Problem Statement:

Primary objective is to understand the factors contributing to its overall quality. With a dataset comprising 1599 observations and 12 independent variables, including acidity, sugar content, sulfur dioxide levels, and alcohol concentration.

We aim to investigate how these chemical components influence the wine’s quality rating, which ranges from 0 to 10.

By identifying the key contributors to wine quality, we strive to provide insights that can assist winemakers in enhancing their production processes and crafting superior-quality wines.

Questions:

  1. Explain the data collection process (10 points)

link:

https://www.kaggle.com/datasets/yasserh/wine-quality-dataset

Updation frequency: Annually

Description:

This dataset pertains to red variations of Portuguese “Vinho Verde” wine. It contains information about the quantities of different chemicals found in the wine and how they influence its overall quality. The dataset can be approached as either a classification or regression task. However, it’s important to note that the classes are ordered and not evenly distributed; for instance, there are more instances of normal-quality wines compared to excellent or poor ones.

Your objective is to use the provided data to predict the quality of wine. This project presents a straightforward yet demanding task: forecasting the quality of wine.

This data frame contains the following columns:

Input variables (based on physicochemical tests):

1 - fixed acidity

2 - volatile acidity

3 - citric acid

4 - residual sugar

5 - chlorides

6 - free sulfur dioxide

7 - total sulfur dioxide

8 - density

9 - pH

10 - sulphates

11 - alcohol

Output variable (based on sensory data):

12 - quality (score between 0 and 10)

Objective: Understand the Dataset & cleanup (if required).

Build classification models to predict the wine quality.

Also fine-tune the hyperparameters & compare the evaluation metrics of various classification algorithms.

# Library to read CSV file
library(readr)
## Warning: package 'readr' was built under R version 4.3.2
# Data visualization libraries
library(ggplot2)     # ggplot2 for creating versatile plots
## Warning: package 'ggplot2' was built under R version 4.3.2
library(ggcorrplot)  # ggcorrplot for visualizing correlation matrices
## Warning: package 'ggcorrplot' was built under R version 4.3.2
library(ggridges)    # ggridges for creating ridge plots
## Warning: package 'ggridges' was built under R version 4.3.2
library(ggvis)       # ggvis for interactive web-based visualizations
## Warning: package 'ggvis' was built under R version 4.3.2
## 
## Attaching package: 'ggvis'
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library(ggthemes)    # ggthemes for additional plot themes
## Warning: package 'ggthemes' was built under R version 4.3.2
library(cowplot)     # cowplot for arranging and annotating plots
## Warning: package 'cowplot' was built under R version 4.3.2
## 
## Attaching package: 'cowplot'
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library(gganimate)   # gganimate for creating animated plots
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## No renderer backend detected. gganimate will default to writing frames to separate files
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## - the `gifski` package for gif output
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## and restarting the R session
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# Data manipulation and analysis libraries
library(caret)       # caret for machine learning model building and evaluation
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## Loading required package: lattice
library(dplyr)       # dplyr for data manipulation
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library(tidyverse)   # tidyverse for data wrangling
## Warning: package 'tidyverse' was built under R version 4.3.2
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## ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
library(GGally)      # GGally for plot matrix visualizations
## Warning: package 'GGally' was built under R version 4.3.2
## Registered S3 method overwritten by 'GGally':
##   method from   
##   +.gg   ggplot2
options(scipen=999)
library(readr) # Library to read CSV file
library(ggplot2)
# Load necessary libraries
library(ggplot2)
library(ggcorrplot)
library(caret)
library(scatterplot3d)
library(SciViews)
## Warning: package 'SciViews' was built under R version 4.3.2
library(car)
## Loading required package: carData
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library(lattice)
library(GGally)
# load packages
library(lattice)
library(ggplot2)


library(ggridges)
library(ggvis)
library(ggthemes)
library(cowplot)
library(gapminder)
## Warning: package 'gapminder' was built under R version 4.3.2
library(gganimate)
library(dplyr)
library(tidyverse)

# Additional visualization libraries
library(scatterplot3d)  # scatterplot3d for 3D scatter plots
library(SciViews)       # SciViews for scientific data visualization
library(car)            # car for additional regression plots
library(lattice)        # lattice for lattice plots
library(grid)           # grid for low-level plotting functions
library(gridExtra)      # gridExtra for arranging multiple plots
## 
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library(RColorBrewer)  # RColorBrewer for additional color palettes
library(gapminder)     # gapminder for example dataset

Data Frame: [1] Datatypes [2] Dataframe view

# Read the CSV file
df <- read_csv("C:/Rutgers/Subjects/Spring Sem/Multivariate Analysis/Data/wine.csv")
## Rows: 1599 Columns: 12
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): quality
## dbl (11): fixed acidity, volatile acidity, citric acid, residual sugar, chlo...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
# Retrieve the full column specification
spec(df)
## cols(
##   `fixed acidity` = col_double(),
##   `volatile acidity` = col_double(),
##   `citric acid` = col_double(),
##   `residual sugar` = col_double(),
##   chlorides = col_double(),
##   `free sulfur dioxide` = col_double(),
##   `total sulfur dioxide` = col_double(),
##   density = col_double(),
##   pH = col_double(),
##   sulphates = col_double(),
##   alcohol = col_double(),
##   quality = col_character()
## )
df
## # A tibble: 1,599 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>

*************************2) Exploratory Data Analysis and Visualizations (50 points)********************************

Univarite Analysis:

[1] Free Sulhpur and Sulphur dioxide have data points above the max range as outliers

[2] Density, pH, Sulphate Seem to be equally distrbuted at median

[3] PH seems to be equally distibuted at medium

[4] Scaling would yeild better result as range will be normallized for all the attributes

boxplot(df[,1:5])

boxplot(df[,6:11])

Bivariate Plot :

Wine Quality (Dependent Variable) Bar Plot

[1] As per observation there are 855 records have vaulue “good” and 744 are rated as bad. Target variable seems to have fair distribution

# Count the occurrences of "bad" and "good" in the quality column
quality_counts <- table(df$quality)

# Create a bar plot with count values displayed on top
ggplot(data = NULL, aes(x = names(quality_counts), y = quality_counts)) +
  geom_bar(stat = "identity", fill = c("pink", "green")) +
  geom_text(aes(label = quality_counts), vjust = -0.5, color = "black", size = 4) +  # Add count values on top of bars
  labs(title = "Count of Quality Ratings", x = "Quality", y = "Count") +
  theme_minimal()
## Don't know how to automatically pick scale for object of type <table>.
## Defaulting to continuous.
## Don't know how to automatically pick scale for object of type <table>.
## Defaulting to continuous.

Multivariate Analysis:

I have split our data into 25 batches to apply star visualization. As due to lots of records the visualization was not clear and very ambiguous to deduce any hypothesis.

But only showing 3

Let’s go through the first three plots.

[1] ‘Bad’ is skewed more towards left side, whereas ‘good’ is little contracted from the left side.

[2] ‘Bad’ is little contracted while ‘good’ is quite populated in the bottom

[3] ‘Bad’ seems to be skewed again towards left side whereas ‘good’ has more regular shape and evenly distributed.

Patterns Revealed: As per obeservation there is a possiblity of left skewedness for ‘bad’ occurences. While ‘good’ ones are more evenly distributed and contracted

# Total number of rows in the dataset
total_rows <- nrow(df)

# Calculate the number of rows in each batch
batch_size <- ceiling(total_rows / 25)

# Create a sequence of indices to split the dataset into batches
batch_indices <- seq(1, total_rows, by = batch_size)

# Split the dataset into 25 batches
batches <- lapply(1:(length(batch_indices) - 1), function(i) {
  df[batch_indices[i]:batch_indices[i + 1] - 1, ]
})

# Apply the stars() function to each batch and print as star visualization
for (i in seq_along(batches[1:3])) {  # Iterate over the first three batches only
  cat("\n=============================================\n")
  cat("Batch", i, ":\n\n")
  print(stars(batches[[i]], labels = batches[[i]]$quality))
  cat("\n=============================================\n")
}
## 
## =============================================
## Batch 1 :

##    Var1 Var2
## 1   2.3 18.4
## 2   4.6 18.4
## 3   6.9 18.4
## 4   9.2 18.4
## 5  11.5 18.4
## 6  13.8 18.4
## 7  16.1 18.4
## 8  18.4 18.4
## 9   2.3 16.1
## 10  4.6 16.1
## 11  6.9 16.1
## 12  9.2 16.1
## 13 11.5 16.1
## 14 13.8 16.1
## 15 16.1 16.1
## 16 18.4 16.1
## 17  2.3 13.8
## 18  4.6 13.8
## 19  6.9 13.8
## 20  9.2 13.8
## 21 11.5 13.8
## 22 13.8 13.8
## 23 16.1 13.8
## 24 18.4 13.8
## 25  2.3 11.5
## 26  4.6 11.5
## 27  6.9 11.5
## 28  9.2 11.5
## 29 11.5 11.5
## 30 13.8 11.5
## 31 16.1 11.5
## 32 18.4 11.5
## 33  2.3  9.2
## 34  4.6  9.2
## 35  6.9  9.2
## 36  9.2  9.2
## 37 11.5  9.2
## 38 13.8  9.2
## 39 16.1  9.2
## 40 18.4  9.2
## 41  2.3  6.9
## 42  4.6  6.9
## 43  6.9  6.9
## 44  9.2  6.9
## 45 11.5  6.9
## 46 13.8  6.9
## 47 16.1  6.9
## 48 18.4  6.9
## 49  2.3  4.6
## 50  4.6  4.6
## 51  6.9  4.6
## 52  9.2  4.6
## 53 11.5  4.6
## 54 13.8  4.6
## 55 16.1  4.6
## 56 18.4  4.6
## 57  2.3  2.3
## 58  4.6  2.3
## 59  6.9  2.3
## 60  9.2  2.3
## 61 11.5  2.3
## 62 13.8  2.3
## 63 16.1  2.3
## 64 18.4  2.3
## 
## =============================================
## 
## =============================================
## Batch 2 :

##    Var1 Var2
## 1   2.3 20.7
## 2   4.6 20.7
## 3   6.9 20.7
## 4   9.2 20.7
## 5  11.5 20.7
## 6  13.8 20.7
## 7  16.1 20.7
## 8  18.4 20.7
## 9   2.3 18.4
## 10  4.6 18.4
## 11  6.9 18.4
## 12  9.2 18.4
## 13 11.5 18.4
## 14 13.8 18.4
## 15 16.1 18.4
## 16 18.4 18.4
## 17  2.3 16.1
## 18  4.6 16.1
## 19  6.9 16.1
## 20  9.2 16.1
## 21 11.5 16.1
## 22 13.8 16.1
## 23 16.1 16.1
## 24 18.4 16.1
## 25  2.3 13.8
## 26  4.6 13.8
## 27  6.9 13.8
## 28  9.2 13.8
## 29 11.5 13.8
## 30 13.8 13.8
## 31 16.1 13.8
## 32 18.4 13.8
## 33  2.3 11.5
## 34  4.6 11.5
## 35  6.9 11.5
## 36  9.2 11.5
## 37 11.5 11.5
## 38 13.8 11.5
## 39 16.1 11.5
## 40 18.4 11.5
## 41  2.3  9.2
## 42  4.6  9.2
## 43  6.9  9.2
## 44  9.2  9.2
## 45 11.5  9.2
## 46 13.8  9.2
## 47 16.1  9.2
## 48 18.4  9.2
## 49  2.3  6.9
## 50  4.6  6.9
## 51  6.9  6.9
## 52  9.2  6.9
## 53 11.5  6.9
## 54 13.8  6.9
## 55 16.1  6.9
## 56 18.4  6.9
## 57  2.3  4.6
## 58  4.6  4.6
## 59  6.9  4.6
## 60  9.2  4.6
## 61 11.5  4.6
## 62 13.8  4.6
## 63 16.1  4.6
## 64 18.4  4.6
## 65  2.3  2.3
## 
## =============================================
## 
## =============================================
## Batch 3 :

##    Var1 Var2
## 1   2.3 20.7
## 2   4.6 20.7
## 3   6.9 20.7
## 4   9.2 20.7
## 5  11.5 20.7
## 6  13.8 20.7
## 7  16.1 20.7
## 8  18.4 20.7
## 9   2.3 18.4
## 10  4.6 18.4
## 11  6.9 18.4
## 12  9.2 18.4
## 13 11.5 18.4
## 14 13.8 18.4
## 15 16.1 18.4
## 16 18.4 18.4
## 17  2.3 16.1
## 18  4.6 16.1
## 19  6.9 16.1
## 20  9.2 16.1
## 21 11.5 16.1
## 22 13.8 16.1
## 23 16.1 16.1
## 24 18.4 16.1
## 25  2.3 13.8
## 26  4.6 13.8
## 27  6.9 13.8
## 28  9.2 13.8
## 29 11.5 13.8
## 30 13.8 13.8
## 31 16.1 13.8
## 32 18.4 13.8
## 33  2.3 11.5
## 34  4.6 11.5
## 35  6.9 11.5
## 36  9.2 11.5
## 37 11.5 11.5
## 38 13.8 11.5
## 39 16.1 11.5
## 40 18.4 11.5
## 41  2.3  9.2
## 42  4.6  9.2
## 43  6.9  9.2
## 44  9.2  9.2
## 45 11.5  9.2
## 46 13.8  9.2
## 47 16.1  9.2
## 48 18.4  9.2
## 49  2.3  6.9
## 50  4.6  6.9
## 51  6.9  6.9
## 52  9.2  6.9
## 53 11.5  6.9
## 54 13.8  6.9
## 55 16.1  6.9
## 56 18.4  6.9
## 57  2.3  4.6
## 58  4.6  4.6
## 59  6.9  4.6
## 60  9.2  4.6
## 61 11.5  4.6
## 62 13.8  4.6
## 63 16.1  4.6
## 64 18.4  4.6
## 65  2.3  2.3
## 
## =============================================

Multivariate Analsyis: As per the correlation plot observe the attributes having a strong correlation based on color theme.

Observations: [1] Fixed acidity has high correlation with: density and citric acid Total Sulphur dioxide and free sulphur have fairly good [2] correlation [3] PH is negatively correlated to fixed acidity. Volatile acid and citric acid have a fair negative correlation

[4] THere are a few more observations and data seems to have highly related attributes. Which incates we can perform deeper analysis

correlation_matrix<- cor(df[,0:11])
ggcorrplot(correlation_matrix,type = "lower", lab = TRUE)

Data Preprocessing:

[1] one hot encoding: To check correlation of these parameters to good and bad qualtiy of wine

# Define a function to identify categorical columns
is_categorical <- function(col_type) {
  identical(col_type, "character")  # Check if the column type is character
}

# Extract the column names and their data types from the dataframe
col_names <- names(df)
col_types <- sapply(df, class)

# Identify categorical columns in the dataframe
categorical_cols <- col_names[sapply(col_types, is_categorical)]

# Apply one-hot encoding to the categorical columns
dummy_model <- dummyVars(~., data = df[, categorical_cols])
df_categorical_encoded <- predict(dummy_model, newdata = df[, categorical_cols])

# Combine the encoded categorical columns into a single dataframe
df_final <- cbind(df[, !col_names %in% categorical_cols], df_categorical_encoded)

# View the first few rows of the final combined dataframe
head(df_final)
##   fixed acidity volatile acidity citric acid residual sugar chlorides
## 1           7.4             0.70        0.00            1.9     0.076
## 2           7.8             0.88        0.00            2.6     0.098
## 3           7.8             0.76        0.04            2.3     0.092
## 4          11.2             0.28        0.56            1.9     0.075
## 5           7.4             0.70        0.00            1.9     0.076
## 6           7.4             0.66        0.00            1.8     0.075
##   free sulfur dioxide total sulfur dioxide density   pH sulphates alcohol
## 1                  11                   34  0.9978 3.51      0.56     9.4
## 2                  25                   67  0.9968 3.20      0.68     9.8
## 3                  15                   54  0.9970 3.26      0.65     9.8
## 4                  17                   60  0.9980 3.16      0.58     9.8
## 5                  11                   34  0.9978 3.51      0.56     9.4
## 6                  13                   40  0.9978 3.51      0.56     9.4
##   qualitybad qualitygood
## 1          1           0
## 2          1           0
## 3          1           0
## 4          0           1
## 5          1           0
## 6          1           0

Multivariate plot

Now our data into binary variable for good and bad we can clearly observe that:

[1]Quality of good is positively correlated wit alcohol

[2] Whereas bad quality is negatively correlated

[3]Same relation with sulphates

[4]density, total sulfur dioxide and chlorides are neagtively correlated with good quality and vice versa

[5] PH and residual sugar have least correlation to quality of wine

we have identified the features that make wine good and bad.

correlation_matrix<- cor(df_final[,1:13])
ggcorrplot(correlation_matrix,type = "lower", lab = TRUE)

3D Visualization: 3 Varaites

[1] Observation: The matrix elements on the right side seem to be scattered and left ones seem to be clusetered and densely populated.

But it is difficult to come to a conculsion due to difficulty in viewing each element

As per my observation based on 3D Scatter plot

[1] Quality of wine drops when acidity increases

[2] Quality of wine remains consistent with respect to alcohol contet with low acidity

s3d <- scatterplot3d(df$`fixed acidity`, df$alcohol,df$pH,pch=c(1,16)[as.numeric(df$quality)],xlab="fixed acidity", ylab="alcohol", angle=45,zlab="Quality of Wine", lty.hide=2,type="h",y.margin.add=0.1,font.axis=2,font.lab=2)
## Warning in scatterplot3d(df$`fixed acidity`, df$alcohol, df$pH, pch = c(1, :
## NAs introduced by coercion

Multivarite Advance analysis:

Obervations :

[1] As per this plot we can see that Alcohol plots for good and bad are not overlapping and shows opposite pattern. This indicates that alcohol variable can be used for further models

[2]Similar for volatile acid but not opposite trend, only slightly deviating, meanignful variable and can be used int further analysis

ggscatmat(df, columns=1:12, color="quality")
## Warning in ggscatmat(df, columns = 1:12, color = "quality"): Factor variables
## are omitted in plot

BiVariate Plot:

Obervation:

[1] Alcohol vs Density plot: Density seems to be negatively correlated to alcohol content,

[2] possibility could be density of other contents to wine leading to low quality as high alcohol score has been graded as good quality.

[3] Correlation line: slope seems to be negative, hence negatively correlated.

# Create a data frame from your existing 'df' object
df1 <- df_final[!sapply(df_final, is.function)] 

# Attach the 'df' data frame to the search path
attach(df)
df
## # A tibble: 1,599 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>
# Now you can use variables in 'df' directly without referencing the data frame
plot(df_final$density ~ df_final$alcohol)
abline(lm(df_final$density ~ df_final$alcohol), col = "red")

BiVariate analysis:

volatile acidity vs alcohol:

[1]Comparing correlated variable observed earlier but we can see they both follow a similar pattern as per scatter plot.

# ggplot
ggplot(df, aes(x = alcohol, y = `volatile acidity`)) + geom_point()

Multivariate Analysis:

Volatile acidity vs pH vs Qualtiy=good only

[1] Good quality wine infers to lighter tone of blue color We can see that good quality coffee in the first plot that it drops with increasing volatile acidity but remains unaffectde by pH

Volatile acidity vs pH vs Qualtiy=bad only [2] inverse for bad quality wine, bad quality wine is ranging towards high volatile acidity

ggplot(df_final, aes(x = pH, y = `volatile acidity`)) + geom_point(aes(color = `qualitygood`))

ggplot(df_final, aes(x = pH, y = `volatile acidity`)) + geom_point(aes(color = `qualitybad`))

Univariate:

There are less records for high alcohol content in entire data frame as histogram is skewed (populated) towards left(low value range)

# histogram
ggplot(df, aes(alcohol)) + geom_histogram()
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

ggplot(df, aes(alcohol)) + geom_histogram(aes(fill = after_stat(count)))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Bivariate plot:

[1] As per regression we can determine that alcohol is inversely correlated to volatile acidity as the slope is negative.

[2] We can also confirm on our hypothesis that citric acid is inversely correlated to pH content in wine as per the negative slope

[3] As per regression model for stat_smooth we can detemrine that as the volatile acidity increase wine quality rating will drop further

# regression
ggplot(df, aes(x = alcohol, y = `volatile acidity`)) + geom_point() + geom_smooth(method = lm)
## `geom_smooth()` using formula = 'y ~ x'

ggplot(df, aes(x = pH, y = `citric acid`)) + geom_point() + stat_smooth()
## `geom_smooth()` using method = 'gam' and formula = 'y ~ s(x, bs = "cs")'

ggplot(df_final, aes(x = `volatile acidity`, y = `qualitygood`)) + geom_point() + stat_smooth()
## `geom_smooth()` using method = 'gam' and formula = 'y ~ s(x, bs = "cs")'

  1. Exploratory Data Analysis and Visualizations (50 points)

Part - 2

Statistics test:

x <- dist(scale(df[, c("fixed acidity", "alcohol", "volatile acidity")],
                center = FALSE))

as.dist(round(as.matrix(x), 2)[1:15, 1:15])
##       1    2    3    4    5    6    7    8    9   10   11   12   13   14
## 2  0.33                                                                 
## 3  0.12 0.22                                                            
## 4  0.88 1.15 0.95                                                       
## 5  0.00 0.33 0.12 0.88                                                  
## 6  0.07 0.40 0.19 0.82 0.07                                             
## 7  0.19 0.50 0.29 0.69 0.19 0.12                                        
## 8  0.11 0.42 0.21 0.81 0.11 0.06 0.13                                   
## 9  0.22 0.54 0.32 0.67 0.22 0.15 0.04 0.15                              
## 10 0.37 0.69 0.47 0.59 0.37 0.31 0.21 0.27 0.18                         
## 11 0.23 0.56 0.35 0.76 0.23 0.17 0.15 0.16 0.13 0.21                    
## 12 0.37 0.69 0.47 0.59 0.37 0.31 0.21 0.27 0.18 0.00 0.21               
## 13 0.27 0.54 0.37 0.89 0.27 0.23 0.28 0.21 0.27 0.31 0.16 0.31          
## 14 0.17 0.49 0.28 0.72 0.17 0.11 0.04 0.13 0.07 0.24 0.14 0.24 0.27     
## 15 0.23 0.49 0.29 0.67 0.23 0.19 0.12 0.21 0.15 0.30 0.27 0.30 0.39 0.13
x <- dist(scale(df[, c("fixed acidity", "alcohol", "volatile acidity")],
                center = FALSE))

Y<- as.dist(round(as.matrix(x), 2)[1:1200, 1:1200])
x <- df[, c("fixed acidity", "alcohol", "volatile acidity")]
x
## # A tibble: 1,599 × 3
##    `fixed acidity` alcohol `volatile acidity`
##              <dbl>   <dbl>              <dbl>
##  1             7.4     9.4               0.7 
##  2             7.8     9.8               0.88
##  3             7.8     9.8               0.76
##  4            11.2     9.8               0.28
##  5             7.4     9.4               0.7 
##  6             7.4     9.4               0.66
##  7             7.9     9.4               0.6 
##  8             7.3    10                 0.65
##  9             7.8     9.5               0.58
## 10             7.5    10.5               0.5 
## # ℹ 1,589 more rows

multivariate outlier detection analysis using Mahalanobis distance. Let’s break down each part of the code:

Col Means: calculate the mean value of each column

cm <- colMeans(x)
cm
##    fixed acidity          alcohol volatile acidity 
##        8.3196373       10.4229831        0.5278205

Calaculates the covariance of each column and the covariance matrix provides information about how the variables in the dataframe vary together.

Calculation of Mahalanobis disctance for each distance

MARGIN = 1 specifies that the function should be applied to each row

function(x): takes a row vector x as input and calculates the Mahalanobis distance for that row.

t(x - cm) %% solve(S) %% (x - cm): calculates the squared Mahalanobis distance for the row x

x - cm: This subtracts the column means (cm) from the row vector x

solve(S): This computes the inverse of the covariance matrix S

Plotting 3 clusters to identify outlier points for 3 attributes,

  1. Center cluster is density based and indicating similarity

  2. Outer clusters have varying nature and based on distance from the opposite end, they would display difference in nature.

  3. Outermost cluster is not visible w.r.t colours but dark points at outer end are outliers

library(reshape2)
## Warning: package 'reshape2' was built under R version 4.3.2
## 
## Attaching package: 'reshape2'
## The following object is masked from 'package:tidyr':
## 
##     smiths
S <- cov(x)

print(S)
##                  fixed acidity     alcohol volatile acidity
## fixed acidity       3.03141639 -0.11442115      -0.07985142
## alcohol            -0.11442115  1.13564740      -0.03860022
## volatile acidity   -0.07985142 -0.03860022       0.03206238
d <- apply(x, MARGIN = 1, function(x)t(x - cm) %*% solve(S) %*% (x - cm))
print(d)
##    [1]  1.68615055  3.94121333  1.78965423  4.25204675  1.68615055  1.43555681
##    [7]  1.03043999  0.74711321  0.87493802  0.30358052  2.37292881  0.30358052
##   [13]  2.78787164  1.69523397  1.52712640  1.52712640  2.04286045  1.15527830
##   [19]  2.16583191  3.87448971  4.81269207  1.86395078  1.56058738  1.09805120
##   [25]  2.51877859  4.56151408  2.00616244  1.56058738  1.93214393  0.67838160
##   [31]  1.28314747  1.22200106  0.72241548  1.68928611  8.84927618  0.90151311
##   [37]  0.38250883  1.63470977 11.75293976  0.71935834  0.71935834  1.25842036
##   [43]  0.34066743  0.55098442  1.76493963 10.25709949  5.68690316  3.17783956
##   [49]  4.49621475  8.01716848  1.71466144  2.32674260  2.47185788  2.04236316
##   [55]  0.30050773  0.97757509  1.92610956  1.26494999  0.29872477  2.79881707
##   [61]  2.25400542  1.66647208  1.17228569  1.74164746  1.76737442  1.76737442
##   [67]  0.99627239  1.70161641  1.42614364  1.06781408  1.00997002  1.20990223
##   [73]  1.35207984  1.68725510  2.55828354  0.44771108  0.44771108  2.58887833
##   [79]  1.95793526  1.62991467  4.14264096  1.83987554  2.27421520  1.54354433
##   [85]  4.30535123  0.81989011  0.34344345  1.01564176  1.74625105  2.49215541
##   [91]  0.93749833  0.34344345  0.45609605  1.01564176  9.34912604  9.30286426
##   [97]  2.43394097  2.42740763  4.35911970  1.88651899  0.23405335  0.15594754
##  [103]  1.88651899  1.35649517  1.81550390  1.35649517  2.30238993  2.76144311
##  [109]  2.62514617  2.69518180  0.88363420  0.52164459  0.43512167  2.76394428
##  [115]  0.88363420  0.71495659  0.15936921  1.06377190  0.39181259  2.23493336
##  [121]  9.72487437  0.39181259  2.05982908  1.48974331  1.07856877  1.22145449
##  [127] 23.64782705 23.49687996  0.14833261  4.85403037  2.00549258  7.85419042
##  [133]  7.85419042  1.73450755  8.46348545  1.85473927  1.57439097  3.08312389
##  [139]  0.88363420  0.88363420  1.85473927  1.57439097 14.50465548  4.29798044
##  [145] 14.50465548  1.29699305  2.48825417  1.68545444  0.98891642  0.58844593
##  [151]  2.23685249  1.13713217  0.38198684  0.38198684  1.07517239  1.07517239
##  [157]  1.07517239  1.07517239  1.90750589  1.99773247  5.67625923  1.81999018
##  [163]  0.28939050  1.27072371  1.33937368  0.97631442  0.96576992  2.35103580
##  [169]  0.89075317  1.53672016  4.74279903  2.30138232  2.30138232  1.63671704
##  [175]  2.71201676  1.86761310  2.71201676  0.25051243  2.80372144  0.93309012
##  [181]  0.93309012  1.29689434  2.20658768  1.99332360  2.10596343  2.37931942
##  [187]  3.20353175  1.24507265  1.02671581  1.08187743  1.10426443  3.56866711
##  [193]  1.63523812  0.68912393  0.68912393  1.05351706  0.41206601  4.18051720
##  [199] 11.81560141 12.40070670  1.64575408  2.36955288  1.99110333  3.26825643
##  [205]  3.13852695  7.16862171  7.16862171  1.24949847  1.73796376  3.19649438
##  [211]  4.71850411  1.25083649  3.55934566  0.12513490  1.46892666  0.75535517
##  [217]  0.94177945  2.29601552  0.99115176  0.94944286  3.07366782  1.39852230
##  [223]  1.61259886  0.59722513  0.41706320  0.57178995  0.89789975  3.38835238
##  [229]  0.57178995  0.93071422  5.81128249  1.37539017  1.77873852  0.93071422
##  [235]  7.90860519  2.32366704  2.32366704  1.88809807  2.32366704  7.90860519
##  [241]  1.41907116  4.83157638  0.50108839 16.66372980 16.66372980  0.87378233
##  [247]  1.57131968  1.15511170  0.54653033  0.87378233  2.96611567  0.78975842
##  [253]  2.91643494  2.27028271  0.78975842  1.17472877  3.06780587  2.63690530
##  [259]  2.14276407  1.94633508  3.41643249  6.48467133  0.23756802  2.76703903
##  [265]  7.08616005  5.13677111  3.81816360  5.35219707  1.83706210  5.96615231
##  [271]  0.12709220  5.96615231  2.58026081  1.73201743  1.33786657  0.12709220
##  [277]  1.83706210  5.96615231  5.96215370  0.53687858  5.78636640  3.43598600
##  [283]  1.98765921  0.53687858  1.34722960  1.34722960  4.48212261  1.08845631
##  [289]  0.08310000  4.75220196  0.08310000  4.60820132  1.62911590  2.47829139
##  [295]  8.90607077  2.63920163  6.09956647  1.20925504  1.07766851  1.52910859
##  [301]  0.27891485  5.40144218  1.07149397  1.33044115  1.53953198  2.27374058
##  [307]  1.18772582  2.25970253  2.13749148  4.19825386  2.27374058  1.08995873
##  [313]  1.10615978  1.20230129  1.58077363  2.01534136  0.71699702  3.23723282
##  [319]  3.45098444  3.23723282  3.45098444  0.97398516  1.28982051  2.17287909
##  [325]  2.16606539  2.16606539  5.44434703  2.46788731  9.48837725  2.52766894
##  [331]  5.29891733  5.29891733  0.98180183  0.40840148  2.33679104 11.33384311
##  [337]  4.00618199  0.58655026  7.29653599  6.79916241  6.54285161  2.54060189
##  [343]  2.72037769  2.72037769  5.18785949  1.22578929  7.22667485 13.76305590
##  [349]  0.76042588  3.11968868  3.29081735  3.29288936  1.50608616 17.68402802
##  [355]  7.05743841  8.07077815  3.76860121  3.20148832  4.23984797  6.32734321
##  [361]  1.54372956  0.53841356  4.95164295  5.82452571  8.02823813  2.76939996
##  [367]  8.02823813  3.12247473  3.11149955  3.71332048  2.08042038  7.36152249
##  [373]  1.93599358  1.75925272 11.05413563  6.11993274  3.80122971  3.71332048
##  [379] 13.97602826  0.43938819  4.22011493  9.60741718  4.22011493  4.22011493
##  [385]  1.72483286  0.87468490  1.53230199  0.96129895  2.02316821  1.24005727
##  [391] 11.43887398  9.60741718  2.03140863  1.83180718  7.51263901 11.04183160
##  [397]  1.97298885  4.80187098  4.80187098  2.49967737  1.97298885  2.82314448
##  [403]  5.14910987  4.06847986  2.05538519  1.82137455  0.92664469  4.72038454
##  [409]  2.57170941  6.16707342  1.31279524  1.19236053  2.31205841  2.45138423
##  [415]  0.82830483  2.06174672  3.49462393  0.58705355  4.32562024  2.20939396
##  [421]  2.71564236  7.79132003  6.88980927  3.44716992  6.88980927  7.79132003
##  [427]  2.48748418  3.49040315  1.28445576 13.31452402  3.44716992  1.50260234
##  [433]  9.83643107  5.88677990  1.82389353  5.88677990  0.63316865  3.26496331
##  [439]  1.82389353  1.79741427  6.75600117  5.13474326 23.74851547  2.29168270
##  [445]  6.45681257  2.35721534  5.84322901  0.90498064  0.06591459  4.48198083
##  [451]  4.48198083  3.00972106  0.98863928  2.51239011  4.29196014 14.21097635
##  [457]  0.31146142  1.13332276  2.51239011  5.33167415  1.04759692  1.18857157
##  [463]  5.01909877  2.01796367  5.42389317  2.98490263  2.62284900 11.70978669
##  [469]  4.78357054  3.12925378  7.51677636  1.71604133  5.84511167  1.44510781
##  [475]  4.13102301  1.70089659  3.06049479  3.34271519  1.70089659  1.53586484
##  [481]  4.71181824  2.72090234  3.20274086  3.20274086 10.26240954  2.39999382
##  [487]  2.39999382  2.10756915  4.14457621  0.84439435  3.13263774  7.74745404
##  [493]  8.06082024  2.94384303  3.94243470  2.55088926  2.12419644  2.09308641
##  [499]  2.55088926  2.94384303  2.12419644  3.87766973  3.87766973  3.11212558
##  [505]  3.35800632  5.53415988  3.25632132  4.56749370  1.30976284  9.52508055
##  [511]  6.04376383  1.30976284  2.49839746  3.75677772  3.75677772  1.40244234
##  [517] 10.19449980  4.92041298  5.26329453  1.61435091  3.08171860  3.00484208
##  [523]  1.29948592  1.84881861  1.36087058  2.40042759  1.61435091  2.10983935
##  [529]  3.71386566  2.05730889  3.18134174  4.32788721  4.32788721  7.07611258
##  [535]  1.05563475  3.18134174  2.05730889  3.27265190  9.62928399  3.65899584
##  [541]  0.91855213  0.80786791  1.86513635  5.06669021 15.21518952  1.93309144
##  [547]  1.06781361  2.56536121  5.65844811  1.04152691  1.92151758  0.75894691
##  [553]  0.67642645 11.87087600 21.89714020 21.89714020  4.37866048 22.44733943
##  [559]  4.37866048 13.40089849  9.33715543  1.87649138  1.42665844  2.83703072
##  [565] 13.40089849  9.33715543  2.39961806  2.39961806  0.84016721  3.88356375
##  [571]  3.93071595  3.88356375  3.13629627  2.35328589  2.50660886  6.08323681
##  [577]  0.94058055  1.21355936  0.55936775  3.07849690  5.72256059  5.72256059
##  [583]  4.83427374  5.55631668  4.43528700  0.97257068  3.25398620  2.15385225
##  [589] 14.33063428  2.36176429  0.83992314  2.62963259  0.83992314  2.54233755
##  [595]  1.59307852  1.24469400  6.43241777  4.95164295  0.40056327  7.85287996
##  [601]  4.93782308  9.22154889  3.46380501  9.22154889  1.54927697  1.34877503
##  [607]  3.32362899  0.11939652  2.07236089  6.31688759  4.94975343  8.56726263
##  [613]  0.59580518  1.29948592  2.37128321  1.17440628  1.17440628  4.37876931
##  [619]  3.14327018  4.31000890  0.95024995  0.94062346  1.73234419  2.53380690
##  [625]  1.27123458  1.27123458  1.62883891  1.62883891  1.14624902  1.66373663
##  [631]  1.14624902  3.82433270  0.81357858 10.23844672  2.59284132  3.57635738
##  [637]  5.69089590  5.67125802  4.78472800  1.92079566  1.65604498  1.27239000
##  [643]  1.65604498  1.27239000  1.65604498  0.45231881  0.82460633  4.30900914
##  [649]  0.60395543  1.96427671  2.47982290  7.59481756 40.51746272  3.12297494
##  [655]  1.00995220  1.48007059  2.47982290  4.71837277  1.24342746  3.89700154
##  [661]  1.24342746  3.26672757  1.08815983  2.56929360  4.75427299  0.94752338
##  [667]  0.93829948  4.81337392  3.85835580  4.81337392  2.04032190  1.72176000
##  [673] 19.58637626  1.72176000  3.32028054  0.69125460  3.32028054  2.64904825
##  [679]  2.11926864  4.34941996  9.53560211  0.39924178  0.60488988  3.40837967
##  [685]  8.85124454  3.40837967  2.20277427  1.03045968  1.30501075  2.24651023
##  [691] 14.82330301  6.01475122  2.02800468  1.18780089  1.23816144  8.04146580
##  [697]  1.50472723  1.50472723  1.08478772  4.27356541 12.15704412  1.50472723
##  [703]  1.64243187  2.28477417  2.52303066  8.69280100  2.17948748  0.40927753
##  [709]  1.34779662  2.08911722 12.34911798  0.84193043  1.58897518  1.71325170
##  [715]  3.01550146  2.28451765  1.71325170  0.72555969  0.59700479  1.46662281
##  [721]  0.59700479  1.59324345  1.07263567  4.18975192 13.08468635  0.94628630
##  [727]  1.97716091  2.16271767  2.16271767 10.26759398  1.01657177  6.88835425
##  [733]  3.17348203  2.18523556  1.31262110  6.16069526  6.16069526  1.13924388
##  [739]  1.73024279  1.90388019  3.61220330  0.95733653  2.56938357  3.69214940
##  [745]  3.45688578  1.38545797  3.89126686  2.75529796  1.35478126  1.38545797
##  [751]  1.02479820  1.02479820  1.21814470  1.02479820  2.11497099  5.17269318
##  [757]  8.12609167  3.81816360  3.81816360  2.04367142  0.65199367  1.40477812
##  [763]  1.23688536  1.40477812  1.59475398  1.57431087  1.01908338  1.03439847
##  [769]  1.01354818  1.47436088  1.01354818  2.02405604  1.35469392  1.89491823
##  [775]  1.89491823  6.97572666  2.00660073  0.83328612  0.32630170  1.03292508
##  [781]  1.62786734  2.21638637  3.36355183  2.21638637  0.88737054  2.47490918
##  [787]  2.47490918  1.14841312  1.14841312  1.28548230  2.33647336  0.96769669
##  [793]  1.03010280  0.40401377  5.72295782  8.33109590  0.89529523  0.94817983
##  [799]  0.47964469  0.47964469  1.42296564  0.18355027  8.44631734  0.76805343
##  [805]  0.26278113  5.92275413  5.22219725  5.92275413  1.84129410  0.37463806
##  [811]  0.48505135  7.77348162  2.22608777  2.12037421  7.03592546  2.22608777
##  [817]  0.76242476  4.67288888  1.97197415  1.29439685  1.41311568 14.54352334
##  [823]  1.38796329  1.38796329  0.77711005  0.83204798  2.85076802  0.83204798
##  [829]  5.03092732  2.29077749  1.21018812  2.29077749  1.68803612  3.69739224
##  [835]  1.58965871  1.54284722  4.29666829  4.29666829  2.36375998  2.41341221
##  [841]  5.39060629  1.23167013  2.09431022  1.75937502  2.69376796  1.68877253
##  [847]  1.68877253  0.95996832  1.68877253  1.66694001  1.39565384  1.39565384
##  [853]  1.23339571  1.08354828  1.08354828  3.48099457  1.08354828  2.68486663
##  [859]  4.61755101  1.23177354  1.26306325 10.13082332  0.83148231  0.97311390
##  [865]  1.26306325  1.01747655  1.43567367  1.15621287  1.23177354  0.69986386
##  [871]  3.45885116  0.67831086  2.25941479  3.23073647  3.35518066  2.62920981
##  [877]  0.84799935  3.45885116  0.44579333  1.23888767  0.51676740  2.42022304
##  [883]  3.08240035  1.23888767  0.44579333  2.16462439  3.11511647  5.13401719
##  [889]  1.24839208  8.35331445  2.40439847  1.12659055  2.20207444  1.12659055
##  [895]  0.88648865  0.59013156  4.51956652  0.59013156  4.51956652  9.54590428
##  [901]  2.64377976  0.70368713  0.70368713  0.89255294  0.89255294  1.01939138
##  [907]  0.66649573  2.50093642  0.39587265  2.86949598  7.32855351  1.95879250
##  [913]  3.99401516  3.35528497  2.86949598  2.78103649  3.74415713  1.92837498
##  [919]  1.03267270  2.42577039  0.77689762  1.03267270  2.42577039  1.92837498
##  [925]  0.59044096  3.06577274  2.90451168  1.66535366  0.59044096  2.87399306
##  [931]  1.02464386  0.70143673  2.13049386  0.70143673  1.02464386  2.74096385
##  [937]  2.74096385  5.93525611  5.92430806  2.48244188  4.44899085  5.52527092
##  [943]  1.30163040  1.12257396  3.46110118  1.66500146  3.58452010  4.53761870
##  [949]  6.10142536  6.10142536  6.10142536  4.53761870  1.83647268  4.05974143
##  [955]  2.97400573  3.47179279  1.35198549  1.27290321  1.80360171  0.25114657
##  [961]  0.45147797  1.76354712  1.89290305  2.27493420  0.45147797  1.27635035
##  [967]  2.34455941  1.61711367  3.09201366  0.95211428  3.00515401  3.00515401
##  [973]  2.52099943  1.13022137  3.14664766  2.64001608  2.64001608  1.55086868
##  [979]  1.79364477  5.00998511  0.21129963  4.87933484  5.70559090  0.21129963
##  [985]  5.00998511  1.02829971  2.09804249  3.51467767  2.39973609  1.97801980
##  [991]  2.39973609  3.86541242  3.78542408  3.86541242  2.74824646  0.29809770
##  [997]  7.74362702  7.74362702  4.35752335  7.73425132  1.41927471  1.44510781
## [1003]  2.71675943  6.04605348  0.41181253  6.04605348  2.71675943  2.60123489
## [1009]  2.74930373  0.80712031  4.22940881  1.41559490  7.25097944  1.13206488
## [1015]  0.73276295  2.62047672  4.47891397  7.18845684  7.18845684  0.72895527
## [1021]  5.19689363  5.19689363  0.66870806  3.81420423  0.17954053  3.38708721
## [1027]  4.97151102  4.62178858  2.40439847  0.17954053  1.59277395  0.60736345
## [1033]  2.92872617  0.23636139  2.04815811  1.46387797  4.80103341  5.10646019
## [1039]  4.31841259  0.54900377  6.06413425  1.42191615  0.54900377  0.96964535
## [1045]  4.33953012  1.71145554  2.29313060  1.11234348  0.55227635  0.47472460
## [1051]  1.11234348  1.72692982  7.72653818  5.04212268  1.68987808  1.68987808
## [1057]  2.69396515  2.87719466  2.45619838  2.69396515  5.48875089  4.15421878
## [1063]  1.36960088  3.66100784  4.03883129  0.29377702  4.56946803  3.38316717
## [1069]  3.38316717  0.48366245  1.51476344  2.68211417  3.31108982  0.40331071
## [1075]  2.68211417  2.69276043  2.35067838  0.91487052  0.91487052  4.14150840
## [1081]  3.97212701  4.14150840  2.83026231  2.34045040  2.83026231  1.95532199
## [1087]  1.93426522  4.19200925  3.76532840  3.76532840  3.78892681  1.81526428
## [1093]  1.51526339  3.19246288  2.00036515  0.71495659  2.00036515  0.98183400
## [1099]  4.59721282  0.98183400  3.91574889  2.38255905  2.27962349  2.38255905
## [1105]  3.45558491  6.21526977  4.99883687  2.60123489  2.36553511  2.24695034
## [1111]  0.16564736  6.07557197  1.58279617  4.11562785 12.24042060  2.05573396
## [1117]  2.05573396  2.05573396  7.72717514  8.19232787  6.66272267  3.87952198
## [1123]  4.28248435  2.57220527  2.05107704  2.84855056 11.28467817  3.86888396
## [1129]  1.20261301  1.63260623  0.50498672  9.61581327  9.21249759  0.97967948
## [1135]  3.00240785  3.82977338  2.67150224  2.67150224  3.10128334  0.87186551
## [1141]  2.43054304  0.88811803  1.65077756  5.33019371  2.62150166  3.88226966
## [1147]  0.60335640  2.78035601  1.69058491  3.49868375  5.43484891  5.29508191
## [1153]  0.42749288  1.08490713  1.76837577  0.42749288  4.70611755  8.33280375
## [1159]  1.73569551  1.43819745  2.45344849  0.29914035  2.51791096  2.67905417
## [1165]  2.67905417  1.43380150  0.92784146  4.02391305  4.24636537  1.14742594
## [1171]  0.96154538  0.65025610  3.91805514  2.69817206  2.69817206  2.16998254
## [1177]  5.37347875  6.05686204  7.36840320  1.19396846  1.19396846  1.79611622
## [1183]  1.37239523  2.07680801  1.27126384  2.60053197  6.52199596  2.60053197
## [1189]  1.27126384  6.56840249  4.15421878  4.79162100  5.68388289  4.85065510
## [1195]  2.16730019  3.64850604  0.83869189  0.49610627  2.82481065  0.83869189
## [1201]  0.49610627  1.59731556  1.59046755  3.32162007  1.77635854  1.77635854
## [1207]  1.77635854  2.64997771  1.77635854  2.90453156  0.98811402  3.32248971
## [1213]  0.98811402  0.97631215  1.92361869  2.36894253  0.83757150  2.81388290
## [1219]  0.57737511  0.73780572  3.74415967  3.74415967  0.66781654  4.08762247
## [1225]  6.06486849  1.35256797  1.61989940  0.77307695 11.89828437  1.77860534
## [1231]  5.22227026  3.09211382  1.77860534  5.04177123  7.96903181  4.38223461
## [1237]  1.08126068  7.96903181  1.59389206  3.31831473  1.41015786  1.69356254
## [1243]  3.09201366  0.75453229  5.34015779  0.28057966  1.49418230  0.28057966
## [1249]  1.62392509  0.76482427  0.76482427  0.60109011  1.53163748  1.10092396
## [1255]  1.35517805  2.02190119  1.61248819  0.86781286  1.72376897  1.72376897
## [1261]  1.31050901  9.37768229  1.13250970  2.29076104  2.07058299  0.43920407
## [1267]  0.43920407  2.41313371  2.79291340 13.27794378 14.57911317  1.86691749
## [1273]  2.74465343  1.40352231  0.75100616  1.53964628  2.37579261  1.44705812
## [1279]  1.53964628  2.61909883  0.86438032  0.86438032  2.32473726  0.47051314
## [1285]  1.30195754  3.14600967  7.59218977  6.72830965  0.66662110  0.66662110
## [1291]  2.04072456  0.72055978  5.64346715  1.83676763  0.72055978  1.85298759
## [1297]  1.85298759  2.81362217  4.90120808 39.11458009  7.00681750  6.10188171
## [1303]  1.18304278  2.38117596  2.92074250  0.64654283  1.94431052  1.74174142
## [1309]  1.94431052  2.01036443  0.64654283  5.81503162 14.72381648  2.34296213
## [1315]  2.34296213  0.71202089  7.74758002  2.91487747  0.71202089  3.16038227
## [1321]  1.57796522  8.36088159  1.69298448  1.07524384  1.27410837  1.27410837
## [1327]  1.27410837  1.27410837  2.69632954  0.68120142  0.68120142  4.26682550
## [1333]  1.38557463  2.75916038  2.99327372  5.17025739  3.23691936  3.23691936
## [1339]  3.23691936  0.27352885  0.27352885  0.27352885  0.17567411  0.27352885
## [1345]  3.76620546  0.39760469  2.37753275  1.37308479  1.37308479  0.76708155
## [1351]  0.49266851  2.42784336  0.49304621  0.49304621  0.60595013  4.55400563
## [1357]  4.17234217  1.06354969  1.18749679  3.63215892  0.58889652  3.46784505
## [1363]  3.63215892  2.96213677  2.31779397  1.07856877  1.64139996  0.68617624
## [1369]  1.94737000  1.02215867  3.00668058  1.56878930  3.00668058  2.23079717
## [1375]  2.90650044  0.70747422  4.19215021  5.76628350  1.27321623  0.36653354
## [1381]  0.36653354  3.30390050  0.35509299  0.35509299  2.21456374  3.21588567
## [1387]  1.04115236  1.04115236  1.13321780  1.90967955  5.29680165  0.86142112
## [1393]  0.93051878  0.10432243  2.80942219  1.30408903  1.25443786  0.62918300
## [1399]  0.66662110  1.42063358  0.92119965  0.92119965  3.34524009  2.70643840
## [1405]  0.12044558  2.67622578  2.83508921  1.98883252  4.47274037  1.98883252
## [1411]  9.51185495  1.60969814  2.83508921  1.07844256  2.73135687  2.62626295
## [1417]  2.73135687  3.55475359  0.49752079  0.59242211  0.49752079  2.44904378
## [1423]  1.33905125  1.47192794  3.73704972  3.73704972  4.80094604  1.08726785
## [1429]  0.86179355  4.47952510  1.01304082  1.09871167  3.58384517  3.19619782
## [1435]  2.78715642  2.78715642  5.02814881  5.91534834  0.61646180  1.33255473
## [1441]  1.89219515  2.39034104  1.12542995  2.11359775  1.38112055  2.35613734
## [1447]  1.12542995  1.48978950  1.20455993  1.78553516  1.89219515  1.78493524
## [1453]  2.14905386  2.45619269  4.13198143  5.28851749  1.85563118  2.45619269
## [1459]  1.91353168  4.80502674  2.14564750  2.88173653  0.93591597  0.96413070
## [1465]  1.30154549  1.30154549  0.82668897  9.49450615  0.82668897  6.40828310
## [1471]  2.48347422  6.33491430  1.59536617  1.87597789  3.05135122 11.14511391
## [1477]  3.05135122 11.32244706  3.83031484  2.13604925  2.60089934  2.13604925
## [1483]  0.44737097  1.39983745  5.41538461  1.24639606  1.18218031  1.88603551
## [1489]  3.14190032  1.56033716  6.33040750  3.14190032  3.83580838  0.65417896
## [1495]  4.32214109  1.16421677  0.65417896  3.17803330  4.97076185  3.17803330
## [1501]  1.59737793  3.07843639  0.73097432  2.25335619  1.65017352  2.13254359
## [1507]  3.11990275  1.65017352  3.36564979  4.38164678  3.93217768  1.27743174
## [1513]  2.74703225  1.22729964  3.87658310  3.85009049  4.06342633  1.22280036
## [1519]  0.50845882  1.52448272  1.22280036  3.13056935  4.06342633  1.05754112
## [1525]  3.24470933  1.90967955  2.04342567  0.59864271  2.56200447  1.06253580
## [1531]  1.93343124  2.11438116  0.77734449  3.24738970  2.30899120  1.16150074
## [1537]  1.80663745  2.95821817  3.89961437  1.94060053  2.56493537  3.32467276
## [1543]  3.97445947  2.56074528  1.10742760  1.28368513  0.64048319  3.82385899
## [1549]  2.82708418  1.93515542  1.57131968  1.67681943  2.49262657  2.04096914
## [1555]  4.38837357  0.57973628  4.14335038  4.38837357  1.53710897  0.40153922
## [1561]  0.40153922  0.40153922  1.07451852  1.07451852  1.07451852  1.48192836
## [1567]  6.50937721  1.07451852  2.09225153  2.40884692  5.19581809  2.63012869
## [1573]  1.51151903  5.41872927  5.40704053  1.83742477  1.89782547  4.19684129
## [1579]  1.97133978  2.04471495  2.89861448  2.04471495  4.48021820  2.70525944
## [1585]  3.50897261  1.94760961  2.48545109  2.25454283  6.48262067  2.82582052
## [1591]  2.41977591  4.88925317  1.66455125  1.62040087  1.49138011  2.35629772
## [1597]  1.66455125  2.08034892  4.38149443
# Perform k-means clustering
k <- 3  # Assuming you want to cluster into 3 groups
cluster <- kmeans(d, centers = k)

# Plot clusters
plot(x, col = cluster$cluster, main = "Cluster Plot")

# Add cluster centers
points(cluster$centers, col = 1:k, pch = 8, cex = 2)

QQ plot:

This function generates a QQ plot of the distribution of the variable alcohol against the theoretical normal distribution. In a QQ plot, if the points fall approximately along a straight line, it suggests that the data is approximately normally distributed.

QQline: adds a line through the first and third quartiles of the data.

Inference:

Alcohol attribute seems to be normally distributed at middle of Q-Q Quantile line and deviating at the edges of Sample and Theorotical Quantiles

qqnorm(df$alcohol, main = "alcohol")
qqline(df$alcohol)

Inference:

fixed acidity shows high deviation at the edges of Sample and Theorotical Quantiles comparatively indicating a varying nature in the attribute

qqnorm(df$`fixed acidity`, main = "fixed acidity")
qqline(df$`fixed acidity`)

Inference:

pH seems to be evenly distibuted indiacinting a bad parameter to use for future analysis. As we cannot differnetiate if wine is good or bad based on pH values

qqnorm(df$pH, main = "pH")
qqline(df$pH)

plot to assess the distribution of distances resulting from a clustering operation

sort(d): Sorts the distances in ascending order.

qchisq((1:nrow(x) - 1/2) / nrow(x), df = 3): Generates quantiles from a chi-squared distribution with 3 degrees of freedom.

As the distance of data points increase as per the sorted order, it indicates decreasing normality

plot(qchisq((1:nrow(x) - 1/2) / nrow(x), df = 3), sort(d),
     xlab = expression(paste(chi[3]^2, " Quantile")),
     ylab = "Ordered distances")
abline(a = 0, b = 1)

df$quality <- as.factor(df$quality)
df_new <- df[, 1:11] #selecting first 11 columns
df_new
## # A tibble: 1,599 × 11
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 6 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>

Calculation of Mahalanobis disctance for each distance MARGIN = 1 specifies that the function should be applied to each row

function(x): takes a row vector x as input and calculates the Mahalanobis distance for that row.

t(x - cm) %% solve(S) %% (x - cm): calculates the squared Mahalanobis distance for the row x

x - cm: This subtracts the column means (cm) from the row vector x solve(S): This computes the inverse of the covariance matrix S

df_cm <- colMeans(df_new)
df_S <- cov(df_new)
df_d <- apply(df_new, MARGIN = 1, function(df_new)t(df_new - df_cm) %*% solve(df_S) %*% (df_new - df_cm))
df_cm #means of all the column
##        fixed acidity     volatile acidity          citric acid 
##           8.31963727           0.52782051           0.27097561 
##       residual sugar            chlorides  free sulfur dioxide 
##           2.53880550           0.08746654          15.87492183 
## total sulfur dioxide              density                   pH 
##          46.46779237           0.99674668           3.31111320 
##            sulphates              alcohol 
##           0.65814884          10.42298311
df_S # covarience against each other
##                      fixed acidity volatile acidity   citric acid
## fixed acidity          3.031416389  -0.079851416835  0.2278200037
## volatile acidity      -0.079851417   0.032062377652 -0.0192716208
## citric acid            0.227820004  -0.019271620776  0.0379474831
## residual sugar         0.281756262   0.000484190976  0.0394342700
## chlorides              0.007678692   0.000516586920  0.0018687248
## free sulfur dioxide   -2.800921493  -0.019673590385 -0.1242521139
## total sulfur dioxide  -6.482345858   0.450425692372  0.2276972740
## density                0.002195224   0.000007443665  0.0001341746
## pH                    -0.183585704   0.006494699304 -0.0162975823
## sulphates              0.054010092  -0.007921433844  0.0103277145
## alcohol               -0.114421153  -0.038600221431  0.0228151729
##                      residual sugar      chlorides free sulfur dioxide
## fixed acidity          0.2817562623  0.00767869249       -2.8009214927
## volatile acidity       0.0004841910  0.00051658692       -0.0196735904
## citric acid            0.0394342700  0.00186872478       -0.1242521139
## residual sugar         1.9878971330  0.00369017590        2.7586114522
## chlorides              0.0036901759  0.00221514265        0.0027383031
## free sulfur dioxide    2.7586114522  0.00273830308      109.4148838331
## total sulfur dioxide   9.4164414790  0.07338675025      229.7375209475
## density                0.0009454109  0.00001782176       -0.0004332504
## pH                    -0.0186442890 -0.00192574496        0.1136530908
## sulphates              0.0013209414  0.00296187795        0.0915924710
## alcohol                0.0632189598 -0.01109151777       -0.7736984004
##                      total sulfur dioxide         density             pH
## fixed acidity                -6.482345858  0.002195223576 -0.18358570360
## volatile acidity              0.450425692  0.000007443665  0.00649469930
## citric acid                   0.227697274  0.000134174581 -0.01629758234
## residual sugar                9.416441479  0.000945410862 -0.01864428898
## chlorides                     0.073386750  0.000017821757 -0.00192574496
## free sulfur dioxide         229.737520947 -0.000433250416  0.11365309083
## total sulfur dioxide       1082.102372533  0.004424727145 -0.33769879250
## density                       0.004424727  0.000003562029 -0.00009956395
## pH                           -0.337698793 -0.000099563948  0.02383518055
## sulphates                     0.239471005  0.000047509618 -0.00514618582
## alcohol                      -7.209297895 -0.000997951790  0.03383161664
##                           sulphates       alcohol
## fixed acidity         0.05401009157 -0.1144211534
## volatile acidity     -0.00792143384 -0.0386002214
## citric acid           0.01032771452  0.0228151729
## residual sugar        0.00132094136  0.0632189598
## chlorides             0.00296187795 -0.0110915178
## free sulfur dioxide   0.09159247097 -0.7736984004
## total sulfur dioxide  0.23947100464 -7.2092978950
## density               0.00004750962 -0.0009979518
## pH                   -0.00514618582  0.0338316166
## sulphates             0.02873261613  0.0169067772
## alcohol               0.01690677723  1.1356473950
df_d #mahanlobis distance obtained
##    [1]   4.920027   8.335593   3.647326   7.439998   4.920027   5.051613
##    [7]   4.154062   6.280961   3.930883  12.973615   4.276886  12.973615
##   [13]   8.159632  44.766955  20.060139  19.797004   9.091949  43.248906
##   [19]   8.793605  34.245925  13.325602   6.976487   6.972829   8.057862
##   [25]   4.019224   6.627345   4.699302   6.972829   3.511154   4.130431
##   [31]   3.701115   4.678032  11.411715  42.735827  12.726209  11.589660
##   [37]   4.805375   3.707565  26.689837  13.405664  13.405664   2.652565
##   [43]  36.013859  19.803121   5.279714  26.600536  19.394203   6.466224
##   [49]   8.630697  17.091340   7.073834   5.800559   6.436202   7.749945
##   [55]   6.743370   5.117256  11.732185  15.436803   1.522250   6.381721
##   [61]   7.364595  13.034591   1.826630   2.418405   8.851193   8.851193
##   [67]   2.839662   5.205228   5.477813   9.552324   2.631209   6.304982
##   [73]   5.879607   2.899907   6.313075  15.410934  15.410934   4.848264
##   [79]   5.134748  19.882636   7.875328  69.972312   8.669783  48.197270
##   [85]  10.862690   1.386868  91.662510   3.054152  18.994297   5.521029
##   [91]  11.374174  91.662510  94.850656   3.054152  28.754749  27.891506
##   [97]   4.653863   7.415801   6.975461   2.689589   1.969879   1.941679
##  [103]   2.689589   3.643194   4.970581   3.643194  70.750899   9.755047
##  [109]   7.823618  20.959016   6.708068  14.290683  13.149582   5.346942
##  [115]   6.708068   5.557272   2.002914   3.179724  10.140829   4.811377
##  [121]  18.897742  10.140829   6.550495   4.686116  10.055811  12.767985
##  [127]  28.671033  28.583424   8.494575   7.110155  18.612302  18.378206
##  [133]  18.378206   4.356204  12.874290   6.840085   4.657808   7.164892
##  [139]   9.190875   8.681792   6.840085   4.657808  21.898140   8.112881
##  [145]  21.898140  17.356111   9.340947  19.407117   2.018725   7.514434
##  [151]   8.767746 155.546421   9.718788   9.718788  12.884164  12.872877
##  [157]  12.884164  12.872877   4.556973   9.948619  10.501667  20.971848
##  [163]   3.405232  17.509906  16.989577  10.992022   6.444330   6.860250
##  [169]   3.040196  57.357244   9.197074   4.655417   4.655417   6.472516
##  [175]   5.460506   4.886199   5.460506   9.251791   5.082773   3.646279
##  [181]   3.646279  21.700762   3.205738   6.902345   7.138660   8.578443
##  [187]   8.889035   2.959663  18.273319  17.618293   9.119993   8.965678
##  [193]  12.981559   2.589320   2.589320   7.942365   2.782360  10.276858
##  [199]  23.879863  15.386930   4.767929  18.367729   4.932907   6.305575
##  [205]   6.419886  11.111126  11.111126   8.351116   5.108093  10.926016
##  [211]  13.233222   3.308834  10.940222   4.550328   4.833248  15.265653
##  [217]   6.595323   6.301627   3.861572  12.962639   5.098954   5.192780
##  [223]   6.331448   3.647383   3.531300   2.568314  53.602057   5.018884
##  [229]   2.568314   6.493461  15.353558   8.420229   4.192963   6.493461
##  [235]  12.999580   4.015091   4.015091   3.368635   4.015091  12.999580
##  [241]  21.936116   6.124572  13.073953  43.186942  43.186942  14.666662
##  [247]   2.353224   6.068651   4.076844  14.666662   4.959878   4.197355
##  [253]   5.589073  13.901212   4.197355  10.482013   5.089693   5.360756
##  [259] 134.546439   6.770112   4.559680  10.178379   5.141549   4.324929
##  [265]  10.667899  17.868485  14.762427  17.646695  18.310442  17.485417
##  [271]   5.277759  17.485417   5.693168   3.094392  14.290062   5.277759
##  [277]  18.310442  17.485417  15.563216   8.837489  14.231637  44.114247
##  [283]   4.338673   8.837489  12.703942  12.703942   8.541270   4.859529
##  [289]   5.923636  12.178045   5.923636  63.517238   5.752755   5.232773
##  [295]  11.340046   9.340742  10.113672  11.412538  15.360818  11.268265
##  [301]   3.172784  10.583813   7.275719  11.088512  15.216735   8.640993
##  [307]   5.390703  13.703354  13.169599   7.838407   8.640993   8.911043
##  [313]   6.167938  10.525111   3.883568   3.708515   9.423222   7.738353
##  [319]   7.507990   7.738353   7.507990   6.223870   4.370161   8.559963
##  [325]  47.639964  47.639964   9.408438   6.934051  15.213809   5.227148
##  [331]  13.967973  13.967973   6.943571   9.858420   7.560182  13.731962
##  [337]   6.024718   5.051349  18.640221  29.113820  22.286947   5.784144
##  [343]   9.562695   9.562695   9.881441  15.149021  12.280488  16.838109
##  [349]   5.677600  10.443481  11.162022   9.754813   6.179556  32.509979
##  [355]  29.672837  12.474536  10.225598   6.771902   6.723533   8.867990
##  [361]   4.745428   4.354240   9.885132  10.835550  15.221493   5.926847
##  [367]  15.221493  12.565099   9.171524  12.487487  11.003146  14.875483
##  [373]  10.603210   9.662062  13.866781  13.622147  13.631982  12.487487
##  [379]  26.929117   5.800538   7.127566  11.054531   7.127566   7.127566
##  [385]   4.402662   3.990146   4.508273   1.729694   4.690830   2.703677
##  [391]  22.509328  11.054531   6.360153  16.867925  11.708200  26.829429
##  [397]  41.656067   6.724541   6.724541   8.394025  41.656067   6.079496
##  [403]   7.869859   5.033708   5.123809   5.768175   3.160080   6.879059
##  [409]  10.294485  22.663817   5.120354   4.426230   4.437217  13.446272
##  [415]   7.357214  24.820200   7.935281  10.657719   7.859731  11.901255
##  [421]   9.280072  13.852993  11.111234   6.647124  11.111234  13.852993
##  [427]   3.680045   8.766660   3.195401  18.546335   6.647124   4.974192
##  [433]  13.939990  10.397004   7.014309  10.397004  11.934461   9.685295
##  [439]   7.014309  12.418311  12.180293   8.710341  28.418984   3.684540
##  [445]  11.285683   6.668591   9.937904   3.798134   2.666583   8.322098
##  [451]   8.322098  52.579090   3.880796  11.955883   7.751545  22.255194
##  [457]   5.208874   4.455552  11.955883  13.483985   5.901772   3.870816
##  [463]   7.276874  28.149072   8.274249  14.245700   8.802393  13.544736
##  [469]   9.695007  18.234639   9.101908   4.734403   9.557232   5.604789
##  [475]   8.208444   8.239281   4.677328   9.519887   8.239281   6.157245
##  [481] 110.262324   7.561378  10.372171  10.754696  20.701860   6.491046
##  [487]   6.491046   7.034234  14.380913   2.821336   5.599733   8.853597
##  [493]  11.048469  22.618208  24.993133   3.963836   4.651439  13.447201
##  [499]   3.963836  22.618208   4.651439  22.226282  22.226282   8.808702
##  [505]  10.385774  10.565586   9.234859  10.090655   8.590131  12.610891
##  [511]  23.623586   8.590131   4.233940  10.629532  10.629532  27.801540
##  [517]  15.357348  12.700369   7.283234  11.530814  11.350598  11.285742
##  [523]  16.864850  12.523855   7.833912   7.681419  11.530814  10.677923
##  [529]  13.801450   5.535649  15.546635   7.894996   7.894996  15.461077
##  [535]   8.386108  15.546635   5.535649   7.877354  21.927314  13.384218
##  [541]   2.024346  12.562800   6.078282  13.287724  20.235134  11.597548
##  [547]   5.966517   5.332746   9.494580   8.306060   4.935417   2.888068
##  [553]   4.073094  34.473043  28.851750  28.851750  22.335863  29.130642
##  [559]  22.335863  33.312882  10.538656   8.867177  13.466724   7.658619
##  [565]  33.312882  10.538656  14.193050  14.193050  18.297522   6.994749
##  [571]  10.257754   6.994749   4.591244   6.267839   4.325665  13.304693
##  [577]   6.601389   8.882896   8.576467   5.885657  10.446887  10.446887
##  [583]   9.269771   9.810193  26.891111   4.120363   7.159775   6.767614
##  [589]  18.040647   7.132700   5.499106  28.327992   5.499106   9.377321
##  [595]   3.456157  18.277832   8.735346  10.433427   3.613963   9.756151
##  [601]  10.609212  12.281014   6.393786  12.281014   5.935057   3.724775
##  [607]   6.673666   5.526735  22.358397  14.727901  11.236321  10.962476
##  [613]   3.569389   4.581328  44.027224  14.126020  14.126020   9.065482
##  [619]   8.331089   7.371490   8.579558   7.662706   4.547680  10.319313
##  [625]  16.183660  16.183660   5.428707   5.428707   2.280515   3.974002
##  [631]   2.280515   6.928410   3.627401  26.525481  12.307757  13.713045
##  [637]  18.002057  17.288323   7.233324  24.831749   6.851821   8.975394
##  [643]   6.851821   8.975394   6.851821  11.883815   4.259341   7.021414
##  [649]   1.091952  40.125152  14.297275  39.862879  73.611240  19.095733
##  [655]  14.321382  13.063336  14.297275  13.450695   8.444632   8.635937
##  [661]   8.444632   6.380303   4.497542   8.807664   8.635304   7.558835
##  [667]  15.585407   9.461573   8.742363   9.461573   8.172810   6.478808
##  [673]  37.192911   6.478808   5.182176   3.412355   5.182176   4.124989
##  [679]  14.330239  11.409738  13.430135   4.346300   6.376852   7.049247
##  [685]  23.777396   7.049247   4.159682   5.886207   6.255291  11.835684
##  [691]  26.709848  16.115410  52.421001  10.144023   9.893119  24.899069
##  [697]   4.405072   4.405072   6.844765   5.605351  20.620128   4.405072
##  [703]   4.538459   6.834097   5.877495  16.179737   4.290022   2.191603
##  [709]   4.074750   4.350638  20.144563  12.000251   7.552151   5.201072
##  [715]   5.870543   4.554262   5.201072   6.313646   7.965535   4.720424
##  [721]   7.965535  10.132713   7.398499  69.334726  19.669599   2.926000
##  [727]  15.590036   6.887504   6.887504  13.795403  51.939373  16.467469
##  [733]   4.789867   8.799426   5.712138   9.694288   9.694288  13.098429
##  [739]   9.067645   6.687146   9.025310  12.262290   6.004500  11.680212
##  [745]  10.975006   5.351662   6.826664   5.804612   4.916397   5.351662
##  [751]   2.744415   2.744415   3.025941   2.744415  55.929356  11.811350
##  [757]  10.712092   6.018306   6.018306   8.587790  10.586367   4.736538
##  [763]   5.202461   4.736538   3.991566   4.472538   5.394058  13.431561
##  [769]   9.233562   4.368379   9.233562  16.733672  17.653934   9.701634
##  [775]   9.137385  11.133951  18.615122  17.295998   3.258297   8.464698
##  [781]  12.165319  11.238344   9.108539  11.238344   8.228391   5.642657
##  [787]   5.642657   6.774510   6.774510  12.537156   5.530478  10.932056
##  [793]   7.114848   4.385505   8.907277  27.327103   4.529357   8.013251
##  [799]   5.215520   5.215520   7.706956   5.938699  20.270738   3.759100
##  [805]   2.488997   8.212975   7.670565   8.212975   8.648807   8.231166
##  [811]   4.970159   8.618589   4.874312   5.197728  10.106415   4.874312
##  [817]   4.894903  12.490257   4.865493   7.927125   3.455027  18.914190
##  [823]   5.904417   5.904417  10.496669   4.006049   5.646430   4.006049
##  [829]  12.597940   7.669173   3.846585   7.669173  16.228377  29.208155
##  [835]   5.919295   4.713926  25.810750  25.810750   5.235988   7.380510
##  [841]   6.597817   4.195649   9.505191  10.332031   8.363554   6.972547
##  [847]   6.972547   4.079273   6.972547   6.722938   5.193155   5.193155
##  [853]  15.416273  16.320424  16.320424   6.984951  16.320424   4.013691
##  [859]  10.805777   4.714418   7.721219  64.918581   7.266167   6.710408
##  [865]   7.721219   6.934873   4.494912   4.857461   4.714418   4.720066
##  [871]  12.351718  10.055575   5.693339   5.864602   6.070615   4.148158
##  [877]   5.248263  12.351718   5.303551   8.423991   5.830300   8.797458
##  [883]  14.294670   8.423991   5.303551   3.913268   4.998098  11.156902
##  [889]   5.978986  20.002272   5.841881   8.019418   6.202720   8.019418
##  [895]   8.418608   4.240190   4.988120   4.240190   4.988120  15.448482
##  [901]   5.592807   4.903942   4.903942  11.431730  11.431730  11.601731
##  [907]   4.893472   6.384027   5.442468   7.881748  14.972518  30.448190
##  [913]   5.483026   7.628412   7.881748   4.552082  16.362085  26.712716
##  [919]   4.311073  15.341541   2.806473   4.311073  15.341541  26.712716
##  [925]   4.980238  23.657043  25.945972   4.372993   4.980238   5.970708
##  [931]  10.419858   4.002959   5.630227   4.002959  10.419858   6.795540
##  [937]   6.795540   9.087393   7.881701   6.812156   7.830372  15.595957
##  [943]   1.905350   2.147279   6.317657   6.342510   9.835501   7.476788
##  [949]   8.616872   8.616872   8.616872   7.476788   3.783836   9.278689
##  [955]   6.874949   6.281856   5.603925   4.751554   4.902361   3.018287
##  [961]   6.063439   4.747043   5.275886   5.731900   6.063439   5.020407
##  [967]   9.566694   9.153544   8.834133   3.274976   8.365011   8.365011
##  [973]   4.126638  10.251363  10.815754   8.519601   8.519601   9.135841
##  [979]   6.923368  14.573164   2.201698   7.821123  25.508096   2.201698
##  [985]  14.573164   4.602743   7.660634  10.472565   9.548229   6.165284
##  [991]   9.548229   8.850785   8.305399   8.850785  10.483490   2.137529
##  [997]  13.259720  13.259720  21.053920  12.817516   3.734432   8.062510
## [1003]   5.377432   9.352772   4.692776   9.352772   5.377432   5.118976
## [1009]   4.830198   3.410139   8.707986   4.703969  11.724475   4.318942
## [1015]   6.232938   6.562456   4.942372  42.043752  42.043752   3.287452
## [1021]  12.931234  12.931234   4.374381   8.822726   4.031770   6.843650
## [1027]   7.554183   7.902706  10.018145   4.031770   5.263061   4.700558
## [1033]   7.663626   2.286899   3.677635   3.972810  10.790393   7.154505
## [1039]  14.176247   3.369223   9.988964   2.776431   3.369223  27.438466
## [1045]   8.429460  12.222280  10.914360   4.139890   2.733895   1.987666
## [1051]   4.139890  53.826513   9.156818   6.267952   8.852268   8.852268
## [1057]   9.091323   8.977048  10.233636   9.091323   8.785458   6.752119
## [1063]   4.456539   7.888279   7.796692   1.982821   6.272807  12.621655
## [1069]  12.621655   6.111257   7.773960  21.427847   6.924101   3.990897
## [1075]  21.427847  17.369324   6.747065  19.878454  19.878454 101.089151
## [1081]  10.244715 108.613590   6.348901   7.265461   6.348901  19.555261
## [1087]   7.872893   6.824327   9.318414   9.318414  20.416622   3.907595
## [1093]   3.003776   5.018200  11.274804   6.854745  11.274804   5.168131
## [1099]  19.018359   5.168131  10.975046   3.492852   3.702381   3.492852
## [1105]   5.840225  10.102601   8.926458   4.748594   5.918824   9.402094
## [1111]   6.797680  15.989585   7.150414   8.814705  30.318254   4.342757
## [1117]   4.342757   4.342757  13.644283   9.689570  13.041653   7.905775
## [1123]  11.465155   5.084681   8.873578   7.950224  16.018854   7.825977
## [1129]   4.726832   4.642709  11.210487  28.704822  11.050634  10.458070
## [1135]   4.366043   5.945824   4.330081   4.330081  11.991354   4.132735
## [1141]   6.130172   3.079421   6.781024  13.146287   6.850764  13.241204
## [1147]   9.795564  13.311477   3.548016   5.958810   7.601534   7.807763
## [1153]   3.857538   2.045075  20.075006   3.857538  14.741850  18.839398
## [1159]  17.731888   2.353418   4.199550   5.671243   6.378182   5.393826
## [1165]   5.393826  39.869113  14.977332   7.795900  12.472364   2.922136
## [1171]   3.311191   4.435286   5.320585   5.886313   5.886313  18.923050
## [1177]  14.506232  10.520486  20.397184   2.753799   2.753799   7.969111
## [1183]  17.346842   3.816227  14.356216   7.612062  24.775631   7.612062
## [1189]  14.356216  12.200143  10.176856  12.968230   8.750589  12.719748
## [1195]   4.795924   5.620778   3.883760   8.185645   9.700441   3.883760
## [1201]   8.185645   5.426538   3.383861  13.679311   7.391140   7.391140
## [1207]   7.391140  19.319344   7.391140  10.831850   3.568886   4.230792
## [1213]   3.568886   3.639395   6.862718   6.385954   5.032880  13.980736
## [1219]   1.982496   8.516264   8.573493   8.573493   5.495488   4.778418
## [1225]   8.290598  10.374209  18.669039   2.037357  24.189440   2.921354
## [1231]   7.388401  15.514670   2.921354  18.340166  13.308073  88.046696
## [1237]   6.114670  13.308073   4.843559   7.066570  16.951779   4.462562
## [1243]   5.663364   7.005681  88.030750   1.948751   8.674657   1.948751
## [1249]   3.855588   3.854634   3.854634   2.806337   5.214751  10.089405
## [1255]   3.338380   6.350956  22.563337   6.428218   5.260289   5.260289
## [1261]  53.543724  14.080716   6.688332   4.986624   5.963262   1.874085
## [1267]   1.874085   7.667112   5.630267  21.478027  21.731594   5.231948
## [1273]   6.209244  17.555781   4.897162   4.595104  15.307635   4.969591
## [1279]   4.595104   7.542328   2.767931   2.767931   4.994775   1.172129
## [1285]   2.226633   6.837525  10.271829  16.933974  29.026836  29.026836
## [1291]   5.154205   4.256651   7.600990   4.567027   4.256651  23.595001
## [1297]  23.595001   5.091754   7.973318  54.283687  12.566965   9.908922
## [1303]   4.729834   5.432349  10.423587   3.412653   5.261872   4.058581
## [1309]   5.261872   5.086574   3.412653   8.564025  23.528057   4.089649
## [1315]   4.399815   4.340005  38.598983   4.180030   4.340005  63.361803
## [1321]   6.302062  34.357871   7.875999   5.798218   2.474199   2.474199
## [1327]   2.474199   2.474199   3.999350   4.001273   4.001273  13.579877
## [1333]  11.959669   4.322490   9.473408   8.432457   6.899140   6.899140
## [1339]   6.899140   4.220861   4.220861   4.220861   4.119553   4.220861
## [1345]   6.595151   2.186578   4.641476   5.338101   5.338101   3.883063
## [1351]   6.584012   9.471055   5.457164   5.457164   3.537833   9.201577
## [1357]   8.958750   7.360021  21.917462   9.634371   2.563171   3.911709
## [1363]   9.634371   6.577959   6.819857   6.744233   4.344727  27.677993
## [1369]   6.027845   7.429198  57.642437  18.893239  57.642437   9.678288
## [1375]  27.470929   7.830536  13.679873  15.625637   3.933112   3.503903
## [1381]   3.503903   7.105700   5.491173   5.491173   6.958876  12.039234
## [1387]   2.967462   2.967462  13.838414  17.161213   9.451741   2.386711
## [1393]   9.213888   1.793944   6.291024   3.957826   3.942456   6.602987
## [1399]   2.495049   3.950359  11.050873  11.050873   8.964232  18.488464
## [1405]   7.937882   5.917028  13.868771  14.913228  15.219415  14.913228
## [1411]  12.541443  10.316052  13.868771  14.357669   8.964370   9.961468
## [1417]   8.964370   6.044411   9.993142  10.407810   9.993142   3.843204
## [1423]  13.303518   6.689971   6.350140   6.350140  17.682775   3.712998
## [1429]   7.081661  12.626892   1.418053   4.194961  11.053066   5.113558
## [1435] 103.981865 103.981865  11.574052  17.760918   5.036355   7.324487
## [1441]   6.174224  11.225929   5.207937   5.357921   7.473872  11.222294
## [1447]   5.207937   5.369846  11.783230   6.532206   6.174224   7.561420
## [1453]  11.412010   6.364998   8.001066   8.423221  13.118457   6.364998
## [1459]   4.640842   6.550960  13.934424   6.847841   2.183912   3.221454
## [1465]   7.108802   7.108802  10.882296  14.216691  10.882296  10.459053
## [1471]  18.602788   9.910586  11.590770   3.853403  82.498039  20.313600
## [1477]  82.498039  20.470162  13.342375  11.658084   8.803689  11.658084
## [1483]  18.317709   5.740438   8.831716   2.952996   3.937730   5.629620
## [1489]   9.688688   6.450446  10.543583   9.688688   6.450670  14.475586
## [1495]   7.044119   6.288124  14.475586   4.625728   7.159155   4.625728
## [1501]   6.405915  12.276318   1.578328   8.910358  12.573498   6.205606
## [1507]   5.489014  12.573498  26.279547   7.360687   8.067310   4.216524
## [1513]   5.448569   7.636692  11.996160  11.927128  11.074038   7.553584
## [1519]   7.057738   3.269965   7.553584   6.886501  11.074038   3.848948
## [1525]   5.144173   3.907484   4.390757   3.952071   5.563905  12.522028
## [1531]   3.819684   5.640142   7.382875   7.297618   2.899841   1.883498
## [1537]   5.701972   5.176219   6.075702   9.226779   8.117967   6.130813
## [1543]  11.964694   6.948615   6.244210   9.809232   2.953847   6.343615
## [1549]   5.016615   4.923703   5.274732   4.863939   7.394950   4.620242
## [1555]   6.527209   2.557964   7.081859   6.527209  46.573968   9.307936
## [1561]   9.307936   9.307936   3.787787   3.787787   3.787787   7.002732
## [1567]  16.799611   3.787787   4.772647   2.882490  21.265520   4.568784
## [1573]   9.103877   7.738962 106.341768   7.888124  10.384994   9.796654
## [1579]   4.156168   4.966215   3.972005   4.966215   7.002044   7.426114
## [1585]  12.562691   7.019266   8.113546   4.106200  16.271469  22.224284
## [1591]   8.964462   8.706915   7.226201   8.446444   6.118501  11.211489
## [1597]   7.226201   9.037668  12.270976

Let’s perform DBSCAN to detect outliers in data. We can observe data points in green traingle and circle as outliers red are normal data points.

library(fpc)
## Warning: package 'fpc' was built under R version 4.3.2
# Prepare the data (if not already prepared)
df_cm <- colMeans(df_new)
df_S <- cov(df_new)
df_d <- apply(df_new, MARGIN = 1, function(df_new) t(df_new - df_cm) %*% solve(df_S) %*% (df_new - df_cm))

# DBSCAN
dbscan_result <- dbscan(df_d, eps = 0.5, MinPts = 5)

# Summary of DBSCAN result
summary(dbscan_result)
##         Length Class  Mode   
## cluster 1599   -none- numeric
## eps        1   -none- numeric
## MinPts     1   -none- numeric
## isseed  1599   -none- logical
# Plot clusters
plot(dbscan_result, df_d)

Goal is to find t value and p-value

t-value is 19.292, indicating a large difference between the means of the two groups (Varialbes used: alcohol and compared with quality, target variable which is either good or bad)

p-values is very low indicating strong correlation of quality of wine with respect to alcohol level in wine.

hence we have seem to have map good relation based on t and p values

Confidence interval is 95 indicating difference present between interval 0.83 and 1.022

with(data=df,t.test(alcohol[quality=="good"],alcohol[quality=="bad"],var.equal=TRUE))
## 
##  Two Sample t-test
## 
## data:  alcohol[quality == "good"] and alcohol[quality == "bad"]
## t = 19.292, df = 1597, p-value < 0.00000000000000022
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  0.8341451 1.0229564
## sample estimates:
## mean of x mean of y 
## 10.855029  9.926478

Attributes used for Two sample t-test

t-value is -13.566, indicating a substantial difference between the means of the two groups.

p-value is extremely low (< 0.00000000000000022), suggesting strong evidence against the null hypothesis. This means there is a significant difference in the mean volatile acidity between the “good” and “bad” quality groups.

95% confidence interval for the difference in means is (-0.13203601, -0.09867697). This interval suggests that the mean volatile acidity for the “good” quality group is expected to be between 0.13203601 and 0.09867697 units lower than the mean volatile acidity

Overall, this output indicates a statistically significant difference in the mean volatile acidity between wines of “good” and “bad” quality, with “good” quality wines having, on average, lower volatile acidity compared to “bad” quality wines.

with(data=df,t.test(`volatile acidity`[quality=="good"],`volatile acidity`[quality=="bad"],var.equal=TRUE))
## 
##  Two Sample t-test
## 
## data:  `volatile acidity`[quality == "good"] and `volatile acidity`[quality == "bad"]
## t = -13.566, df = 1597, p-value < 0.00000000000000022
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.13203601 -0.09867697
## sample estimates:
## mean of x mean of y 
## 0.4741462 0.5895027

t-value is -4.4021, indicating a notable but not very high difference between the means of the two groups. Hence not as good as previous two variables

p-value is 0.00001143, which is less than the significance level (usually 0.05), indicating strong evidence against the null hypothesis. This means there is a significant difference in the mean chlorides content between the “good” and “bad” quality groups.

Overall, this output indicates a statistically significant difference in the mean chlorides content between wines of “good” and “bad” quality, with “good” quality wines having, on average, lower chlorides content compared to “bad” quality wines.

with(data=df,t.test(chlorides[quality=="good"],chlorides[quality=="bad"],var.equal=TRUE))
## 
##  Two Sample t-test
## 
## data:  chlorides[quality == "good"] and chlorides[quality == "bad"]
## t = -4.4021, df = 1597, p-value = 0.00001143
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.014930462 -0.005726395
## sample estimates:
##  mean of x  mean of y 
## 0.08266082 0.09298925

t-value is -0.13044, indicating a very small difference between the means of the two groups. Hence not good to understand the dependent variable using pH as independent variable as it reveals no information.

p-value is 0.8962, which is much greater than the significance level (usually 0.05), indicating weak evidence against the null hypothesis. This means there is no significant difference in the mean pH levels between the “good” and “bad” quality groups.

Comparing to the previous values, in this case, there is no significant difference in the mean pH levels between wines of “good” and “bad” quality. The t-value is close to zero, the p-value is high, and the confidence interval includes zero, indicating that any observed difference in mean pH levels between the two groups is likely due to random chance.

with(data=df,t.test(pH[quality=="good"],pH[quality=="bad"],var.equal=TRUE))
## 
##  Two Sample t-test
## 
## data:  pH[quality == "good"] and pH[quality == "bad"]
## t = -0.13044, df = 1597, p-value = 0.8962
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -0.01619705  0.01417715
## sample estimates:
## mean of x mean of y 
##  3.310643  3.311653

The F-statistic of approximately 2.1294, accompanied by a small p-value (< 0.00000000000000022) and a 95% confidence interval for the ratio of variances (1.852111 to 2.446455), suggests strong evidence against the null hypothesis that the variances of alcohol levels between the “good” and “bad” quality groups are equal. Therefore, we infer that there is a statistically significant difference in the variability of alcohol levels between these two quality groups in the dataset.

var.test(df$alcohol[df$quality=="good"],df$alcohol[df$quality=="bad"])
## 
##  F test to compare two variances
## 
## data:  df$alcohol[df$quality == "good"] and df$alcohol[df$quality == "bad"]
## F = 2.1294, num df = 854, denom df = 743, p-value < 0.00000000000000022
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.852111 2.446455
## sample estimates:
## ratio of variances 
##           2.129366
attach(df)
## The following objects are masked from df (pos = 5):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity

Scaling data again to improve score of f and p value

matstand <- scale(df[,1:11]) # Scaling data again to improve score of f and p value
matstand
##         fixed acidity volatile acidity  citric acid residual sugar    chlorides
##    [1,]   -0.52819437       0.96157585 -1.391037103   -0.453076665 -0.243630469
##    [2,]   -0.29845406       1.96682715 -1.391037103    0.043402567  0.223805180
##    [3,]   -0.29845406       1.29665962 -1.185699492   -0.169374247  0.096322731
##    [4,]    1.65433853      -1.38401051  1.483689439   -0.453076665 -0.264877544
##    [5,]   -0.52819437       0.96157585 -1.391037103   -0.453076665 -0.243630469
##    [6,]   -0.52819437       0.73818667 -1.391037103   -0.524002270 -0.264877544
##    [7,]   -0.24101899       0.40310291 -1.083030687   -0.665853479 -0.392359993
##    [8,]   -0.58562945       0.68233938 -1.391037103   -0.949555897 -0.477348293
##    [9,]   -0.29845406       0.29140832 -1.288368298   -0.382151061 -0.307371694
##   [10,]   -0.47075929      -0.15537004  0.457001388    2.525798726 -0.349865844
##   [11,]   -0.93023990       0.29140832 -0.980361882   -0.524002270  0.202558106
##   [12,]   -0.47075929      -0.15537004  0.457001388    2.525798726 -0.349865844
##   [13,]   -1.56202574       0.48687385 -1.391037103   -0.665853479  0.032581506
##   [14,]   -0.29845406       0.45895020  0.097660571   -0.665853479  0.563758380
##   [15,]    0.33333178       0.51479750 -0.467017857    0.894509821  1.881077028
##   [16,]    0.33333178       0.51479750 -0.415683455    0.965435426  1.753594578
##   [17,]    0.10359147      -1.38401051  1.483689439   -0.524002270  0.096322731
##   [18,]   -0.12614884       0.17971373  0.046326168   -0.594927874  5.960515421
##   [19,]   -0.52819437       0.34725561 -0.980361882    1.320063449 -0.031159719
##   [20,]   -0.24101899      -1.16062133  1.227017426   -0.524002270  5.386844397
##   [21,]    0.33333178      -1.71909428  1.073014219   -0.524002270 -0.222383394
##   [22,]   -0.41332422      -0.76969027  0.200329376   -0.169374247 -0.116148019
##   [23,]   -0.24101899      -0.54630110 -0.313014650   -0.665853479  0.393781780
##   [24,]    0.10359147      -0.21121733 -0.826358675   -0.169374247 -0.073653869
##   [25,]   -0.81536975      -0.71384298 -0.672355467   -0.098448642 -0.052406794
##   [26,]   -1.15998021      -0.76969027 -0.569686662   -0.807704688 -0.158642169
##   [27,]   -0.41332422      -0.65799569 -0.159011442   -0.524002270 -0.158642169
##   [28,]   -0.24101899      -0.54630110 -0.313014650   -0.665853479  0.393781780
##   [29,]   -0.70049960       1.01742314 -1.391037103   -0.453076665 -0.158642169
##   [30,]   -0.29845406       0.65441573 -1.391037103   -0.382151061 -0.116148019
##   [31,]   -0.93023990       0.82195761 -1.031696285   -0.098448642  0.032581506
##   [32,]   -0.81536975       0.87780491 -1.391037103   -0.027523038  0.372534705
##   [33,]   -0.01127868       0.71026303 -0.775024272   -0.169374247 -0.094900944
##   [34,]   -0.81536975       0.43102655 -0.775024272    5.788376536 -0.307371694
##   [35,]   -1.79176605      -1.16062133 -0.107677039   -0.524002270  0.330040555
##   [36,]   -0.29845406       0.65441573 -1.391037103    2.100245099 -0.031159719
##   [37,]   -0.29845406       0.40310291 -0.672355467   -0.098448642 -0.031159719
##   [38,]   -0.12614884      -0.82553757  0.046326168   -0.311225456 -0.456101218
##   [39,]   -1.50459067       3.36300951 -0.929027480   -0.736779083  1.796088728
##   [40,]   -0.58562945      -0.43460651  0.457001388    2.383947517 -0.286124619
##   [41,]   -0.58562945      -0.43460651  0.457001388    2.383947517 -0.286124619
##   [42,]    0.27589670       0.45895020  0.148994973    0.185253776  0.011334431
##   [43,]   -0.47075929      -0.21121733 -0.364349052    0.043402567  5.195620722
##   [44,]   -0.12614884       0.73818667 -0.261680247   -0.240299852 -0.392359993
##   [45,]   -0.87280483       0.79403397 -1.288368298   -0.524002270 -0.796054418
##   [46,]   -2.13637651      -0.04367545 -0.621021065   -0.311225456 -0.711066118
##   [47,]   -0.35588914       2.27398727  0.816342206   -0.240299852  0.563758380
##   [48,]    0.21846162      -1.32816322  1.278351829   -0.665853479  0.542511305
##   [49,]   -1.10254513      -0.71384298 -0.210345844   -0.665853479 -0.456101218
##   [50,]   -1.56202574      -1.21646863  0.508335791   -0.807704688 -0.286124619
##   [51,]    0.27589670       0.73818667 -0.056342637   -0.594927874 -0.286124619
##   [52,]   -0.98767498      -0.04367545 -1.185699492   -0.240299852 -0.392359993
##   [53,]   -0.98767498      -0.15537004 -1.185699492   -0.311225456 -0.413607068
##   [54,]    0.16102655      -0.82553757  0.457001388    0.327104985 -0.137395094
##   [55,]   -0.41332422      -0.09952274 -0.621021065    0.185253776  0.478770080
##   [56,]   -0.35588914       0.51479750 -1.185699492    0.894509821 -0.073653869
##   [57,]    1.07998777      -0.60214839  1.535023841    0.610807403 -0.371112918
##   [58,]   -0.47075929       0.57064479 -0.775024272    1.816542681  0.500017155
##   [59,]   -0.29845406       0.34725561 -0.467017857   -0.169374247 -0.243630469
##   [60,]   -0.58562945      -0.76969027  0.200329376   -0.098448642 -0.286124619
##   [61,]    0.27589670      -0.71384298  0.662338998   -0.240299852 -0.179889244
##   [62,]   -0.35588914       0.90572856  1.124348621   -0.524002270  0.585005455
##   [63,]   -0.47075929      -0.04367545 -0.569686662   -0.453076665 -0.052406794
##   [64,]   -0.75793468       1.15704138 -1.134365090   -0.382151061 -0.137395094
##   [65,]   -0.64306452       1.10119409 -1.134365090    1.497377460 -0.031159719
##   [66,]   -0.64306452       1.10119409 -1.134365090    1.497377460 -0.031159719
##   [67,]   -0.47075929      -0.04367545 -0.826358675   -0.736779083 -0.179889244
##   [68,]   -0.98767498       0.98949950 -1.031696285   -0.665853479 -0.243630469
##   [69,]    0.56307208      -1.16062133  1.535023841   -0.382151061 -0.286124619
##   [70,]   -0.18358391       0.98949950 -1.134365090   -0.453076665 -0.286124619
##   [71,]   -0.35588914       0.57064479 -0.980361882   -0.453076665 -0.243630469
##   [72,]   -0.35588914       0.79403397 -0.210345844   -0.311225456  0.011334431
##   [73,]   -0.35588914       0.90572856 -0.261680247   -0.453076665 -0.073653869
##   [74,]   -0.01127868       0.82195761 -0.056342637   -0.311225456 -0.073653869
##   [75,]    0.79281239      -1.16062133  1.381020634   -0.027523038  0.138816881
##   [76,]    0.27589670      -0.65799569  1.894364659   -0.240299852  0.117569806
##   [77,]    0.27589670      -0.65799569  1.894364659   -0.240299852  0.117569806
##   [78,]   -0.87280483       1.43627785 -1.391037103   -0.098448642  0.351287630
##   [79,]   -0.93023990       1.24081232 -0.775024272   -0.382151061 -0.031159719
##   [80,]   -0.01127868       0.54272114 -0.364349052   -0.736779083 -0.158642169
##   [81,]   -1.21741529      -0.43460651 -0.364349052   -0.665853479 -0.392359993
##   [82,]   -0.29845406      -0.54630110  2.202371074   -0.453076665  8.000234617
##   [83,]   -0.52819437      -0.15537004  1.021679816   -0.382151061 -0.031159719
##   [84,]   -0.58562945       0.79403397 -0.056342637   -0.524002270  6.661668895
##   [85,]   -1.15998021      -1.27231592  1.073014219   -0.524002270 -0.392359993
##   [86,]   -0.81536975       0.12386643 -0.621021065   -0.240299852 -0.243630469
##   [87,]    0.16102655      -0.21121733  0.046326168   -0.453076665  0.478770080
##   [88,]   -0.35588914      -0.21121733 -0.056342637   -0.453076665 -0.541089518
##   [89,]    0.56307208      -0.76969027  0.867676609   -0.311225456  0.415028855
##   [90,]   -0.75793468       0.51479750 -0.980361882   -0.524002270 -0.243630469
##   [91,]   -0.24101899      -0.04367545 -0.056342637   -0.453076665 -0.179889244
##   [92,]    0.16102655      -0.21121733  0.046326168   -0.453076665  0.478770080
##   [93,]    0.16102655      -0.21121733  0.097660571   -0.382151061  0.478770080
##   [94,]   -0.35588914      -0.21121733 -0.056342637   -0.453076665 -0.541089518
##   [95,]   -1.90663620       2.74868927 -1.185699492   -0.807704688 -0.902289793
##   [96,]   -2.07894143       0.40310291 -0.518352260   -0.169374247 -0.626077818
##   [97,]   -0.87280483       1.38043056 -1.391037103    0.327104985  0.308793480
##   [98,]   -0.75793468      -0.15537004 -0.107677039   -0.382151061 -0.371112918
##   [99,]   -0.41332422       2.07852174 -1.083030687   -0.027523038 -0.179889244
##  [100,]   -0.12614884       0.09594279 -0.467017857   -0.453076665 -0.158642169
##  [101,]   -0.01127868       0.45895020  0.148994973   -0.311225456 -0.073653869
##  [102,]   -0.29845406      -0.15537004  0.148994973   -0.453076665 -0.264877544
##  [103,]   -0.12614884       0.09594279 -0.467017857   -0.453076665 -0.158642169
##  [104,]   -0.12614884       0.26348467 -0.261680247   -0.311225456 -0.222383394
##  [105,]   -0.64306452      -0.21121733 -0.159011442   -0.240299852 -0.371112918
##  [106,]   -0.12614884       0.26348467 -0.261680247   -0.311225456 -0.222383394
##  [107,]   -0.29845406      -0.65799569  2.099702269   -0.594927874  8.063975842
##  [108,]   -1.21741529       0.57064479  0.200329376   -0.594927874  0.011334431
##  [109,]   -0.18358391      -1.10477404  1.329686231   -0.027523038  0.075075656
##  [110,]   -0.12614884       1.43627785  1.278351829   -0.382151061  0.733734980
##  [111,]   -0.29845406       0.17971373 -0.415683455   -0.524002270  0.351287630
##  [112,]    0.04615639       0.51479750 -0.929027480   -0.240299852 -0.073653869
##  [113,]    0.04615639       0.40310291 -0.877693077   -0.240299852 -0.052406794
##  [114,]    1.02255269      -1.21646863  0.867676609   -0.169374247 -0.158642169
##  [115,]   -0.29845406       0.17971373 -0.415683455   -0.524002270  0.351287630
##  [116,]    0.62050716      -0.71384298  0.200329376   -0.240299852  0.053828581
##  [117,]   -0.01127868       0.06801914  0.046326168   -0.453076665 -0.222383394
##  [118,]   -0.29845406       0.17971373 -0.775024272   -0.382151061 -0.116148019
##  [119,]    0.27589670       0.12386643 -1.185699492   -0.240299852  0.669993755
##  [120,]   -0.75793468       0.90572856 -0.980361882   -0.524002270  0.202558106
##  [121,]   -0.58562945       3.02792574 -0.929027480   -0.594927874  1.923571178
##  [122,]    0.27589670       0.12386643 -1.185699492   -0.240299852  0.669993755
##  [123,]   -0.58562945       0.93365220 -1.391037103   -0.027523038 -0.264877544
##  [124,]   -0.18358391       1.01742314 -1.391037103    0.043402567 -0.158642169
##  [125,]   -0.29845406      -0.15537004 -0.518352260   -0.665853479 -0.116148019
##  [126,]    0.39076685       0.51479750 -1.185699492   -0.453076665  1.243664779
##  [127,]   -0.06871376       4.47995539 -1.391037103   -0.594927874 -0.137395094
##  [128,]   -0.12614884       4.47995539 -1.391037103   -0.524002270 -0.116148019
##  [129,]   -0.18358391       0.34725561 -0.569686662   -0.524002270 -0.477348293
##  [130,]   -1.27485036      -0.82553757 -0.621021065   -0.524002270 -0.328618769
##  [131,]   -0.18358391       1.21288867  1.483689439   -0.382151061  0.648746680
##  [132,]   -1.56202574      -0.15537004 -0.929027480   -0.169374247 -0.817301493
##  [133,]   -1.56202574      -0.15537004 -0.929027480   -0.169374247 -0.817301493
##  [134,]   -0.98767498      -0.15537004 -1.339702700   -0.736779083 -0.583583668
##  [135,]   -0.24101899       2.86038386 -1.134365090   -0.240299852 -0.073653869
##  [136,]    0.04615639       1.21288867 -0.826358675   -0.453076665  0.053828581
##  [137,]   -0.01127868       1.04534679 -0.621021065   -0.524002270  0.032581506
##  [138,]   -0.64306452      -0.63007204  0.457001388   -0.382151061 -0.137395094
##  [139,]   -0.29845406       0.17971373 -0.415683455   -0.311225456 -0.137395094
##  [140,]   -0.29845406       0.17971373 -0.415683455   -0.382151061 -0.137395094
##  [141,]    0.04615639       1.21288867 -0.826358675   -0.453076665  0.053828581
##  [142,]   -0.01127868       1.04534679 -0.621021065   -0.524002270  0.032581506
##  [143,]   -1.79176605      -1.04892675 -1.391037103   -0.524002270 -0.796054418
##  [144,]   -1.15998021      -0.76969027 -0.980361882   -0.594927874 -0.456101218
##  [145,]   -1.79176605      -1.04892675 -1.391037103   -0.524002270 -0.796054418
##  [146,]   -0.12614884       0.79403397  1.432355036   -0.524002270  0.627499605
##  [147,]   -1.44715559       0.84988126 -1.288368298   -0.524002270 -0.009912644
##  [148,]   -0.41332422      -0.21121733 -0.056342637   -0.665853479  3.155901525
##  [149,]   -0.81536975      -0.21121733 -0.877693077   -0.169374247 -0.286124619
##  [150,]   -0.06871376      -0.71384298  0.867676609    0.185253776  0.032581506
##  [151,]   -0.58562945      -1.10477404  1.021679816   -0.311225456 -0.222383394
##  [152,]    0.50563700      -0.04367545  3.742403150    0.610807403 11.102307562
##  [153,]   -0.47075929       0.40310291 -1.237033895   -0.524002270  0.160063956
##  [154,]   -0.47075929       0.40310291 -1.237033895   -0.524002270  0.160063956
##  [155,]   -0.70049960      -0.54630110  0.765007803    2.100245099 -0.371112918
##  [156,]   -0.70049960      -0.54630110  0.765007803    2.100245099 -0.349865844
##  [157,]   -0.70049960      -0.54630110  0.765007803    2.100245099 -0.371112918
##  [158,]   -0.70049960      -0.54630110  0.765007803    2.100245099 -0.349865844
##  [159,]   -0.70049960       0.84988126 -1.391037103   -0.240299852 -0.307371694
##  [160,]   -0.87280483       0.40310291 -0.467017857   -0.453076665 -0.179889244
##  [161,]   -0.41332422       2.35775821 -1.237033895   -0.382151061  0.053828581
##  [162,]   -0.41332422       0.84988126 -1.288368298   -0.878630293 -0.328618769
##  [163,]   -0.29845406       0.01217185 -1.185699492   -0.594927874 -0.243630469
##  [164,]   -0.52819437       0.40310291 -0.056342637    3.376905981 -0.371112918
##  [165,]   -0.58562945       0.34725561 -0.056342637    3.305980376 -0.371112918
##  [166,]   -0.29845406       0.57064479  1.073014219   -0.594927874  0.266299330
##  [167,]   -0.87280483       0.62649208 -0.877693077   -0.311225456 -0.052406794
##  [168,]   -0.58562945       0.12386643 -1.237033895   -0.665853479 -0.328618769
##  [169,]   -0.87280483       0.57064479 -1.031696285   -0.311225456  0.032581506
##  [170,]   -0.47075929       0.98949950 -0.159011442   -0.524002270  5.790538821
##  [171,]   -0.24101899       1.99475079 -1.237033895   -0.524002270 -0.626077818
##  [172,]   -0.18358391      -0.60214839 -0.518352260   -0.382151061 -0.307371694
##  [173,]   -0.18358391      -0.60214839 -0.518352260   -0.382151061 -0.307371694
##  [174,]   -0.52819437       0.51479750 -1.134365090   -0.453076665 -0.413607068
##  [175,]   -0.58562945      -0.82553757 -0.313014650   -0.382151061 -0.158642169
##  [176,]   -0.81536975      -0.15537004 -1.185699492   -0.736779083 -0.052406794
##  [177,]   -0.58562945      -0.82553757 -0.313014650   -0.382151061 -0.158642169
##  [178,]   -0.47075929      -0.04367545  0.765007803   -0.169374247 -0.009912644
##  [179,]   -0.75793468       1.54797244 -1.391037103   -0.027523038 -0.413607068
##  [180,]    0.27589670       0.45895020 -0.672355467   -0.098448642 -0.434854143
##  [181,]    0.27589670       0.45895020 -0.672355467   -0.098448642 -0.434854143
##  [182,]    0.33333178       0.45895020  1.124348621   -0.382151061  3.878302074
##  [183,]   -0.64306452       1.12911773 -1.288368298   -0.027523038 -0.243630469
##  [184,]   -0.87280483       0.45895020 -0.364349052   -0.524002270 -0.222383394
##  [185,]   -0.93023990       0.51479750 -0.313014650   -0.453076665 -0.179889244
##  [186,]    0.33333178      -1.21646863  1.535023841   -0.382151061  0.500017155
##  [187,]   -0.52819437      -0.76969027  1.073014219   -0.382151061 -0.116148019
##  [188,]   -0.35588914       0.98949950 -0.877693077    0.043402567 -0.073653869
##  [189,]   -0.24101899      -0.15537004  0.302998181   -0.382151061 -0.073653869
##  [190,]   -0.24101899      -0.21121733  0.251663778   -0.453076665 -0.116148019
##  [191,]   -0.06871376      -0.15537004  0.405666986    0.256179380 -0.222383394
##  [192,]   -1.10254513      -0.88138486 -0.107677039   -0.453076665 -0.286124619
##  [193,]   -0.87280483       0.57064479 -0.775024272    0.894509821  0.245052255
##  [194,]   -0.41332422       0.12386643 -0.313014650   -0.240299852 -0.349865844
##  [195,]   -0.41332422       0.12386643 -0.313014650   -0.240299852 -0.349865844
##  [196,]   -0.29845406       0.34725561  0.302998181   -0.382151061 -0.286124619
##  [197,]   -0.58562945       0.29140832  0.148994973   -0.098448642 -0.286124619
##  [198,]    1.82664376      -1.27231592  1.689027049   -0.382151061 -0.434854143
##  [199,]   -1.67689590       1.71551432 -0.980361882   -0.949555897 -0.881042718
##  [200,]   -0.81536975       3.13962033 -1.083030687   -0.311225456 -0.562336593
##  [201,]    0.73537731      -1.16062133  1.021679816   -0.807704688 -0.668571968
##  [202,]    0.27589670      -0.88138486  1.073014219   -0.311225456  0.202558106
##  [203,]   -0.87280483      -0.15537004 -0.826358675   -0.736779083 -0.264877544
##  [204,]   -0.75793468      -0.60214839  0.405666986   -0.665853479  0.011334431
##  [205,]   -0.75793468      -0.54630110  0.457001388   -0.665853479  0.032581506
##  [206,]    2.57329975      -1.27231592  2.407708684    0.043402567  0.160063956
##  [207,]    2.57329975      -1.27231592  2.407708684    0.043402567  0.160063956
##  [208,]   -0.29845406       0.23556102  0.200329376   -0.524002270 -0.392359993
##  [209,]   -0.29845406      -0.49045380  0.046326168    0.114328171  0.266299330
##  [210,]    1.53946838      -1.27231592  1.586358244   -0.311225456 -0.711066118
##  [211,]    0.79281239       0.01217185  1.689027049   -0.382151061 -1.029772242
##  [212,]   -0.18358391       1.10119409 -0.159011442    0.185253776 -0.094900944
##  [213,]    1.88407884      -0.49045380  1.894364659   -0.311225456 -0.604830743
##  [214,]   -0.06871376       0.23556102 -0.056342637   -0.240299852 -0.583583668
##  [215,]   -0.29845406       1.15704138 -0.980361882   -0.098448642  0.096322731
##  [216,]   -0.75793468      -0.21121733  1.124348621    2.171170703 -0.583583668
##  [217,]    0.21846162       0.54272114 -0.569686662   -0.382151061  0.287546405
##  [218,]   -0.12614884       1.10119409 -0.261680247   -0.240299852 -0.328618769
##  [219,]   -0.47075929      -0.21121733 -0.415683455   -0.453076665 -0.243630469
##  [220,]   -0.29845406       0.01217185  0.302998181   -0.098448642 -0.158642169
##  [221,]   -0.29845406      -1.04892675  0.508335791   -0.382151061 -0.116148019
##  [222,]   -0.52819437       0.01217185 -0.056342637   -0.382151061  0.287546405
##  [223,]   -0.87280483       0.45895020 -1.185699492   -0.736779083 -0.647324893
##  [224,]    0.16102655       0.65441573 -0.107677039   -0.382151061 -0.094900944
##  [225,]    0.04615639       0.59856844  0.457001388   -0.382151061  0.032581506
##  [226,]   -0.35588914      -0.54630110 -0.107677039    0.043402567 -0.307371694
##  [227,]    0.33333178       0.34725561  1.175683024   -0.382151061  5.301856097
##  [228,]    0.39076685       1.63174338 -0.672355467    0.043402567  0.032581506
##  [229,]   -0.35588914      -0.54630110 -0.107677039    0.043402567 -0.307371694
##  [230,]   -0.81536975      -0.04367545 -0.107677039    0.043402567 -0.137395094
##  [231,]   -1.79176605      -0.26706463 -1.185699492   -0.665853479 -0.711066118
##  [232,]   -0.18358391      -0.82553757 -1.083030687   -0.524002270 -0.201136319
##  [233,]    0.10359147      -0.88138486 -0.364349052    0.185253776  0.053828581
##  [234,]   -0.81536975      -0.04367545 -0.107677039    0.043402567 -0.137395094
##  [235,]   -0.06871376       2.63699468 -0.929027480   -0.169374247 -0.477348293
##  [236,]   -0.64306452       0.57064479 -1.391037103   -0.453076665  0.202558106
##  [237,]   -0.64306452       0.57064479 -1.391037103   -0.453076665  0.202558106
##  [238,]   -0.64306452       0.65441573 -1.391037103   -0.453076665  0.202558106
##  [239,]   -0.64306452       0.57064479 -1.391037103   -0.453076665  0.202558106
##  [240,]   -0.06871376       2.63699468 -0.929027480   -0.169374247 -0.477348293
##  [241,]    0.33333178       0.59856844  0.508335791   -0.594927874  3.729572550
##  [242,]    2.11381914      -0.82553757  1.483689439   -0.311225456  0.117569806
##  [243,]   -0.35588914       0.29140832 -0.877693077   -0.524002270  0.308793480
##  [244,]    3.83687143      -1.77494157  0.867676609   -0.240299852 -0.264877544
##  [245,]    3.83687143      -1.77494157  0.867676609   -0.240299852 -0.264877544
##  [246,]   -0.58562945       0.73818667 -1.391037103   -0.382151061 -0.073653869
##  [247,]   -0.70049960       0.84988126 -1.031696285   -0.453076665 -0.264877544
##  [248,]   -0.06871376       0.40310291 -0.518352260   -0.169374247 -0.328618769
##  [249,]   -0.35588914       0.01217185 -1.083030687   -0.594927874 -0.286124619
##  [250,]   -0.58562945       0.73818667 -1.391037103   -0.382151061 -0.073653869
##  [251,]    1.42459823      -1.16062133  0.867676609   -0.665853479 -0.519842443
##  [252,]   -0.70049960       0.40310291 -1.391037103   -0.524002270 -0.286124619
##  [253,]    1.59690346      -0.99307945  1.073014219    0.398030589  0.053828581
##  [254,]   -0.35588914       1.38043056  0.765007803   -0.453076665  0.096322731
##  [255,]   -0.70049960       0.40310291 -1.391037103   -0.524002270 -0.286124619
##  [256,]   -0.18358391       0.23556102 -0.210345844    0.468956194 -0.307371694
##  [257,]    0.62050716      -1.04892675  0.508335791   -0.240299852 -0.264877544
##  [258,]   -0.98767498       0.93365220 -1.391037103   -0.311225456 -0.264877544
##  [259,]   -0.35588914      -0.65799569  2.510377489   -0.524002270 11.123554637
##  [260,]    0.96511762      -1.21646863  1.021679816    0.043402567 -0.052406794
##  [261,]   -0.24101899      -1.10477404 -0.210345844   -0.594927874 -0.222383394
##  [262,]   -0.75793468       2.49737644 -1.185699492   -0.382151061 -0.009912644
##  [263,]   -0.18358391      -0.04367545 -1.237033895   -0.594927874 -0.371112918
##  [264,]   -0.24101899      -0.88138486 -0.210345844   -0.524002270 -0.222383394
##  [265,]    2.40099452       0.17971373  1.124348621   -0.098448642 -0.498595368
##  [266,]    1.99894899      -1.49570510  1.278351829   -0.524002270 -0.349865844
##  [267,]   -0.12614884       1.91097985 -1.391037103    0.539881799  0.181311031
##  [268,]   -0.24101899      -0.99307945  0.970345414    0.752658612 -0.201136319
##  [269,]   -0.81536975       0.06801914 -1.185699492    0.327104985 -0.222383394
##  [270,]    1.82664376      -1.94248346  1.227017426    1.036361030  0.351287630
##  [271,]   -0.24101899       0.09594279 -1.083030687    1.036361030 -0.009912644
##  [272,]    1.82664376      -1.94248346  1.227017426    1.036361030  0.351287630
##  [273,]    1.48203330      -0.88138486  1.586358244    1.036361030 -0.349865844
##  [274,]    0.04615639       1.04534679 -0.364349052   -0.098448642 -0.243630469
##  [275,]   -0.47075929       0.68233938 -0.467017857    3.164129167  0.011334431
##  [276,]   -0.24101899       0.09594279 -1.083030687    1.036361030 -0.009912644
##  [277,]   -0.81536975       0.06801914 -1.185699492    0.327104985 -0.222383394
##  [278,]    1.82664376      -1.94248346  1.227017426    1.036361030  0.351287630
##  [279,]    1.13742284      -1.16062133  0.919011011    2.738575540 -0.307371694
##  [280,]    0.33333178      -0.71384298  0.251663778    2.171170703 -0.009912644
##  [281,]    1.76920868      -1.49570510  0.867676609    0.752658612 -0.349865844
##  [282,]   -0.35588914      -1.43985781  2.099702269    0.681733008  5.748044671
##  [283,]   -0.41332422      -0.04367545 -0.775024272    0.327104985 -0.434854143
##  [284,]    0.33333178      -0.71384298  0.251663778    2.171170703 -0.009912644
##  [285,]    0.90768254       0.34725561 -1.031696285    0.610807403  0.308793480
##  [286,]    0.90768254       0.34725561 -1.031696285    0.610807403  0.308793480
##  [287,]    2.11381914      -0.43460651  1.432355036   -0.382151061 -0.307371694
##  [288,]   -0.47075929      -0.71384298 -0.775024272    0.327104985  0.096322731
##  [289,]    0.21846162      -0.04367545 -0.929027480   -0.027523038  0.075075656
##  [290,]    1.88407884      -0.60214839  1.329686231    0.539881799  0.372534705
##  [291,]    0.21846162      -0.04367545 -0.929027480   -0.027523038  0.075075656
##  [292,]    1.53946838      -1.83078887  1.073014219   -0.382151061  5.429338547
##  [293,]    1.19485792       0.12386643 -0.210345844    0.114328171  0.075075656
##  [294,]   -0.81536975      -0.93723216 -0.107677039   -0.098448642  0.223805180
##  [295,]    2.86047514      -1.04892675  1.278351829    0.468956194  0.138816881
##  [296,]    1.42459823      -0.15537004  0.970345414   -0.027523038 -0.307371694
##  [297,]    1.30972807       1.68759068  0.508335791    0.043402567 -0.031159719
##  [298,]   -0.70049960       0.57064479 -1.083030687   -0.382151061 -0.094900944
##  [299,]   -0.64306452       0.68233938 -1.288368298   -0.169374247  0.138816881
##  [300,]   -0.81536975       0.79403397 -1.083030687   -0.311225456 -0.158642169
##  [301,]   -0.47075929       0.01217185 -1.083030687    0.043402567 -0.031159719
##  [302,]    1.59690346      -1.94248346  1.073014219   -0.736779083 -0.413607068
##  [303,]   -0.01127868       0.98949950 -0.775024272    0.043402567  0.096322731
##  [304,]   -0.52819437       0.79403397 -0.775024272   -0.665853479  2.093547777
##  [305,]    0.04615639       0.68233938  1.689027049   -0.311225456  0.521264230
##  [306,]    1.13742284       0.01217185  1.073014219   -0.027523038 -0.519842443
##  [307,]   -0.41332422       0.51479750  0.251663778   -0.240299852 -0.116148019
##  [308,]    1.13742284      -0.65799569  0.765007803   -0.098448642  2.667218801
##  [309,]    1.13742284      -0.54630110  0.867676609   -0.098448642  2.688465876
##  [310,]   -0.52819437      -1.32816322  0.559670193   -0.594927874 -0.541089518
##  [311,]    1.13742284       0.01217185  1.073014219   -0.027523038 -0.519842443
##  [312,]   -0.24101899       0.01217185 -0.159011442   -0.382151061 -0.328618769
##  [313,]    0.39076685      -0.37875921  0.200329376    0.185253776  0.117569806
##  [314,]    0.16102655      -0.32291192  0.148994973    0.327104985 -0.243630469
##  [315,]   -0.52819437      -0.93723216  0.097660571    0.043402567 -0.009912644
##  [316,]   -0.70049960      -0.99307945  0.097660571   -0.027523038  0.181311031
##  [317,]    0.73537731       0.17971373 -0.210345844    0.610807403  0.308793480
##  [318,]    0.73537731       1.35250691 -0.775024272    0.256179380 -0.116148019
##  [319,]    0.85024746       0.73818667  0.611004596    0.468956194 -0.094900944
##  [320,]    0.73537731       1.35250691 -0.775024272    0.256179380 -0.116148019
##  [321,]    0.85024746       0.73818667  0.611004596    0.468956194 -0.094900944
##  [322,]    0.56307208       0.45895020 -0.056342637    0.610807403  0.053828581
##  [323,]   -0.29845406       0.51479750 -1.134365090   -0.169374247 -0.179889244
##  [324,]    1.13742284       0.34725561  0.765007803    0.185253776  0.053828581
##  [325,]    0.96511762      -0.21121733 -0.364349052    6.001153349 -0.349865844
##  [326,]    0.96511762      -0.21121733 -0.364349052    6.001153349 -0.349865844
##  [327,]    1.88407884       0.01217185  1.997033464    0.788121414  0.712487905
##  [328,]    1.13742284      -0.49045380  1.175683024    1.390989053  0.415028855
##  [329,]    2.91791021      -1.43985781  1.791695854    0.043402567 -0.116148019
##  [330,]    1.36716315      -0.37875921  0.611004596   -0.382151061 -0.562336593
##  [331,]    1.07998777      -0.93723216  1.894364659    0.256179380  0.733734980
##  [332,]    1.07998777      -0.93723216  1.894364659    0.256179380  0.733734980
##  [333,]   -0.18358391       0.29140832  0.046326168    0.468956194 -0.456101218
##  [334,]    0.04615639       0.17971373 -0.980361882   -0.311225456  0.372534705
##  [335,]   -0.24101899       0.68233938 -1.339702700   -0.027523038 -0.201136319
##  [336,]    2.05638407       0.93365220  1.329686231    0.610807403  0.861217429
##  [337,]    0.33333178      -0.54630110  0.919011011   -0.453076665 -0.753560268
##  [338,]   -0.29845406      -0.54630110  0.251663778    0.185253776 -0.158642169
##  [339,]    2.34355945      -0.21121733  1.586358244    0.327104985  0.330040555
##  [340,]    2.40099452      -1.38401051  1.381020634   -0.169374247 -0.116148019
##  [341,]    2.22868930      -1.04892675  1.175683024   -0.098448642 -0.456101218
##  [342,]    1.30972807      -0.60214839  1.073014219    0.114328171 -0.477348293
##  [343,]    1.48203330      -0.76969027  1.021679816   -0.524002270  0.648746680
##  [344,]    1.48203330      -0.76969027  1.021679816   -0.524002270  0.648746680
##  [345,]    2.05638407       0.23556102  1.175683024    0.043402567 -0.116148019
##  [346,]   -0.75793468       0.87780491 -1.391037103   -0.453076665 -0.434854143
##  [347,]   -0.98767498       1.60381973 -1.288368298    0.114328171 -0.328618769
##  [348,]    3.14765052      -0.21121733  2.048367867    0.327104985  0.117569806
##  [349,]    0.73537731       0.17971373  0.200329376    0.185253776  0.032581506
##  [350,]    0.44820193       1.43627785 -1.391037103    0.043402567  0.117569806
##  [351,]    1.36716315       0.79403397 -0.261680247    0.114328171  0.415028855
##  [352,]    0.44820193       1.49212515 -1.391037103    0.043402567  0.181311031
##  [353,]   -0.35588914       0.76611032 -1.391037103   -0.098448642  0.053828581
##  [354,]    2.97534529       0.01217185  2.664380697    1.603765867  0.691240830
##  [355,]   -1.27485036      -1.77494157  0.662338998   -0.807704688 -0.456101218
##  [356,]   -0.93023990       1.24081232 -1.339702700   -0.098448642 -0.201136319
##  [357,]    1.82664376      -0.65799569  1.278351829    0.327104985 -0.158642169
##  [358,]    1.25229300      -0.60214839  1.997033464    0.291642183  0.606252530
##  [359,]    2.05638407      -0.54630110  1.997033464    0.398030589  0.457523005
##  [360,]    2.45842960      -0.82553757  1.997033464    0.043402567  0.011334431
##  [361,]   -0.06871376       0.96157585 -0.210345844   -0.382151061  0.245052255
##  [362,]    0.16102655      -0.43460651  0.200329376    0.043402567 -0.031159719
##  [363,]    2.05638407       0.29140832  1.997033464   -0.027523038 -0.328618769
##  [364,]    2.40099452      -0.37875921  1.843030257   -0.382151061 -0.349865844
##  [365,]    2.57329975       0.48687385  1.997033464    2.313021912 -0.094900944
##  [366,]    0.96511762      -0.60214839  1.175683024    0.610807403  0.415028855
##  [367,]    2.57329975       0.48687385  1.997033464    2.313021912 -0.094900944
##  [368,]    1.19485792       0.26348467  1.740361451    0.043402567 -0.243630469
##  [369,]    1.13742284      -1.04892675  1.278351829    0.185253776  1.519876753
##  [370,]    0.62050716      -1.43985781  1.329686231   -0.098448642 -0.286124619
##  [371,]   -0.81536975       1.32458326 -1.288368298   -0.169374247 -0.519842443
##  [372,]   -0.24101899      -1.60739969  0.662338998   -0.665853479 -0.668571968
##  [373,]    0.44820193      -1.38401051  1.073014219   -0.524002270 -0.434854143
##  [374,]   -0.52819437       0.12386643 -0.261680247   -0.240299852  0.393781780
##  [375,]    3.26252067      -0.65799569  1.843030257    0.894509821  0.032581506
##  [376,]    1.82664376       0.06801914  2.253705477    1.320063449  0.776229130
##  [377,]    1.82664376      -0.43460651  1.175683024    0.327104985 -0.201136319
##  [378,]    0.62050716      -1.43985781  1.329686231   -0.098448642 -0.286124619
##  [379,]    1.76920868       0.54272114  1.997033464    2.596724331  0.011334431
##  [380,]   -0.01127868      -0.60214839  0.559670193   -0.027523038  0.138816881
##  [381,]   -0.01127868      -1.49570510  0.765007803   -0.382151061 -0.158642169
##  [382,]    3.09021544      -0.63007204  2.099702269    0.256179380 -0.052406794
##  [383,]   -0.01127868      -1.49570510  0.765007803   -0.382151061 -0.158642169
##  [384,]   -0.01127868      -1.49570510  0.765007803   -0.382151061 -0.158642169
##  [385,]   -0.35588914      -0.09952274  0.046326168   -0.311225456 -0.009912644
##  [386,]   -0.52819437       0.57064479 -1.031696285   -0.098448642  0.053828581
##  [387,]   -0.29845406       0.06801914 -0.056342637   -0.382151061  0.011334431
##  [388,]   -0.01127868       0.73818667 -0.621021065   -0.453076665 -0.179889244
##  [389,]   -0.29845406      -0.37875921 -0.056342637   -0.453076665  0.011334431
##  [390,]    0.73537731      -0.82553757  0.200329376   -0.027523038  0.181311031
##  [391,]   -1.56202574       1.79928526 -1.134365090   -0.807704688 -0.902289793
##  [392,]    3.09021544      -0.63007204  2.099702269    0.256179380 -0.052406794
##  [393,]    0.67794223      -0.88138486  1.278351829   -0.382151061 -0.116148019
##  [394,]    0.04615639       0.76611032  1.740361451   -0.382151061  0.521264230
##  [395,]    2.51586468       0.40310291  1.945699062   -0.169374247 -0.519842443
##  [396,]    2.11381914      -0.88138486  2.510377489    1.178212240 -0.456101218
##  [397,]   -0.98767498       1.15704138 -1.288368298    3.802459608  0.733734980
##  [398,]    1.82664376       0.34725561  1.637692646    0.043402567 -0.009912644
##  [399,]    1.82664376       0.34725561  1.637692646    0.043402567 -0.009912644
##  [400,]    0.21846162       1.32458326 -0.261680247   -0.169374247 -0.498595368
##  [401,]   -0.98767498       1.15704138 -1.288368298    3.802459608  0.733734980
##  [402,]   -0.35588914      -1.49570510  0.148994973   -0.594927874 -0.604830743
##  [403,]    2.22868930      -0.26706463  1.381020634    0.043402567 -0.052406794
##  [404,]    1.76920868       0.40310291  1.124348621    0.114328171 -0.052406794
##  [405,]   -0.35588914       0.90572856 -1.134365090    0.114328171 -0.264877544
##  [406,]    0.21846162      -1.21646863  0.970345414   -0.807704688 -0.604830743
##  [407,]    0.85024746      -0.49045380  1.021679816   -0.027523038 -0.519842443
##  [408,]    2.11381914      -0.76969027  1.997033464    0.327104985  0.117569806
##  [409,]    1.19485792      -1.04892675  1.586358244    0.823584217  1.838582878
##  [410,]    2.40099452      -0.37875921  1.124348621    1.390989053 -0.371112918
##  [411,]    0.39076685      -0.54630110  0.354332583   -0.027523038 -0.158642169
##  [412,]    0.44820193      -0.43460651  0.405666986   -0.098448642 -0.158642169
##  [413,]   -0.70049960       1.15704138 -0.569686662   -0.453076665  0.266299330
##  [414,]    0.90768254      -0.71384298  1.329686231    2.951352353  0.202558106
##  [415,]    0.27589670      -0.04367545  0.354332583    0.114328171 -0.009912644
##  [416,]    0.16102655       1.10119409 -0.159011442    2.880426749  0.627499605
##  [417,]    1.30972807      -0.26706463  1.894364659   -0.240299852  0.500017155
##  [418,]   -0.75793468       0.29140832 -0.775024272   -0.453076665  0.075075656
##  [419,]    2.05638407      -0.82553757  1.227017426   -0.382151061  0.712487905
##  [420,]   -0.87280483       1.35250691 -1.391037103   -0.524002270 -0.456101218
##  [421,]    0.67794223       0.17971373  0.302998181   -0.098448642  0.032581506
##  [422,]   -0.98767498       1.74343797 -1.237033895   -0.169374247 -0.604830743
##  [423,]   -0.35588914       2.41360550 -0.364349052   -0.382151061 -0.859795643
##  [424,]    1.25229300      -1.60739969  1.021679816   -0.311225456 -0.456101218
##  [425,]   -0.35588914       2.41360550 -0.364349052   -0.382151061 -0.859795643
##  [426,]   -0.98767498       1.74343797 -1.237033895   -0.169374247 -0.604830743
##  [427,]   -1.10254513       0.79403397 -0.980361882   -0.311225456 -0.902289793
##  [428,]    0.67794223       1.40835420 -0.261680247   -0.453076665 -0.222383394
##  [429,]    0.44820193      -0.04367545  0.302998181   -0.878630293 -0.371112918
##  [430,]    2.57329975       1.74343797  1.843030257   -0.098448642  0.011334431
##  [431,]    1.25229300      -1.60739969  1.021679816   -0.311225456 -0.456101218
##  [432,]   -0.29845406       0.12386643  0.405666986   -0.240299852 -0.286124619
##  [433,]    2.05638407      -0.88138486  2.151036672   -0.169374247 -0.201136319
##  [434,]    2.28612437      -0.76969027  1.843030257   -0.169374247  0.075075656
##  [435,]    1.19485792      -0.65799569  1.432355036    0.468956194 -0.243630469
##  [436,]    2.28612437      -0.76969027  1.843030257   -0.169374247  0.075075656
##  [437,]   -0.18358391       0.79403397  0.148994973   -0.382151061 -0.583583668
##  [438,]    1.59690346      -0.43460651  2.356374282    0.468956194 -0.456101218
##  [439,]    1.19485792      -0.65799569  1.432355036    0.468956194 -0.243630469
##  [440,]   -0.75793468       0.51479750 -0.467017857   -0.736779083 -0.541089518
##  [441,]    2.45842960      -1.21646863  2.305039879   -0.240299852 -0.328618769
##  [442,]    2.05638407      -0.71384298  1.945699062   -0.275762654 -0.413607068
##  [443,]    4.18148189       0.87780491  2.510377489    0.823584217  0.266299330
##  [444,]    0.96511762      -0.49045380  1.124348621    0.114328171 -0.222383394
##  [445,]   -1.73433097       0.23556102 -1.339702700   -0.594927874 -0.711066118
##  [446,]    0.67794223       1.15704138 -0.877693077   -0.311225456 -0.179889244
##  [447,]    2.40099452      -0.82553757  1.689027049    0.043402567 -0.137395094
##  [448,]    0.56307208      -0.26706463  0.097660571   -0.311225456  0.839970354
##  [449,]    0.16102655       0.01217185 -0.261680247   -0.382151061  0.266299330
##  [450,]    2.05638407      -0.76969027  2.151036672    0.185253776  0.160063956
##  [451,]    2.05638407      -0.76969027  2.151036672    0.185253776  0.160063956
##  [452,]    0.04615639      -0.88138486  1.329686231   -0.524002270  6.916633794
##  [453,]   -0.87280483       0.17971373 -1.237033895   -0.594927874 -0.073653869
##  [454,]    1.19485792      -1.10477404  1.843030257    0.185253776 -0.073653869
##  [455,]   -0.75793468      -1.66324698  0.662338998   -0.665853479 -0.519842443
##  [456,]    1.71177361       0.51479750  2.048367867    1.887468285 -0.031159719
##  [457,]    0.33333178       0.34725561  0.611004596   -0.169374247  0.160063956
##  [458,]    0.50563700       0.57064479 -0.313014650    0.114328171  0.202558106
##  [459,]    1.19485792      -1.10477404  1.843030257    0.185253776 -0.073653869
##  [460,]    1.88407884       0.29140832  1.997033464   -0.240299852 -0.286124619
##  [461,]    0.50563700      -0.54630110  1.278351829   -0.169374247 -0.094900944
##  [462,]   -0.01127868       0.48687385 -0.261680247    0.043402567 -0.009912644
##  [463,]    1.53946838      -1.49570510  2.099702269    0.007939764 -0.052406794
##  [464,]   -0.12614884       0.73818667  2.202371074   -0.240299852  0.223805180
##  [465,]    1.82664376      -1.18854498  1.381020634   -0.311225456 -0.073653869
##  [466,]    0.96511762      -1.32816322  0.662338998    0.256179380  0.223805180
##  [467,]    1.13742284      -0.15537004  0.765007803   -0.382151061 -0.392359993
##  [468,]    0.27589670      -0.37875921  0.919011011    0.043402567 -0.477348293
##  [469,]    1.76920868      -0.93723216  2.151036672   -0.311225456  0.053828581
##  [470,]    0.21846162       1.63174338 -1.288368298   -0.949555897 -0.371112918
##  [471,]    2.68816991      -1.16062133  1.945699062    0.043402567  0.117569806
##  [472,]    0.73537731       0.06801914  0.765007803   -0.098448642 -0.137395094
##  [473,]    2.40099452      -0.88138486  1.432355036    0.043402567 -0.094900944
##  [474,]    0.90768254      -0.99307945  1.432355036   -0.311225456 -0.541089518
##  [475,]    1.25229300      -1.38401051  1.227017426   -0.594927874 -0.158642169
##  [476,]    0.73537731       0.84988126 -0.159011442   -0.240299852 -0.009912644
##  [477,]    0.56307208      -1.43985781  0.713673401   -0.382151061  0.075075656
##  [478,]    1.19485792      -1.60739969  1.124348621   -0.524002270 -0.264877544
##  [479,]    0.73537731       0.84988126 -0.159011442   -0.240299852 -0.009912644
##  [480,]    0.62050716       0.87780491 -0.826358675    0.114328171 -0.222383394
##  [481,]    1.30972807      -1.38401051  0.611004596    9.192805554 -0.392359993
##  [482,]    0.62050716      -1.27231592  1.483689439    0.185253776 -0.158642169
##  [483,]    1.30972807      -0.93723216  1.637692646   -0.240299852  1.371147229
##  [484,]    1.30972807      -0.93723216  1.689027049   -0.240299852  1.371147229
##  [485,]    1.30972807      -0.49045380  2.099702269    1.107286635  0.563758380
##  [486,]    1.07998777       0.79403397  0.611004596   -0.453076665 -0.711066118
##  [487,]    1.07998777       0.79403397  0.611004596   -0.453076665 -0.711066118
##  [488,]    1.07998777       0.65441573  0.457001388   -0.524002270 -0.732313193
##  [489,]    1.88407884      -1.16062133  1.432355036    0.185253776 -0.137395094
##  [490,]    0.56307208      -0.76969027  0.662338998    0.043402567 -0.307371694
##  [491,]    0.56307208       1.38043056 -0.005008234    0.185253776 -0.201136319
##  [492,]    0.50563700      -0.65799569  1.175683024   -0.027523038 -0.689819043
##  [493,]    0.33333178      -0.71384298  1.227017426    0.043402567 -0.753560268
##  [494,]    0.21846162       0.90572856  0.200329376    0.327104985 -0.031159719
##  [495,]   -1.04511006      -0.76969027 -0.210345844    4.086162026 -0.774807343
##  [496,]    1.36716315      -0.99307945  1.329686231    0.043402567 -0.371112918
##  [497,]   -0.29845406      -0.04367545 -0.107677039   -0.453076665 -0.137395094
##  [498,]   -0.64306452      -1.04892675  0.251663778   -0.027523038  0.053828581
##  [499,]    1.36716315      -0.99307945  1.329686231    0.043402567 -0.371112918
##  [500,]    0.21846162       0.90572856  0.200329376    0.327104985 -0.031159719
##  [501,]   -0.29845406      -0.04367545 -0.107677039   -0.453076665 -0.137395094
##  [502,]    1.19485792      -0.49045380  2.356374282    2.844963947 -0.286124619
##  [503,]    1.19485792      -0.49045380  2.356374282    2.844963947 -0.286124619
##  [504,]    1.25229300      -1.49570510  1.021679816   -0.453076665 -0.201136319
##  [505,]    1.25229300      -1.60739969  0.765007803   -0.524002270 -0.222383394
##  [506,]    1.07998777      -0.21121733  1.843030257    0.256179380 -0.328618769
##  [507,]    1.19485792      -1.60739969  0.970345414   -0.524002270 -0.264877544
##  [508,]    1.65433853       0.79403397  1.432355036   -0.169374247 -0.073653869
##  [509,]    0.96511762       0.34725561  0.200329376   -0.240299852  0.053828581
##  [510,]    2.86047514      -1.32816322  2.459043087    0.185253776 -0.073653869
##  [511,]    2.34355945      -0.60214839  1.124348621    1.461914658 -0.307371694
##  [512,]    0.96511762       0.34725561  0.200329376   -0.240299852  0.053828581
##  [513,]    1.36716315      -0.71384298  1.073014219   -0.311225456  0.797476205
##  [514,]    1.25229300      -0.09952274  1.894364659   -0.098448642  0.415028855
##  [515,]    1.25229300      -0.09952274  1.894364659   -0.098448642  0.415028855
##  [516,]    0.10359147       0.71026303  1.124348621    2.525798726  0.733734980
##  [517,]    2.40099452       0.40310291  1.124348621    1.249137844  0.266299330
##  [518,]    1.19485792       0.45895020  1.124348621   -0.311225456  2.391006827
##  [519,]    1.48203330      -1.77494157  1.124348621    0.185253776  0.011334431
##  [520,]   -0.58562945      -0.90930851  1.124348621   -0.027523038  0.011334431
##  [521,]    0.85024746      -1.55155239  1.124348621    0.114328171  0.011334431
##  [522,]   -0.41332422      -0.65799569  1.124348621   -0.382151061  0.011334431
##  [523,]   -0.06871376      -0.76969027  1.124348621   -0.169374247  0.245052255
##  [524,]    0.56307208      -0.71384298  1.124348621   -0.027523038 -0.052406794
##  [525,]    0.50563700      -0.54630110  1.124348621   -0.098448642 -0.031159719
##  [526,]    1.19485792       0.62649208 -0.159011442    0.185253776  0.372534705
##  [527,]   -0.58562945      -0.90930851  1.124348621   -0.027523038  0.011334431
##  [528,]   -0.75793468      -0.82553757  1.124348621   -0.027523038  0.202558106
##  [529,]   -0.06871376      -0.60214839  1.124348621    0.043402567 -0.073653869
##  [530,]    0.90768254       0.57064479 -0.159011442   -0.098448642 -0.222383394
##  [531,]    0.44820193      -1.71909428 -0.159011442   -0.311225456 -0.201136319
##  [532,]    2.05638407      -0.82553757  1.124348621    0.114328171  0.223805180
##  [533,]    2.05638407      -0.82553757  1.124348621    0.114328171  0.223805180
##  [534,]    1.13742284      -1.43985781 -0.159011442   -0.311225456 -0.328618769
##  [535,]    0.96511762      -0.26706463 -0.159011442    0.114328171  0.308793480
##  [536,]    0.44820193      -1.71909428 -0.159011442   -0.311225456 -0.201136319
##  [537,]    0.90768254       0.57064479 -0.159011442   -0.098448642 -0.222383394
##  [538,]   -0.12614884       1.65966703 -0.159011442   -0.311225456 -0.073653869
##  [539,]    2.63073483      -0.99307945  1.124348621    2.313021912 -0.456101218
##  [540,]    1.65433853      -0.15537004  2.407708684    1.852005483  0.266299330
##  [541,]    0.50563700       0.34725561 -0.159011442    0.539881799  0.287546405
##  [542,]    0.67794223      -0.37875921  1.124348621    2.667649935 -0.498595368
##  [543,]    0.56307208       1.04534679 -0.159011442   -0.311225456 -0.371112918
##  [544,]    1.65433853       0.73818667 -0.159011442   -0.027523038 -0.052406794
##  [545,]    3.43482590      -1.21646863  2.407708684   -0.524002270 -0.264877544
##  [546,]    0.44820193      -0.32291192  1.124348621    0.043402567  0.138816881
##  [547,]   -0.47075929       0.12386643 -0.159011442   -0.382151061 -0.201136319
##  [548,]    1.30972807      -1.21646863  1.124348621   -0.027523038 -0.434854143
##  [549,]    2.34355945      -0.99307945  1.124348621    0.043402567 -0.179889244
##  [550,]    0.39076685       0.01217185  1.124348621   -0.453076665  1.774841653
##  [551,]   -0.87280483      -0.09952274 -1.339702700   -0.311225456 -0.286124619
##  [552,]    0.62050716      -0.54630110 -0.159011442    0.185253776  0.096322731
##  [553,]    0.67794223      -0.37875921 -0.159011442    0.114328171  0.096322731
##  [554,]   -1.90663620       2.86038386 -0.159011442   -0.665853479 -0.796054418
##  [555,]    4.12404682       0.65441573  1.124348621    1.178212240  0.160063956
##  [556,]    4.12404682       0.65441573  1.124348621    1.178212240  0.160063956
##  [557,]    1.48203330       0.01217185  1.124348621    1.461914658  0.648746680
##  [558,]    4.18148189       0.65441573  1.124348621    1.178212240  0.160063956
##  [559,]    1.48203330       0.01217185  1.124348621    1.461914658  0.648746680
##  [560,]    2.68816991      -0.32291192  1.124348621    1.249137844 -0.052406794
##  [561,]    2.51586468       0.40310291  1.124348621    0.185253776 -0.264877544
##  [562,]    0.39076685      -0.49045380  1.124348621   -0.098448642 -0.201136319
##  [563,]    0.39076685       0.06801914  1.124348621    0.256179380  0.138816881
##  [564,]   -0.41332422      -1.32816322  1.124348621    0.114328171  0.096322731
##  [565,]    2.68816991      -0.32291192  1.124348621    1.249137844 -0.052406794
##  [566,]    2.51586468       0.40310291  1.124348621    0.185253776 -0.264877544
##  [567,]    0.21846162       0.96157585 -0.159011442   -0.027523038  2.943430776
##  [568,]    0.21846162       0.96157585 -0.159011442   -0.027523038  2.943430776
##  [569,]    0.85024746      -0.15537004  1.124348621    0.043402567  3.453360575
##  [570,]   -1.21741529      -0.93723216 -0.159011442   -0.240299852  0.160063956
##  [571,]    1.82664376      -0.99307945  1.124348621    0.539881799 -0.371112918
##  [572,]   -1.21741529      -0.93723216 -0.159011442   -0.240299852  0.160063956
##  [573,]    1.07998777      -1.60739969  1.124348621   -0.098448642 -0.264877544
##  [574,]    1.25229300       0.34725561  1.124348621   -0.311225456 -0.371112918
##  [575,]    1.30972807      -1.04892675  1.124348621    0.468956194 -0.201136319
##  [576,]    2.28612437      -1.43985781  1.124348621    0.398030589 -0.179889244
##  [577,]    0.90768254      -0.15537004 -0.159011442   -0.169374247  0.330040555
##  [578,]    0.27589670      -0.49045380  1.124348621    0.185253776 -0.094900944
##  [579,]    0.27589670      -0.32291192  1.124348621    0.256179380 -0.052406794
##  [580,]    1.30972807      -1.21646863  1.124348621   -0.240299852 -0.519842443
##  [581,]    2.28612437      -0.15537004  1.124348621   -0.240299852  0.032581506
##  [582,]    2.28612437      -0.15537004  1.124348621   -0.240299852  0.032581506
##  [583,]    1.94151391      -0.21121733  1.124348621   -0.240299852 -0.094900944
##  [584,]    2.11381914      -1.38401051  1.124348621   -0.453076665 -0.286124619
##  [585,]    1.99894899      -1.10477404  1.124348621    0.610807403  0.117569806
##  [586,]   -0.41332422      -0.09952274 -0.159011442   -0.098448642  0.075075656
##  [587,]    1.59690346      -1.21646863  1.124348621    0.114328171  0.138816881
##  [588,]   -0.58562945       1.12911773 -0.159011442   -0.453076665  0.436275930
##  [589,]   -1.90663620      -0.60214839 -0.159011442   -0.382151061 -0.583583668
##  [590,]    1.07998777      -1.32816322  1.124348621    0.043402567 -0.604830743
##  [591,]    0.39076685      -0.43460651  1.124348621    0.043402567 -0.073653869
##  [592,]   -0.98767498      -0.76969027  1.124348621   -0.594927874 -0.371112918
##  [593,]    0.39076685      -0.43460651  1.124348621    0.043402567 -0.073653869
##  [594,]    0.90768254      -0.21121733  1.586358244    0.681733008  0.138816881
##  [595,]   -0.24101899       1.07327044 -0.518352260    0.043402567  0.181311031
##  [596,]    0.33333178       0.37517926  0.713673401    3.802459608 -0.031159719
##  [597,]    2.34355945      -0.71384298  1.227017426   -0.382151061 -0.604830743
##  [598,]    2.05638407       0.29140832  1.586358244   -0.453076665 -0.349865844
##  [599,]    0.10359147       0.31933196 -0.467017857   -0.311225456 -0.201136319
##  [600,]    2.51586468       0.34725561  0.919011011   -0.169374247 -0.116148019
##  [601,]   -0.06871376       2.16229268 -0.005008234   -0.311225456  0.011334431
##  [602,]    2.80304006      -0.37875921  1.278351829   -0.240299852 -0.349865844
##  [603,]   -0.35588914       1.71551432 -1.391037103    0.043402567 -0.137395094
##  [604,]    2.80304006      -0.37875921  1.278351829   -0.240299852 -0.349865844
##  [605,]   -0.01127868       0.29140832 -0.723689870    0.256179380  0.181311031
##  [606,]   -0.01127868       0.40310291 -0.723689870    0.043402567 -0.052406794
##  [607,]    0.62050716      -0.65799569  1.073014219    1.461914658 -0.328618769
##  [608,]    0.27589670      -0.26706463  0.713673401    0.539881799  0.096322731
##  [609,]    1.02255269       0.68233938  0.508335791    1.816542681  0.478770080
##  [610,]   -1.15998021      -0.93723216 -0.415683455    0.468956194 -0.264877544
##  [611,]    0.27589670      -1.60739969  1.381020634   -0.027523038 -0.094900944
##  [612,]    2.80304006      -0.82553757  1.432355036    0.114328171 -0.137395094
##  [613,]   -0.47075929       0.62649208 -1.391037103   -0.098448642 -0.222383394
##  [614,]   -0.06871376      -0.76969027  0.559670193   -0.736779083 -0.626077818
##  [615,]    0.50563700       1.26873597 -0.467017857   -0.240299852  1.286158929
##  [616,]    0.73537731       0.40310291  1.175683024   -0.169374247 -0.179889244
##  [617,]    0.73537731       0.40310291  1.175683024   -0.169374247 -0.179889244
##  [618,]    1.82664376      -1.21646863  1.227017426   -0.240299852 -0.179889244
##  [619,]    1.76920868      -0.37875921  1.175683024    0.114328171  0.733734980
##  [620,]    1.71177361      -0.88138486  0.713673401   -0.169374247  0.011334431
##  [621,]   -0.01127868       0.06801914 -0.159011442    0.610807403 -0.243630469
##  [622,]   -0.06871376       0.17971373 -0.210345844    0.610807403 -0.201136319
##  [623,]    0.96511762       0.29140832 -0.261680247   -0.453076665 -0.158642169
##  [624,]   -0.24101899      -0.09952274 -0.107677039    0.256179380 -0.222383394
##  [625,]   -0.87280483       0.90572856 -1.391037103    2.171170703  0.776229130
##  [626,]   -0.87280483       0.90572856 -1.391037103    2.171170703  0.776229130
##  [627,]    0.27589670       0.40310291  0.097660571   -0.240299852  0.223805180
##  [628,]    0.27589670       0.40310291  0.097660571   -0.240299852  0.223805180
##  [629,]    0.21846162       0.06801914 -0.056342637   -0.027523038  0.202558106
##  [630,]   -0.41332422       0.87780491 -0.210345844   -0.169374247  0.500017155
##  [631,]    0.21846162       0.06801914 -0.056342637   -0.027523038  0.202558106
##  [632,]    1.19485792      -1.38401051  1.381020634    0.114328171  0.372534705
##  [633,]   -0.41332422      -0.65799569 -0.672355467    0.327104985 -0.009912644
##  [634,]    1.02255269       2.27398727 -0.261680247    0.610807403  0.372534705
##  [635,]   -0.24101899      -0.99307945 -0.313014650   -0.453076665 -0.307371694
##  [636,]    0.21846162       1.74343797 -1.391037103   -0.807704688 -0.477348293
##  [637,]    0.73537731       1.96682715  0.046326168   -0.098448642 -0.031159719
##  [638,]    0.67794223       1.99475079 -0.005008234   -0.169374247 -0.073653869
##  [639,]   -0.35588914       2.16229268 -0.775024272   -0.240299852  1.179923554
##  [640,]    0.33333178      -1.32816322  0.405666986   -0.453076665 -0.434854143
##  [641,]    0.90768254       0.06801914  0.919011011   -0.169374247 -0.349865844
##  [642,]    0.67794223       0.34725561  0.867676609   -0.169374247 -0.349865844
##  [643,]    0.90768254       0.06801914  0.919011011   -0.169374247 -0.349865844
##  [644,]    0.67794223       0.34725561  0.867676609   -0.169374247 -0.349865844
##  [645,]    0.90768254       0.06801914  0.919011011   -0.169374247 -0.349865844
##  [646,]   -0.29845406       0.62649208 -0.877693077    2.454873122  0.585005455
##  [647,]   -0.58562945       0.79403397 -1.134365090    0.752658612  0.415028855
##  [648,]   -0.01127868       1.77136162 -1.339702700   -0.240299852 -0.371112918
##  [649,]    0.21846162      -0.26706463  0.148994973    0.185253776 -0.456101218
##  [650,]   -0.93023990      -0.60214839 -0.005008234    4.298938840 -0.413607068
##  [651,]    1.36716315      -0.54630110  0.611004596   -0.240299852  0.393781780
##  [652,]    0.85024746       1.96682715 -0.107677039   -0.027523038  0.351287630
##  [653,]    4.35378712      -0.93723216  1.945699062    3.518757190  0.181311031
##  [654,]    0.62050716      -1.10477404  1.637692646    0.185253776 -0.179889244
##  [655,]    0.16102655      -0.32291192  1.021679816   -0.098448642 -0.286124619
##  [656,]    0.79281239       0.12386643 -0.518352260    0.256179380 -0.009912644
##  [657,]    1.36716315      -0.54630110  0.611004596   -0.240299852  0.393781780
##  [658,]    2.11381914      -0.15537004  1.637692646   -0.807704688 -0.307371694
##  [659,]   -0.64306452      -0.04367545 -1.031696285   -0.807704688 -0.286124619
##  [660,]   -0.70049960       1.74343797 -1.288368298    1.320063449  0.181311031
##  [661,]   -0.64306452      -0.04367545 -1.031696285   -0.807704688 -0.286124619
##  [662,]   -0.47075929      -0.60214839  0.200329376   -0.665853479 -0.158642169
##  [663,]   -0.64306452       0.23556102 -1.083030687   -0.665853479 -0.243630469
##  [664,]    1.02255269      -1.38401051  0.970345414   -0.524002270 -0.796054418
##  [665,]    2.17125422      -0.71384298  1.278351829   -0.382151061  0.096322731
##  [666,]    0.62050716       0.34725561 -0.672355467   -0.382151061 -0.073653869
##  [667,]   -0.01127868      -0.21121733  0.457001388   -0.524002270  2.858442476
##  [668,]    1.71177361      -1.04892675  0.919011011   -0.382151061 -0.116148019
##  [669,]    0.96511762       1.12911773  0.816342206   -0.169374247 -0.604830743
##  [670,]    1.71177361      -1.04892675  0.919011011   -0.382151061 -0.116148019
##  [671,]   -0.81536975      -0.71384298 -0.159011442   -0.027523038 -0.094900944
##  [672,]   -0.06871376       1.12911773 -0.313014650   -0.594927874 -0.286124619
##  [673,]    0.85024746       3.97732974  0.354332583   -0.382151061 -0.179889244
##  [674,]   -0.06871376       1.12911773 -0.313014650   -0.594927874 -0.286124619
##  [675,]    1.42459823      -0.71384298  0.713673401   -0.240299852 -0.073653869
##  [676,]    0.56307208      -0.65799569  0.611004596   -0.240299852 -0.498595368
##  [677,]    1.42459823      -0.71384298  0.713673401   -0.240299852 -0.073653869
##  [678,]    0.16102655       1.52004879 -0.826358675   -0.169374247 -0.073653869
##  [679,]   -0.01127868       1.40835420 -0.877693077    0.043402567 -0.137395094
##  [680,]    1.42459823      -1.49570510  0.919011011    0.539881799 -0.583583668
##  [681,]    2.86047514      -0.54630110  1.586358244   -0.453076665 -0.371112918
##  [682,]   -0.18358391      -0.43460651 -0.210345844   -0.240299852  0.138816881
##  [683,]    0.10359147      -0.37875921  0.200329376   -0.204837049 -0.201136319
##  [684,]   -0.12614884       1.40835420 -0.210345844    0.043402567 -0.604830743
##  [685,]    0.85024746       2.52530009  0.251663778   -0.169374247 -0.201136319
##  [686,]   -0.12614884       1.40835420 -0.210345844    0.043402567 -0.604830743
##  [687,]   -0.70049960       0.68233938 -0.467017857   -0.524002270 -0.371112918
##  [688,]    0.44820193       0.62649208 -0.210345844    0.398030589  0.160063956
##  [689,]   -0.35588914       0.73818667 -1.185699492   -0.665853479 -1.029772242
##  [690,]   -0.12614884      -0.82553757  1.073014219   -0.524002270  1.477382603
##  [691,]   -0.52819437       3.67016962 -1.391037103    1.213675042  0.202558106
##  [692,]    0.50563700       2.19021632 -0.159011442    0.043402567 -0.009912644
##  [693,]    0.16102655      -0.21121733  1.227017426   -0.382151061  7.107857469
##  [694,]    0.39076685      -0.26706463  0.251663778    0.185253776 -0.073653869
##  [695,]    0.39076685      -0.32291192  0.200329376    0.114328171 -0.073653869
##  [696,]   -1.84920113      -0.32291192 -1.288368298   -0.878630293 -1.136007617
##  [697,]   -0.75793468       0.68233938 -1.288368298   -0.311225456 -0.456101218
##  [698,]   -0.75793468       0.68233938 -1.288368298   -0.311225456 -0.456101218
##  [699,]    0.62050716       0.48687385  0.046326168    0.468956194 -0.009912644
##  [700,]    1.99894899      -0.82553757  1.432355036   -0.311225456 -0.349865844
##  [701,]    1.30972807       2.74868927  0.816342206    0.256179380 -0.243630469
##  [702,]   -0.75793468       0.68233938 -1.288368298   -0.311225456 -0.456101218
##  [703,]   -0.75793468       0.62649208 -1.288368298   -0.311225456 -0.434854143
##  [704,]   -0.47075929      -0.82553757  1.073014219    0.043402567 -0.307371694
##  [705,]    0.44820193       1.32458326 -1.185699492   -0.665853479 -0.201136319
##  [706,]    0.04615639       2.83246021 -0.621021065    2.454873122 -0.307371694
##  [707,]   -0.75793468       1.40835420 -0.980361882   -0.382151061  0.117569806
##  [708,]   -0.52819437      -0.21121733 -0.415683455    0.327104985 -0.222383394
##  [709,]   -0.29845406       0.09594279 -0.775024272   -0.027523038 -0.413607068
##  [710,]    0.79281239      -1.21646863  1.021679816   -0.665853479 -0.541089518
##  [711,]    1.30972807       2.77661292  0.816342206    0.185253776 -0.158642169
##  [712,]    0.33333178       0.20763738  0.354332583    0.327104985  0.117569806
##  [713,]    0.21846162       0.90572856 -1.391037103    0.468956194 -0.073653869
##  [714,]   -0.18358391      -0.54630110  0.457001388   -0.169374247 -0.264877544
##  [715,]    0.90768254       1.18496503  0.046326168    0.043402567 -0.201136319
##  [716,]   -0.64306452      -0.21121733 -0.467017857    0.114328171 -0.392359993
##  [717,]   -0.18358391      -0.54630110  0.457001388   -0.169374247 -0.264877544
##  [718,]   -0.41332422      -0.37875921 -0.826358675    0.043402567 -0.179889244
##  [719,]    0.04615639       0.17971373 -1.185699492   -0.382151061 -0.116148019
##  [720,]   -0.70049960       0.73818667 -1.391037103    0.965435426 -0.031159719
##  [721,]    0.04615639       0.17971373 -1.185699492   -0.382151061 -0.116148019
##  [722,]    0.33333178      -0.26706463 -0.159011442    0.220716578  0.138816881
##  [723,]   -0.41332422      -0.60214839 -0.980361882    0.114328171 -0.073653869
##  [724,]   -0.70049960      -1.21646863  0.148994973   -0.240299852 -0.732313193
##  [725,]   -0.47075929       3.27923856 -0.877693077    0.398030589 -0.031159719
##  [726,]    0.39076685       0.73818667 -0.518352260    0.327104985 -0.222383394
##  [727,]   -0.12614884       1.07327044 -0.929027480    0.185253776 -0.073653869
##  [728,]   -1.10254513       0.23556102 -1.288368298   -0.524002270 -0.434854143
##  [729,]   -1.10254513       0.23556102 -1.288368298   -0.524002270 -0.434854143
##  [730,]   -1.10254513       1.88305621 -1.237033895    0.468956194 -0.349865844
##  [731,]    0.67794223       0.12386643  1.997033464   -0.169374247  6.364209845
##  [732,]    0.33333178       1.93890350 -0.723689870    0.646270205  0.011334431
##  [733,]   -0.58562945       1.71551432 -1.237033895   -0.311225456  0.096322731
##  [734,]   -0.75793468      -0.43460651  0.354332583    0.114328171 -0.116148019
##  [735,]   -0.35588914       0.17971373 -0.364349052   -0.382151061 -0.264877544
##  [736,]   -0.35588914       2.44152915 -0.877693077   -0.311225456  0.521264230
##  [737,]   -0.35588914       2.44152915 -0.877693077   -0.311225456  0.521264230
##  [738,]   -0.06871376       0.34725561 -1.391037103   -0.027523038  0.117569806
##  [739,]    0.39076685      -0.37875921 -0.210345844    0.185253776  0.096322731
##  [740,]    0.39076685       0.90572856 -1.391037103   -0.098448642  0.011334431
##  [741,]   -0.01127868       1.29665962  0.097660571    1.178212240 -0.264877544
##  [742,]    0.50563700       0.01217185 -0.159011442    0.043402567 -0.201136319
##  [743,]   -1.04511006       0.48687385 -1.391037103   -0.453076665 -0.477348293
##  [744,]    1.88407884      -0.65799569  1.586358244    0.185253776  0.181311031
##  [745,]    1.59690346      -0.76969027  1.381020634    0.114328171  0.160063956
##  [746,]   -0.58562945      -0.09952274 -0.467017857   -0.311225456 -0.371112918
##  [747,]   -0.06871376      -1.04892675  0.559670193   -0.027523038 -0.158642169
##  [748,]    0.16102655      -1.10477404  0.662338998    0.043402567 -0.094900944
##  [749,]   -0.64306452      -0.15537004 -0.467017857   -0.311225456 -0.349865844
##  [750,]   -0.58562945      -0.09952274 -0.467017857   -0.311225456 -0.371112918
##  [751,]   -0.01127868       0.68233938 -0.877693077    0.256179380  0.032581506
##  [752,]   -0.01127868       0.68233938 -0.877693077    0.256179380  0.032581506
##  [753,]   -0.41332422       0.06801914 -0.723689870   -0.027523038  0.202558106
##  [754,]   -0.01127868       0.68233938 -0.877693077    0.256179380  0.032581506
##  [755,]   -0.29845406      -0.26706463  2.099702269   -0.594927874  6.959127944
##  [756,]   -0.29845406       2.13436903 -1.031696285   -0.453076665 -0.626077818
##  [757,]   -1.15998021       2.52530009 -1.339702700   -0.382151061 -0.647324893
##  [758,]   -0.12614884       1.91097985 -1.391037103   -0.240299852 -0.073653869
##  [759,]   -0.12614884       1.91097985 -1.391037103   -0.240299852 -0.073653869
##  [760,]    0.27589670      -0.60214839 -0.313014650   -0.027523038  0.096322731
##  [761,]    0.39076685       0.29140832 -0.107677039    0.185253776 -0.264877544
##  [762,]    0.56307208       0.71026303 -0.056342637   -0.382151061  0.181311031
##  [763,]    0.27589670       0.96157585 -1.391037103   -0.594927874 -0.392359993
##  [764,]    0.56307208       0.71026303 -0.056342637   -0.382151061  0.181311031
##  [765,]    0.44820193       0.84988126 -0.826358675    0.185253776  0.117569806
##  [766,]    0.50563700       0.79403397 -0.877693077    0.327104985  0.075075656
##  [767,]    0.27589670       0.34725561 -0.467017857    0.256179380  0.032581506
##  [768,]   -0.47075929       0.40310291  0.251663778    0.114328171  0.330040555
##  [769,]   -0.70049960       0.34725561 -1.288368298   -0.169374247 -0.116148019
##  [770,]   -0.24101899       1.07327044 -1.339702700   -0.453076665 -0.243630469
##  [771,]   -0.70049960       0.34725561 -1.288368298   -0.169374247 -0.116148019
##  [772,]    0.62050716       0.87780491 -0.056342637   -0.098448642 -0.116148019
##  [773,]    0.67794223       0.23556102 -0.005008234   -0.169374247 -0.116148019
##  [774,]   -0.24101899      -0.71384298  0.097660571   -0.524002270  1.477382603
##  [775,]   -0.24101899      -0.71384298  0.148994973   -0.524002270  1.477382603
##  [776,]   -0.64306452       2.63699468 -1.391037103    0.327104985  0.308793480
##  [777,]   -0.81536975       1.32458326 -0.467017857   -0.098448642  3.304631050
##  [778,]   -0.81536975       0.59856844 -0.518352260   -0.098448642  3.262136900
##  [779,]   -0.01127868      -0.54630110  0.148994973    0.610807403 -0.179889244
##  [780,]   -0.70049960      -0.04367545 -1.237033895    0.043402567 -0.243630469
##  [781,]   -0.75793468       0.23556102 -1.391037103   -0.382151061  2.178536077
##  [782,]   -1.04511006      -0.37875921 -0.672355467   -0.098448642  0.563758380
##  [783,]    0.39076685       1.63174338 -1.134365090   -0.098448642 -0.137395094
##  [784,]   -1.04511006      -0.37875921 -0.672355467   -0.098448642  0.563758380
##  [785,]   -0.70049960       0.34725561 -1.339702700   -0.027523038 -0.222383394
##  [786,]    0.90768254      -0.99307945  0.713673401   -0.169374247 -0.094900944
##  [787,]    0.90768254      -0.99307945  0.713673401   -0.169374247 -0.094900944
##  [788,]    0.96511762       0.17971373 -0.159011442   -0.240299852 -0.179889244
##  [789,]    0.96511762       0.17971373 -0.159011442   -0.240299852 -0.179889244
##  [790,]    0.16102655       0.57064479 -0.518352260    0.256179380  0.245052255
##  [791,]   -0.52819437      -0.88138486  0.816342206    0.043402567 -0.116148019
##  [792,]    0.27589670       0.62649208 -0.518352260    0.256179380 -0.073653869
##  [793,]   -0.70049960       0.45895020 -1.288368298   -0.027523038 -0.137395094
##  [794,]   -0.35588914       0.40310291 -1.391037103    0.043402567 -0.689819043
##  [795,]    1.02255269      -1.43985781  1.381020634   -0.169374247 -0.477348293
##  [796,]    1.42459823       2.02267444  0.148994973    0.043402567  0.946205729
##  [797,]    0.21846162      -0.37875921  0.200329376   -0.027523038  0.818723279
##  [798,]    0.56307208      -0.88138486  0.867676609   -0.665853479 -1.051019317
##  [799,]    0.62050716      -0.15537004  0.354332583    0.752658612 -0.116148019
##  [800,]    0.62050716      -0.15537004  0.354332583    0.752658612 -0.116148019
##  [801,]   -0.64306452       0.45895020 -0.980361882    1.036361030 -0.116148019
##  [802,]    0.16102655       0.12386643 -0.929027480    0.539881799 -0.413607068
##  [803,]   -1.84920113       0.31933196 -1.391037103   -0.594927874 -0.923536868
##  [804,]   -0.35588914       0.17971373 -0.980361882   -0.027523038  0.563758380
##  [805,]    0.04615639      -0.04367545 -0.261680247    0.114328171 -0.073653869
##  [806,]   -0.06871376      -1.38401051  0.662338998   -0.098448642 -0.753560268
##  [807,]    0.04615639      -1.55155239  0.611004596   -0.382151061 -0.987278092
##  [808,]   -0.06871376      -1.38401051  0.662338998   -0.098448642 -0.753560268
##  [809,]   -0.52819437       0.01217185 -0.775024272   -0.453076665  1.647359203
##  [810,]   -0.41332422      -0.26706463  0.200329376    0.185253776 -0.371112918
##  [811,]   -0.58562945      -0.21121733 -0.877693077    0.043402567 -0.413607068
##  [812,]    2.63073483      -0.15537004  1.432355036    0.185253776 -0.328618769
##  [813,]    1.42459823      -0.43460651  0.302998181   -0.027523038  0.245052255
##  [814,]   -0.81536975      -0.76969027 -0.159011442   -0.311225456  0.308793480
##  [815,]    2.45842960      -0.65799569  1.381020634    0.185253776  0.330040555
##  [816,]    1.42459823      -0.43460651  0.302998181   -0.027523038  0.245052255
##  [817,]    0.85024746      -0.09952274 -0.415683455    0.468956194 -0.137395094
##  [818,]    1.42459823      -1.32816322  0.765007803   -0.665853479 -0.073653869
##  [819,]   -0.70049960       1.04534679 -1.391037103   -0.133911445 -0.349865844
##  [820,]    0.44820193       0.73818667 -0.621021065    0.468956194  0.202558106
##  [821,]   -0.75793468       0.87780491 -1.391037103   -0.453076665  0.245052255
##  [822,]   -1.96407128      -0.60214839 -1.391037103   -0.311225456 -0.838548568
##  [823,]   -0.93023990       0.06801914 -0.723689870   -0.382151061 -0.243630469
##  [824,]   -0.93023990       0.06801914 -0.723689870   -0.382151061 -0.243630469
##  [825,]   -0.70049960      -0.26706463  0.046326168    0.185253776 -0.413607068
##  [826,]   -0.70049960      -0.37875921 -0.672355467    0.185253776 -0.243630469
##  [827,]   -0.47075929      -1.43985781  0.354332583   -0.169374247 -0.796054418
##  [828,]   -0.70049960      -0.37875921 -0.672355467    0.185253776 -0.243630469
##  [829,]   -0.29845406       0.23556102 -0.929027480   -0.169374247 -0.477348293
##  [830,]   -1.38972052       0.45895020 -0.980361882   -0.311225456 -0.349865844
##  [831,]   -0.47075929       0.87780491 -1.031696285   -0.027523038 -0.626077818
##  [832,]   -1.38972052       0.45895020 -0.980361882   -0.311225456 -0.349865844
##  [833,]    1.19485792      -0.49045380  0.765007803   -0.736779083  1.222417704
##  [834,]    1.88407884      -0.32291192  0.867676609   -0.665853479  1.264911854
##  [835,]    0.27589670       0.87780491 -0.056342637   -0.665853479  0.011334431
##  [836,]   -0.41332422       0.76611032 -0.877693077   -0.736779083 -0.456101218
##  [837,]   -0.93023990      -1.38401051  0.046326168   -0.098448642 -1.603443266
##  [838,]   -0.93023990      -1.38401051  0.046326168   -0.098448642 -1.603443266
##  [839,]    1.02255269      -1.21646863  0.405666986   -0.665853479 -0.264877544
##  [840,]   -1.33228544      -0.15537004 -1.185699492   -0.240299852  0.096322731
##  [841,]    1.59690346      -0.60214839  1.021679816    0.078865369 -0.052406794
##  [842,]   -0.98767498       0.73818667 -1.391037103    0.327104985  0.585005455
##  [843,]    1.30972807      -0.15537004  0.919011011    0.043402567  0.669993755
##  [844,]   -0.70049960       0.87780491  0.405666986   -0.382151061  0.011334431
##  [845,]    0.90768254      -1.55155239  0.970345414   -0.594927874 -0.541089518
##  [846,]   -1.10254513       0.62649208 -0.313014650   -0.524002270 -0.137395094
##  [847,]   -1.10254513       0.62649208 -0.313014650   -0.524002270 -0.137395094
##  [848,]   -0.52819437       0.84988126 -0.569686662   -0.524002270 -0.201136319
##  [849,]   -1.10254513       0.62649208 -0.313014650   -0.524002270 -0.137395094
##  [850,]   -1.10254513       0.57064479 -0.313014650   -0.665853479 -0.158642169
##  [851,]    0.56307208      -0.54630110  0.867676609   -0.453076665 -0.052406794
##  [852,]    0.56307208      -0.54630110  0.867676609   -0.453076665 -0.052406794
##  [853,]   -0.18358391      -0.60214839  0.251663778   -0.027523038 -0.158642169
##  [854,]    0.56307208      -0.93723216  0.611004596   -0.736779083 -0.158642169
##  [855,]    0.56307208      -0.93723216  0.611004596   -0.736779083 -0.158642169
##  [856,]   -0.41332422       1.15704138 -1.288368298   -0.027523038 -0.349865844
##  [857,]    0.56307208      -0.93723216  0.611004596   -0.736779083 -0.158642169
##  [858,]   -0.06871376      -1.49570510  0.354332583   -0.027523038 -0.307371694
##  [859,]    1.94151391      -1.38401051  1.021679816   -0.594927874 -0.711066118
##  [860,]   -0.87280483       0.17971373 -0.261680247   -0.524002270 -0.286124619
##  [861,]   -0.64306452       0.51479750 -1.083030687    0.114328171 -0.222383394
##  [862,]   -1.44715559       2.69284197  1.997033464   -0.382151061 -1.029772242
##  [863,]   -0.47075929      -0.60214839  0.251663778    0.114328171 -0.434854143
##  [864,]   -0.64306452       0.51479750 -1.083030687   -0.027523038 -0.201136319
##  [865,]   -0.64306452       0.51479750 -1.083030687    0.114328171 -0.222383394
##  [866,]   -0.64306452       0.59856844 -1.031696285    0.043402567 -0.222383394
##  [867,]   -0.87280483      -0.21121733 -0.261680247   -0.169374247 -0.349865844
##  [868,]   -0.81536975      -0.09952274 -0.210345844   -0.382151061 -0.328618769
##  [869,]   -0.87280483       0.17971373 -0.261680247   -0.524002270 -0.286124619
##  [870,]   -0.41332422       0.57064479 -1.237033895   -0.382151061 -0.158642169
##  [871,]   -0.35588914       1.04534679 -1.339702700   -0.311225456 -0.498595368
##  [872,]   -0.81536975       0.17971373 -1.237033895   -0.736779083 -0.031159719
##  [873,]   -0.58562945      -0.99307945 -0.159011442   -0.382151061 -0.434854143
##  [874,]    0.44820193      -1.77494157  0.508335791   -0.665853479 -0.434854143
##  [875,]    1.19485792      -0.82553757  0.970345414   -0.311225456  0.351287630
##  [876,]    0.27589670      -1.21646863  0.662338998    0.185253776  0.457523005
##  [877,]   -0.70049960      -0.32291192 -1.391037103   -0.240299852 -0.434854143
##  [878,]   -0.35588914       1.04534679 -1.339702700   -0.311225456 -0.498595368
##  [879,]    0.27589670       0.45895020 -0.415683455    1.036361030  0.138816881
##  [880,]   -0.64306452       0.40310291 -1.185699492   -0.027523038 -0.243630469
##  [881,]    0.50563700       0.17971373 -0.467017857   -0.665853479 -0.201136319
##  [882,]   -0.41332422       1.04534679 -1.391037103   -0.311225456 -0.413607068
##  [883,]    0.04615639      -1.21646863  0.097660571    0.398030589  2.263524377
##  [884,]   -0.64306452       0.40310291 -1.185699492   -0.027523038 -0.243630469
##  [885,]    0.27589670       0.45895020 -0.415683455    1.036361030  0.138816881
##  [886,]    0.33333178       1.24081232 -0.672355467   -0.027523038 -0.031159719
##  [887,]    0.39076685       1.52004879 -0.775024272   -0.098448642 -0.094900944
##  [888,]    1.36716315      -0.04367545  0.559670193    0.043402567 -0.456101218
##  [889,]   -0.87280483       0.23556102 -1.391037103   -0.027523038 -0.328618769
##  [890,]    1.36716315       2.07852174  0.354332583    2.880426749  0.521264230
##  [891,]   -0.64306452      -1.04892675 -0.159011442   -0.382151061 -0.349865844
##  [892,]   -0.64306452       0.73818667 -1.237033895   -0.169374247 -0.201136319
##  [893,]    1.02255269      -0.43460651 -0.210345844   -0.453076665 -0.116148019
##  [894,]   -0.64306452       0.73818667 -1.237033895   -0.169374247 -0.201136319
##  [895,]   -0.64306452       0.57064479 -1.237033895   -0.240299852 -0.158642169
##  [896,]   -0.70049960       0.34725561 -1.339702700   -0.169374247 -0.158642169
##  [897,]   -0.01127868      -1.21646863  0.611004596   -0.098448642 -0.201136319
##  [898,]   -0.70049960       0.34725561 -1.339702700   -0.169374247 -0.158642169
##  [899,]   -0.01127868      -1.21646863  0.611004596   -0.098448642 -0.201136319
##  [900,]   -0.01127868       2.74868927 -1.288368298    0.610807403 -0.073653869
##  [901,]    0.33333178      -1.21646863  0.457001388    0.043402567 -0.668571968
##  [902,]   -0.52819437       0.59856844 -0.877693077   -0.098448642 -0.158642169
##  [903,]   -0.52819437       0.59856844 -0.877693077   -0.098448642 -0.158642169
##  [904,]   -0.87280483       0.34725561 -1.083030687    2.454873122 -0.583583668
##  [905,]   -0.87280483       0.34725561 -1.083030687    2.454873122 -0.583583668
##  [906,]    0.50563700       0.29140832 -0.364349052    0.327104985 -0.137395094
##  [907,]   -0.64306452       0.06801914 -0.005008234    0.043402567 -0.073653869
##  [908,]   -1.27485036       0.17971373 -1.391037103   -0.240299852 -0.179889244
##  [909,]   -0.52819437      -0.04367545 -0.723689870   -0.098448642 -0.201136319
##  [910,]   -0.58562945      -1.24439228  0.611004596   -0.949555897 -0.604830743
##  [911,]    0.56307208      -0.82553757  1.073014219    0.894509821  0.946205729
##  [912,]    0.44820193      -1.38401051  0.970345414    4.582641258  0.563758380
##  [913,]    0.96511762      -0.37875921  0.867676609    0.256179380 -0.477348293
##  [914,]    0.62050716      -0.74176663  0.970345414    1.461914658  0.138816881
##  [915,]   -0.58562945      -1.24439228  0.611004596   -0.949555897 -0.604830743
##  [916,]    0.16102655      -1.18854498  0.662338998   -0.240299852 -0.179889244
##  [917,]   -1.73433097       1.04534679 -0.415683455   -0.736779083  1.562370903
##  [918,]   -0.87280483      -0.65799569  0.200329376    4.440790049 -0.073653869
##  [919,]    0.04615639      -0.93723216  0.251663778   -0.240299852 -0.137395094
##  [920,]    0.04615639       0.51479750 -0.775024272   -0.524002270 -0.328618769
##  [921,]    0.73537731      -0.65799569  0.508335791   -0.169374247  0.075075656
##  [922,]    0.04615639      -0.93723216  0.251663778   -0.240299852 -0.137395094
##  [923,]    0.04615639       0.51479750 -0.775024272   -0.524002270 -0.328618769
##  [924,]   -0.87280483      -0.65799569  0.200329376    4.440790049 -0.073653869
##  [925,]    0.16102655      -0.32291192 -0.005008234   -0.169374247 -0.689819043
##  [926,]    0.16102655      -1.71909428  0.457001388   -0.453076665 -0.498595368
##  [927,]    0.62050716      -1.60739969  0.302998181   -0.169374247 -0.562336593
##  [928,]    0.04615639       0.79403397 -0.415683455   -0.240299852  0.117569806
##  [929,]    0.16102655      -0.32291192 -0.005008234   -0.169374247 -0.689819043
##  [930,]    0.21846162      -1.10477404  0.559670193    0.539881799 -0.519842443
##  [931,]   -0.98767498       0.45895020 -1.339702700   -0.453076665 -0.158642169
##  [932,]   -0.52819437       0.45895020 -1.339702700   -0.382151061 -0.286124619
##  [933,]   -0.41332422      -0.71384298  0.097660571   -0.453076665 -0.201136319
##  [934,]   -0.52819437       0.45895020 -1.339702700   -0.382151061 -0.286124619
##  [935,]   -0.98767498       0.45895020 -1.339702700   -0.453076665 -0.158642169
##  [936,]    0.27589670      -1.27231592  0.559670193   -0.169374247 -0.583583668
##  [937,]    0.27589670      -1.27231592  0.559670193   -0.169374247 -0.583583668
##  [938,]    2.11381914       0.57064479  1.175683024   -0.807704688 -0.349865844
##  [939,]   -0.64306452      -0.82553757  0.559670193    0.185253776 -0.413607068
##  [940,]   -1.21741529      -0.37875921 -0.518352260   -0.665853479 -0.307371694
##  [941,]    0.73537731      -1.10477404  1.278351829   -0.240299852 -0.286124619
##  [942,]    0.90768254      -1.43985781  1.124348621    1.745617076 -0.116148019
##  [943,]    1.02255269      -0.54630110  0.662338998    0.043402567  0.096322731
##  [944,]    0.85024746      -0.15537004  0.354332583   -0.169374247  0.138816881
##  [945,]   -0.01127868      -1.27231592  1.124348621    0.894509821  0.053828581
##  [946,]    1.07998777      -0.49045380  0.765007803   -0.382151061 -0.349865844
##  [947,]    1.07998777      -0.49045380  1.586358244    1.107286635  0.096322731
##  [948,]   -0.01127868      -1.38401051  1.073014219   -0.311225456  0.117569806
##  [949,]    0.33333178      -2.27756722  0.919011011   -0.524002270 -0.264877544
##  [950,]    0.33333178      -2.27756722  0.919011011   -0.524002270 -0.264877544
##  [951,]    0.33333178      -2.27756722  0.919011011   -0.524002270 -0.264877544
##  [952,]   -0.01127868      -1.38401051  1.073014219   -0.311225456  0.117569806
##  [953,]   -0.06871376      -1.21646863  0.662338998   -0.240299852 -0.626077818
##  [954,]    1.07998777      -1.04892675  1.073014219   -0.311225456 -0.753560268
##  [955,]   -0.41332422      -0.54630110  0.662338998    0.114328171 -0.116148019
##  [956,]    0.10359147      -1.77494157  1.278351829   -0.453076665  0.053828581
##  [957,]    0.39076685      -0.93723216  1.278351829   -0.311225456  0.500017155
##  [958,]    0.67794223      -0.88138486  1.278351829   -0.382151061  0.011334431
##  [959,]   -1.10254513       0.23556102 -0.775024272   -0.169374247  0.691240830
##  [960,]   -0.18358391       0.34725561 -1.134365090   -0.382151061  0.032581506
##  [961,]    0.10359147      -0.32291192 -0.005008234   -0.453076665 -0.626077818
##  [962,]   -0.70049960       0.17971373 -0.672355467   -0.665853479 -0.201136319
##  [963,]   -0.98767498       0.23556102 -1.288368298   -0.311225456  0.585005455
##  [964,]    0.27589670      -1.43985781  0.611004596   -0.382151061  0.266299330
##  [965,]    0.10359147      -0.32291192 -0.005008234   -0.453076665 -0.626077818
##  [966,]   -0.01127868      -1.04892675  0.662338998   -0.098448642 -0.477348293
##  [967,]    0.39076685      -0.82553757  0.713673401   -0.098448642  0.330040555
##  [968,]    0.10359147       0.73818667 -0.364349052   -0.311225456  0.202558106
##  [969,]    0.39076685      -0.71384298  0.816342206   -0.098448642 -0.413607068
##  [970,]   -0.93023990       0.17971373 -0.929027480    0.256179380 -0.179889244
##  [971,]    1.19485792      -1.49570510  1.073014219   -0.453076665 -0.456101218
##  [972,]    1.19485792      -1.49570510  1.073014219   -0.453076665 -0.456101218
##  [973,]    1.02255269      -0.82553757  1.175683024   -0.098448642  0.351287630
##  [974,]    0.10359147      -1.04892675  0.867676609   -0.594927874 -0.179889244
##  [975,]    0.27589670      -1.10477404  0.713673401    2.383947517 -0.307371694
##  [976,]   -0.64306452      -0.65799569  0.148994973   -0.311225456 -0.094900944
##  [977,]   -0.64306452      -0.65799569  0.148994973   -0.311225456 -0.094900944
##  [978,]    0.04615639       0.34725561  0.097660571    0.043402567  0.457523005
##  [979,]   -0.75793468      -0.71384298  0.251663778    0.752658612 -0.562336593
##  [980,]    2.22868930      -0.43460651  1.124348621   -0.807704688 -0.264877544
##  [981,]    0.44820193      -0.15537004  0.148994973   -0.453076665 -0.477348293
##  [982,]    0.67794223       1.85513256 -0.056342637   -0.453076665 -0.179889244
##  [983,]   -0.58562945      -0.04367545  0.251663778   -0.311225456 -0.371112918
##  [984,]    0.44820193      -0.15537004  0.148994973   -0.453076665 -0.477348293
##  [985,]    2.22868930      -0.43460651  1.124348621   -0.807704688 -0.264877544
##  [986,]   -0.52819437       0.29140832 -1.391037103   -0.382151061 -0.498595368
##  [987,]    0.85024746      -1.04892675  0.611004596   -0.807704688 -0.456101218
##  [988,]   -0.70049960      -0.93723216  0.148994973   -0.665853479 -0.158642169
##  [989,]   -0.35588914      -0.76969027 -0.775024272   -0.594927874  0.202558106
##  [990,]    0.79281239      -1.30023957  0.662338998   -0.736779083 -0.307371694
##  [991,]   -0.35588914      -0.76969027 -0.775024272   -0.594927874  0.202558106
##  [992,]   -0.70049960      -1.04892675  0.046326168   -0.382151061 -0.116148019
##  [993,]   -1.04511006      -0.71384298 -0.877693077   -0.382151061 -0.243630469
##  [994,]   -0.70049960      -1.04892675  0.046326168   -0.382151061 -0.116148019
##  [995,]    0.96511762      -0.99307945  0.919011011   -0.027523038  0.096322731
##  [996,]   -0.35588914       0.40310291 -1.083030687   -0.382151061 -0.179889244
##  [997,]   -1.56202574       0.73818667 -1.391037103   -0.240299852 -0.009912644
##  [998,]   -1.56202574       0.73818667 -1.391037103   -0.240299852 -0.009912644
##  [999,]    0.33333178       1.74343797  0.354332583   -0.807704688 -0.796054418
## [1000,]   -1.10254513       0.90572856 -1.391037103   -0.630390677 -0.689819043
## [1001,]   -0.47075929      -0.54630110  0.148994973   -0.240299852 -0.541089518
## [1002,]    0.90768254      -0.99307945  0.559670193   -0.736779083 -0.626077818
## [1003,]    0.44820193      -1.32816322  0.302998181   -0.346688258 -0.519842443
## [1004,]   -0.87280483      -0.93723216  0.251663778   -0.524002270 -0.434854143
## [1005,]   -0.06871376      -0.54630110  0.097660571   -0.665853479 -0.137395094
## [1006,]   -0.87280483      -0.93723216  0.251663778   -0.524002270 -0.434854143
## [1007,]    0.44820193      -1.32816322  0.302998181   -0.346688258 -0.519842443
## [1008,]    0.44820193      -1.27231592  0.354332583   -0.382151061 -0.498595368
## [1009,]    0.33333178      -0.99307945  0.662338998    0.752658612  0.478770080
## [1010,]    0.73537731      -0.15537004  0.457001388    0.185253776  0.606252530
## [1011,]    0.33333178      -1.38401051  0.919011011   -0.594927874 -0.434854143
## [1012,]    0.33333178      -1.16062133  0.200329376   -0.382151061  0.011334431
## [1013,]   -0.35588914       2.66491833 -0.621021065   -0.311225456  0.308793480
## [1014,]   -0.47075929       1.01742314 -1.391037103   -0.665853479  0.096322731
## [1015,]   -0.18358391       0.29140832 -0.569686662   -0.382151061  0.691240830
## [1016,]    1.25229300      -0.76969027  0.970345414   -0.240299852 -0.264877544
## [1017,]    0.33333178      -0.82553757  0.662338998   -0.240299852 -0.413607068
## [1018,]   -0.18358391      -1.94248346  0.508335791   -1.162332711 -0.817301493
## [1019,]   -0.18358391      -1.94248346  0.508335791   -1.162332711 -0.817301493
## [1020,]   -0.75793468      -0.15537004 -0.672355467   -0.524002270 -0.201136319
## [1021,]    1.71177361      -0.93723216  1.997033464   -0.098448642  0.754982055
## [1022,]    1.71177361      -0.93723216  1.997033464   -0.098448642  0.754982055
## [1023,]   -0.75793468      -0.09952274 -0.929027480   -0.311225456 -0.541089518
## [1024,]   -0.06871376      -1.16062133  0.765007803   -0.169374247  0.223805180
## [1025,]   -0.35588914       0.29140832 -1.339702700   -0.524002270  0.011334431
## [1026,]    0.16102655       1.68759068 -1.391037103    0.185253776  0.160063956
## [1027,]   -0.24101899      -1.21646863  0.251663778   -0.453076665 -0.456101218
## [1028,]   -1.10254513       1.49212515 -1.391037103   -0.240299852 -0.477348293
## [1029,]   -0.64306452      -1.04892675 -0.313014650   -0.027523038 -0.264877544
## [1030,]   -0.35588914       0.29140832 -1.339702700   -0.524002270  0.011334431
## [1031,]   -0.70049960       0.34725561 -1.391037103   -0.311225456  0.075075656
## [1032,]   -0.58562945       0.12386643 -1.339702700   -0.524002270  0.117569806
## [1033,]   -0.12614884       1.63174338 -1.391037103    1.107286635  0.160063956
## [1034,]   -0.47075929       0.23556102 -0.980361882    0.043402567  0.032581506
## [1035,]    0.33333178       1.21288867 -0.467017857   -0.027523038 -0.222383394
## [1036,]    1.02255269      -0.88138486  0.354332583   -0.098448642 -0.052406794
## [1037,]   -0.41332422      -1.21646863  0.354332583   -0.027523038 -0.116148019
## [1038,]   -0.58562945       2.13436903 -0.877693077   -0.524002270 -0.286124619
## [1039,]    0.21846162      -0.65799569  0.713673401    2.596724331 -0.201136319
## [1040,]    0.33333178      -0.15537004 -0.313014650   -0.240299852  0.011334431
## [1041,]   -0.52819437       2.44152915 -1.391037103   -0.240299852  0.011334431
## [1042,]   -0.81536975      -0.21121733 -0.415683455   -0.594927874 -0.179889244
## [1043,]    0.33333178      -0.15537004 -0.313014650   -0.240299852  0.011334431
## [1044,]    0.67794223      -0.76969027  0.713673401    4.511715654 -0.392359993
## [1045,]   -1.10254513      -0.76969027  0.302998181    0.539881799 -0.881042718
## [1046,]   -0.81536975      -0.49045380 -1.391037103   -0.807704688 -0.371112918
## [1047,]   -0.41332422       1.40835420 -1.391037103   -0.594927874 -0.243630469
## [1048,]   -0.70049960      -0.54630110 -0.518352260   -0.524002270 -0.116148019
## [1049,]    0.56307208      -0.21121733  0.457001388   -0.594927874 -0.137395094
## [1050,]    0.56307208      -0.15537004  0.457001388   -0.524002270 -0.073653869
## [1051,]   -0.70049960      -0.54630110 -0.518352260   -0.524002270 -0.116148019
## [1052,]    0.10359147      -0.37875921  1.637692646   -0.807704688  6.937880869
## [1053,]   -1.56202574       0.43102655 -1.134365090   -0.098448642 -0.307371694
## [1054,]   -0.01127868      -1.10477404  0.765007803   -0.169374247 -0.371112918
## [1055,]   -0.06871376       0.62649208 -0.005008234   -0.382151061  0.160063956
## [1056,]   -0.06871376       0.62649208 -0.005008234   -0.382151061  0.160063956
## [1057,]    0.33333178      -0.26706463  1.329686231    1.036361030  0.287546405
## [1058,]   -0.41332422      -0.60214839 -0.107677039    0.965435426  0.351287630
## [1059,]    0.90768254       0.01217185  1.535023841   -0.098448642  0.117569806
## [1060,]    0.33333178      -0.26706463  1.329686231    1.036361030  0.287546405
## [1061,]    1.88407884      -1.66324698  1.535023841   -0.524002270 -0.286124619
## [1062,]    0.44820193      -0.71384298  1.175683024   -0.524002270 -0.349865844
## [1063,]   -0.18358391      -0.82553757  0.867676609   -0.453076665  0.223805180
## [1064,]    1.07998777      -1.32816322  1.945699062   -0.098448642 -0.264877544
## [1065,]   -0.06871376       1.18496503 -0.929027480   -0.382151061 -0.434854143
## [1066,]   -0.35588914       0.45895020 -0.467017857   -0.098448642 -0.094900944
## [1067,]   -0.98767498      -0.04367545 -0.980361882   -0.098448642 -0.371112918
## [1068,]    1.59690346      -1.21646863  1.329686231   -0.240299852 -0.583583668
## [1069,]    1.59690346      -1.21646863  1.329686231   -0.240299852 -0.583583668
## [1070,]   -0.18358391       0.51479750  0.405666986    0.185253776 -0.031159719
## [1071,]    0.56307208      -1.10477404  0.919011011   -0.736779083 -0.647324893
## [1072,]   -0.47075929       1.35250691 -0.364349052    3.944310817  0.223805180
## [1073,]   -0.64306452      -0.99307945 -0.056342637   -0.524002270 -0.094900944
## [1074,]   -0.18358391       0.51479750  0.302998181    0.114328171  0.011334431
## [1075,]   -0.47075929       1.35250691 -0.364349052    3.944310817  0.223805180
## [1076,]    0.44820193      -1.55155239  0.354332583   -0.382151061 -0.349865844
## [1077,]    0.90768254      -1.16062133  1.483689439   -0.382151061 -0.307371694
## [1078,]    0.16102655      -0.88138486  1.945699062    2.738575540 -0.158642169
## [1079,]    0.16102655      -0.88138486  1.945699062    2.738575540 -0.158642169
## [1080,]   -0.24101899      -1.27231592  2.099702269    4.086162026 -0.796054418
## [1081,]    1.13742284      -1.43985781  1.483689439   -0.807704688 -0.859795643
## [1082,]   -0.24101899      -1.27231592  2.099702269    4.086162026 -0.796054418
## [1083,]   -0.64306452      -0.82553757  0.148994973   -0.524002270 -0.307371694
## [1084,]    0.21846162      -0.60214839  0.919011011   -0.098448642 -0.328618769
## [1085,]   -0.64306452      -0.82553757  0.148994973   -0.524002270 -0.307371694
## [1086,]   -0.87280483      -0.26706463 -0.980361882   -0.524002270 -0.286124619
## [1087,]    0.10359147      -1.04892675  0.662338998    1.532840262 -0.689819043
## [1088,]   -0.24101899      -1.88663616  0.765007803   -0.665853479 -0.647324893
## [1089,]    1.88407884      -0.65799569  1.381020634   -0.736779083  0.160063956
## [1090,]    1.88407884      -0.65799569  1.381020634   -0.736779083  0.160063956
## [1091,]    0.96511762      -1.49570510  1.381020634   -0.453076665 -0.094900944
## [1092,]   -0.24101899      -1.04892675  0.765007803   -0.382151061 -0.031159719
## [1093,]   -0.75793468       0.06801914 -0.929027480   -0.382151061 -0.137395094
## [1094,]    0.50563700      -1.21646863  0.457001388   -0.240299852 -0.179889244
## [1095,]   -0.98767498       1.10119409 -0.929027480    2.100245099  0.627499605
## [1096,]    0.62050716      -0.71384298  1.021679816   -0.027523038 -0.009912644
## [1097,]   -0.98767498       1.10119409 -0.929027480    2.100245099  0.627499605
## [1098,]    0.16102655      -0.04367545  0.559670193   -0.736779083  0.181311031
## [1099,]   -0.18358391      -1.21646863  0.919011011   -0.311225456  2.730960026
## [1100,]    0.16102655      -0.04367545  0.559670193   -0.736779083  0.181311031
## [1101,]    0.04615639      -1.04892675  0.765007803   -0.311225456 -0.328618769
## [1102,]   -0.52819437      -0.21121733 -0.005008234   -0.311225456 -0.349865844
## [1103,]   -1.27485036      -0.26706463 -0.929027480   -0.594927874 -0.201136319
## [1104,]   -0.52819437      -0.21121733 -0.005008234   -0.311225456 -0.349865844
## [1105,]   -0.18358391      -0.26706463  0.354332583   -0.240299852 -0.307371694
## [1106,]   -1.15998021       0.23556102  0.046326168   -0.311225456 -0.838548568
## [1107,]   -0.06871376      -1.66324698  0.765007803   -0.453076665 -0.392359993
## [1108,]    0.44820193      -1.27231592  0.713673401   -0.382151061 -0.413607068
## [1109,]   -0.12614884       1.40835420 -0.877693077    0.539881799  0.053828581
## [1110,]    1.42459823      -0.32291192  0.816342206   -0.311225456  1.774841653
## [1111,]   -0.01127868       0.01217185 -1.391037103   -0.807704688 -0.371112918
## [1112,]   -1.67689590      -0.60214839 -0.005008234   -0.382151061  0.096322731
## [1113,]   -0.24101899      -1.10477404  0.713673401   -0.736779083 -0.668571968
## [1114,]    0.33333178      -1.60739969  0.611004596   -0.665853479 -0.286124619
## [1115,]   -1.90663620      -0.71384298  1.175683024    1.249137844 -0.881042718
## [1116,]   -0.75793468       0.90572856 -1.031696285   -0.027523038  0.075075656
## [1117,]   -0.75793468       0.90572856 -1.031696285   -0.027523038  0.075075656
## [1118,]   -0.75793468       0.90572856 -1.031696285   -0.027523038  0.075075656
## [1119,]   -0.70049960      -0.76969027 -0.775024272   -0.311225456 -0.477348293
## [1120,]   -1.56202574       0.73818667 -1.391037103   -0.027523038 -0.456101218
## [1121,]   -0.24101899       0.06801914  0.354332583   -0.027523038 -0.243630469
## [1122,]   -0.98767498      -0.15537004 -1.391037103   -0.524002270 -0.541089518
## [1123,]   -1.15998021      -0.32291192 -1.391037103   -0.807704688 -0.689819043
## [1124,]    1.36716315      -0.71384298  0.508335791   -0.453076665 -0.137395094
## [1125,]   -1.04511006       0.29140832 -1.391037103   -0.240299852  0.181311031
## [1126,]    0.27589670      -1.60739969  0.405666986   -0.594927874 -0.689819043
## [1127,]   -1.44715559      -1.32816322 -0.056342637   -0.594927874 -0.519842443
## [1128,]   -1.15998021       1.29665962 -1.391037103    0.256179380 -0.328618769
## [1129,]    0.96511762      -0.54630110  0.302998181    0.114328171  0.160063956
## [1130,]    1.25229300      -0.54630110  0.405666986    0.539881799  0.096322731
## [1131,]    0.44820193       0.40310291 -1.391037103   -0.453076665 -0.626077818
## [1132,]   -1.38972052      -1.88663616 -0.313014650   -0.594927874 -0.902289793
## [1133,]   -0.52819437      -0.93723216  0.354332583   -0.524002270 -0.264877544
## [1134,]   -0.64306452      -0.26706463 -1.031696285    2.100245099  0.032581506
## [1135,]    0.10359147      -1.38401051  0.405666986   -0.594927874 -0.562336593
## [1136,]   -0.18358391      -1.55155239  0.816342206   -0.594927874 -0.434854143
## [1137,]    1.19485792      -0.04367545  0.919011011   -0.382151061 -0.158642169
## [1138,]    1.19485792      -0.04367545  0.919011011   -0.382151061 -0.158642169
## [1139,]   -0.47075929      -0.65799569 -0.621021065    0.823584217  0.351287630
## [1140,]   -0.06871376      -0.09952274 -0.159011442   -0.382151061 -0.179889244
## [1141,]   -0.58562945      -0.71384298  0.148994973   -0.594927874 -0.158642169
## [1142,]   -0.06871376      -0.82553757  0.251663778   -0.027523038 -0.158642169
## [1143,]   -0.81536975      -0.43460651 -0.826358675   -0.098448642 -0.944783943
## [1144,]   -0.75793468      -1.71909428  0.148994973   -0.524002270 -0.477348293
## [1145,]   -0.58562945      -1.16062133 -0.210345844   -0.169374247 -0.456101218
## [1146,]   -0.06871376      -1.83078887  0.816342206   -0.027523038 -0.243630469
## [1147,]   -0.29845406      -0.15537004 -0.775024272   -0.524002270  1.923571178
## [1148,]    0.96511762      -0.65799569  0.919011011    2.596724331 -0.349865844
## [1149,]   -0.29845406      -0.76969027  0.765007803   -0.382151061 -0.031159719
## [1150,]    0.96511762      -0.99307945  1.021679816   -0.382151061 -0.562336593
## [1151,]   -0.06871376      -1.10477404  0.251663778    0.185253776 -0.434854143
## [1152,]   -1.27485036       0.29140832 -0.210345844   -0.027523038 -0.923536868
## [1153,]   -0.01127868       0.40310291 -0.107677039   -0.240299852  0.648746680
## [1154,]    0.73537731      -0.60214839  0.405666986   -0.311225456 -0.094900944
## [1155,]   -0.98767498       0.29140832 -1.391037103   -0.240299852  0.266299330
## [1156,]   -0.01127868       0.40310291 -0.107677039   -0.240299852  0.648746680
## [1157,]    0.10359147      -1.94248346  1.227017426   -0.559465072 -0.349865844
## [1158,]   -1.84920113      -0.09952274 -0.467017857   -0.311225456 -0.966031017
## [1159,]   -0.93023990      -0.65799569  0.816342206    0.185253776 -0.243630469
## [1160,]    1.07998777      -0.65799569  0.816342206   -0.240299852  0.478770080
## [1161,]    1.30972807      -0.93723216  1.535023841   -0.169374247 -0.009912644
## [1162,]    0.27589670      -0.43460651  0.816342206   -0.807704688 -0.243630469
## [1163,]    0.10359147      -1.16062133  0.765007803   -0.169374247 -0.264877544
## [1164,]    0.39076685       1.43627785 -0.159011442   -0.594927874 -0.201136319
## [1165,]    0.39076685       1.43627785 -0.159011442   -0.594927874 -0.201136319
## [1166,]    0.10359147      -0.49045380  1.175683024   -0.453076665  5.981762496
## [1167,]    0.90768254       0.06801914 -0.056342637   -0.382151061  0.500017155
## [1168,]   -0.06871376      -1.10477404  0.611004596   -0.027523038 -0.286124619
## [1169,]   -1.04511006      -1.04892675 -0.005008234    0.185253776 -0.434854143
## [1170,]   -0.41332422      -0.15537004  0.097660571   -0.169374247 -0.031159719
## [1171,]    0.50563700      -0.93723216  0.354332583   -0.665853479 -0.541089518
## [1172,]   -0.70049960       0.34725561 -1.391037103   -0.240299852 -0.201136319
## [1173,]    0.79281239      -0.60214839  0.970345414   -0.311225456 -0.286124619
## [1174,]   -0.41332422      -0.93723216  0.200329376   -0.594927874 -0.179889244
## [1175,]   -0.41332422      -0.93723216  0.200329376   -0.594927874 -0.179889244
## [1176,]   -1.04511006       0.45895020 -1.391037103   -0.240299852  0.160063956
## [1177,]   -1.04511006       1.96682715 -1.237033895    2.171170703 -0.179889244
## [1178,]   -0.70049960       0.73818667 -1.391037103   -0.098448642 -0.753560268
## [1179,]   -1.56202574       2.16229268 -1.391037103   -0.311225456 -0.987278092
## [1180,]   -0.06871376      -0.99307945  0.302998181   -0.098448642 -0.243630469
## [1181,]   -0.06871376      -0.99307945  0.302998181   -0.098448642 -0.243630469
## [1182,]    0.85024746      -0.76969027  0.816342206   -0.630390677 -0.413607068
## [1183,]    1.07998777      -0.71384298  0.662338998   -0.027523038 -0.413607068
## [1184,]   -0.87280483       0.73818667 -1.031696285   -0.665853479 -0.371112918
## [1185,]   -0.93023990       0.62649208 -0.210345844   -0.311225456 -0.158642169
## [1186,]   -0.75793468      -0.54630110  0.148994973   -0.382151061 -0.052406794
## [1187,]   -0.98767498       1.52004879 -1.237033895    3.731534004 -0.179889244
## [1188,]   -0.75793468      -0.54630110  0.148994973   -0.382151061 -0.052406794
## [1189,]   -0.93023990       0.62649208 -0.210345844   -0.311225456 -0.158642169
## [1190,]    0.27589670       2.38568186 -1.134365090   -0.524002270 -0.264877544
## [1191,]    0.44820193      -0.71384298  1.535023841    1.461914658 -0.158642169
## [1192,]   -1.04511006       1.99475079 -1.391037103   -0.169374247  1.668606278
## [1193,]   -0.64306452      -1.55155239  0.508335791   -0.027523038 -0.519842443
## [1194,]   -1.10254513       1.99475079 -1.391037103   -0.169374247  1.668606278
## [1195,]   -0.75793468       1.21288867 -0.775024272   -0.524002270  0.563758380
## [1196,]   -1.21741529      -0.54630110 -0.261680247   -0.524002270 -0.201136319
## [1197,]   -0.24101899       0.29140832 -0.210345844   -0.169374247 -0.243630469
## [1198,]   -0.35588914       0.23556102 -0.313014650   -0.736779083 -0.392359993
## [1199,]   -0.35588914      -1.49570510 -0.056342637   -0.382151061 -0.753560268
## [1200,]   -0.24101899       0.29140832 -0.210345844   -0.169374247 -0.243630469
## [1201,]   -0.35588914       0.23556102 -0.313014650   -0.736779083 -0.392359993
## [1202,]   -0.24101899      -1.04892675  0.457001388   -0.453076665 -0.477348293
## [1203,]    0.16102655      -0.60214839  0.611004596   -0.524002270 -0.413607068
## [1204,]    0.90768254       1.18496503 -0.415683455    2.313021912  0.500017155
## [1205,]   -0.64306452      -0.93723216  0.970345414   -0.311225456 -0.286124619
## [1206,]   -0.64306452      -0.93723216  0.970345414   -0.311225456 -0.286124619
## [1207,]   -0.64306452      -0.93723216  0.970345414   -0.311225456 -0.286124619
## [1208,]    0.90768254       1.07327044  1.432355036   -0.594927874  1.031194029
## [1209,]   -0.64306452      -0.93723216  0.970345414   -0.311225456 -0.286124619
## [1210,]   -1.21741529      -0.76969027  0.816342206   -0.382151061 -0.349865844
## [1211,]   -0.87280483       0.68233938 -1.288368298   -0.311225456 -0.201136319
## [1212,]   -0.98767498      -0.49045380 -0.621021065   -0.311225456 -0.243630469
## [1213,]   -0.87280483       0.68233938 -1.288368298   -0.311225456 -0.201136319
## [1214,]    0.73537731      -0.82553757  0.765007803   -0.453076665 -0.349865844
## [1215,]    1.07998777      -1.10477404  0.970345414   -0.453076665 -0.137395094
## [1216,]    0.27589670      -1.43985781  0.970345414   -0.311225456  0.160063956
## [1217,]   -0.24101899       0.23556102  0.200329376   -0.382151061 -0.179889244
## [1218,]   -0.06871376      -1.04892675  0.508335791   -0.453076665 -0.647324893
## [1219,]   -0.06871376      -0.71384298  0.200329376   -0.453076665 -0.116148019
## [1220,]    0.39076685      -0.76969027  0.662338998   -0.878630293 -0.923536868
## [1221,]    1.48203330      -1.16062133  1.278351829   -0.524002270  0.946205729
## [1222,]    1.48203330      -1.16062133  1.278351829   -0.524002270  0.946205729
## [1223,]   -0.12614884       0.01217185 -0.261680247   -0.240299852 -0.201136319
## [1224,]    1.25229300      -0.93723216  1.021679816   -0.240299852 -0.286124619
## [1225,]    2.45842960      -0.76969027  1.124348621   -0.027523038 -0.158642169
## [1226,]    0.50563700      -0.37875921 -0.210345844    0.043402567  0.075075656
## [1227,]   -0.47075929       0.29140832 -1.237033895    1.107286635 -0.158642169
## [1228,]    0.39076685       0.29140832 -0.107677039   -0.382151061  0.351287630
## [1229,]   -1.84920113      -0.60214839 -1.391037103   -0.524002270 -0.923536868
## [1230,]   -0.41332422      -0.54630110  0.097660571   -0.311225456 -0.264877544
## [1231,]   -0.35588914      -1.94248346  0.354332583    0.114328171 -0.456101218
## [1232,]   -0.29845406       1.60381973 -1.339702700    0.043402567 -0.286124619
## [1233,]   -0.41332422      -0.54630110  0.097660571   -0.311225456 -0.264877544
## [1234,]    1.07998777      -1.66324698  0.508335791   -0.240299852 -0.647324893
## [1235,]   -0.70049960       1.24081232 -1.339702700   -0.240299852 -0.604830743
## [1236,]   -1.33228544      -1.10477404  0.251663778    7.348739836 -0.711066118
## [1237,]   -0.29845406       0.12386643 -1.391037103   -0.594927874 -0.371112918
## [1238,]   -0.70049960       1.24081232 -1.339702700   -0.240299852 -0.604830743
## [1239,]   -0.12614884       1.12911773 -1.391037103   -0.027523038 -0.137395094
## [1240,]   -1.04511006       0.79403397 -1.391037103    1.249137844 -0.647324893
## [1241,]   -0.47075929       0.45895020 -0.364349052   -0.594927874 -0.243630469
## [1242,]    0.85024746      -0.88138486  0.611004596   -0.027523038 -0.179889244
## [1243,]    0.39076685      -0.71384298  0.713673401   -0.382151061 -0.626077818
## [1244,]   -0.01127868       0.17971373 -0.261680247   -0.098448642 -0.116148019
## [1245,]   -1.38972052      -1.32816322 -0.107677039    7.703367859 -0.434854143
## [1246,]   -0.52819437       0.12386643 -0.415683455   -0.524002270 -0.116148019
## [1247,]   -0.52819437       1.18496503 -1.031696285   -0.594927874 -0.031159719
## [1248,]   -0.52819437       0.12386643 -0.415683455   -0.524002270 -0.116148019
## [1249,]   -0.81536975      -0.65799569  0.302998181   -0.240299852 -0.137395094
## [1250,]   -0.70049960       0.40310291 -1.339702700   -0.169374247 -0.179889244
## [1251,]   -0.70049960       0.40310291 -1.339702700   -0.169374247 -0.179889244
## [1252,]   -0.47075929       0.29140832 -0.672355467   -0.240299852 -0.222383394
## [1253,]   -0.70049960       1.07327044 -1.391037103   -0.524002270  0.754982055
## [1254,]   -0.24101899       0.73818667 -1.391037103   -0.807704688  0.181311031
## [1255,]   -0.29845406       0.96157585 -1.083030687   -0.453076665 -0.179889244
## [1256,]   -1.27485036       0.62649208 -1.288368298   -0.098448642 -0.392359993
## [1257,]   -0.47075929       0.34725561 -0.261680247   -0.524002270 -0.116148019
## [1258,]   -0.75793468       0.29140832  0.046326168    1.603765867 -0.052406794
## [1259,]   -0.87280483       0.62649208 -1.391037103    0.114328171  0.754982055
## [1260,]   -0.87280483       0.62649208 -1.391037103    0.114328171  0.754982055
## [1261,]    0.16102655       0.59856844  2.099702269   -0.524002270  6.704163044
## [1262,]   -1.15998021       2.74868927 -1.391037103   -0.382151061 -0.094900944
## [1263,]    0.85024746      -0.43460651  0.559670193   -0.027523038 -0.137395094
## [1264,]   -0.06871376       1.40835420 -1.391037103   -0.240299852  0.032581506
## [1265,]    0.10359147      -0.88138486  0.251663778   -0.524002270 -0.456101218
## [1266,]   -0.64306452       0.23556102 -1.134365090   -0.169374247 -0.137395094
## [1267,]   -0.64306452       0.23556102 -1.134365090   -0.169374247 -0.137395094
## [1268,]    1.19485792      -0.54630110  1.175683024   -0.169374247 -0.413607068
## [1269,]   -0.81536975      -0.65799569  0.200329376   -0.382151061 -0.179889244
## [1270,]   -1.61946082      -0.21121733 -1.237033895   -0.524002270 -0.923536868
## [1271,]   -1.90663620      -0.82553757 -1.339702700   -0.665853479 -0.838548568
## [1272,]   -0.58562945      -0.49045380 -0.364349052   -0.665853479 -0.817301493
## [1273,]   -1.38972052      -0.37875921 -1.391037103   -0.453076665 -0.222383394
## [1274,]   -0.47075929       0.29140832 -0.364349052   -0.382151061 -0.307371694
## [1275,]   -0.29845406       0.29140832 -0.723689870   -0.311225456  0.308793480
## [1276,]   -0.18358391       1.04534679 -0.261680247   -0.169374247 -0.264877544
## [1277,]    0.10359147      -0.71384298  0.662338998    2.667649935 -0.796054418
## [1278,]   -0.75793468       0.90572856 -1.391037103   -0.453076665  0.563758380
## [1279,]   -0.18358391       1.04534679 -0.261680247   -0.169374247 -0.264877544
## [1280,]    0.85024746      -1.27231592  0.611004596   -0.594927874 -0.541089518
## [1281,]   -0.70049960      -0.37875921 -0.364349052   -0.453076665 -0.222383394
## [1282,]   -0.70049960      -0.37875921 -0.364349052   -0.453076665 -0.222383394
## [1283,]   -0.24101899       1.32458326 -1.391037103   -0.382151061 -0.073653869
## [1284,]    0.21846162       0.57064479  0.046326168    0.114328171  0.181311031
## [1285,]   -0.75793468      -0.60214839 -0.415683455   -0.169374247 -0.349865844
## [1286,]    1.71177361      -0.88138486  1.175683024   -0.524002270  0.053828581
## [1287,]   -0.70049960      -2.05417804  0.867676609   -0.027523038 -0.413607068
## [1288,]   -0.18358391       0.40310291 -0.980361882    0.043402567 -0.668571968
## [1289,]   -0.75793468       0.40310291  0.148994973    1.390989053 -0.413607068
## [1290,]   -0.75793468       0.40310291  0.148994973    1.390989053 -0.413607068
## [1291,]   -0.41332422       1.18496503 -1.391037103   -0.453076665  0.266299330
## [1292,]   -0.06871376       0.59856844 -0.877693077   -0.311225456 -0.307371694
## [1293,]   -1.38972052      -0.74176663 -0.723689870   -0.098448642 -0.668571968
## [1294,]   -0.47075929       1.26873597 -1.391037103   -0.453076665 -0.073653869
## [1295,]   -0.06871376       0.59856844 -0.877693077   -0.311225456 -0.307371694
## [1296,]   -0.98767498       0.57064479 -1.391037103    1.249137844  0.117569806
## [1297,]   -0.98767498       0.57064479 -1.391037103    1.249137844  0.117569806
## [1298,]   -0.64306452       0.01217185 -0.672355467   -0.311225456 -0.498595368
## [1299,]   -1.50459067       0.40310291 -1.391037103   -0.807704688 -0.519842443
## [1300,]   -0.41332422       5.87613775 -1.391037103   -0.311225456  1.052441104
## [1301,]   -1.79176605       0.65441573 -1.391037103   -0.275762654 -0.158642169
## [1302,]   -0.93023990       1.85513256 -1.031696285   -0.382151061  0.266299330
## [1303,]    0.44820193      -0.88138486  0.251663778   -0.311225456 -0.498595368
## [1304,]   -0.18358391      -1.38401051  0.867676609   -0.524002270 -0.137395094
## [1305,]   -0.41332422       1.46420150 -0.313014650   -0.169374247 -0.009912644
## [1306,]   -0.47075929       0.45895020 -0.056342637   -0.453076665 -0.307371694
## [1307,]    0.79281239       0.90572856  0.251663778   -0.027523038  0.011334431
## [1308,]   -0.87280483       0.84988126 -0.929027480    0.965435426 -0.413607068
## [1309,]    0.79281239       0.90572856  0.251663778   -0.027523038  0.011334431
## [1310,]   -0.75793468       0.51479750 -0.877693077   -0.807704688 -0.349865844
## [1311,]   -0.47075929       0.45895020 -0.056342637   -0.453076665 -0.307371694
## [1312,]   -1.04511006      -0.09952274 -0.621021065    0.327104985 -0.498595368
## [1313,]   -0.18358391       3.64224598 -0.313014650   -0.453076665 -0.094900944
## [1314,]   -0.75793468      -0.93723216 -0.313014650   -0.169374247 -0.031159719
## [1315,]   -0.75793468      -0.93723216 -0.313014650   -0.098448642 -0.031159719
## [1316,]   -0.47075929       0.57064479 -0.005008234   -0.382151061 -0.094900944
## [1317,]   -1.67689590       1.18496503 -1.391037103   -0.949555897 -0.987278092
## [1318,]    0.90768254      -0.49045380  0.970345414   -0.240299852  0.075075656
## [1319,]   -0.47075929       0.57064479 -0.005008234   -0.382151061 -0.094900944
## [1320,]    0.44820193       1.29665962  2.099702269   -0.594927874  6.937880869
## [1321,]    0.79281239       0.73818667  0.354332583    0.043402567  0.138816881
## [1322,]   -1.90663620       1.18496503 -1.391037103   -0.949555897 -0.987278092
## [1323,]    0.44820193      -1.04892675  0.765007803   -0.524002270 -0.626077818
## [1324,]    0.44820193      -0.93723216  0.611004596   -0.524002270 -0.583583668
## [1325,]   -0.93023990      -0.37875921 -0.159011442   -0.594927874 -0.222383394
## [1326,]   -0.93023990      -0.37875921 -0.159011442   -0.594927874 -0.222383394
## [1327,]   -0.93023990      -0.37875921 -0.159011442   -0.594927874 -0.222383394
## [1328,]   -0.93023990      -0.37875921 -0.159011442   -0.594927874 -0.222383394
## [1329,]   -1.04511006      -0.04367545 -0.826358675   -0.524002270 -0.307371694
## [1330,]   -0.52819437       0.40310291 -0.056342637   -0.311225456 -0.094900944
## [1331,]   -0.52819437       0.40310291 -0.056342637   -0.311225456 -0.094900944
## [1332,]   -0.29845406       1.91097985 -0.056342637    0.894509821  0.415028855
## [1333,]    0.04615639      -0.76969027 -0.877693077   -0.594927874 -0.264877544
## [1334,]    0.44820193       1.38043056 -0.261680247   -0.240299852 -0.179889244
## [1335,]   -0.64306452       1.71551432 -1.391037103   -0.382151061  1.668606278
## [1336,]   -0.98767498       0.29140832 -1.288368298   -0.098448642 -0.392359993
## [1337,]   -1.33228544      -0.15537004 -1.391037103   -0.807704688 -0.647324893
## [1338,]   -1.33228544      -0.15537004 -1.391037103   -0.807704688 -0.647324893
## [1339,]   -1.33228544      -0.15537004 -1.391037103   -0.807704688 -0.647324893
## [1340,]   -0.47075929      -0.09952274 -1.288368298   -0.594927874 -0.073653869
## [1341,]   -0.47075929      -0.09952274 -1.288368298   -0.594927874 -0.073653869
## [1342,]   -0.47075929      -0.09952274 -1.288368298   -0.594927874 -0.073653869
## [1343,]   -0.41332422       0.06801914 -1.288368298   -0.594927874 -0.052406794
## [1344,]   -0.47075929      -0.09952274 -1.288368298   -0.594927874 -0.073653869
## [1345,]    1.82664376      -0.60214839  1.073014219    0.043402567 -0.222383394
## [1346,]   -0.06871376      -0.49045380 -0.159011442   -0.169374247 -0.519842443
## [1347,]   -1.27485036       0.34725561 -1.339702700   -0.311225456 -0.668571968
## [1348,]   -0.64306452       0.71026303 -1.237033895   -0.524002270 -0.201136319
## [1349,]   -0.64306452       0.71026303 -1.237033895   -0.524002270 -0.201136319
## [1350,]   -0.81536975       0.23556102 -1.391037103    0.185253776 -0.137395094
## [1351,]    0.39076685       0.40310291  0.097660571   -0.382151061 -0.392359993
## [1352,]   -0.64306452       0.51479750 -1.339702700   -0.169374247 -0.477348293
## [1353,]   -0.41332422       0.65441573 -1.237033895   -0.453076665 -0.031159719
## [1354,]   -0.41332422       0.65441573 -1.237033895   -0.453076665 -0.031159719
## [1355,]   -0.64306452       0.29140832 -1.237033895   -0.169374247 -0.222383394
## [1356,]   -1.27485036      -1.16062133 -0.107677039   -0.524002270 -0.031159719
## [1357,]   -1.27485036      -1.04892675 -0.107677039   -0.524002270 -0.073653869
## [1358,]   -0.58562945      -0.54630110 -0.159011442   -0.027523038 -0.201136319
## [1359,]   -0.52819437       0.62649208 -0.518352260    2.029319494  1.711100428
## [1360,]    1.88407884      -0.29498827  0.662338998   -0.807704688  0.075075656
## [1361,]    0.50563700       0.06801914  0.200329376   -0.169374247  0.521264230
## [1362,]   -0.01127868       1.79928526 -0.672355467   -0.027523038  0.117569806
## [1363,]    1.88407884      -0.29498827  0.662338998   -0.807704688  0.075075656
## [1364,]   -0.18358391       1.68759068 -0.005008234   -0.382151061 -0.158642169
## [1365,]   -0.64306452       0.43102655 -1.288368298   -0.453076665  0.181311031
## [1366,]   -0.29845406      -0.15537004 -0.929027480   -0.240299852  0.585005455
## [1367,]   -0.58562945       1.18496503 -0.980361882   -0.594927874  0.138816881
## [1368,]   -0.81536975       0.06801914  0.148994973   -0.240299852  0.011334431
## [1369,]   -0.18358391       1.35250691  0.251663778   -0.311225456 -0.179889244
## [1370,]   -0.98767498       0.45895020 -1.391037103   -0.665853479 -0.392359993
## [1371,]    0.21846162       1.40835420  1.227017426   -0.594927874  6.959127944
## [1372,]   -0.47075929       0.29140832  1.483689439    0.398030589  1.392394304
## [1373,]    0.21846162       1.40835420  1.227017426   -0.594927874  6.959127944
## [1374,]   -0.35588914       1.24081232 -0.005008234    0.894509821  0.478770080
## [1375,]   -0.87280483       1.60381973 -1.391037103   -0.949555897  3.814560849
## [1376,]   -0.64306452       0.17971373 -0.056342637   -0.382151061 -0.094900944
## [1377,]   -0.06871376       1.99475079 -0.364349052   -0.807704688 -0.031159719
## [1378,]   -1.79176605      -0.21121733 -0.056342637   -0.169374247  0.053828581
## [1379,]   -0.64306452      -0.43460651 -0.621021065   -0.382151061 -0.201136319
## [1380,]   -0.47075929       0.23556102 -1.288368298    0.043402567 -0.222383394
## [1381,]   -0.47075929       0.23556102 -1.288368298    0.043402567 -0.222383394
## [1382,]   -0.87280483       1.68759068 -0.929027480   -0.524002270 -0.286124619
## [1383,]   -0.18358391       0.40310291 -0.261680247   -0.311225456 -0.158642169
## [1384,]   -0.18358391       0.40310291 -0.261680247   -0.311225456 -0.158642169
## [1385,]   -0.70049960       1.26873597 -0.621021065   -0.524002270  0.415028855
## [1386,]   -0.18358391       1.57589609 -0.107677039    0.610807403 -0.243630469
## [1387,]   -0.52819437       0.62649208 -1.031696285   -0.524002270  0.266299330
## [1388,]   -0.52819437       0.62649208 -1.031696285   -0.524002270  0.266299330
## [1389,]   -0.98767498       0.62649208  0.200329376    2.525798726 -0.094900944
## [1390,]   -0.93023990      -0.26706463 -1.288368298   -0.240299852 -0.158642169
## [1391,]   -1.33228544      -0.21121733 -1.391037103   -0.169374247 -0.413607068
## [1392,]   -0.18358391       0.62649208 -0.261680247   -0.098448642  0.138816881
## [1393,]   -0.70049960       0.51479750 -1.083030687   -0.878630293 -0.371112918
## [1394,]   -0.18358391      -0.04367545 -0.107677039   -0.382151061 -0.201136319
## [1395,]   -1.10254513       0.23556102 -0.672355467    0.965435426 -0.371112918
## [1396,]    0.16102655       0.87780491 -0.877693077   -0.665853479  0.096322731
## [1397,]    0.21846162       0.82195761 -0.877693077   -0.665853479  0.053828581
## [1398,]   -0.58562945       0.34725561 -0.056342637   -0.382151061 -0.158642169
## [1399,]   -0.75793468       0.40310291 -0.775024272   -0.240299852 -0.094900944
## [1400,]   -0.64306452       0.79403397 -1.391037103   -0.240299852 -0.413607068
## [1401,]   -0.24101899       0.90572856 -0.313014650   -0.311225456 -0.158642169
## [1402,]   -0.24101899       0.90572856 -0.313014650   -0.311225456 -0.158642169
## [1403,]   -0.41332422      -1.27231592  0.765007803   -0.382151061 -0.753560268
## [1404,]   -0.64306452      -1.10477404  0.302998181   -0.594927874 -0.562336593
## [1405,]   -0.18358391      -0.15537004  0.611004596    0.043402567 -0.116148019
## [1406,]   -0.35588914      -1.38401051  0.148994973   -0.382151061 -0.541089518
## [1407,]   -0.06871376      -1.60739969  0.354332583    1.816542681 -0.541089518
## [1408,]   -1.33228544      -0.09952274 -1.391037103   -0.311225456 -0.498595368
## [1409,]   -0.12614884      -1.32816322  0.457001388   -0.240299852 -0.838548568
## [1410,]   -1.33228544      -0.09952274 -1.391037103   -0.311225456 -0.498595368
## [1411,]   -0.98767498       2.41360550 -1.391037103   -0.524002270 -0.116148019
## [1412,]   -1.10254513      -0.32291192  0.662338998   -0.098448642 -0.349865844
## [1413,]   -0.06871376      -1.60739969  0.354332583    1.816542681 -0.541089518
## [1414,]    0.90768254       0.23556102 -0.107677039   -0.382151061  0.351287630
## [1415,]    0.96511762      -1.16062133  1.637692646   -0.240299852 -0.222383394
## [1416,]   -1.21741529       0.29140832 -1.391037103   -0.665853479 -0.477348293
## [1417,]    0.96511762      -1.16062133  1.637692646   -0.240299852 -0.222383394
## [1418,]   -0.58562945      -1.04892675  0.302998181   -0.027523038 -0.498595368
## [1419,]   -0.29845406       0.01217185 -1.339702700   -0.665853479 -0.222383394
## [1420,]   -0.35588914       0.62649208 -0.313014650   -0.240299852 -0.222383394
## [1421,]   -0.29845406       0.01217185 -1.339702700   -0.665853479 -0.222383394
## [1422,]   -0.47075929      -0.71384298 -0.467017857   -0.665853479 -0.179889244
## [1423,]   -0.75793468       0.06801914 -1.391037103   -0.311225456 -0.179889244
## [1424,]   -1.10254513       0.01217185 -0.929027480    0.965435426  0.754982055
## [1425,]   -0.01127868      -1.49570510  0.508335791   -0.807704688 -0.243630469
## [1426,]   -0.01127868      -1.49570510  0.508335791   -0.807704688 -0.243630469
## [1427,]   -0.35588914      -1.66324698  0.508335791   -0.524002270 -0.881042718
## [1428,]   -0.41332422      -0.65799569  0.302998181   -0.027523038 -0.201136319
## [1429,]   -0.29845406       0.62649208 -1.391037103   -0.453076665 -0.328618769
## [1430,]   -0.24101899      -1.94248346  0.662338998   -0.240299852 -0.817301493
## [1431,]   -0.52819437      -0.65799569 -0.159011442   -0.524002270 -0.456101218
## [1432,]   -0.41332422      -0.54630110  0.200329376   -0.311225456 -0.392359993
## [1433,]   -1.38972052      -0.49045380 -1.391037103   -0.665853479 -0.966031017
## [1434,]   -1.27485036      -0.71384298 -0.569686662   -0.524002270 -0.392359993
## [1435,]    1.07998777       0.06801914  0.508335791    9.121879950  2.688465876
## [1436,]    1.07998777       0.06801914  0.508335791    9.121879950  2.688465876
## [1437,]    0.96511762      -0.82553757  0.559670193   -0.665853479  1.732347503
## [1438,]   -0.87280483       2.16229268  0.097660571    1.603765867 -0.371112918
## [1439,]   -0.75793468       0.34725561 -1.391037103   -0.594927874 -0.753560268
## [1440,]   -0.58562945       0.79403397 -1.288368298   -0.240299852 -0.328618769
## [1441,]   -0.64306452      -0.88138486  0.251663778   -0.382151061 -0.541089518
## [1442,]   -0.52819437       1.43627785 -0.415683455    1.887468285  0.138816881
## [1443,]   -0.81536975       0.57064479 -1.288368298   -0.453076665 -0.201136319
## [1444,]   -0.81536975       0.29140832 -0.364349052   -0.559465072 -0.626077818
## [1445,]   -0.58562945       0.79403397 -1.288368298   -0.240299852 -0.328618769
## [1446,]   -0.52819437       1.43627785 -0.415683455    1.887468285  0.138816881
## [1447,]   -0.81536975       0.57064479 -1.288368298   -0.453076665 -0.201136319
## [1448,]   -0.87280483       0.79403397 -1.391037103   -0.453076665 -0.158642169
## [1449,]   -0.81536975       0.29140832 -1.339702700   -0.453076665 -0.158642169
## [1450,]   -0.64306452      -0.82553757  0.200329376   -0.382151061 -0.668571968
## [1451,]   -0.64306452      -0.88138486  0.251663778   -0.382151061 -0.541089518
## [1452,]   -0.29845406      -1.16062133  0.867676609    0.114328171  0.351287630
## [1453,]   -0.98767498       0.29140832 -1.288368298   -0.382151061 -0.541089518
## [1454,]   -0.41332422      -0.21121733  0.302998181   -0.453076665 -0.286124619
## [1455,]    1.94151391      -0.43460651  1.843030257   -0.240299852 -0.307371694
## [1456,]   -1.04511006       2.07852174 -1.391037103   -0.665853479 -0.753560268
## [1457,]   -1.33228544       0.06801914 -1.083030687   -0.524002270 -0.796054418
## [1458,]   -0.41332422      -0.21121733  0.302998181   -0.453076665 -0.286124619
## [1459,]    0.04615639      -1.32816322  0.662338998   -0.594927874 -0.434854143
## [1460,]   -0.24101899      -1.83078887  0.405666986   -0.594927874 -0.711066118
## [1461,]   -1.10254513      -0.60214839 -0.929027480   -0.169374247 -0.711066118
## [1462,]   -1.21741529       1.43627785 -1.391037103   -0.311225456 -0.583583668
## [1463,]   -0.87280483       0.62649208 -1.237033895   -0.169374247 -0.264877544
## [1464,]   -0.81536975       0.57064479 -1.339702700   -0.098448642 -0.243630469
## [1465,]   -0.87280483       0.34725561 -0.877693077   -0.594927874 -0.519842443
## [1466,]   -0.87280483       0.34725561 -0.877693077   -0.594927874 -0.519842443
## [1467,]   -0.58562945      -0.26706463  0.251663778   -0.311225456 -0.541089518
## [1468,]   -0.93023990       2.86038386 -0.980361882   -0.169374247 -0.434854143
## [1469,]   -0.58562945      -0.26706463  0.251663778   -0.311225456 -0.541089518
## [1470,]   -0.58562945       2.52530009 -1.134365090   -0.311225456 -0.562336593
## [1471,]    0.96511762       0.90572856 -0.826358675   -0.807704688 -0.073653869
## [1472,]   -0.93023990       0.96157585 -0.980361882    0.859047019 -0.434854143
## [1473,]   -0.41332422      -0.99307945  1.689027049    0.043402567 -0.307371694
## [1474,]   -1.27485036       0.40310291 -0.980361882   -0.524002270 -0.349865844
## [1475,]    0.90768254      -0.15537004  1.175683024    7.987070277  2.497242202
## [1476,]   -1.73433097      -0.32291192 -0.826358675   -0.240299852 -0.838548568
## [1477,]    0.90768254      -0.15537004  1.175683024    7.987070277  2.497242202
## [1478,]   -1.73433097      -0.32291192 -0.826358675   -0.240299852 -0.838548568
## [1479,]   -0.70049960       1.93890350 -1.134365090    2.242096308 -0.116148019
## [1480,]   -0.06871376      -1.38401051  1.689027049    0.327104985  0.351287630
## [1481,]   -1.56202574       0.51479750 -1.237033895   -0.736779083 -0.158642169
## [1482,]   -0.06871376      -1.38401051  1.689027049    0.327104985  0.351287630
## [1483,]   -0.64306452       0.29140832  1.381020634   -0.311225456  0.563758380
## [1484,]   -0.12614884      -1.10477404  0.867676609   -0.736779083 -0.966031017
## [1485,]   -0.87280483       2.13436903 -1.083030687   -0.382151061 -0.583583668
## [1486,]   -0.75793468       0.71026303 -0.569686662   -0.311225456 -0.286124619
## [1487,]   -0.87280483       0.84988126 -0.313014650   -0.311225456 -0.371112918
## [1488,]   -1.33228544       0.62649208 -1.134365090   -0.453076665 -0.456101218
## [1489,]   -1.56202574       0.06801914 -1.185699492   -0.594927874 -0.817301493
## [1490,]   -1.21741529       0.23556102 -0.877693077   -0.311225456 -0.838548568
## [1491,]   -0.70049960      -1.71909428  1.124348621   -0.524002270 -1.029772242
## [1492,]   -1.56202574       0.06801914 -1.185699492   -0.594927874 -0.817301493
## [1493,]   -1.21741529       0.68233938 -1.083030687   -0.665853479 -0.796054418
## [1494,]   -0.35588914       0.06801914 -0.056342637   -0.453076665  0.032581506
## [1495,]   -1.10254513      -1.21646863 -0.929027480   -0.807704688 -0.456101218
## [1496,]   -0.75793468      -0.54630110 -1.288368298   -0.453076665 -0.158642169
## [1497,]   -0.35588914       0.06801914 -0.056342637   -0.453076665  0.032581506
## [1498,]   -0.81536975       1.18496503 -1.237033895   -0.169374247 -0.711066118
## [1499,]   -0.98767498       2.05059809 -1.185699492   -0.169374247 -0.413607068
## [1500,]   -0.81536975       1.18496503 -1.237033895   -0.169374247 -0.711066118
## [1501,]   -0.47075929       1.10119409 -1.185699492   -0.736779083 -0.243630469
## [1502,]   -0.29845406       1.63174338  0.097660571    1.249137844 -0.094900944
## [1503,]   -0.58562945       0.31933196 -0.467017857   -0.098448642 -0.201136319
## [1504,]   -1.21741529      -0.49045380  0.611004596   -0.027523038 -0.222383394
## [1505,]   -0.47075929      -0.82553757  1.535023841   -0.169374247  0.393781780
## [1506,]   -0.93023990       1.29665962 -1.288368298   -0.524002270 -0.201136319
## [1507,]   -0.87280483       1.57589609 -1.134365090   -0.382151061 -0.371112918
## [1508,]   -0.47075929      -0.82553757  1.535023841   -0.169374247  0.393781780
## [1509,]   -0.70049960      -1.43985781  1.689027049   -0.311225456 -0.286124619
## [1510,]   -0.24101899      -1.94248346  0.662338998   -0.524002270 -0.541089518
## [1511,]   -1.10254513      -0.93723216 -0.313014650   -0.240299852 -0.859795643
## [1512,]   -0.70049960       0.90572856 -1.185699492   -0.311225456 -0.413607068
## [1513,]   -1.10254513       1.46420150 -1.185699492   -0.240299852 -0.562336593
## [1514,]   -1.10254513       0.17971373 -0.621021065   -0.524002270 -0.201136319
## [1515,]   -0.81536975       1.74343797 -0.313014650    1.107286635 -0.286124619
## [1516,]   -0.81536975       1.74343797 -0.313014650    1.107286635 -0.286124619
## [1517,]   -1.27485036      -1.16062133 -0.107677039   -0.169374247 -0.349865844
## [1518,]   -1.04511006       0.01217185 -1.083030687   -0.382151061 -0.519842443
## [1519,]   -0.52819437      -0.32291192  0.970345414   -0.240299852  0.563758380
## [1520,]   -0.98767498       0.96157585 -0.980361882    0.043402567  0.393781780
## [1521,]   -1.04511006       0.01217185 -1.083030687   -0.382151061 -0.519842443
## [1522,]   -0.81536975      -0.26706463 -0.364349052   -0.453076665 -0.116148019
## [1523,]   -1.27485036      -1.16062133 -0.107677039   -0.169374247 -0.349865844
## [1524,]   -0.87280483      -0.26706463 -0.107677039   -0.382151061 -0.243630469
## [1525,]   -1.33228544      -0.60214839 -0.415683455   -0.382151061 -0.264877544
## [1526,]   -0.93023990      -0.26706463 -0.980361882   -0.311225456 -0.498595368
## [1527,]   -0.87280483      -0.32291192 -0.980361882   -0.240299852 -0.498595368
## [1528,]   -0.70049960       0.01217185 -1.031696285   -0.594927874 -0.349865844
## [1529,]   -0.24101899      -1.32816322  1.124348621   -0.240299852  0.181311031
## [1530,]   -0.70049960       0.90572856 -0.980361882   -0.311225456 -0.519842443
## [1531,]   -0.98767498      -0.49045380 -0.929027480   -0.240299852 -0.519842443
## [1532,]   -1.27485036       0.98949950 -0.877693077    0.185253776 -0.137395094
## [1533,]   -0.64306452       0.01217185 -0.723689870   -0.382151061 -0.626077818
## [1534,]   -0.18358391      -0.76969027  0.148994973   -0.453076665 -0.286124619
## [1535,]   -0.98767498       0.17971373 -0.672355467   -0.098448642 -0.498595368
## [1536,]   -0.75793468       0.12386643 -0.723689870   -0.240299852 -0.264877544
## [1537,]   -1.27485036       0.01217185 -0.980361882   -0.453076665 -0.222383394
## [1538,]   -1.67689590       0.29140832 -0.980361882   -0.453076665 -0.604830743
## [1539,]   -1.21741529       0.62649208 -0.929027480   -0.027523038 -0.137395094
## [1540,]   -0.64306452      -0.76969027  0.251663778   -0.524002270 -0.477348293
## [1541,]   -1.21741529      -0.04367545 -0.980361882    1.320063449 -0.349865844
## [1542,]   -0.52819437      -1.55155239  0.097660571   -0.240299852 -0.711066118
## [1543,]   -0.93023990       1.82720891 -1.288368298   -0.453076665 -0.498595368
## [1544,]    1.59690346      -0.49045380  0.765007803   -0.240299852 -0.498595368
## [1545,]    0.04615639      -0.88138486  0.816342206   -0.169374247 -0.519842443
## [1546,]   -1.04511006       0.57064479  0.302998181   -0.524002270 -0.604830743
## [1547,]   -0.75793468       0.23556102 -1.288368298   -0.382151061 -0.328618769
## [1548,]   -1.15998021       0.40310291 -0.877693077   -0.665853479 -0.838548568
## [1549,]    1.65433853      -0.71384298  1.175683024   -0.382151061  0.245052255
## [1550,]   -0.52819437      -0.93723216  0.148994973   -0.524002270 -0.286124619
## [1551,]   -0.70049960       0.84988126 -1.391037103   -0.169374247 -0.009912644
## [1552,]   -0.70049960       0.79403397 -1.391037103   -0.169374247 -0.094900944
## [1553,]   -1.15998021       0.84988126 -1.339702700    0.823584217  0.330040555
## [1554,]   -0.58562945       1.15704138 -1.391037103   -0.240299852 -0.158642169
## [1555,]   -0.98767498       1.82720891 -1.288368298   -0.098448642 -0.541089518
## [1556,]   -0.75793468       0.17971373 -0.518352260   -0.594927874 -0.477348293
## [1557,]   -0.98767498       1.96682715 -1.185699492   -0.240299852 -0.456101218
## [1558,]   -0.98767498       1.82720891 -1.288368298   -0.098448642 -0.541089518
## [1559,]   -0.81536975       0.57064479  0.302998181    2.951352353  3.134654451
## [1560,]   -0.29845406       0.40310291 -0.056342637   -0.382151061 -0.158642169
## [1561,]   -0.29845406       0.40310291 -0.056342637   -0.382151061 -0.158642169
## [1562,]   -0.29845406       0.40310291 -0.056342637   -0.382151061 -0.158642169
## [1563,]   -0.64306452       0.93365220 -0.723689870   -0.382151061 -0.243630469
## [1564,]   -0.64306452       0.93365220 -0.723689870   -0.382151061 -0.243630469
## [1565,]   -0.64306452       0.93365220 -0.723689870   -0.382151061 -0.243630469
## [1566,]   -0.93023990       0.79403397 -1.288368298   -0.453076665 -0.562336593
## [1567,]   -0.93023990      -2.05417804  1.894364659   -0.311225456 -0.604830743
## [1568,]   -0.64306452       0.93365220 -0.723689870   -0.382151061 -0.243630469
## [1569,]   -0.75793468       0.17971373 -0.723689870   -0.665853479 -0.222383394
## [1570,]   -1.21741529      -0.09952274 -0.672355467   -0.453076665 -0.668571968
## [1571,]   -1.10254513      -0.93723216  1.329686231   -0.240299852  3.028419076
## [1572,]   -1.10254513      -0.82553757 -0.672355467   -0.240299852 -1.051019317
## [1573,]   -0.58562945       0.90572856  0.251663778   -0.240299852 -0.392359993
## [1574,]   -1.33228544       0.29140832 -0.364349052   -0.098448642 -0.264877544
## [1575,]   -1.56202574      -1.21646863  2.613046294    8.057995881 -0.286124619
## [1576,]   -0.47075929      -0.04367545  0.662338998   -0.240299852 -0.583583668
## [1577,]   -0.18358391      -1.27231592  1.843030257   -0.665853479 -0.137395094
## [1578,]   -1.21741529       0.96157585 -0.621021065    1.816542681 -0.243630469
## [1579,]   -0.87280483       0.79403397 -0.621021065   -0.524002270  0.648746680
## [1580,]   -1.21741529       0.17971373 -0.929027480   -0.594927874 -0.732313193
## [1581,]   -0.52819437      -0.99307945  0.302998181   -0.098448642 -0.413607068
## [1582,]   -1.21741529       0.17971373 -0.929027480   -0.594927874 -0.732313193
## [1583,]   -1.27485036       1.04534679 -0.877693077    0.043402567 -0.732313193
## [1584,]   -1.21741529      -0.37875921  0.097660571   -0.311225456 -0.286124619
## [1585,]   -0.93023990      -1.16062133  0.867676609   -0.098448642 -0.562336593
## [1586,]   -0.64306452      -0.76969027  0.867676609    0.043402567 -0.456101218
## [1587,]   -0.47075929      -1.21646863  0.713673401   -0.098448642 -0.477348293
## [1588,]   -1.44715559       0.45895020 -0.826358675   -0.524002270 -0.456101218
## [1589,]   -0.64306452       0.73818667  0.302998181   -0.027523038 -0.413607068
## [1590,]   -0.98767498       1.10119409 -0.364349052    3.731534004 -0.307371694
## [1591,]   -1.15998021       0.12386643 -0.621021065   -0.524002270 -0.222383394
## [1592,]   -1.67689590       1.18496503 -0.929027480   -0.594927874  0.032581506
## [1593,]   -1.15998021      -0.09952274 -0.723689870   -0.169374247 -0.243630469
## [1594,]   -0.87280483       0.51479750 -0.980361882   -0.453076665 -0.413607068
## [1595,]   -1.21741529       0.40310291 -0.980361882   -0.382151061  0.053828581
## [1596,]   -1.38972052       0.12386643 -0.877693077   -0.240299852 -0.541089518
## [1597,]   -1.15998021      -0.09952274 -0.723689870   -0.169374247 -0.243630469
## [1598,]   -1.38972052       0.65441573 -0.775024272   -0.382151061 -0.264877544
## [1599,]   -1.33228544      -1.21646863  1.021679816    0.752658612 -0.434854143
##         free sulfur dioxide total sulfur dioxide      density           pH
##    [1,]         -0.46604672          -0.37901412  0.558099865  1.288239901
##    [2,]          0.87236532           0.62416796  0.028251929 -0.719708142
##    [3,]         -0.08364328           0.22897502  0.134221517 -0.331073037
##    [4,]          0.10755844           0.41137176  0.664069453 -0.978798212
##    [5,]         -0.46604672          -0.37901412  0.558099865  1.288239901
##    [6,]         -0.27484500          -0.19661738  0.558099865  1.288239901
##    [7,]         -0.08364328           0.38097231 -0.183687245 -0.071982967
##    [8,]         -0.08364328          -0.77420706 -1.137413530  0.510969691
##    [9,]         -0.65724844          -0.86540543  0.028251929  0.316652138
##   [10,]          0.10755844           1.68814895  0.558099865  0.251879621
##   [11,]         -0.08364328           0.56336905 -0.448611213 -0.201528002
##   [12,]          0.10755844           1.68814895  0.558099865  0.251879621
##   [13,]          0.01195758           0.38097231 -1.296367911  1.741647523
##   [14,]         -0.65724844          -0.53101140  0.346160691 -0.331073037
##   [15,]          3.45358853           2.99532560  0.981978214 -0.978798212
##   [16,]          3.35798767           3.08652397  0.981978214 -0.914025694
##   [17,]          1.82837392           1.71854841  0.081236723 -0.071982967
##   [18,]          0.01195758           0.28977394  0.028251929 -1.302660799
##   [19,]         -0.94405102          -0.53101140  0.346160691  0.446197173
##   [20,]          0.10755844           0.28977394  0.081236723 -1.756068422
##   [21,]          1.25476876           0.41137176  0.028251929  0.510969691
##   [22,]          0.68116360           0.74576579  0.770039040  1.353012418
##   [23,]         -0.56164758          -0.28781575 -0.077717658 -0.914025694
##   [24,]         -0.65724844           0.62416796  0.028251929 -0.914025694
##   [25,]          0.48996188          -0.19661738  0.028251929  0.770059761
##   [26,]         -0.46604672          -0.71340814 -0.660550387  0.187107103
##   [27,]         -1.13525274          -1.07820163 -0.289656832 -0.201528002
##   [28,]         -0.56164758          -0.28781575 -0.077717658 -0.914025694
##   [29,]         -0.17924414          -0.34861466  0.240191104  1.029149831
##   [30,]         -0.75284930          -0.92620434 -0.183687245  0.446197173
##   [31,]          0.10755844           1.08015982 -0.501596007  0.251879621
##   [32,]          0.58556274          -0.28781575 -0.077717658  0.964377313
##   [33,]         -0.08364328           2.02254298 -0.077717658 -0.914025694
##   [34,]          2.30637822           1.11055927  1.352871769  0.899604796
##   [35,]         -0.27484500           0.10737719 -0.554580800  0.446197173
##   [36,]         -1.03965188          -0.86540543  0.981978214  0.575742208
##   [37,]         -1.23085360          -0.95660380  0.399145485  0.705287243
##   [38,]         -0.27484500          -0.50061195  0.028251929 -0.525390589
##   [39,]         -0.84845016          -0.83500597 -1.455322291  1.223467383
##   [40,]         -0.37044586           1.23215710  0.558099865  0.122334586
##   [41,]         -0.37044586           1.23215710  0.558099865  0.122334586
##   [42,]          0.10755844          -0.01422063  0.452130278 -0.331073037
##   [43,]         -0.75284930          -0.98700326  0.028251929 -0.654935624
##   [44,]         -0.65724844          -0.71340814  0.028251929 -0.071982967
##   [45,]         -1.03965188          -1.07820163 -0.289656832  1.093922348
##   [46,]         -0.75284930           0.56336905 -1.773231053  3.814368084
##   [47,]          0.58556274           2.05294244  0.134221517 -0.395845554
##   [48,]         -0.37044586          -0.28781575  0.081236723 -0.395845554
##   [49,]         -1.03965188          -1.04780217 -0.501596007  0.187107103
##   [50,]         -0.37044586           1.50575221 -0.713535181  0.057562068
##   [51,]         -1.13525274          -0.71340814  0.187206310 -1.043570729
##   [52,]         -0.75284930          -0.95660380 -0.607565594  0.575742208
##   [53,]         -0.94405102          -0.98700326 -0.660550387  0.510969691
##   [54,]          1.35036962           2.20493972  0.134221517 -0.719708142
##   [55,]          1.63717220           0.80656470 -0.660550387 -0.914025694
##   [56,]          0.87236532          -0.04462009  0.558099865  0.187107103
##   [57,]         -1.13525274          -1.10860108  0.187206310 -1.756068422
##   [58,]          3.26238681           1.93134461  0.823023833 -0.331073037
##   [59,]          0.10755844           0.22897502  0.399145485  0.770059761
##   [60,]         -0.65724844          -0.01422063 -0.289656832  0.640514726
##   [61,]          0.29876016           0.16817611  0.664069453  0.834832278
##   [62,]          0.39436102           1.99214352  0.028251929 -0.654935624
##   [63,]         -0.37044586          -0.34861466  0.028251929  0.446197173
##   [64,]         -0.27484500           0.22897502 -0.077717658  0.510969691
##   [65,]         -1.13525274          -1.07820163 -0.289656832  0.640514726
##   [66,]         -1.13525274          -1.07820163 -0.289656832  0.640514726
##   [67,]         -0.46604672          -0.22701683  0.028251929  0.705287243
##   [68,]         -0.94405102          -0.95660380 -0.289656832  0.834832278
##   [69,]          1.06356704           0.56336905  0.081236723 -0.201528002
##   [70,]         -0.75284930          -0.83500597 -0.289656832  0.187107103
##   [71,]         -0.08364328          -0.59181032 -0.024732864  0.057562068
##   [72,]          0.10755844           1.50575221 -0.289656832  0.057562068
##   [73,]          0.20315930           1.44495330 -0.342641626 -0.007210449
##   [74,]         -0.46604672          -0.10541900  0.452130278 -0.007210449
##   [75,]          1.15916790           1.11055927  0.876008627 -0.201528002
##   [76,]         -0.65724844          -0.13581846  0.981978214  1.482557453
##   [77,]         -0.65724844          -0.13581846  0.981978214  1.482557453
##   [78,]         -0.17924414          -0.50061195 -0.077717658  1.353012418
##   [79,]         -0.37044586           1.01936090 -0.501596007  0.446197173
##   [80,]          1.06356704           2.20493972  0.240191104 -0.978798212
##   [81,]         -1.23085360          -0.95660380 -0.501596007  0.640514726
##   [82,]          0.58556274           0.62416796  0.346160691 -1.173115764
##   [83,]          0.48996188           0.80656470  0.134221517  0.316652138
##   [84,]          0.01195758           0.13777665  0.081236723 -0.978798212
##   [85,]          0.20315930           0.44177122 -0.448611213  0.834832278
##   [86,]          0.29876016          -0.19661738 -0.342641626  0.640514726
##   [87,]          0.39436102           2.72173049  0.240191104 -2.468566114
##   [88,]         -0.65724844          -0.47021249 -0.077717658  0.510969691
##   [89,]          1.73277306           2.38733646  0.558099865 -1.108343247
##   [90,]         -0.75284930          -0.68300869  0.558099865  1.093922348
##   [91,]          2.49757994           2.84332832 -0.183687245 -0.525390589
##   [92,]          0.39436102           2.72173049  0.240191104 -2.468566114
##   [93,]          0.29876016           2.63053212  0.240191104 -2.468566114
##   [94,]         -0.65724844          -0.47021249 -0.077717658  0.510969691
##   [95,]          2.40197908           1.17135819 -1.561291879  2.842780321
##   [96,]          0.10755844           1.80974678 -1.879200640  3.490505496
##   [97,]         -0.75284930          -0.71340814 -0.130702451  0.899604796
##   [98,]         -1.23085360          -0.74380760 -0.236672039 -0.395845554
##   [99,]         -1.03965188          -1.10860108 -0.024732864  0.510969691
##  [100,]         -0.27484500          -0.34861466  0.240191104 -0.071982967
##  [101,]         -0.46604672           0.10737719  0.240191104  0.575742208
##  [102,]         -0.75284930          -0.74380760 -0.448611213 -0.007210449
##  [103,]         -0.27484500          -0.34861466  0.240191104 -0.071982967
##  [104,]         -0.37044586           0.56336905 -0.024732864 -0.136755484
##  [105,]         -1.03965188          -0.31821520 -0.395626419  0.122334586
##  [106,]         -0.37044586           0.56336905 -0.024732864 -0.136755484
##  [107,]          0.20315930           0.68496688  0.293175897 -1.496978352
##  [108,]         -0.08364328           0.53296959  0.081236723  0.964377313
##  [109,]          0.20315930           1.01936090  0.452130278  0.381424656
##  [110,]          2.01957564           3.23852126  0.081236723 -0.654935624
##  [111,]         -0.37044586           0.01617882 -0.183687245 -0.784480659
##  [112,]         -0.46604672           1.87054570 -0.183687245 -1.043570729
##  [113,]         -0.17924414           1.96174407 -0.183687245 -1.043570729
##  [114,]          0.58556274          -0.01422063  1.087947801  0.057562068
##  [115,]         -0.37044586           0.01617882 -0.183687245 -0.784480659
##  [116,]         -0.27484500           0.47217068 -0.077717658 -1.561750869
##  [117,]         -0.46604672          -0.19661738  0.558099865  0.510969691
##  [118,]         -0.84845016          -0.56141086  0.134221517  0.381424656
##  [119,]         -0.17924414           0.28977394 -0.289656832 -0.654935624
##  [120,]          0.58556274           1.29295601 -0.448611213  0.187107103
##  [121,]         -0.56164758           1.29295601 -0.289656832 -0.071982967
##  [122,]         -0.17924414           0.28977394 -0.289656832 -0.654935624
##  [123,]         -1.23085360          -1.01740271  0.664069453  1.158694866
##  [124,]         -0.46604672          -0.37901412  0.452130278  0.834832278
##  [125,]          0.48996188           1.68814895 -0.395626419  0.510969691
##  [126,]          1.06356704           1.32335547  0.876008627 -0.978798212
##  [127,]         -1.23085360          -1.04780217 -0.183687245  1.417784936
##  [128,]         -1.23085360          -1.04780217 -0.183687245  1.482557453
##  [129,]         -1.23085360          -0.92620434 -0.289656832  0.705287243
##  [130,]         -0.94405102          -0.83500597 -0.660550387  0.705287243
##  [131,]          1.35036962           2.66093158  0.028251929 -0.460618072
##  [132,]          0.10755844           1.59695058 -1.614276672  2.065510111
##  [133,]          0.10755844           1.59695058 -1.614276672  2.065510111
##  [134,]          0.10755844          -0.62220977 -0.819504768  0.575742208
##  [135,]         -0.27484500          -0.53101140 -0.448611213 -0.590163107
##  [136,]          0.01195758           0.50257013 -0.130702451 -0.784480659
##  [137,]         -0.56164758           0.16817611  0.028251929 -0.525390589
##  [138,]         -0.27484500          -0.04462009  0.240191104  1.093922348
##  [139,]         -0.08364328           1.77934733 -0.289656832  0.122334586
##  [140,]          0.10755844           1.87054570 -0.289656832  0.057562068
##  [141,]          0.01195758           0.50257013 -0.130702451 -0.784480659
##  [142,]         -0.56164758           0.16817611  0.028251929 -0.525390589
##  [143,]          1.06356704           0.50257013 -2.726957338  2.389372698
##  [144,]         -1.23085360          -0.80460651 -0.713535181  0.187107103
##  [145,]          1.06356704           0.50257013 -2.726957338  2.389372698
##  [146,]          1.54157134           2.87372778  0.028251929 -0.914025694
##  [147,]          0.48996188           1.44495330 -1.243383117  1.482557453
##  [148,]         -0.56164758           1.26255656  0.028251929 -1.302660799
##  [149,]         -0.37044586          -0.50061195 -0.448611213  0.705287243
##  [150,]         -0.46604672          -0.10541900  0.399145485  1.417784936
##  [151,]         -1.03965188          -1.07820163 -0.501596007  0.122334586
##  [152,]          1.54157134           0.68496688  1.511826150 -3.699243947
##  [153,]          0.87236532           1.59695058 -0.925474355  0.251879621
##  [154,]          0.87236532           1.59695058 -0.925474355  0.251879621
##  [155,]          1.25476876           2.50893429  0.293175897  0.705287243
##  [156,]          1.15916790           2.47853484  0.293175897  0.705287243
##  [157,]          1.25476876           2.50893429  0.293175897  0.705287243
##  [158,]          1.15916790           2.47853484  0.293175897  0.705287243
##  [159,]         -0.37044586          -0.74380760  0.081236723  1.093922348
##  [160,]          0.20315930           1.20175764  0.028251929  1.806420041
##  [161,]         -0.84845016          -0.80460651 -0.448611213 -0.719708142
##  [162,]         -0.65724844          -0.80460651 -0.130702451 -0.914025694
##  [163,]          0.10755844          -0.47021249 -0.183687245  0.122334586
##  [164,]          1.92397478           2.26573864  0.770039040  0.381424656
##  [165,]          1.82837392           2.26573864  0.717054246  0.381424656
##  [166,]         -0.17924414           1.50575221 -0.342641626 -0.784480659
##  [167,]          0.20315930           1.65774950 -0.607565594  0.187107103
##  [168,]          0.10755844          -0.13581846 -0.607565594  0.381424656
##  [169,]         -0.46604672          -0.07501955 -0.766519975  1.029149831
##  [170,]         -0.08364328           0.50257013 -0.183687245 -2.015158492
##  [171,]         -1.13525274          -1.16940000  0.240191104  0.316652138
##  [172,]         -0.94405102          -0.86540543  0.240191104 -0.136755484
##  [173,]         -0.94405102          -0.86540543  0.240191104 -0.136755484
##  [174,]          0.77676446          -0.13581846 -0.342641626  0.705287243
##  [175,]         -0.84845016          -0.34861466 -0.342641626  0.122334586
##  [176,]          0.29876016           0.07697774 -0.501596007  0.251879621
##  [177,]         -0.84845016          -0.34861466 -0.342641626  0.122334586
##  [178,]         -0.75284930          -0.25741629  0.240191104  1.741647523
##  [179,]         -0.84845016          -0.80460651  0.081236723  1.093922348
##  [180,]         -0.56164758          -0.13581846  0.081236723 -0.784480659
##  [181,]         -0.56164758          -0.13581846  0.081236723 -0.784480659
##  [182,]          0.68116360           1.93134461  0.240191104 -1.237888282
##  [183,]          0.01195758          -0.13581846  0.240191104  0.834832278
##  [184,]         -0.46604672           0.56336905  0.187206310  1.482557453
##  [185,]         -0.75284930           0.47217068  0.134221517  1.353012418
##  [186,]          0.96796618           1.17135819  0.187206310 -0.331073037
##  [187,]         -0.17924414           0.62416796  0.240191104  0.187107103
##  [188,]         -0.65724844          -0.62220977  0.452130278  0.510969691
##  [189,]         -0.08364328           2.93452669  0.028251929 -0.719708142
##  [190,]          0.10755844           2.96492615  0.028251929 -0.719708142
##  [191,]          0.48996188           2.44813538  0.452130278 -0.525390589
##  [192,]          0.48996188           0.07697774  0.346160691  1.676875006
##  [193,]          0.01195758           2.41773592  0.081236723 -0.201528002
##  [194,]         -0.84845016          -0.56141086 -0.183687245 -0.201528002
##  [195,]         -0.84845016          -0.56141086 -0.183687245 -0.201528002
##  [196,]          0.77676446           2.23533918  0.028251929 -0.395845554
##  [197,]         -0.08364328           0.25937448  0.028251929  0.964377313
##  [198,]         -0.37044586          -0.59181032  0.717054246 -1.302660799
##  [199,]         -0.27484500           1.41455384 -2.303078989  1.676875006
##  [200,]         -0.37044586          -0.47021249 -1.031443943  1.288239901
##  [201,]         -0.65724844          -0.68300869  0.107729120 -0.590163107
##  [202,]          2.21077736           2.99532560  0.399145485 -1.756068422
##  [203,]          0.01195758           0.07697774 -0.687042784  0.316652138
##  [204,]          0.01195758          -0.22701683 -0.342641626  0.187107103
##  [205,]         -0.17924414          -0.28781575 -0.316149229  0.187107103
##  [206,]         -0.65724844          -0.56141086  1.405856563 -0.719708142
##  [207,]         -0.65724844          -0.56141086  1.405856563 -0.719708142
##  [208,]          0.96796618           2.23533918 -0.263164435 -0.136755484
##  [209,]          0.20315930           1.47535276 -0.077717658 -0.590163107
##  [210,]         -0.84845016          -0.83500597  0.664069453 -0.007210449
##  [211,]         -1.03965188          -0.83500597 -0.475103610 -0.071982967
##  [212,]         -0.56164758           0.47217068  0.054744326  0.251879621
##  [213,]         -1.03965188          -0.95660380  0.664069453 -0.654935624
##  [214,]          1.15916790           0.56336905 -0.448611213 -0.071982967
##  [215,]         -0.56164758          -0.16621792  0.346160691 -0.460618072
##  [216,]          0.96796618           2.26573864  0.346160691  0.187107103
##  [217,]         -0.27484500           0.07697774 -0.289656832 -1.108343247
##  [218,]         -0.46604672          -0.16621792 -0.024732864  0.316652138
##  [219,]         -0.56164758          -0.07501955 -0.554580800  0.510969691
##  [220,]          0.77676446           2.96492615 -0.104210055 -0.071982967
##  [221,]          0.77676446           0.35057285 -0.183687245  0.187107103
##  [222,]          0.01195758           0.77616525 -0.554580800 -1.043570729
##  [223,]         -1.03965188          -1.10860108 -0.793012371  0.705287243
##  [224,]         -0.75284930          -0.56141086  0.743546643 -0.201528002
##  [225,]         -0.08364328           0.25937448  0.372653088 -0.007210449
##  [226,]          1.25476876           0.50257013 -0.316149229  0.381424656
##  [227,]          1.06356704           1.04976036 -0.183687245 -1.756068422
##  [228,]         -0.65724844          -0.71340814  0.876008627  0.510969691
##  [229,]          1.25476876           0.50257013 -0.316149229  0.381424656
##  [230,]         -0.56164758          -0.28781575  0.054744326  0.964377313
##  [231,]          0.29876016           1.80974678 -2.144124608  1.482557453
##  [232,]         -0.37044586           0.07697774 -0.263164435  0.381424656
##  [233,]          0.20315930           0.35057285  0.664069453  0.187107103
##  [234,]         -0.56164758          -0.28781575  0.054744326  0.964377313
##  [235,]         -0.84845016          -0.28781575  0.054744326  0.057562068
##  [236,]         -0.17924414          -0.25741629  0.001759533  0.381424656
##  [237,]         -0.17924414          -0.25741629  0.001759533  0.381424656
##  [238,]         -0.08364328          -0.22701683  0.001759533  0.381424656
##  [239,]         -0.17924414          -0.25741629  0.001759533  0.381424656
##  [240,]         -0.84845016          -0.28781575  0.054744326  0.057562068
##  [241,]         -1.03965188           0.47217068  0.187206310 -2.015158492
##  [242,]         -0.94405102          -0.68300869  1.326379373 -1.108343247
##  [243,]          1.15916790           1.90094515 -0.581073197 -1.496978352
##  [244,]         -0.56164758          -0.68300869  1.750257721 -1.561750869
##  [245,]         -0.56164758          -0.68300869  1.750257721 -1.561750869
##  [246,]         -0.94405102          -0.71340814  0.823023833  1.935965076
##  [247,]          0.01195758           0.13777665  0.054744326  0.446197173
##  [248,]         -0.46604672           0.80656470 -0.236672039 -0.719708142
##  [249,]         -0.65724844          -0.22701683 -0.316149229  0.251879621
##  [250,]         -0.94405102          -0.71340814  0.823023833  1.935965076
##  [251,]          0.01195758          -0.28781575  0.928993421 -0.590163107
##  [252,]          0.01195758          -0.37901412  0.240191104  1.029149831
##  [253,]         -1.03965188          -0.77420706  0.981978214 -0.914025694
##  [254,]         -0.75284930           1.20175764 -0.448611213 -0.525390589
##  [255,]          0.01195758          -0.37901412  0.240191104  1.029149831
##  [256,]          0.10755844           2.20493972  0.001759533 -0.331073037
##  [257,]         -1.03965188          -1.01740271  0.664069453 -0.590163107
##  [258,]         -0.37044586           0.28977394  0.028251929  1.158694866
##  [259,]         -0.75284930          -0.04462009  0.028251929 -1.626523387
##  [260,]         -0.17924414          -0.40941357  1.538318547  0.316652138
##  [261,]          0.20315930          -0.04462009 -0.263164435 -0.136755484
##  [262,]         -0.37044586           0.62416796 -0.581073197  0.251879621
##  [263,]         -0.56164758          -0.34861466 -0.528088403  0.187107103
##  [264,]          0.68116360           0.07697774 -0.236672039 -0.201528002
##  [265,]         -1.03965188          -0.59181032  1.670780531 -1.496978352
##  [266,]         -0.94405102          -1.10860108  0.028251929 -0.719708142
##  [267,]          0.96796618           0.44177122  1.856227309  1.871192558
##  [268,]         -0.08364328          -0.28781575  0.293175897  0.251879621
##  [269,]         -0.84845016          -0.59181032  1.034963008  2.454145216
##  [270,]         -1.13525274          -0.71340814  1.511826150 -0.201528002
##  [271,]          1.06356704           0.44177122 -0.130702451  0.316652138
##  [272,]         -1.13525274          -0.71340814  1.511826150 -0.201528002
##  [273,]          0.10755844           0.56336905  1.379364166 -0.590163107
##  [274,]         -0.56164758          -0.25741629  0.319668294 -0.007210449
##  [275,]          1.06356704           1.44495330  1.273394579  0.446197173
##  [276,]          1.06356704           0.44177122 -0.130702451  0.316652138
##  [277,]         -0.84845016          -0.59181032  1.034963008  2.454145216
##  [278,]         -1.13525274          -0.71340814  1.511826150 -0.201528002
##  [279,]         -1.03965188          -1.01740271  0.452130278 -0.525390589
##  [280,]         -0.56164758           0.01617882  1.246902182  0.446197173
##  [281,]         -0.94405102          -0.83500597  0.981978214 -1.237888282
##  [282,]         -1.03965188          -1.10860108  0.240191104 -0.395845554
##  [283,]         -0.37044586           0.19857556  0.187206310  0.316652138
##  [284,]         -0.56164758           0.01617882  1.246902182  0.446197173
##  [285,]          1.54157134           0.74576579  1.803242515 -0.007210449
##  [286,]          1.54157134           0.74576579  1.803242515 -0.007210449
##  [287,]          0.87236532           0.07697774  1.564810944 -1.367433317
##  [288,]          1.25476876           0.19857556 -0.024732864  0.381424656
##  [289,]          0.39436102           0.07697774  0.452130278  0.187107103
##  [290,]          1.63717220           1.56655113  2.253613261 -0.719708142
##  [291,]          0.39436102           0.07697774  0.452130278  0.187107103
##  [292,]         -0.94405102          -0.86540543  0.611084659 -0.071982967
##  [293,]          0.20315930           0.04657828  1.405856563 -0.590163107
##  [294,]         -1.03965188          -0.92620434 -0.183687245  0.640514726
##  [295,]          0.10755844           0.19857556  2.465552435 -1.691295904
##  [296,]         -1.03965188          -0.59181032  1.776750118 -1.691295904
##  [297,]          0.96796618           0.71536633  0.717054246 -0.978798212
##  [298,]         -0.75284930          -0.53101140  0.955485817  2.324600181
##  [299,]         -1.03965188          -0.47021249  1.352871769  2.324600181
##  [300,]         -0.75284930          -0.40941357  0.902501024  2.389372698
##  [301,]          0.39436102          -0.07501955 -0.130702451  0.446197173
##  [302,]         -0.84845016          -0.95660380  0.293175897 -0.590163107
##  [303,]         -0.37044586          -0.56141086  1.405856563  1.288239901
##  [304,]         -1.03965188          -0.77420706 -0.395626419  0.510969691
##  [305,]         -0.37044586           1.32335547  0.293175897 -0.719708142
##  [306,]         -0.94405102          -0.65260923  1.617795737 -1.237888282
##  [307,]         -0.84845016           0.22897502 -0.077717658  0.316652138
##  [308,]         -0.94405102          -0.98700326  1.405856563 -0.784480659
##  [309,]         -1.03965188          -1.04780217  1.405856563 -0.784480659
##  [310,]         -0.65724844          -0.50061195  0.028251929  0.640514726
##  [311,]         -0.94405102          -0.65260923  1.617795737 -1.237888282
##  [312,]         -0.08364328           1.77934733 -0.395626419 -0.266300519
##  [313,]          0.29876016           1.56655113  0.743546643  0.057562068
##  [314,]          1.35036962           2.69133103  0.452130278 -0.071982967
##  [315,]          0.96796618           0.77616525 -0.157194848  0.510969691
##  [316,]          0.39436102           0.19857556 -0.289656832  0.705287243
##  [317,]          2.01957564           1.38415439  1.511826150 -0.071982967
##  [318,]          1.35036962           0.83696416  1.008470611 -0.071982967
##  [319,]          0.48996188           0.38097231  1.140932595  0.381424656
##  [320,]          1.35036962           0.83696416  1.008470611 -0.071982967
##  [321,]          0.48996188           0.38097231  1.140932595  0.381424656
##  [322,]          0.87236532           1.23215710  1.591303341 -0.460618072
##  [323,]         -0.94405102          -0.86540543  0.319668294 -0.136755484
##  [324,]          1.82837392           0.80656470  1.193917389 -0.201528002
##  [325,]         -0.27484500           0.10737719  2.518537229 -0.978798212
##  [326,]         -0.27484500           0.10737719  2.518537229 -0.978798212
##  [327,]         -0.94405102          -0.98700326  0.558099865 -1.691295904
##  [328,]         -1.03965188          -1.01740271  0.664069453 -0.201528002
##  [329,]         -0.94405102          -0.77420706  1.829734912 -0.978798212
##  [330,]         -0.84845016          -0.95660380  0.717054246 -0.849253177
##  [331,]         -0.56164758          -0.16621792  0.664069453 -0.525390589
##  [332,]         -0.56164758          -0.16621792  0.664069453 -0.525390589
##  [333,]          0.48996188           2.05294244  0.293175897 -0.590163107
##  [334,]          0.01195758          -0.07501955 -0.501596007 -1.173115764
##  [335,]          0.10755844          -0.25741629 -0.236672039  0.187107103
##  [336,]         -0.84845016          -0.77420706  1.299886976 -0.914025694
##  [337,]         -0.94405102          -0.92620434 -1.031443943  0.251879621
##  [338,]          1.25476876           0.35057285  0.346160691 -0.007210449
##  [339,]          1.15916790           1.59695058  2.147643673 -0.978798212
##  [340,]         -0.37044586          -0.53101140  1.564810944 -1.302660799
##  [341,]         -0.56164758          -0.77420706  1.723765325 -1.237888282
##  [342,]         -1.03965188          -0.86540543  0.240191104 -0.654935624
##  [343,]         -0.94405102          -0.98700326  0.770039040 -0.071982967
##  [344,]         -0.94405102          -0.98700326  0.770039040 -0.071982967
##  [345,]         -0.94405102          -0.43981303  2.041674086 -1.237888282
##  [346,]          2.30637822           0.50257013  0.611084659  1.871192558
##  [347,]          0.10755844          -0.37901412 -0.660550387  1.741647523
##  [348,]         -0.94405102          -0.95660380  0.981978214 -1.885613457
##  [349,]         -0.08364328          -0.01422063  0.611084659 -1.302660799
##  [350,]         -0.46604672          -0.56141086  1.405856563  0.316652138
##  [351,]          0.10755844          -0.37901412  1.935704499 -0.201528002
##  [352,]         -0.46604672          -0.62220977  1.405856563  0.251879621
##  [353,]         -0.75284930          -0.83500597  0.346160691 -0.266300519
##  [354,]          0.68116360           0.92816253  2.677491609 -0.849253177
##  [355,]          2.35417865           3.60331474 -2.938896512 -0.395845554
##  [356,]          0.10755844          -0.43981303 -0.660550387  1.547329971
##  [357,]          1.25476876           0.25937448  1.776750118 -0.331073037
##  [358,]         -0.37044586          -0.53101140  0.134221517 -0.460618072
##  [359,]         -0.56164758          -0.71340814  1.723765325 -1.043570729
##  [360,]         -0.56164758          -0.16621792  2.253613261 -0.914025694
##  [361,]         -0.17924414           1.04976036  0.293175897 -0.784480659
##  [362,]          0.48996188           0.10737719  0.770039040  0.381424656
##  [363,]         -0.94405102          -0.28781575  1.299886976 -1.691295904
##  [364,]         -0.94405102          -0.95660380  1.087947801 -2.079931009
##  [365,]         -0.84845016          -0.13581846  2.889430784 -1.561750869
##  [366,]         -0.84845016          -0.77420706  0.611084659 -0.331073037
##  [367,]         -0.84845016          -0.13581846  2.889430784 -1.561750869
##  [368,]         -0.46604672          -0.68300869  1.723765325 -0.978798212
##  [369,]         -0.08364328           0.86736362  1.617795737 -0.849253177
##  [370,]         -0.94405102          -0.86540543 -0.289656832 -0.719708142
##  [371,]          1.82837392           0.50257013  0.399145485  1.676875006
##  [372,]         -0.46604672          -0.65260923 -0.024732864  0.057562068
##  [373,]          0.96796618          -0.01422063 -0.024732864  0.057562068
##  [374,]         -0.37044586           0.77616525 -0.448611213 -1.691295904
##  [375,]         -0.94405102           0.01617882  2.465552435 -1.950385974
##  [376,]         -0.94405102          -0.95660380  0.876008627 -1.950385974
##  [377,]          0.29876016           0.01617882  1.882719705 -0.331073037
##  [378,]         -0.94405102          -0.86540543 -0.289656832 -0.719708142
##  [379,]         -0.94405102          -0.68300869  1.087947801 -1.302660799
##  [380,]          0.77676446           0.41137176  0.611084659 -0.007210449
##  [381,]         -0.46604672          -0.59181032  0.346160691 -0.654935624
##  [382,]          0.10755844          -0.10541900  2.465552435 -1.626523387
##  [383,]         -0.46604672          -0.59181032  0.346160691 -0.654935624
##  [384,]         -0.46604672          -0.59181032  0.346160691 -0.654935624
##  [385,]          0.68116360           0.22897502  0.664069453  0.705287243
##  [386,]         -0.46604672          -0.28781575  0.611084659  0.770059761
##  [387,]          0.68116360           0.04657828  0.717054246  0.640514726
##  [388,]          0.10755844          -0.13581846  0.240191104 -0.007210449
##  [389,]          0.68116360           0.19857556  0.717054246  0.770059761
##  [390,]          0.01195758           0.07697774  0.770039040 -0.784480659
##  [391,]         -0.37044586           1.26255656 -2.303078989  1.612102488
##  [392,]          0.10755844          -0.10541900  2.465552435 -1.626523387
##  [393,]         -0.94405102          -0.62220977  0.664069453 -0.849253177
##  [394,]         -0.27484500           1.47535276  0.134221517 -0.978798212
##  [395,]         -0.94405102          -0.65260923  1.564810944 -1.820840939
##  [396,]         -0.84845016          -0.25741629  1.935704499 -0.590163107
##  [397,]          4.98320229           2.35693701  1.405856563  1.029149831
##  [398,]         -0.27484500           0.07697774  1.087947801 -0.849253177
##  [399,]         -0.27484500           0.07697774  1.087947801 -0.849253177
##  [400,]         -0.65724844          -0.13581846 -0.236672039 -1.367433317
##  [401,]          4.98320229           2.35693701  1.405856563  1.029149831
##  [402,]          0.39436102          -0.25741629 -0.978459149 -0.136755484
##  [403,]          0.29876016           0.53296959  1.723765325 -1.367433317
##  [404,]         -0.56164758          -0.16621792  1.405856563 -1.043570729
##  [405,]         -0.08364328          -0.59181032  0.346160691 -0.331073037
##  [406,]         -0.46604672          -0.65260923 -0.077717658  0.316652138
##  [407,]         -0.65724844          -0.56141086  0.717054246 -0.460618072
##  [408,]         -0.37044586          -0.50061195  1.511826150 -0.849253177
##  [409,]         -0.94405102          -0.92620434  0.134221517 -0.784480659
##  [410,]          0.96796618           0.07697774  0.717054246 -1.691295904
##  [411,]          0.96796618           1.20175764  1.034963008  0.446197173
##  [412,]          0.68116360           0.95856199  1.034963008  0.446197173
##  [413,]         -0.08364328           0.92816253 -0.077717658 -0.266300519
##  [414,]         -0.94405102          -0.83500597  0.981978214 -0.266300519
##  [415,]          0.77676446           2.29613809  0.770039040 -0.331073037
##  [416,]          1.44597048           2.66093158  2.465552435  0.057562068
##  [417,]         -0.94405102          -0.80460651  0.134221517 -0.331073037
##  [418,]          1.73277306           2.35693701 -0.607565594  0.834832278
##  [419,]         -0.84845016          -0.80460651  1.511826150 -0.460618072
##  [420,]          1.73277306           0.16817611  0.452130278  2.000737593
##  [421,]          1.82837392           0.62416796  0.240191104 -0.201528002
##  [422,]          1.54157134           0.04657828 -0.819504768  1.353012418
##  [423,]         -0.08364328           0.41137176 -0.660550387  0.316652138
##  [424,]         -0.94405102          -0.68300869  0.558099865 -1.043570729
##  [425,]         -0.08364328           0.41137176 -0.660550387  0.316652138
##  [426,]          1.54157134           0.04657828 -0.819504768  1.353012418
##  [427,]          0.29876016           0.04657828 -0.978459149  1.158694866
##  [428,]         -0.94405102          -0.43981303  1.087947801 -0.331073037
##  [429,]         -0.65724844          -0.50061195  0.558099865 -0.460618072
##  [430,]         -0.27484500          -0.34861466  1.564810944 -1.367433317
##  [431,]         -0.94405102          -0.68300869  0.558099865 -1.043570729
##  [432,]          0.48996188           0.59376850  0.346160691 -0.395845554
##  [433,]         -0.37044586          -0.68300869 -0.501596007 -2.015158492
##  [434,]         -0.94405102          -0.86540543  1.935704499 -0.978798212
##  [435,]          0.58556274           0.22897502  1.511826150 -1.043570729
##  [436,]         -0.94405102          -0.86540543  1.935704499 -0.978798212
##  [437,]          2.11517650           0.47217068 -0.501596007 -0.331073037
##  [438,]         -0.94405102          -0.74380760  0.981978214 -0.914025694
##  [439,]          0.58556274           0.22897502  1.511826150 -1.043570729
##  [440,]         -0.84845016           0.10737719 -0.872489562 -1.496978352
##  [441,]         -0.94405102          -0.53101140  1.034963008 -2.792428702
##  [442,]         -0.84845016          -0.59181032  1.087947801 -1.626523387
##  [443,]         -0.94405102          -0.10541900  3.419278720 -2.339021079
##  [444,]         -0.46604672          -0.83500597 -0.236672039 -0.525390589
##  [445,]         -1.03965188          -0.59181032 -1.773231053  1.676875006
##  [446,]         -0.94405102          -0.47021249  0.981978214 -0.525390589
##  [447,]          1.44597048           0.77616525  1.511826150 -1.367433317
##  [448,]         -0.94405102          -0.92620434  0.028251929 -0.590163107
##  [449,]         -0.84845016          -0.59181032 -0.024732864 -0.719708142
##  [450,]          0.10755844          -0.34861466  1.405856563 -1.367433317
##  [451,]          0.10755844          -0.34861466  1.405856563 -1.367433317
##  [452,]         -0.65724844          -0.62220977  0.611084659 -1.626523387
##  [453,]          0.20315930          -0.34861466  0.028251929  0.834832278
##  [454,]         -1.03965188          -0.74380760  1.617795737 -0.331073037
##  [455,]          0.48996188           0.62416796 -0.819504768  1.223467383
##  [456,]         -0.94405102          -0.83500597  1.087947801 -0.590163107
##  [457,]         -1.03965188          -0.74380760  0.981978214  0.381424656
##  [458,]          1.25476876           0.56336905  1.087947801 -0.201528002
##  [459,]         -1.03965188          -0.74380760  1.617795737 -0.331073037
##  [460,]         -0.56164758           0.01617882  2.147643673 -0.395845554
##  [461,]         -0.17924414          -0.71340814  0.452130278  0.251879621
##  [462,]         -0.94405102          -0.83500597  0.770039040 -0.331073037
##  [463,]         -0.56164758          -0.65260923  0.134221517 -0.849253177
##  [464,]          0.87236532           2.50893429  0.240191104 -1.496978352
##  [465,]         -1.03965188          -0.95660380  1.034963008 -2.144703527
##  [466,]         -0.56164758          -0.62220977  2.041674086  1.093922348
##  [467,]          0.48996188           0.13777665  0.770039040 -0.978798212
##  [468,]         -0.84845016          -0.86540543 -1.084428736  0.057562068
##  [469,]         -0.94405102          -0.77420706  1.723765325 -0.914025694
##  [470,]          1.92397478           0.04657828 -0.819504768 -0.719708142
##  [471,]         -0.08364328           0.01617882  1.511826150 -1.691295904
##  [472,]          0.87236532           0.16817611  0.134221517 -0.719708142
##  [473,]          0.87236532           0.65456742  1.458841357 -1.043570729
##  [474,]         -1.03965188          -0.98700326  0.187206310 -0.331073037
##  [475,]         -0.56164758          -0.68300869  0.770039040 -0.719708142
##  [476,]         -1.03965188          -0.56141086  1.087947801 -1.108343247
##  [477,]         -0.94405102          -0.92620434  0.664069453 -0.201528002
##  [478,]         -0.94405102          -0.80460651  0.505115072 -0.849253177
##  [479,]         -1.03965188          -0.56141086  1.087947801 -1.108343247
##  [480,]         -0.94405102          -0.47021249  0.876008627 -0.784480659
##  [481,]         -0.94405102          -0.71340814  3.101369958 -1.237888282
##  [482,]         -0.94405102          -0.89580489 -0.183687245 -1.043570729
##  [483,]         -0.94405102          -0.86540543  0.981978214 -1.756068422
##  [484,]         -0.84845016          -0.86540543  0.981978214 -1.756068422
##  [485,]         -0.94405102          -0.68300869  0.134221517 -1.626523387
##  [486,]         -0.94405102          -0.89580489  0.452130278 -0.914025694
##  [487,]         -0.94405102          -0.89580489  0.452130278 -0.914025694
##  [488,]         -1.03965188          -0.98700326  0.770039040 -0.914025694
##  [489,]          1.82837392           0.62416796  1.829734912  0.057562068
##  [490,]         -0.56164758          -0.62220977  0.876008627  0.187107103
##  [491,]          0.77676446           0.28977394  0.876008627 -0.007210449
##  [492,]         -0.37044586          -0.65260923 -0.819504768  0.187107103
##  [493,]         -0.27484500          -0.59181032 -0.925474355  0.057562068
##  [494,]          0.68116360           1.04976036  1.829734912  1.093922348
##  [495,]          1.15916790           1.35375493 -0.819504768  0.834832278
##  [496,]         -1.03965188          -0.92620434  0.240191104 -1.043570729
##  [497,]         -0.17924414          -0.25741629  0.876008627  0.770059761
##  [498,]          2.59318080           2.02254298 -0.077717658  0.057562068
##  [499,]         -1.03965188          -0.92620434  0.240191104 -1.043570729
##  [500,]          0.68116360           1.04976036  1.829734912  1.093922348
##  [501,]         -0.17924414          -0.25741629  0.876008627  0.770059761
##  [502,]          2.11517650           0.89776307  1.193917389 -0.914025694
##  [503,]          2.11517650           0.89776307  1.193917389 -0.914025694
##  [504,]         -0.94405102          -0.68300869  0.452130278 -0.849253177
##  [505,]         -0.94405102          -0.74380760  0.452130278 -0.654935624
##  [506,]         -0.56164758          -0.62220977  0.028251929 -0.978798212
##  [507,]         -0.94405102          -0.77420706  0.452130278 -0.395845554
##  [508,]         -0.94405102          -1.01740271  1.723765325 -0.914025694
##  [509,]          0.96796618           0.47217068  1.405856563 -0.849253177
##  [510,]          0.68116360          -0.10541900  0.981978214 -1.756068422
##  [511,]          0.29876016          -0.10541900  0.558099865 -1.885613457
##  [512,]          0.96796618           0.47217068  1.405856563 -0.849253177
##  [513,]         -0.08364328           0.07697774  0.664069453 -1.820840939
##  [514,]         -0.94405102          -0.95660380  0.293175897 -1.432205834
##  [515,]         -0.94405102          -0.95660380  0.293175897 -1.432205834
##  [516,]          1.73277306           3.17772234  2.253613261 -0.007210449
##  [517,]         -1.03965188          -0.98700326  2.253613261 -0.395845554
##  [518,]         -1.03965188          -0.92620434  1.405856563 -0.978798212
##  [519,]         -0.46604672          -0.43981303  0.240191104 -0.590163107
##  [520,]          2.21077736           1.80974678 -0.077717658  0.316652138
##  [521,]         -0.08364328          -0.40941357  0.770039040  0.705287243
##  [522,]          0.01195758          -0.10541900  0.664069453  1.093922348
##  [523,]          2.97558423           2.63053212  0.611084659  0.446197173
##  [524,]          2.11517650           2.90412723  0.558099865 -0.590163107
##  [525,]          0.68116360           2.11374135  0.452130278 -0.525390589
##  [526,]          1.25476876           0.19857556  1.617795737 -0.460618072
##  [527,]          2.21077736           1.80974678 -0.077717658  0.316652138
##  [528,]          1.63717220           1.17135819 -0.289656832  0.510969691
##  [529,]          1.54157134           0.25937448  1.087947801  0.187107103
##  [530,]         -0.94405102          -0.40941357  0.346160691 -1.432205834
##  [531,]         -1.42205532          -0.56141086  1.193917389  0.640514726
##  [532,]         -0.37044586          -0.13581846  1.935704499 -0.978798212
##  [533,]         -0.37044586          -0.13581846  1.935704499 -0.978798212
##  [534,]         -0.08364328          -0.40941357 -0.607565594 -0.590163107
##  [535,]         -0.27484500          -0.43981303  1.723765325 -0.201528002
##  [536,]         -1.42205532          -0.56141086  1.193917389  0.640514726
##  [537,]         -0.94405102          -0.40941357  0.346160691 -1.432205834
##  [538,]         -1.03965188          -1.01740271  0.240191104  0.381424656
##  [539,]         -1.03965188          -0.34861466  2.465552435 -0.719708142
##  [540,]         -1.03965188          -0.89580489  1.511826150 -0.590163107
##  [541,]          0.39436102           0.01617882  1.087947801 -0.331073037
##  [542,]         -1.03965188          -0.89580489  1.087947801 -0.654935624
##  [543,]         -1.03965188          -0.80460651 -0.077717658 -1.237888282
##  [544,]          0.01195758           0.19857556  1.352871769 -1.626523387
##  [545,]         -0.94405102          -0.95660380  2.147643673 -2.921973737
##  [546,]          2.11517650           1.80974678  0.770039040 -1.496978352
##  [547,]         -0.56164758          -0.56141086  0.823023833  0.899604796
##  [548,]         -0.94405102          -0.77420706  1.034963008 -0.331073037
##  [549,]          1.06356704           0.68496688  1.405856563 -1.237888282
##  [550,]         -0.94405102          -0.65260923  0.399145485 -0.266300519
##  [551,]         -0.65724844          -0.65260923 -0.501596007  0.122334586
##  [552,]         -0.17924414          -0.04462009  0.664069453 -0.784480659
##  [553,]         -0.17924414          -0.07501955  0.664069453 -1.237888282
##  [554,]          1.54157134           1.50575221 -1.773231053  2.778007803
##  [555,]         -0.56164758          -0.71340814  3.392786323 -2.533338632
##  [556,]         -0.56164758          -0.71340814  3.392786323 -2.533338632
##  [557,]         -0.56164758          -0.89580489  1.829734912 -1.561750869
##  [558,]         -0.56164758          -0.71340814  3.392786323 -2.533338632
##  [559,]         -0.56164758          -0.89580489  1.829734912 -1.561750869
##  [560,]         -0.94405102           0.01617882  2.836445990 -0.071982967
##  [561,]         -1.03965188          -0.83500597  1.405856563 -1.108343247
##  [562,]          0.96796618           2.26573864  0.558099865 -0.525390589
##  [563,]          2.40197908           1.93134461  0.770039040 -1.496978352
##  [564,]          0.87236532           0.41137176  0.187206310 -0.007210449
##  [565,]         -0.94405102           0.01617882  2.836445990 -0.071982967
##  [566,]         -1.03965188          -0.83500597  1.405856563 -1.108343247
##  [567,]         -1.03965188          -0.95660380  1.246902182  0.057562068
##  [568,]         -1.03965188          -0.95660380  1.246902182  0.057562068
##  [569,]         -1.03965188          -0.80460651  1.193917389 -0.007210449
##  [570,]          0.29876016          -0.13581846 -1.137413530  1.676875006
##  [571,]         -0.56164758          -0.28781575  1.882719705  0.057562068
##  [572,]          0.29876016          -0.13581846 -1.137413530  1.676875006
##  [573,]         -0.56164758          -0.56141086  0.558099865 -1.108343247
##  [574,]         -0.17924414           0.01617882  1.246902182 -0.071982967
##  [575,]          0.39436102           0.95856199  1.299886976 -0.784480659
##  [576,]          1.15916790          -0.01422063  1.352871769 -0.719708142
##  [577,]         -0.94405102          -0.98700326  0.558099865  0.187107103
##  [578,]          0.20315930           1.96174407  0.770039040 -0.071982967
##  [579,]          0.10755844           1.93134461  0.770039040 -0.136755484
##  [580,]          0.20315930          -0.19661738  0.452130278 -1.108343247
##  [581,]         -1.03965188          -0.98700326  1.829734912 -0.784480659
##  [582,]         -1.03965188          -0.98700326  1.829734912 -0.784480659
##  [583,]         -1.03965188          -0.95660380  1.723765325 -0.784480659
##  [584,]         -0.56164758          -0.77420706  0.452130278 -2.144703527
##  [585,]          3.64479025           1.01936090  1.829734912 -0.071982967
##  [586,]         -0.75284930          -0.25741629  0.664069453  1.029149831
##  [587,]          0.01195758           0.01617882  0.981978214 -1.237888282
##  [588,]          0.20315930           1.68814895 -0.024732864 -0.331073037
##  [589,]          0.29876016           0.10737719 -2.673972544  2.648462768
##  [590,]         -1.03965188          -1.01740271  0.452130278 -1.691295904
##  [591,]          0.48996188           0.86736362  1.034963008  0.251879621
##  [592,]          0.68116360           3.11692343 -2.409048576 -1.237888282
##  [593,]          0.48996188           0.86736362  1.034963008  0.251879621
##  [594,]         -0.65724844          -0.10541900  1.935704499 -0.136755484
##  [595,]          0.39436102          -0.25741629  0.558099865  0.575742208
##  [596,]          1.35036962           1.90094515  1.617795737 -0.266300519
##  [597,]         -0.94405102          -0.68300869  1.405856563 -1.756068422
##  [598,]         -1.03965188          -0.86540543  0.664069453 -1.432205834
##  [599,]         -1.03965188          -0.50061195 -0.024732864 -0.719708142
##  [600,]         -0.46604672          -0.74380760  1.723765325 -2.015158492
##  [601,]         -0.84845016          -0.71340814 -0.289656832 -0.331073037
##  [602,]         -0.37044586          -0.34861466  2.041674086 -1.367433317
##  [603,]         -0.94405102          -0.98700326  0.399145485 -0.071982967
##  [604,]         -0.37044586          -0.34861466  2.041674086 -1.367433317
##  [605,]         -0.17924414           0.50257013  0.876008627 -0.914025694
##  [606,]         -0.94405102          -0.68300869  0.876008627 -0.007210449
##  [607,]         -0.56164758          -0.80460651  0.293175897  0.187107103
##  [608,]          0.96796618           0.16817611  0.770039040 -0.007210449
##  [609,]         -0.46604672           0.56336905  3.101369958  0.057562068
##  [610,]         -0.08364328          -0.22701683 -0.607565594  1.612102488
##  [611,]          0.87236532           0.32017339  0.823023833  0.510969691
##  [612,]         -1.03965188          -0.92620434  2.041674086 -2.144703527
##  [613,]          0.20315930          -0.53101140 -0.130702451  0.057562068
##  [614,]         -0.56164758          -0.53101140 -0.289656832 -0.331073037
##  [615,]         -0.56164758           1.71854841  0.081236723 -2.857201219
##  [616,]          1.15916790           0.74576579  1.564810944  1.223467383
##  [617,]          1.15916790           0.74576579  1.564810944  1.223467383
##  [618,]         -0.17924414          -0.56141086  0.770039040 -1.820840939
##  [619,]         -1.13525274          -0.89580489  2.041674086 -1.173115764
##  [620,]         -0.94405102          -0.92620434  1.087947801 -1.432205834
##  [621,]          0.01195758           1.99214352  0.452130278 -0.266300519
##  [622,]         -0.17924414           1.74894787  0.452130278 -0.201528002
##  [623,]         -0.65724844          -0.43981303  0.346160691 -1.173115764
##  [624,]          0.48996188          -0.04462009  0.346160691  1.158694866
##  [625,]          0.48996188           0.35057285  1.564810944  0.964377313
##  [626,]          0.48996188           0.35057285  1.564810944  0.964377313
##  [627,]         -1.03965188          -0.95660380  1.087947801  0.316652138
##  [628,]         -1.03965188          -0.95660380  1.087947801  0.316652138
##  [629,]         -0.84845016          -0.47021249  0.452130278 -0.266300519
##  [630,]          0.39436102           1.14095873 -0.183687245 -0.654935624
##  [631,]         -0.84845016          -0.47021249  0.452130278 -0.266300519
##  [632,]         -1.03965188          -0.83500597  1.087947801 -0.395845554
##  [633,]          0.48996188          -0.10541900 -0.183687245  0.057562068
##  [634,]         -0.46604672           1.20175764  2.253613261  0.770059761
##  [635,]          2.87998338           1.68814895 -0.183687245 -0.266300519
##  [636,]          0.77676446          -0.40941357 -0.713535181 -0.266300519
##  [637,]          1.35036962           3.05612452  0.611084659 -0.460618072
##  [638,]          1.44597048           2.99532560  0.558099865 -0.460618072
##  [639,]         -0.84845016          -0.71340814 -0.183687245  0.251879621
##  [640,]          0.87236532           0.32017339  0.134221517 -0.849253177
##  [641,]          0.01195758          -0.19661738  1.246902182  0.510969691
##  [642,]          0.48996188           0.65456742  1.299886976  0.964377313
##  [643,]          0.01195758          -0.19661738  1.246902182  0.510969691
##  [644,]          0.48996188           0.65456742  1.299886976  0.964377313
##  [645,]          0.01195758          -0.19661738  1.246902182  0.510969691
##  [646,]         -1.03965188          -1.07820163  0.876008627  0.381424656
##  [647,]         -0.94405102          -0.80460651  0.240191104  0.575742208
##  [648,]         -1.03965188          -0.98700326 -0.024732864  0.057562068
##  [649,]         -0.56164758          -0.56141086 -0.183687245  0.122334586
##  [650,]          0.77676446           3.08652397 -1.031443943 -0.978798212
##  [651,]         -0.75284930          -0.43981303  0.981978214 -2.727656184
##  [652,]          1.82837392           3.29932017  2.253613261  0.640514726
##  [653,]          0.58556274           0.74576579  0.452130278 -2.144703527
##  [654,]         -0.65724844          -0.50061195  0.452130278 -1.237888282
##  [655,]         -0.84845016          -0.53101140  0.611084659 -1.496978352
##  [656,]          0.39436102           0.19857556  1.935704499 -1.108343247
##  [657,]         -0.75284930          -0.43981303  0.981978214 -2.727656184
##  [658,]          0.68116360          -0.13581846  0.664069453 -2.533338632
##  [659,]         -1.03965188          -0.80460651  0.293175897  0.057562068
##  [660,]         -1.03965188          -1.01740271  0.134221517  0.640514726
##  [661,]         -1.03965188          -0.80460651  0.293175897  0.057562068
##  [662,]         -0.08364328          -0.13581846  0.558099865 -0.007210449
##  [663,]         -0.65724844          -0.59181032  0.240191104  0.316652138
##  [664,]         -1.03965188          -1.01740271  0.346160691 -1.756068422
##  [665,]         -0.08364328           0.22897502  1.723765325 -1.820840939
##  [666,]          0.87236532           0.04657828  0.717054246 -1.108343247
##  [667,]         -0.94405102          -0.92620434  0.664069453 -0.849253177
##  [668,]         -0.94405102          -0.95660380  1.087947801 -2.403793597
##  [669,]         -0.08364328          -0.47021249 -0.077717658 -1.043570729
##  [670,]         -0.94405102          -0.95660380  1.087947801 -2.403793597
##  [671,]          1.35036962          -0.04462009 -0.448611213 -0.331073037
##  [672,]         -1.03965188          -1.01740271  0.028251929 -0.719708142
##  [673,]          1.54157134           3.17772234  0.664069453 -1.043570729
##  [674,]         -1.03965188          -1.01740271  0.028251929 -0.719708142
##  [675,]         -0.84845016          -0.89580489  0.876008627 -1.496978352
##  [676,]         -0.37044586          -0.47021249  0.876008627 -0.331073037
##  [677,]         -0.84845016          -0.89580489  0.876008627 -1.496978352
##  [678,]         -0.37044586          -0.47021249  0.611084659  0.575742208
##  [679,]          2.78438252           1.23215710  0.823023833  1.093922348
##  [680,]          0.39436102           0.07697774  0.240191104 -1.173115764
##  [681,]         -0.08364328          -0.19661738  1.935704499 -1.626523387
##  [682,]          0.01195758          -0.53101140 -0.289656832 -0.654935624
##  [683,]          1.54157134           0.35057285  0.664069453  0.122334586
##  [684,]         -1.03965188          -0.95660380  0.134221517  0.381424656
##  [685,]          1.82837392           3.20812180  0.664069453 -0.395845554
##  [686,]         -1.03965188          -0.95660380  0.134221517  0.381424656
##  [687,]         -0.27484500          -0.19661738  0.134221517  0.834832278
##  [688,]         -0.27484500          -0.25741629  1.617795737 -0.201528002
##  [689,]         -1.13525274          -1.13900054 -0.289656832  0.575742208
##  [690,]         -1.03965188          -0.89580489  0.452130278 -0.071982967
##  [691,]         -1.03965188          -0.98700326 -0.077717658  2.065510111
##  [692,]         -0.37044586           1.41455384  1.617795737  1.093922348
##  [693,]          0.01195758           0.47217068  0.611084659 -1.820840939
##  [694,]          0.48996188           2.29613809  0.876008627  0.057562068
##  [695,]          0.77676446           2.38733646  0.876008627 -0.007210449
##  [696,]          0.20315930          -0.07501955 -2.462033370  3.814368084
##  [697,]         -0.75284930          -0.65260923  0.240191104  1.029149831
##  [698,]         -0.75284930          -0.65260923  0.240191104  1.029149831
##  [699,]          0.20315930           0.77616525  1.776750118 -0.007210449
##  [700,]         -1.03965188          -0.83500597  0.981978214 -1.302660799
##  [701,]          0.96796618           1.26255656  0.876008627 -1.496978352
##  [702,]         -0.75284930          -0.65260923  0.240191104  1.029149831
##  [703,]         -0.65724844          -0.71340814  0.134221517  1.029149831
##  [704,]          0.58556274           1.14095873  0.240191104  0.057562068
##  [705,]         -1.13525274          -0.98700326  0.664069453 -0.136755484
##  [706,]         -0.46604672           0.22897502  1.193917389  0.381424656
##  [707,]         -0.56164758          -0.83500597 -0.607565594  0.575742208
##  [708,]          0.01195758          -0.28781575 -0.077717658  0.381424656
##  [709,]         -0.46604672          -0.34861466 -0.395626419  0.187107103
##  [710,]         -0.27484500          -0.40941357  0.823023833 -0.266300519
##  [711,]          0.48996188           1.14095873  0.928993421 -1.626523387
##  [712,]          0.01195758           1.99214352  1.617795737  0.446197173
##  [713,]         -0.27484500          -0.40941357  1.299886976  0.316652138
##  [714,]         -0.56164758           0.04657828  0.452130278  0.187107103
##  [715,]          0.48996188           0.92816253  0.664069453 -0.201528002
##  [716,]         -0.27484500          -0.37901412 -0.024732864 -0.136755484
##  [717,]         -0.56164758           0.04657828  0.452130278  0.187107103
##  [718,]         -0.37044586           0.07697774  0.028251929 -0.654935624
##  [719,]         -0.56164758          -0.74380760  0.452130278 -0.590163107
##  [720,]          0.10755844          -0.04462009  0.452130278  0.964377313
##  [721,]         -0.56164758          -0.74380760  0.452130278 -0.590163107
##  [722,]          1.82837392           1.80974678  0.770039040 -1.367433317
##  [723,]         -0.08364328           0.04657828  0.028251929 -0.654935624
##  [724,]          1.92397478           2.44813538 -0.130702451 -2.403793597
##  [725,]         -1.03965188          -1.04780217 -0.501596007  1.482557453
##  [726,]         -1.03965188          -1.01740271  0.452130278 -0.136755484
##  [727,]          0.20315930           0.07697774  1.405856563  0.770059761
##  [728,]         -1.13525274          -1.07820163  0.134221517  0.964377313
##  [729,]         -1.13525274          -1.07820163  0.134221517  0.964377313
##  [730,]          1.06356704           0.35057285 -0.925474355  1.935965076
##  [731,]         -0.37044586          -0.28781575  0.770039040 -0.914025694
##  [732,]         -1.13525274          -0.98700326  1.405856563  0.834832278
##  [733,]         -0.56164758          -0.83500597 -0.077717658  0.510969691
##  [734,]          0.01195758           0.77616525  0.664069453  1.547329971
##  [735,]         -0.65724844          -0.22701683  1.034963008  1.093922348
##  [736,]         -0.46604672          -0.74380760 -0.236672039 -0.331073037
##  [737,]         -0.46604672          -0.74380760 -0.236672039 -0.331073037
##  [738,]          0.29876016           0.35057285  1.829734912  1.223467383
##  [739,]          1.15916790           1.74894787  0.823023833 -1.367433317
##  [740,]          0.29876016          -0.25741629  1.193917389  0.251879621
##  [741,]         -0.37044586          -0.92620434 -0.130702451  0.899604796
##  [742,]          1.15916790           2.81292886  0.600487700 -0.654935624
##  [743,]         -0.65724844          -0.86540543  0.240191104  0.964377313
##  [744,]          0.87236532           1.65774950  1.850928829 -1.173115764
##  [745,]          0.48996188           1.65774950  1.776750118 -1.173115764
##  [746,]         -0.37044586          -0.56141086  0.494518113  1.353012418
##  [747,]         -0.37044586           0.32017339  0.558099865 -0.071982967
##  [748,]          0.01195758           0.65456742  0.568696824 -0.071982967
##  [749,]         -0.37044586          -0.47021249  0.457428758  1.353012418
##  [750,]         -0.37044586          -0.56141086  0.494518113  1.353012418
##  [751,]          0.10755844          -0.19661738  0.679964891 -0.136755484
##  [752,]          0.10755844          -0.19661738  0.679964891 -0.136755484
##  [753,]          0.77676446           0.59376850  0.584592262  0.510969691
##  [754,]          0.10755844          -0.19661738  0.679964891 -0.136755484
##  [755,]         -0.17924414          -0.43981303 -0.098911575 -1.432205834
##  [756,]          0.58556274           0.01617882 -0.793012371  1.288239901
##  [757,]         -0.08364328          -0.40941357 -0.989056108  1.871192558
##  [758,]         -0.56164758          -0.47021249 -0.098911575 -0.395845554
##  [759,]         -0.56164758          -0.47021249 -0.098911575 -0.395845554
##  [760,]          1.63717220           1.26255656  0.785934478 -0.784480659
##  [761,]         -0.65724844           1.74894787  0.552801386 -0.525390589
##  [762,]         -1.03965188          -0.34861466  0.335563732 -0.395845554
##  [763,]         -0.75284930          -0.83500597  0.139519996 -0.007210449
##  [764,]         -1.03965188          -0.34861466  0.335563732 -0.395845554
##  [765,]         -0.46604672          -0.07501955  1.130335636 -0.007210449
##  [766,]         -0.37044586           0.04657828  1.130335636 -0.007210449
##  [767,]         -0.37044586           0.83696416  0.335563732 -1.108343247
##  [768,]         -0.27484500           1.56655113  1.395259604  0.899604796
##  [769,]          0.77676446           1.44495330  0.367354608  1.547329971
##  [770,]         -0.84845016          -0.43981303 -0.035329823  0.510969691
##  [771,]          0.77676446           1.44495330  0.367354608  1.547329971
##  [772,]          0.68116360           2.93452669  0.558099865 -0.201528002
##  [773,]          0.68116360           2.96492615  0.568696824 -0.266300519
##  [774,]         -1.42205532          -0.07501955  0.293175897 -0.071982967
##  [775,]         -1.32645446          -0.04462009  0.277280459 -0.007210449
##  [776,]         -0.84845016          -0.92620434 -0.469805131  0.770059761
##  [777,]         -0.99185145           0.04657828 -0.332044667  0.575742208
##  [778,]         -0.94405102          -0.86540543 -0.342641626  0.575742208
##  [779,]         -0.84845016          -0.37901412  0.600487700  0.316652138
##  [780,]          0.48996188           1.38415439  0.372653088  1.223467383
##  [781,]         -0.37044586          -0.04462009  0.007058012 -0.007210449
##  [782,]         -0.65724844          -0.28781575  0.303772856  2.259827663
##  [783,]          0.96796618           1.50575221  0.738248164  0.316652138
##  [784,]         -0.65724844          -0.28781575  0.303772856  2.259827663
##  [785,]          0.39436102           1.17135819  0.377951567  1.547329971
##  [786,]         -0.46604672           0.44177122  0.770039040 -0.654935624
##  [787,]         -0.46604672           0.44177122  0.770039040 -0.654935624
##  [788,]          0.29876016           0.35057285  1.246902182 -0.849253177
##  [789,]          0.29876016           0.35057285  1.246902182 -0.849253177
##  [790,]          0.48996188           2.20493972  0.664069453 -1.432205834
##  [791,]          0.20315930           1.08015982  0.176609351  0.122334586
##  [792,]          0.87236532           2.53933375  0.759442081 -0.525390589
##  [793,]          0.10755844           1.23215710  0.372653088  1.093922348
##  [794,]         -0.84845016          -1.01740271 -0.188985724  0.446197173
##  [795,]         -0.84845016          -0.62220977 -0.761221495 -0.914025694
##  [796,]         -0.84845016           0.41137176  0.589890742 -2.079931009
##  [797,]          0.77676446           0.53296959  0.377951567 -1.367433317
##  [798,]          0.48996188          -0.13581846 -0.787713892 -0.460618072
##  [799,]         -1.03965188          -0.98700326  1.034963008 -0.136755484
##  [800,]         -1.03965188          -0.98700326  1.034963008 -0.136755484
##  [801,]          0.96796618           1.87054570 -0.178388766 -0.395845554
##  [802,]         -0.75284930          -0.89580489  0.319668294 -0.525390589
##  [803,]         -0.17924414           1.20175764 -2.175915484  1.612102488
##  [804,]         -0.17924414          -0.01422063  0.187206310 -0.460618072
##  [805,]         -1.13525274          -0.86540543  0.038848888 -0.331073037
##  [806,]         -1.13525274          -1.10860108 -1.688455383  0.122334586
##  [807,]         -1.13525274          -1.10860108 -1.529501003 -0.266300519
##  [808,]         -1.13525274          -1.10860108 -1.688455383  0.122334586
##  [809,]         -1.13525274          -1.04780217  0.144818475 -0.331073037
##  [810,]         -1.13525274          -0.95660380  0.097132161 -0.590163107
##  [811,]         -1.13525274          -0.98700326 -0.596968635 -0.071982967
##  [812,]         -0.84845016          -0.68300869  1.787347077 -1.432205834
##  [813,]          0.39436102          -0.25741629  0.759442081 -0.460618072
##  [814,]         -1.13525274          -1.19979945 -1.126816571  0.834832278
##  [815,]          0.29876016          -0.16621792  1.400558084 -0.654935624
##  [816,]          0.39436102          -0.25741629  0.759442081 -0.460618072
##  [817,]         -0.75284930          -0.50061195  0.876008627 -0.525390589
##  [818,]          0.29876016          -0.59181032 -0.687042784 -0.201528002
##  [819,]          0.48996188           0.01617882 -0.226075080 -0.136755484
##  [820,]         -0.65724844           0.38097231  1.596601820 -0.201528002
##  [821,]         -0.65724844          -0.74380760 -0.363835543  0.187107103
##  [822,]          0.01195758          -0.13581846 -2.758748214  2.583690251
##  [823,]         -0.08364328          -0.31821520  0.293175897  1.935965076
##  [824,]         -0.08364328          -0.31821520  0.293175897  1.935965076
##  [825,]         -0.94405102          -0.92620434  0.038848888 -0.460618072
##  [826,]         -0.08364328          -0.28781575 -0.268462915  0.316652138
##  [827,]         -1.13525274          -1.16940000 -0.872489562  0.575742208
##  [828,]         -0.08364328          -0.28781575 -0.268462915  0.316652138
##  [829,]          1.73277306          -0.04462009 -1.365248142  0.964377313
##  [830,]          0.01195758          -0.68300869 -1.582485796  1.612102488
##  [831,]         -1.03965188          -1.13900054 -0.226075080  0.446197173
##  [832,]          0.01195758          -0.68300869 -1.582485796  1.612102488
##  [833,]          1.73277306           0.04657828  0.833620792  0.446197173
##  [834,]          1.92397478           0.13777665  0.854814710  0.446197173
##  [835,]          0.01195758          -0.71340814  0.102430640  0.057562068
##  [836,]          1.06356704           0.25937448 -0.104210055  0.510969691
##  [837,]          1.92397478           1.62735004 -3.235611356 -0.331073037
##  [838,]          1.92397478           1.62735004 -3.235611356 -0.331073037
##  [839,]         -0.65724844          -0.56141086 -0.014135906 -0.460618072
##  [840,]         -0.27484500          -0.62220977 -0.146597890  0.964377313
##  [841,]         -0.65724844          -0.37901412  0.324966774 -0.460618072
##  [842,]          0.48996188          -0.47021249 -0.241970518  0.899604796
##  [843,]          1.73277306           0.65456742  0.176609351 -0.525390589
##  [844,]         -0.65724844           1.38415439 -0.236672039 -0.201528002
##  [845,]          0.96796618          -0.13581846 -0.448611213 -0.849253177
##  [846,]         -0.17924414          -0.47021249  0.075938244  1.806420041
##  [847,]         -0.17924414          -0.47021249  0.075938244  1.806420041
##  [848,]         -0.37044586          -0.22701683  0.505115072  1.223467383
##  [849,]         -0.17924414          -0.47021249  0.075938244  1.806420041
##  [850,]         -0.37044586          -0.43981303  0.075938244  1.741647523
##  [851,]         -0.65724844          -0.74380760  0.176609351 -0.201528002
##  [852,]         -0.65724844          -0.74380760  0.176609351 -0.201528002
##  [853,]          0.96796618           2.29613809  0.669367932 -0.590163107
##  [854,]          2.40197908           0.25937448 -0.120105493  1.029149831
##  [855,]          2.40197908           0.25937448 -0.120105493  1.029149831
##  [856,]         -0.56164758          -0.98700326 -0.724132140  1.288239901
##  [857,]          2.40197908           0.25937448 -0.120105493  1.029149831
##  [858,]          0.01195758           0.01617882 -0.427417296  0.575742208
##  [859,]          0.10755844          -0.43981303  0.060042806 -1.043570729
##  [860,]         -0.08364328          -0.68300869 -1.253980076  0.575742208
##  [861,]         -0.08364328           1.17135819  0.377951567  1.288239901
##  [862,]         -0.08364328           1.26255656 -1.683156904  2.259827663
##  [863,]         -0.84845016          -0.65260923 -0.247268997 -0.460618072
##  [864,]          0.10755844           1.14095873  0.377951567  1.288239901
##  [865,]         -0.08364328           1.17135819  0.377951567  1.288239901
##  [866,]          0.01195758           1.20175764  0.388548526  1.288239901
##  [867,]         -0.27484500          -0.68300869 -1.253980076  0.640514726
##  [868,]         -0.27484500          -0.74380760 -1.253980076  0.575742208
##  [869,]         -0.08364328          -0.68300869 -1.253980076  0.575742208
##  [870,]          1.06356704          -0.10541900 -0.512192965  0.834832278
##  [871,]          1.44597048          -0.10541900 -1.608978193  0.640514726
##  [872,]          1.92397478          -0.01422063 -0.808907810  1.417784936
##  [873,]          1.15916790           0.04657828 -0.522789924  0.770059761
##  [874,]         -0.94405102          -1.10860108 -0.649953429 -0.525390589
##  [875,]         -0.94405102          -1.10860108 -0.056523740 -1.237888282
##  [876,]         -0.84845016          -0.92620434 -0.321447708 -0.007210449
##  [877,]         -0.84845016          -0.98700326 -0.835400206  0.575742208
##  [878,]          1.44597048          -0.10541900 -1.608978193  0.640514726
##  [879,]          1.35036962           0.68496688  0.595189221 -0.590163107
##  [880,]          0.20315930           1.26255656  0.372653088  1.417784936
##  [881,]         -0.56164758          -0.77420706 -0.522789924 -1.043570729
##  [882,]          1.35036962          -0.34861466 -0.750624537  1.093922348
##  [883,]         -0.17924414          -0.62220977 -0.734729099 -0.590163107
##  [884,]          0.20315930           1.26255656  0.372653088  1.417784936
##  [885,]          1.35036962           0.68496688  0.595189221 -0.590163107
##  [886,]         -0.65724844          -0.50061195  0.791232957  0.187107103
##  [887,]         -0.75284930          -0.56141086  0.854814710  0.122334586
##  [888,]          1.25476876           0.28977394 -0.517491445 -1.043570729
##  [889,]          1.54157134           0.53296959 -0.973160670  0.770059761
##  [890,]          0.68116360           1.59695058  3.255025860 -0.590163107
##  [891,]          1.35036962           0.16817611 -0.522789924  0.834832278
##  [892,]          0.01195758           1.20175764  0.362056129  1.417784936
##  [893,]         -0.56164758          -0.86540543  0.526308989 -0.590163107
##  [894,]          0.01195758           1.20175764  0.362056129  1.417784936
##  [895,]          0.10755844           1.26255656  0.372653088  1.417784936
##  [896,]          1.06356704          -0.10541900 -0.660550387  0.705287243
##  [897,]          0.10755844          -0.10541900 -1.222189200 -0.007210449
##  [898,]          1.06356704          -0.10541900 -0.660550387  0.705287243
##  [899,]          0.10755844          -0.10541900 -1.222189200 -0.007210449
##  [900,]         -0.94405102          -1.07820163  1.151529554  1.093922348
##  [901,]         -0.56164758          -0.22701683 -0.596968635  0.575742208
##  [902,]          0.01195758          -0.40941357  0.324966774  1.741647523
##  [903,]          0.01195758          -0.40941357  0.324966774  1.741647523
##  [904,]         -0.46604672          -0.86540543 -0.289656832  0.640514726
##  [905,]         -0.46604672          -0.86540543 -0.289656832  0.640514726
##  [906,]         -0.08364328           2.08334189  0.664069453 -0.525390589
##  [907,]         -0.37044586           0.95856199 -0.183687245  0.510969691
##  [908,]         -0.94405102          -1.13900054 -1.031443943  1.806420041
##  [909,]          1.73277306           0.44177122 -0.777116933  0.770059761
##  [910,]         -0.84845016          -1.07820163 -1.820917367 -0.136755484
##  [911,]         -1.23085360          -1.07820163 -0.517491445 -0.525390589
##  [912,]         -1.23085360          -1.13900054  1.199215868 -0.849253177
##  [913,]         -1.13525274          -1.16940000 -0.003538947  0.122334586
##  [914,]         -1.23085360          -1.10860108 -0.188985724 -0.266300519
##  [915,]         -0.84845016          -1.07820163 -1.820917367 -0.136755484
##  [916,]         -1.23085360          -1.23019891 -0.861892603 -0.266300519
##  [917,]         -0.84845016           0.47217068 -1.481814688  2.000737593
##  [918,]          0.96796618          -0.04462009  0.791232957  0.446197173
##  [919,]          1.54157134           0.98896144 -0.183687245 -0.071982967
##  [920,]          2.11517650          -0.01422063 -0.904280438  0.446197173
##  [921,]         -0.56164758          -0.71340814  0.589890742 -0.460618072
##  [922,]          1.54157134           0.98896144 -0.183687245 -0.071982967
##  [923,]          2.11517650          -0.01422063 -0.904280438  0.446197173
##  [924,]          0.96796618          -0.04462009  0.791232957  0.446197173
##  [925,]         -0.17924414          -0.56141086 -0.840698686 -0.849253177
##  [926,]          3.54918939           0.92816253 -0.374432502  1.029149831
##  [927,]          3.45358853           0.80656470  0.589890742  1.029149831
##  [928,]         -0.46604672           0.86736362  0.324966774 -0.719708142
##  [929,]         -0.17924414          -0.56141086 -0.840698686 -0.849253177
##  [930,]         -0.56164758          -0.83500597 -1.095025695 -0.071982967
##  [931,]         -0.75284930          -0.65260923  0.377951567  2.454145216
##  [932,]         -0.27484500          -0.25741629  0.388548526  1.093922348
##  [933,]          1.25476876           0.59376850  0.187206310  0.899604796
##  [934,]         -0.27484500          -0.25741629  0.388548526  1.093922348
##  [935,]         -0.75284930          -0.65260923  0.377951567  2.454145216
##  [936,]          0.29876016           0.77616525 -0.697639743  0.510969691
##  [937,]          0.29876016           0.77616525 -0.697639743  0.510969691
##  [938,]         -0.94405102          -0.62220977  0.616383138 -1.561750869
##  [939,]          0.68116360          -0.13581846 -1.688455383  0.187107103
##  [940,]         -0.84845016          -1.07820163 -1.322860307  1.935965076
##  [941,]         -0.27484500          -0.65260923 -0.877788041  0.316652138
##  [942,]         -0.65724844          -0.89580489 -1.010250025 -0.784480659
##  [943,]         -0.27484500           0.16817611  0.844217751 -0.590163107
##  [944,]         -0.56164758          -0.04462009  1.003172132 -0.460618072
##  [945,]         -0.46604672          -0.68300869 -0.936071314 -0.266300519
##  [946,]         -0.84845016          -0.80460651 -0.575774718 -1.108343247
##  [947,]         -0.46604672          -0.68300869  0.372653088 -0.136755484
##  [948,]         -0.94405102          -1.04780217 -1.412934457 -0.331073037
##  [949,]         -0.56164758          -0.77420706 -0.649953429  0.640514726
##  [950,]         -0.56164758          -0.77420706 -0.649953429  0.640514726
##  [951,]         -0.56164758          -0.77420706 -0.649953429  0.640514726
##  [952,]         -0.94405102          -1.04780217 -1.412934457 -0.331073037
##  [953,]         -0.94405102          -1.10860108 -0.734729099 -0.007210449
##  [954,]         -1.03965188          -1.13900054 -1.148010489 -0.719708142
##  [955,]         -0.94405102          -1.07820163 -0.724132140  0.834832278
##  [956,]         -0.65724844          -0.71340814 -0.141299410  0.316652138
##  [957,]         -1.03965188          -1.10860108 -0.565177759 -0.007210449
##  [958,]         -0.37044586           0.13777665 -0.326746188 -0.136755484
##  [959,]          0.87236532          -0.31821520 -0.824803248  1.029149831
##  [960,]         -0.37044586          -0.43981303  0.319668294  0.316652138
##  [961,]          0.20315930          -0.25741629 -0.830101727 -0.978798212
##  [962,]         -0.84845016          -0.86540543 -0.438014254 -0.266300519
##  [963,]         -0.94405102          -0.92620434 -0.109508534  0.446197173
##  [964,]          0.39436102          -0.59181032 -0.681744305 -1.043570729
##  [965,]          0.20315930          -0.25741629 -0.830101727 -0.978798212
##  [966,]          0.77676446           0.04657828 -0.639356470  0.187107103
##  [967,]         -0.94405102          -1.10860108 -0.374432502 -1.173115764
##  [968,]          0.68116360           2.02254298  0.309071335 -1.173115764
##  [969,]          1.25476876          -0.01422063 -1.296367911 -0.719708142
##  [970,]         -0.84845016          -0.74380760 -0.030031344  0.964377313
##  [971,]         -0.94405102          -1.10860108  0.261385021  0.122334586
##  [972,]         -0.94405102          -1.10860108  0.261385021  0.122334586
##  [973,]         -0.94405102          -1.01740271 -0.167791807 -0.590163107
##  [974,]         -0.94405102          -1.04780217 -0.369134023  1.353012418
##  [975,]         -0.84845016          -1.01740271 -0.088314617 -0.071982967
##  [976,]          1.82837392           0.77616525  0.134221517  0.834832278
##  [977,]          1.82837392           0.77616525  0.134221517  0.834832278
##  [978,]          1.44597048           2.20493972  0.669367932 -1.043570729
##  [979,]         -0.65724844          -0.53101140 -1.370546622 -0.201528002
##  [980,]         -1.23085360          -1.23019891  0.081236723 -1.173115764
##  [981,]         -0.75284930          -0.89580489  0.526308989  0.057562068
##  [982,]         -0.27484500          -0.56141086  0.197803269 -0.395845554
##  [983,]          3.35798767           0.71536633 -1.359949663  0.187107103
##  [984,]         -0.75284930          -0.89580489  0.526308989  0.057562068
##  [985,]         -1.23085360          -1.23019891  0.081236723 -1.173115764
##  [986,]         -0.84845016          -1.07820163 -0.596968635  0.899604796
##  [987,]         -1.23085360          -1.19979945 -1.084428736 -0.784480659
##  [988,]          1.82837392           0.71536633  0.097132161  0.834832278
##  [989,]          0.29876016          -0.59181032 -0.416820337 -0.978798212
##  [990,]         -0.17924414          -0.77420706 -0.628759511 -1.108343247
##  [991,]          0.29876016          -0.59181032 -0.416820337 -0.978798212
##  [992,]          1.44597048           0.65456742  0.102430640  0.899604796
##  [993,]          1.35036962           0.01617882 -0.639356470  0.316652138
##  [994,]          1.44597048           0.65456742  0.102430640  0.899604796
##  [995,]          0.39436102           1.26255656  1.289290017 -1.043570729
##  [996,]          0.29876016          -0.16621792  0.118326078  0.510969691
##  [997,]         -1.23085360          -1.07820163 -1.571888837  2.583690251
##  [998,]         -1.23085360          -1.07820163 -1.571888837  2.583690251
##  [999,]         -1.13525274          -1.10860108 -0.639356470 -1.237888282
## [1000,]         -0.84845016          -1.04780217 -2.716360379  1.029149831
## [1001,]         -0.94405102          -1.04780217 -0.951966752  0.834832278
## [1002,]          1.44597048           0.01617882  0.007058012 -0.331073037
## [1003,]         -0.27484500          -0.59181032 -0.840698686 -0.331073037
## [1004,]         -1.13525274          -1.16940000 -2.091139815  0.316652138
## [1005,]          1.06356704          -0.04462009 -0.379730981 -0.395845554
## [1006,]         -1.13525274          -1.16940000 -2.091139815  0.316652138
## [1007,]         -0.27484500          -0.59181032 -0.840698686 -0.331073037
## [1008,]         -0.37044586          -0.65260923 -0.840698686 -0.331073037
## [1009,]         -0.37044586          -0.68300869 -0.665848867 -0.525390589
## [1010,]          0.96796618           0.25937448  0.250788062 -0.849253177
## [1011,]         -0.84845016          -1.04780217 -1.699052342 -0.395845554
## [1012,]         -0.37044586          -0.83500597 -0.554580800 -0.914025694
## [1013,]         -0.46604672          -0.43981303 -0.374432502 -0.525390589
## [1014,]          0.58556274          -0.47021249 -0.210179642  0.446197173
## [1015,]         -1.23085360          -1.19979945 -1.169204406 -0.590163107
## [1016,]         -0.17924414          -0.59181032 -0.406223378 -1.626523387
## [1017,]         -0.37044586          -0.56141086 -0.999653067 -0.266300519
## [1018,]          1.92397478           1.90094515 -3.537624680 -2.727656184
## [1019,]          1.92397478           1.90094515 -3.537624680 -2.727656184
## [1020,]         -0.56164758          -0.71340814 -0.204881162  1.417784936
## [1021,]         -1.23085360          -1.16940000 -0.173090286 -0.719708142
## [1022,]         -1.23085360          -1.16940000 -0.173090286 -0.719708142
## [1023,]         -1.13525274          -1.13900054 -0.480402089  0.251879621
## [1024,]         -1.23085360          -1.13900054 -0.893683479 -0.266300519
## [1025,]         -0.37044586          -0.86540543 -0.565177759  0.057562068
## [1026,]          0.10755844          -0.10541900  0.780635998  0.122334586
## [1027,]         -0.17924414          -0.31821520 -1.646067548  0.640514726
## [1028,]          1.15916790           0.16817611 -1.571888837  1.158694866
## [1029,]          2.40197908           0.65456742 -0.469805131  0.381424656
## [1030,]         -0.37044586          -0.86540543 -0.565177759  0.057562068
## [1031,]         -0.65724844          -0.98700326 -0.989056108  0.705287243
## [1032,]         -0.65724844          -0.95660380 -0.851295644  0.251879621
## [1033,]         -1.03965188          -0.98700326  0.950187338  0.316652138
## [1034,]         -0.17924414          -0.59181032 -0.438014254 -0.071982967
## [1035,]         -0.08364328           0.04657828  0.340862212 -0.719708142
## [1036,]         -1.03965188          -0.89580489  0.044147367 -0.914025694
## [1037,]          0.96796618          -0.34861466 -1.688455383 -0.590163107
## [1038,]          0.39436102           0.28977394 -0.014135906  0.251879621
## [1039,]          0.87236532          -0.13581846 -0.766519975 -0.460618072
## [1040,]          0.48996188          -0.22701683  0.091833682  0.122334586
## [1041,]          0.01195758          -0.43981303  0.430936361  1.741647523
## [1042,]         -0.27484500          -0.62220977 -0.676445826  0.446197173
## [1043,]          0.48996188          -0.22701683  0.091833682  0.122334586
## [1044,]          0.20315930          -0.22701683  0.976679735 -0.136755484
## [1045,]         -0.37044586           0.19857556 -2.016961104  0.316652138
## [1046,]          1.54157134          -0.25741629 -1.253980076  0.057562068
## [1047,]          1.63717220          -0.04462009 -0.332044667 -0.007210449
## [1048,]          1.06356704           0.13777665 -0.215478121  1.158694866
## [1049,]         -1.23085360          -0.98700326  0.144818475 -0.266300519
## [1050,]         -0.94405102          -0.89580489  0.155415434 -0.266300519
## [1051,]          1.06356704           0.13777665 -0.215478121  1.158694866
## [1052,]          0.01195758          -0.04462009  0.144818475 -1.820840939
## [1053,]          0.29876016          -0.65260923 -2.207706361  1.612102488
## [1054,]         -0.65724844          -0.80460651 -1.317561828  0.446197173
## [1055,]         -1.03965188           0.92816253  0.383250046 -1.173115764
## [1056,]         -1.03965188           0.92816253  0.383250046 -1.173115764
## [1057,]         -1.23085360          -1.10860108 -0.469805131 -0.654935624
## [1058,]          1.15916790           1.32335547  0.579293783 -1.043570729
## [1059,]          1.35036962           0.16817611  0.187206310 -0.784480659
## [1060,]         -1.23085360          -1.10860108 -0.469805131 -0.654935624
## [1061,]         -1.23085360          -1.16940000  0.717054246 -1.108343247
## [1062,]         -0.84845016          -0.92620434 -1.126816571 -0.654935624
## [1063,]         -0.94405102          -0.95660380 -0.607565594 -0.071982967
## [1064,]         -0.94405102          -0.89580489 -0.581073197 -0.590163107
## [1065,]         -1.03965188          -1.10860108 -1.359949663 -0.201528002
## [1066,]         -0.94405102          -0.80460651 -0.236672039 -0.136755484
## [1067,]         -0.27484500          -0.62220977 -1.677858425  0.575742208
## [1068,]         -1.23085360          -1.10860108 -0.543983842 -1.885613457
## [1069,]         -1.23085360          -1.10860108 -0.543983842 -1.885613457
## [1070,]          1.15916790           0.16817611  0.134221517 -0.007210449
## [1071,]          0.29876016          -0.28781575 -0.936071314 -0.849253177
## [1072,]          1.35036962           1.38415439  1.151529554 -0.719708142
## [1073,]          1.63717220           0.86736362  0.028251929  0.575742208
## [1074,]          0.01195758          -0.28781575  0.240191104 -0.007210449
## [1075,]          1.35036962           1.38415439  1.151529554 -0.719708142
## [1076,]          2.78438252           0.62416796  0.499816592  0.834832278
## [1077,]         -1.23085360          -1.16940000 -0.745326057 -1.043570729
## [1078,]         -1.23085360          -1.16940000  0.754143602 -0.266300519
## [1079,]         -1.23085360          -1.16940000  0.754143602 -0.266300519
## [1080,]          2.06737607           7.03845338 -1.900394558 -1.950385974
## [1081,]         -1.23085360          -1.16940000 -1.079130257 -0.978798212
## [1082,]          2.06737607           7.37284740 -1.900394558 -1.950385974
## [1083,]          1.44597048           0.71536633  0.054744326  0.705287243
## [1084,]          1.54157134           0.38097231 -0.305552270  0.122334586
## [1085,]          1.44597048           0.71536633  0.054744326  0.705287243
## [1086,]          2.30637822           0.53296959 -0.771818454 -1.237888282
## [1087,]         -1.23085360          -1.13900054  0.335563732  0.446197173
## [1088,]          0.20315930          -0.50061195 -1.455322291 -0.136755484
## [1089,]          0.58556274          -0.16621792  0.319668294 -1.885613457
## [1090,]          0.58556274          -0.16621792  0.319668294 -1.885613457
## [1091,]          2.49757994           0.83696416 -1.185099844 -2.144703527
## [1092,]         -0.75284930          -0.83500597 -0.681744305  0.251879621
## [1093,]         -0.56164758          -0.92620434 -1.036742422  0.770059761
## [1094,]         -0.46604672          -0.47021249 -0.316149229  0.122334586
## [1095,]         -0.65724844          -0.89580489 -0.104210055  0.251879621
## [1096,]         -0.94405102          -0.80460651  0.515712030 -1.043570729
## [1097,]         -0.65724844          -0.89580489 -0.104210055  0.251879621
## [1098,]         -1.03965188          -0.86540543 -0.045926782 -0.719708142
## [1099,]         -1.03965188          -0.92620434 -1.677858425 -1.043570729
## [1100,]         -1.03965188          -0.86540543 -0.045926782 -0.719708142
## [1101,]          0.68116360          -0.31821520 -1.497710126 -1.302660799
## [1102,]         -0.17924414          -0.65260923 -1.518904044  0.251879621
## [1103,]          0.20315930          -0.50061195 -1.444725333  0.899604796
## [1104,]         -0.17924414          -0.65260923 -1.518904044  0.251879621
## [1105,]          0.01195758          -0.65260923 -1.667261466 -0.201528002
## [1106,]         -0.27484500           0.07697774 -1.593082755  0.640514726
## [1107,]         -0.65724844          -0.89580489 -1.582485796 -0.654935624
## [1108,]         -0.56164758          -0.68300869 -0.803609330 -0.266300519
## [1109,]         -1.13525274          -1.01740271  0.955485817  0.316652138
## [1110,]          1.06356704           0.59376850  0.770039040 -0.914025694
## [1111,]         -0.94405102          -0.98700326 -0.432715775 -0.395845554
## [1112,]          0.68116360           0.25937448 -1.079130257  3.037097873
## [1113,]         -0.94405102          -0.34861466 -1.476516209 -0.136755484
## [1114,]         -1.23085360          -1.10860108  0.123624558 -1.237888282
## [1115,]          1.25476876           1.01936090 -3.468744448  1.158694866
## [1116,]         -0.08364328          -0.77420706 -0.543983842  0.446197173
## [1117,]         -0.08364328          -0.77420706 -0.543983842  0.446197173
## [1118,]         -0.08364328          -0.77420706 -0.543983842  0.446197173
## [1119,]         -0.17924414          -0.68300869 -2.239497237 -0.071982967
## [1120,]         -0.84845016          -0.95660380 -2.218303319  1.353012418
## [1121,]         -0.75284930          -0.89580489 -2.329571386 -0.719708142
## [1122,]          0.48996188          -0.56141086 -1.709649301  0.834832278
## [1123,]          1.06356704          -0.40941357 -2.409048576  0.899604796
## [1124,]          0.10755844          -0.53101140 -0.003538947 -1.237888282
## [1125,]         -1.23085360          -1.01740271 -0.623461032  2.000737593
## [1126,]         -0.27484500          -0.59181032 -1.487113168 -1.108343247
## [1127,]         -1.23085360          -1.07820163 -2.779942131  0.510969691
## [1128,]          0.96796618           0.16817611 -1.566590358  1.288239901
## [1129,]          1.15916790           1.29295601  0.876008627 -0.590163107
## [1130,]          0.77676446           0.71536633  0.653472494 -0.654935624
## [1131,]         -1.03965188          -1.10860108  0.505115072 -0.849253177
## [1132,]          3.93159283           2.69133103 -1.767932574  0.057562068
## [1133,]          0.20315930          -0.25741629 -1.826215847  0.446197173
## [1134,]         -0.56164758          -0.86540543  0.049445847  0.381424656
## [1135,]         -0.94405102          -0.95660380 -0.798310851 -0.071982967
## [1136,]          0.58556274           0.10737719 -1.137413530  0.446197173
## [1137,]         -0.94405102          -1.01740271  0.526308989 -0.590163107
## [1138,]         -0.94405102          -1.01740271  0.526308989 -0.590163107
## [1139,]          1.25476876           1.44495330  0.589890742 -1.108343247
## [1140,]          0.01195758           1.20175764  0.473324196  0.187107103
## [1141,]          1.63717220           0.98896144  0.081236723  0.640514726
## [1142,]          0.77676446           0.74576579 -0.268462915 -0.266300519
## [1143,]         -0.94405102          -1.04780217 -1.699052342 -0.071982967
## [1144,]          0.01195758          -0.80460651 -0.014135906  1.935965076
## [1145,]          1.82837392           0.71536633 -0.459208172  0.770059761
## [1146,]          1.44597048           0.13777665 -0.014135906  1.417784936
## [1147,]         -0.94405102          -0.77420706 -0.395626419 -0.201528002
## [1148,]         -0.94405102          -0.98700326  0.144818475 -0.654935624
## [1149,]         -0.65724844          -0.77420706 -0.787713892  0.510969691
## [1150,]         -0.94405102          -1.07820163 -0.475103610 -0.525390589
## [1151,]         -1.13525274          -1.04780217 -1.068533298 -0.071982967
## [1152,]          0.01195758           0.71536633 -1.709649301  0.964377313
## [1153,]         -0.65724844          -0.25741629 -0.310850750 -1.043570729
## [1154,]          0.10755844          -0.25741629 -0.279059874 -0.525390589
## [1155,]          3.26238681           0.50257013 -0.692341264  1.806420041
## [1156,]         -0.65724844          -0.25741629 -0.310850750 -1.043570729
## [1157,]          2.78438252           1.26255656 -0.798310851  0.122334586
## [1158,]          0.01195758           1.65774950 -2.303078989  0.964377313
## [1159,]          0.58556274           0.22897502 -0.543983842  0.705287243
## [1160,]         -0.46604672          -0.28781575  0.282578939 -0.978798212
## [1161,]         -0.94405102          -0.80460651  0.007058012 -1.108343247
## [1162,]         -0.37044586          -0.77420706 -0.655251908 -0.654935624
## [1163,]         -0.37044586          -0.83500597 -1.275173993 -1.108343247
## [1164,]         -0.56164758          -0.77420706  0.091833682 -0.136755484
## [1165,]         -0.56164758          -0.77420706  0.091833682 -0.136755484
## [1166,]         -0.08364328          -0.25741629 -0.215478121 -1.950385974
## [1167,]         -0.84845016           0.41137176  0.181907831 -2.403793597
## [1168,]          1.25476876           0.04657828 -0.777116933  0.057562068
## [1169,]         -0.75284930          -0.07501955 -1.540097961 -0.654935624
## [1170,]         -1.03965188          -0.98700326 -0.914877397  0.057562068
## [1171,]         -1.03965188          -1.04780217 -0.040628302 -0.719708142
## [1172,]          0.96796618          -0.07501955 -0.808907810  0.705287243
## [1173,]         -1.03965188          -0.92620434 -0.136000931 -0.266300519
## [1174,]          0.96796618           0.56336905  0.218997186  0.964377313
## [1175,]          0.96796618           0.56336905  0.218997186  0.964377313
## [1176,]          3.07118509           0.38097231 -0.708236702  1.935965076
## [1177,]          0.68116360           0.01617882 -0.543983842  1.741647523
## [1178,]         -0.94405102          -1.07820163 -1.889797599  0.251879621
## [1179,]          0.10755844           0.95856199 -1.741440177  2.389372698
## [1180,]         -0.46604672           0.01617882 -0.400924899 -0.266300519
## [1181,]         -0.46604672           0.01617882 -0.400924899 -0.266300519
## [1182,]         -1.03965188          -1.07820163 -1.042040901 -0.784480659
## [1183,]          2.40197908           0.22897502  0.420339402  0.446197173
## [1184,]          0.01195758           0.44177122 -0.543983842 -0.136755484
## [1185,]         -0.46604672           2.20493972 -0.724132140  0.316652138
## [1186,]         -0.94405102          -0.22701683 -1.741440177  0.122334586
## [1187,]         -0.94405102          -1.04780217 -0.236672039  1.353012418
## [1188,]         -0.94405102          -0.22701683 -1.741440177  0.122334586
## [1189,]         -0.46604672           2.20493972 -0.724132140  0.316652138
## [1190,]         -1.03965188          -0.83500597 -0.310850750 -0.071982967
## [1191,]         -0.94405102          -0.80460651 -0.120105493 -0.201528002
## [1192,]         -0.94405102          -1.04780217 -0.655251908  1.612102488
## [1193,]         -0.46604672          -0.16621792 -1.248681596  1.353012418
## [1194,]         -0.94405102          -1.04780217 -0.655251908  1.612102488
## [1195,]         -0.08364328           0.53296959 -0.459208172 -0.590163107
## [1196,]          0.48996188           0.28977394 -0.220776601  1.353012418
## [1197,]          0.68116360           1.44495330  0.060042806 -0.654935624
## [1198,]         -1.13525274          -1.13900054 -1.148010489 -0.978798212
## [1199,]          0.29876016           0.92816253 -0.872489562 -1.043570729
## [1200,]          0.68116360           1.44495330  0.060042806 -0.654935624
## [1201,]         -1.13525274          -1.13900054 -1.148010489 -0.978798212
## [1202,]         -1.03965188          -1.10860108 -1.354651184 -0.266300519
## [1203,]         -0.94405102          -1.04780217 -0.840698686  0.251879621
## [1204,]          1.63717220           0.89776307  1.077350843 -1.108343247
## [1205,]          0.77676446          -0.07501955 -0.745326057  0.575742208
## [1206,]          0.77676446          -0.07501955 -0.745326057  0.575742208
## [1207,]          0.77676446          -0.07501955 -0.745326057  0.575742208
## [1208,]          0.77676446           0.16817611  0.409742443  0.251879621
## [1209,]          0.77676446          -0.07501955 -0.745326057  0.575742208
## [1210,]         -0.17924414          -0.68300869 -1.306964869  0.899604796
## [1211,]         -0.75284930          -0.95660380 -0.936071314  0.251879621
## [1212,]          0.58556274           0.19857556 -0.554580800  0.057562068
## [1213,]         -0.75284930          -0.95660380 -0.936071314  0.251879621
## [1214,]         -1.03965188          -1.01740271 -0.083016137 -1.043570729
## [1215,]         -0.94405102          -1.13900054 -0.247268997 -1.367433317
## [1216,]          0.39436102          -0.53101140 -0.989056108 -0.331073037
## [1217,]         -0.56164758           0.98896144  0.012356491 -0.136755484
## [1218,]          2.59318080           0.83696416 -1.412934457 -0.525390589
## [1219,]         -0.75284930          -0.68300869 -0.395626419 -0.460618072
## [1220,]          0.87236532           0.10737719 -1.042040901 -0.719708142
## [1221,]          0.10755844          -0.07501955  0.314369815 -0.201528002
## [1222,]          0.10755844          -0.07501955  0.314369815 -0.201528002
## [1223,]          1.63717220           1.29295601  0.017654971 -0.331073037
## [1224,]         -0.65724844          -0.71340814 -0.194284204 -0.525390589
## [1225,]         -0.75284930          -0.80460651  1.299886976 -1.561750869
## [1226,]          0.20315930           0.92816253  1.310483934 -1.043570729
## [1227,]          1.06356704          -0.01422063 -0.438014254 -1.885613457
## [1228,]         -0.75284930          -0.77420706  0.499816592 -0.266300519
## [1229,]          0.20315930           1.26255656 -2.742852776  2.389372698
## [1230,]          0.29876016           0.59376850  0.229594145  0.575742208
## [1231,]         -0.08364328           0.35057285 -1.084428736  0.381424656
## [1232,]          3.07118509           1.32335547 -0.284358353  0.446197173
## [1233,]          0.29876016           0.59376850  0.229594145  0.575742208
## [1234,]         -0.17924414          -0.31821520 -0.321447708 -0.525390589
## [1235,]         -0.46604672          -0.86540543 -2.292482030  0.510969691
## [1236,]         -0.94405102           2.02254298 -0.543983842 -0.071982967
## [1237,]         -0.84845016          -0.89580489 -0.083016137 -0.331073037
## [1238,]         -0.46604672          -0.86540543 -2.292482030  0.510969691
## [1239,]         -0.37044586          -0.68300869  0.653472494  0.446197173
## [1240,]         -0.46604672          -0.80460651 -0.989056108  0.899604796
## [1241,]          1.92397478           0.41137176 -0.957265232 -1.367433317
## [1242,]          1.15916790           0.56336905  0.287877418 -0.978798212
## [1243,]         -0.08364328          -0.19661738 -1.381143580 -0.590163107
## [1244,]         -0.56164758           1.20175764  0.823023833  0.381424656
## [1245,]          5.36560573           3.45131746  0.245489583  0.122334586
## [1246,]         -0.08364328          -0.37901412 -0.104210055  1.158694866
## [1247,]         -0.08364328           0.04657828 -0.914877397 -1.237888282
## [1248,]         -0.08364328          -0.37901412 -0.104210055  1.158694866
## [1249,]          0.58556274          -0.31821520 -0.978459149  0.640514726
## [1250,]          0.77676446          -0.28781575 -0.851295644  0.575742208
## [1251,]          0.77676446          -0.28781575 -0.851295644  0.575742208
## [1252,]          1.06356704           0.41137176 -0.236672039 -0.201528002
## [1253,]         -0.94405102          -0.98700326 -0.252567477  0.899604796
## [1254,]         -0.94405102          -1.01740271 -0.559879280  0.770059761
## [1255,]          0.39436102          -0.34861466 -0.247268997  0.575742208
## [1256,]          0.96796618          -0.01422063 -1.677858425  1.029149831
## [1257,]          2.59318080           0.41137176 -0.930772835 -1.367433317
## [1258,]         -0.37044586           0.68496688 -0.220776601  0.057562068
## [1259,]         -0.08364328          -0.40941357 -0.724132140  0.834832278
## [1260,]         -0.08364328          -0.40941357 -0.724132140  0.834832278
## [1261,]          0.29876016           0.28977394 -0.226075080 -1.885613457
## [1262,]          0.10755844          -0.68300869 -1.259278555  1.806420041
## [1263,]          1.73277306           0.59376850  0.271981980 -1.043570729
## [1264,]         -0.27484500          -0.62220977  0.558099865  0.381424656
## [1265,]          0.96796618           0.13777665 -1.158607447  0.446197173
## [1266,]          0.01195758          -0.31821520 -0.586371676  0.446197173
## [1267,]          0.01195758          -0.31821520 -0.586371676  0.446197173
## [1268,]         -0.27484500          -0.83500597 -0.395626419 -1.367433317
## [1269,]          0.48996188           0.13777665 -0.035329823  1.029149831
## [1270,]          1.15916790           1.23215710 -3.150835687  1.223467383
## [1271,]          0.96796618           0.41137176 -3.129641769  2.518917733
## [1272,]          0.77676446           0.53296959 -1.720246259  0.446197173
## [1273,]          0.87236532          -0.07501955 -1.534799482  1.223467383
## [1274,]          1.73277306          -0.07501955 -0.957265232 -1.367433317
## [1275,]          0.10755844          -0.31821520 -1.243383117 -0.460618072
## [1276,]         -0.27484500           1.04976036  0.070639764 -0.460618072
## [1277,]         -1.23085360          -1.10860108 -0.575774718 -0.201528002
## [1278,]         -1.23085360          -1.10860108 -0.204881162  0.251879621
## [1279,]         -0.27484500           1.04976036  0.070639764 -0.460618072
## [1280,]         -1.23085360          -1.13900054 -1.031443943 -1.108343247
## [1281,]          1.15916790           0.22897502 -0.607565594  0.381424656
## [1282,]          1.15916790           0.22897502 -0.607565594  0.381424656
## [1283,]         -0.65724844          -0.74380760 -0.294955312  0.122334586
## [1284,]          0.10755844           0.68496688  0.314369815 -0.331073037
## [1285,]          0.20315930          -0.31821520 -1.052637860  0.510969691
## [1286,]          0.39436102           0.01617882  0.314369815 -1.043570729
## [1287,]          0.10755844          -0.47021249 -1.836812805  0.251879621
## [1288,]         -1.23085360          -1.19979945 -2.059348939 -0.590163107
## [1289,]          0.39436102           1.93134461  1.268096100 -0.071982967
## [1290,]          0.39436102           1.93134461  1.268096100 -0.071982967
## [1291,]         -0.94405102          -1.04780217 -0.814206289  0.316652138
## [1292,]          0.87236532           0.41137176 -0.194284204 -0.136755484
## [1293,]         -0.17924414          -0.56141086 -1.656664507  2.000737593
## [1294,]         -0.94405102          -1.04780217 -0.014135906  0.187107103
## [1295,]          0.87236532           0.41137176 -0.194284204 -0.136755484
## [1296,]          3.35798767           0.94336226 -0.618162553 -0.719708142
## [1297,]          3.35798767           0.94336226 -0.618162553 -0.719708142
## [1298,]         -0.08364328          -0.53101140 -1.863305202  0.251879621
## [1299,]         -0.46604672          -0.86540543 -2.562704478  0.899604796
## [1300,]         -1.03965188          -1.13900054 -1.052637860  1.223467383
## [1301,]         -0.08364328          -0.56141086 -1.222189200  3.037097873
## [1302,]          0.39436102           0.32017339 -0.406223378  1.871192558
## [1303,]         -1.13525274          -0.95660380 -0.522789924 -0.071982967
## [1304,]          1.15916790           0.65456742 -0.920175876  0.316652138
## [1305,]          0.48996188           0.65456742 -0.660550387 -1.237888282
## [1306,]          0.77676446           1.26255656 -0.332044667 -0.071982967
## [1307,]          0.58556274           1.35375493  0.611084659 -0.136755484
## [1308,]         -0.08364328          -0.53101140 -0.798310851  0.640514726
## [1309,]          0.58556274           1.35375493  0.611084659 -0.136755484
## [1310,]          1.06356704           0.50257013 -0.395626419 -0.201528002
## [1311,]          0.77676446           1.26255656 -0.332044667 -0.071982967
## [1312,]         -0.37044586          -0.59181032 -2.038155021  0.122334586
## [1313,]         -0.17924414          -0.16621792 -0.755923016  0.187107103
## [1314,]          0.39436102           0.56336905 -0.618162553  0.575742208
## [1315,]          0.77676446           0.68496688 -0.628759511  0.575742208
## [1316,]          0.10755844           1.35375493 -0.310850750 -0.331073037
## [1317,]          0.01195758          -0.01422063 -2.207706361  4.526865776
## [1318,]         -0.56164758          -0.16621792 -0.194284204 -0.849253177
## [1319,]          0.10755844           1.35375493 -0.310850750 -0.331073037
## [1320,]          0.20315930           0.53296959 -0.120105493 -2.662883667
## [1321,]         -0.37044586           1.26255656  0.642875535 -0.331073037
## [1322,]          0.01195758          -0.01422063 -2.207706361  4.526865776
## [1323,]         -0.65724844          -0.86540543 -1.497710126 -0.849253177
## [1324,]          0.48996188           0.25937448 -0.951966752 -0.849253177
## [1325,]          0.20315930          -0.37901412 -1.031443943  0.510969691
## [1326,]          0.20315930          -0.37901412 -1.031443943  0.510969691
## [1327,]          0.20315930          -0.37901412 -1.031443943  0.510969691
## [1328,]          0.20315930          -0.37901412 -1.031443943  0.510969691
## [1329,]         -0.27484500          -0.25741629 -0.660550387  0.187107103
## [1330,]          0.10755844           1.35375493 -0.310850750 -0.136755484
## [1331,]          0.10755844           1.35375493 -0.310850750 -0.136755484
## [1332,]          1.44597048           0.62416796 -0.035329823 -0.331073037
## [1333,]         -0.94405102          -0.65260923 -0.496297527 -1.432205834
## [1334,]         -0.37044586           0.04657828  0.452130278 -0.849253177
## [1335,]         -1.13525274          -1.07820163 -0.353238585  0.510969691
## [1336,]          0.29876016          -0.19661738 -1.524202523  0.446197173
## [1337,]         -0.08364328          -0.62220977 -1.200995282  0.316652138
## [1338,]         -0.08364328          -0.62220977 -1.200995282  0.316652138
## [1339,]         -0.08364328          -0.62220977 -1.200995282  0.316652138
## [1340,]         -0.27484500          -0.47021249 -0.724132140  0.316652138
## [1341,]         -0.27484500          -0.47021249 -0.724132140  0.316652138
## [1342,]         -0.27484500          -0.47021249 -0.724132140  0.316652138
## [1343,]          0.10755844          -0.47021249 -0.453909692  0.381424656
## [1344,]         -0.27484500          -0.47021249 -0.724132140  0.316652138
## [1345,]         -0.75284930          -0.80460651  0.939590379 -1.432205834
## [1346,]         -0.56164758          -0.56141086 -0.326746188 -0.395845554
## [1347,]         -1.03965188          -1.01740271 -1.073831778  1.353012418
## [1348,]         -0.84845016          -1.04780217 -0.464506651  0.187107103
## [1349,]         -0.84845016          -1.04780217 -0.464506651  0.187107103
## [1350,]          0.48996188          -0.16621792 -0.830101727  0.640514726
## [1351,]          1.54157134           0.80656470 -0.109508534  0.187107103
## [1352,]         -0.75284930          -0.01422063 -1.815618888  0.057562068
## [1353,]         -0.17924414           0.32017339  0.081236723  0.381424656
## [1354,]         -0.17924414           0.32017339  0.081236723  0.381424656
## [1355,]         -0.84845016          -0.56141086 -0.565177759  0.251879621
## [1356,]         -1.03965188          -0.43981303 -1.116219612  0.316652138
## [1357,]         -1.13525274          -0.56141086 -1.116219612  0.316652138
## [1358,]          1.06356704           0.62416796 -0.141299410  1.871192558
## [1359,]          3.45358853           1.56655113  0.324966774 -0.201528002
## [1360,]         -0.94405102          -0.56141086  0.155415434 -1.561750869
## [1361,]         -0.46604672          -0.25741629  0.128923037 -0.460618072
## [1362,]         -0.27484500           0.22897502  0.261385021  0.316652138
## [1363,]         -0.94405102          -0.56141086  0.155415434 -1.561750869
## [1364,]         -0.46604672           0.50257013 -0.120105493 -0.136755484
## [1365,]         -0.56164758          -0.47021249 -0.925474355  0.964377313
## [1366,]         -0.56164758          -0.13581846  0.187206310 -0.849253177
## [1367,]         -0.56164758          -0.04462009 -0.522789924 -0.460618072
## [1368,]         -0.65724844           1.77934733  0.266683501 -0.395845554
## [1369,]          0.01195758           0.83696416 -0.098911575 -0.266300519
## [1370,]         -1.13525274          -1.16940000 -1.476516209  0.122334586
## [1371,]         -0.37044586           0.59376850 -0.273761394 -2.015158492
## [1372,]         -1.03965188          -0.98700326 -1.052637860 -0.654935624
## [1373,]         -0.37044586           0.59376850 -0.273761394 -2.015158492
## [1374,]          1.73277306           1.29295601 -0.056523740 -0.460618072
## [1375,]          0.01195758          -0.53101140 -1.079130257  0.057562068
## [1376,]         -0.27484500           1.62735004 -0.469805131 -0.331073037
## [1377,]         -0.84845016          -0.47021249 -1.137413530 -1.302660799
## [1378,]          0.68116360           0.83696416 -0.766519975  2.583690251
## [1379,]         -0.56164758          -0.56141086 -0.347940105 -0.136755484
## [1380,]         -0.46604672          -0.34861466 -0.623461032  0.316652138
## [1381,]         -0.46604672          -0.34861466 -0.623461032  0.316652138
## [1382,]         -1.13525274          -0.65260923 -0.745326057  0.446197173
## [1383,]          0.87236532           1.77934733 -0.326746188 -0.071982967
## [1384,]          0.87236532           1.77934733 -0.326746188 -0.071982967
## [1385,]          0.39436102           1.14095873 -0.432715775 -0.784480659
## [1386,]          1.73277306           1.17135819 -0.035329823 -0.784480659
## [1387,]         -0.75284930          -0.71340814 -0.342641626 -0.071982967
## [1388,]         -0.75284930          -0.71340814 -0.342641626 -0.071982967
## [1389,]         -0.84845016           0.07697774  0.229594145  0.251879621
## [1390,]          1.92397478           1.96174407 -0.798310851 -1.367433317
## [1391,]         -0.08364328          -0.40941357 -2.027558062  1.741647523
## [1392,]         -1.03965188          -0.40941357 -0.332044667  0.381424656
## [1393,]         -1.03965188          -1.04780217 -1.349352704 -0.914025694
## [1394,]          0.29876016           0.38097231 -0.332044667 -0.071982967
## [1395,]          1.06356704           0.80656470 -0.030031344  0.057562068
## [1396,]         -1.23085360          -1.04780217  0.372653088 -0.007210449
## [1397,]         -1.13525274          -1.07820163  0.372653088 -0.007210449
## [1398,]          0.10755844           1.74894787 -0.480402089 -0.201528002
## [1399,]         -0.27484500          -0.56141086 -0.077717658  1.353012418
## [1400,]         -0.56164758          -0.68300869 -0.607565594  0.705287243
## [1401,]          1.63717220           2.87372778 -0.289656832 -0.395845554
## [1402,]          1.63717220           2.87372778 -0.289656832 -0.395845554
## [1403,]         -0.94405102          -0.68300869 -0.236672039  0.834832278
## [1404,]         -1.23085360          -1.01740271 -0.395626419 -0.525390589
## [1405,]         -0.37044586          -0.01422063  0.928993421  0.770059761
## [1406,]          0.20315930          -0.37901412 -0.819504768 -0.201528002
## [1407,]         -0.75284930          -0.74380760  0.346160691 -0.590163107
## [1408,]          2.30637822           0.22897502 -0.925474355  1.482557453
## [1409,]          1.82837392           0.19857556 -0.925474355 -0.266300519
## [1410,]          2.30637822           0.22897502 -0.925474355  1.482557453
## [1411,]         -1.03965188          -0.92620434 -1.667261466  1.223467383
## [1412,]         -0.75284930          -0.83500597 -0.236672039  1.612102488
## [1413,]         -0.75284930          -0.74380760  0.346160691 -0.590163107
## [1414,]         -0.37044586           1.29295601 -0.236672039 -1.756068422
## [1415,]         -1.23085360          -0.95660380  1.405856563 -0.719708142
## [1416,]         -0.75284930          -0.86540543 -0.077717658  1.612102488
## [1417,]         -1.23085360          -0.95660380  1.405856563 -0.719708142
## [1418,]          0.48996188          -0.28781575 -0.819504768  0.251879621
## [1419,]         -1.23085360          -0.83500597 -0.925474355 -0.978798212
## [1420,]          1.54157134           2.63053212 -0.607565594 -0.266300519
## [1421,]         -1.23085360          -0.83500597 -0.925474355 -0.978798212
## [1422,]          0.77676446           0.35057285 -0.130702451  0.187107103
## [1423,]          2.21077736           0.25937448 -0.607565594  0.510969691
## [1424,]         -0.17924414          -0.47021249  0.028251929  1.223467383
## [1425,]         -0.75284930          -0.71340814  0.346160691 -0.331073037
## [1426,]         -0.75284930          -0.71340814  0.346160691 -0.331073037
## [1427,]          0.68116360           0.41137176  0.187206310  0.640514726
## [1428,]         -0.94405102          -0.71340814 -0.554580800 -0.071982967
## [1429,]          1.06356704           0.25937448 -0.289656832 -0.007210449
## [1430,]          2.11517650           0.62416796 -0.395626419  0.122334586
## [1431,]          0.20315930           0.01617882 -0.607565594  0.381424656
## [1432,]         -0.27484500           0.83696416 -0.501596007 -0.331073037
## [1433,]         -1.23085360          -1.07820163 -1.243383117  1.093922348
## [1434,]         -0.46604672          -0.65260923 -0.660550387  0.705287243
## [1435,]          3.74039111           1.47535276  3.678904208 -0.849253177
## [1436,]          3.74039111           1.47535276  3.678904208 -0.849253177
## [1437,]          1.06356704           1.32335547  1.268096100 -1.043570729
## [1438,]         -0.08364328          -0.22701683 -0.517491445  1.417784936
## [1439,]         -1.23085360          -1.16940000 -0.395626419  0.640514726
## [1440,]          1.44597048           1.38415439 -0.575774718  0.057562068
## [1441,]         -0.08364328          -0.56141086 -1.084428736 -0.525390589
## [1442,]          0.29876016           1.56655113  0.203101748 -0.978798212
## [1443,]          0.20315930          -0.50061195  0.197803269  0.575742208
## [1444,]         -0.75284930          -0.74380760 -1.868603682  0.446197173
## [1445,]          1.44597048           1.38415439 -0.575774718  0.057562068
## [1446,]          0.29876016           1.56655113  0.203101748 -0.978798212
## [1447,]          0.20315930          -0.50061195  0.197803269  0.575742208
## [1448,]          0.58556274          -0.22701683  0.139519996  0.575742208
## [1449,]          2.30637822           0.22897502  0.044147367  0.575742208
## [1450,]         -0.08364328          -0.53101140 -1.073831778 -0.525390589
## [1451,]         -0.08364328          -0.56141086 -1.084428736 -0.525390589
## [1452,]         -0.75284930          -0.89580489  0.303772856  0.122334586
## [1453,]          2.01957564           0.19857556 -1.593082755  0.251879621
## [1454,]          1.06356704           1.17135819  0.166012393  0.640514726
## [1455,]         -0.84845016          -0.71340814  1.586004861 -0.654935624
## [1456,]         -0.65724844          -0.89580489 -1.100324174  1.223467383
## [1457,]          2.11517650           1.29295601 -2.324272907 -0.071982967
## [1458,]          1.06356704           1.17135819  0.166012393  0.640514726
## [1459,]         -0.75284930          -0.80460651 -0.379730981  0.510969691
## [1460,]         -0.84845016          -0.95660380 -1.148010489  0.057562068
## [1461,]          1.73277306           0.53296959  0.261385021  0.640514726
## [1462,]         -0.94405102          -1.01740271 -0.056523740  1.806420041
## [1463,]         -0.17924414          -0.47021249 -0.687042784  0.316652138
## [1464,]         -0.17924414          -0.22701683 -0.808907810  0.187107103
## [1465,]          1.73277306           0.19857556 -0.501596007  0.640514726
## [1466,]          1.73277306           0.19857556 -0.501596007  0.640514726
## [1467,]          1.44597048           0.22897502  0.282578939 -0.071982967
## [1468,]          0.29876016          -0.43981303 -0.141299410  1.353012418
## [1469,]          1.44597048           0.22897502  0.282578939 -0.071982967
## [1470,]          0.39436102           0.07697774  0.160713913 -0.007210449
## [1471,]         -0.75284930          -0.68300869 -0.512192965 -2.792428702
## [1472,]         -0.75284930          -0.92620434 -1.805021929  0.770059761
## [1473,]          0.68116360          -0.07501955 -0.098911575  0.446197173
## [1474,]         -0.17924414          -0.04462009 -1.794424971  0.446197173
## [1475,]          3.07118509           1.08015982  3.005997330 -0.978798212
## [1476,]          0.01195758           1.29295601 -2.610390792  1.482557453
## [1477,]          3.07118509           1.08015982  3.005997330 -0.978798212
## [1478,]          0.01195758           1.29295601 -2.610390792  1.482557453
## [1479,]         -1.23085360          -0.98700326  0.706457287  0.575742208
## [1480,]         -0.56164758          -0.74380760  0.812426875  0.510969691
## [1481,]         -0.94405102          -1.01740271 -0.936071314  2.259827663
## [1482,]         -0.56164758          -0.74380760  0.812426875  0.510969691
## [1483,]         -1.23085360          -1.13900054  0.234892624  0.122334586
## [1484,]         -0.94405102          -1.04780217 -0.702938222  0.251879621
## [1485,]         -1.13525274          -1.07820163 -0.438014254  1.417784936
## [1486,]         -0.75284930          -0.65260923 -0.363835543  0.381424656
## [1487,]         -0.65724844          -0.71340814 -0.681744305  0.446197173
## [1488,]         -0.65724844          -0.89580489 -0.946668273  1.353012418
## [1489,]         -1.03965188          -1.01740271 -1.349352704  2.648462768
## [1490,]         -1.13525274          -1.07820163 -1.200995282  0.834832278
## [1491,]         -0.75284930          -0.86540543 -1.752037136  0.510969691
## [1492,]         -1.03965188          -1.01740271 -1.349352704  2.648462768
## [1493,]         -0.94405102          -0.86540543 -1.730843218  1.676875006
## [1494,]          0.68116360           3.05612452 -0.204881162 -0.331073037
## [1495,]         -0.08364328          -0.56141086 -1.142712009  0.705287243
## [1496,]         -0.08364328          -0.56141086 -0.967862190  0.251879621
## [1497,]          0.68116360           3.05612452 -0.204881162 -0.331073037
## [1498,]         -0.84845016          -0.92620434 -0.883086521  0.899604796
## [1499,]         -0.84845016          -1.01740271 -0.490999048  1.417784936
## [1500,]         -0.84845016          -0.92620434 -0.883086521  0.899604796
## [1501,]         -0.75284930          -0.95660380 -0.883086521 -0.331073037
## [1502,]          0.48996188           0.53296959 -0.173090286 -0.978798212
## [1503,]         -0.08364328           0.41137176 -0.194284204 -0.007210449
## [1504,]         -0.94405102          -0.98700326 -0.634057991  1.288239901
## [1505,]         -1.03965188          -1.04780217 -0.369134023  0.316652138
## [1506,]         -0.94405102          -1.04780217 -0.395626419  1.547329971
## [1507,]         -0.94405102          -0.98700326 -0.596968635  1.288239901
## [1508,]         -1.03965188          -1.04780217 -0.369134023  0.316652138
## [1509,]          0.10755844          -0.65260923  0.738248164  0.446197173
## [1510,]         -0.84845016          -0.80460651 -1.402337498 -0.201528002
## [1511,]          0.96796618           0.04657828 -0.072419178  1.029149831
## [1512,]          0.29876016          -0.59181032  0.197803269  0.834832278
## [1513,]         -0.46604672          -0.89580489 -0.459208172  1.417784936
## [1514,]          0.10755844           0.56336905 -2.016961104  0.122334586
## [1515,]          0.01195758           0.56336905  0.886605586  1.417784936
## [1516,]          0.01195758           0.56336905  0.886605586  1.417784936
## [1517,]          0.68116360           0.35057285 -0.220776601  0.705287243
## [1518,]          1.25476876          -0.07501955 -0.983757628  0.446197173
## [1519,]         -0.84845016          -0.80460651 -0.146597890  0.057562068
## [1520,]         -0.17924414          -0.59181032 -0.051225261  0.834832278
## [1521,]          1.25476876          -0.07501955 -0.983757628  0.446197173
## [1522,]         -0.65724844          -0.71340814 -0.475103610  0.510969691
## [1523,]          0.68116360           0.35057285 -0.220776601  0.705287243
## [1524,]          1.25476876           0.44177122 -0.766519975  0.187107103
## [1525,]          0.58556274           0.01617882 -0.808907810  0.510969691
## [1526,]          0.20315930          -0.37901412 -0.649953429  0.122334586
## [1527,]          0.20315930          -0.25741629 -0.644654949 -0.071982967
## [1528,]         -0.08364328          -0.68300869 -0.872489562 -0.136755484
## [1529,]          0.48996188           0.38097231  0.208400228 -0.007210449
## [1530,]          2.49757994           0.16817611 -0.353238585  0.705287243
## [1531,]         -0.65724844          -0.86540543 -1.222189200  0.705287243
## [1532,]         -0.27484500          -0.56141086 -0.231373559  1.871192558
## [1533,]          0.20315930          -0.74380760 -0.538685362 -0.654935624
## [1534,]          1.54157134           1.14095873  0.224295666  0.510969691
## [1535,]         -0.27484500          -0.53101140 -1.471217730  0.705287243
## [1536,]         -0.08364328          -0.34861466 -0.448611213  0.316652138
## [1537,]          0.77676446          -0.04462009 -0.777116933  1.871192558
## [1538,]          0.39436102          -0.47021249 -1.010250025  1.223467383
## [1539,]         -0.08364328          -0.62220977 -0.724132140  1.676875006
## [1540,]          1.73277306           0.41137176  0.208400228  0.964377313
## [1541,]         -0.46604672          -0.43981303 -0.151896369  1.612102488
## [1542,]          0.29876016           0.07697774 -0.045926782  0.575742208
## [1543,]          1.25476876          -0.25741629 -1.073831778 -0.071982967
## [1544,]         -0.17924414          -0.83500597  0.441533319 -0.395845554
## [1545,]         -0.37044586          -0.83500597 -0.660550387 -0.914025694
## [1546,]          0.01195758          -0.56141086 -0.761221495  0.316652138
## [1547,]          0.10755844          -0.62220977 -0.528088403  0.316652138
## [1548,]         -0.37044586          -0.62220977 -1.953379351  1.547329971
## [1549,]          0.29876016           0.10737719  0.573995303 -1.367433317
## [1550,]          0.10755844          -0.68300869 -1.354651184 -0.460618072
## [1551,]          0.10755844          -0.62220977  0.573995303  0.899604796
## [1552,]          0.20315930          -0.59181032  0.494518113  0.834832278
## [1553,]          1.54157134           0.22897502 -0.469805131  1.288239901
## [1554,]          0.20315930          -0.56141086  0.478622675  0.640514726
## [1555,]         -0.08364328          -0.71340814 -0.252567477  1.482557453
## [1556,]         -0.08364328          -0.68300869 -0.851295644  0.834832278
## [1557,]         -0.37044586          -0.80460651 -0.204881162  1.417784936
## [1558,]         -0.08364328          -0.71340814 -0.252567477  1.482557453
## [1559,]          4.79200057           2.08334189  0.595189221 -0.590163107
## [1560,]          1.44597048           2.56973321 -0.279059874 -0.654935624
## [1561,]          1.44597048           2.56973321 -0.279059874 -0.654935624
## [1562,]          1.44597048           2.56973321 -0.279059874 -0.654935624
## [1563,]         -0.37044586          -0.80460651 -0.681744305 -0.136755484
## [1564,]         -0.37044586          -0.80460651 -0.681744305 -0.136755484
## [1565,]         -0.37044586          -0.80460651 -0.681744305 -0.136755484
## [1566,]          0.96796618          -0.13581846 -0.983757628  0.510969691
## [1567,]          0.77676446           0.16817611 -0.957265232  0.187107103
## [1568,]         -0.37044586          -0.80460651 -0.681744305 -0.136755484
## [1569,]          0.87236532          -0.13581846 -0.241970518  0.187107103
## [1570,]         -0.08364328          -0.37901412 -1.476516209  1.093922348
## [1571,]          0.29876016          -0.34861466 -1.773231053  0.381424656
## [1572,]         -0.08364328          -0.65260923 -0.851295644  0.834832278
## [1573,]          1.82837392           1.74894787 -0.226075080  0.122334586
## [1574,]         -0.08364328           0.10737719 -1.100324174  1.741647523
## [1575,]          0.68116360           1.38415439  0.012356491  0.510969691
## [1576,]         -0.37044586          -0.80460651 -1.063234819 -0.331073037
## [1577,]          0.01195758          -0.53101140 -0.459208172 -0.071982967
## [1578,]         -0.27484500          -0.59181032 -0.279059874  1.482557453
## [1579,]         -0.27484500          -0.80460651 -0.713535181  0.705287243
## [1580,]          0.77676446          -0.43981303 -1.444725333  1.482557453
## [1581,]         -0.65724844          -0.62220977 -1.084428736  0.316652138
## [1582,]          0.77676446          -0.43981303 -1.444725333  1.482557453
## [1583,]         -0.27484500          -0.59181032 -1.656664507  1.676875006
## [1584,]          1.54157134           1.56655113 -0.512192965  0.122334586
## [1585,]          0.77676446          -0.37901412 -1.010250025 -0.136755484
## [1586,]          0.58556274           0.04657828 -0.957265232 -0.071982967
## [1587,]          1.73277306           0.41137176 -0.967862190  0.187107103
## [1588,]          0.20315930          -0.56141086 -1.015548505  1.547329971
## [1589,]          1.73277306           1.68814895 -1.381143580 -0.266300519
## [1590,]          1.25476876           0.98896144  0.505115072 -0.136755484
## [1591,]          0.96796618          -0.34861466 -1.910991516  0.057562068
## [1592,]          0.01195758          -0.62220977 -1.444725333  2.324600181
## [1593,]          1.25476876          -0.19661738 -0.533386883  0.705287243
## [1594,]          1.15916790          -0.25741629 -0.125403972  0.705287243
## [1595,]          1.54157134          -0.07501955 -0.978459149  0.899604796
## [1596,]          2.21077736           0.13777665 -0.861892603  1.353012418
## [1597,]          1.25476876          -0.19661738 -0.533386883  0.705287243
## [1598,]          1.54157134          -0.07501955 -0.676445826  1.676875006
## [1599,]          0.20315930          -0.13581846 -0.665848867  0.510969691
##           sulphates     alcohol
##    [1,] -0.57902538 -0.95994580
##    [2,]  0.12891007 -0.58459423
##    [3,] -0.04807379 -0.58459423
##    [4,] -0.46103614 -0.58459423
##    [5,] -0.57902538 -0.95994580
##    [6,] -0.57902538 -0.95994580
##    [7,] -1.16897159 -0.95994580
##    [8,] -1.10997697 -0.39691844
##    [9,] -0.52003076 -0.86610790
##   [10,]  0.83684552  0.07227102
##   [11,] -0.69701462 -1.14762158
##   [12,]  0.83684552  0.07227102
##   [13,] -0.81500386 -0.49075633
##   [14,]  5.32043671 -1.24145947
##   [15,]  1.30880249 -1.14762158
##   [16,]  1.60377559 -1.14762158
##   [17,]  0.54187242  0.07227102
##   [18,]  3.66858733 -1.05378369
##   [19,] -0.93299310 -1.33529737
##   [20,]  2.48869491 -1.14762158
##   [21,] -0.75600924 -0.95994580
##   [22,] -0.04807379 -0.67843212
##   [23,]  1.48578635 -0.86610790
##   [24,] -0.75600924 -0.95994580
##   [25,] -0.16606303 -0.67843212
##   [26,] -0.57902538 -1.05378369
##   [27,] -0.40204152 -0.86610790
##   [28,]  1.48578635 -0.86610790
##   [29,] -0.63802000 -0.95994580
##   [30,] -0.40204152 -0.58459423
##   [31,] -0.69701462 -0.30308055
##   [32,] -0.52003076  0.16610891
##   [33,]  0.01092083 -0.58459423
##   [34,] -0.81500386 -0.95994580
##   [35,] -0.63802000 -1.14762158
##   [36,] -0.63802000 -0.77227001
##   [37,] -0.34304689  0.35378470
##   [38,]  0.42388318 -0.67843212
##   [39,] -1.05098235 -0.58459423
##   [40,]  1.01382939  0.07227102
##   [41,]  1.01382939  0.07227102
##   [42,] -0.87399848 -1.05378369
##   [43,]  1.42679173  0.07227102
##   [44,]  3.19663036 -0.11540476
##   [45,] -0.81500386 -0.86610790
##   [46,] -0.57902538  2.51205623
##   [47,]  0.42388318 -1.14762158
##   [48,] -0.46103614 -0.86610790
##   [49,] -0.57902538 -1.14762158
##   [50,] -0.46103614 -1.14762158
##   [51,]  0.48287780 -1.14762158
##   [52,] -0.16606303 -0.95994580
##   [53,] -0.10706841 -0.95994580
##   [54,] -0.57902538 -0.95994580
##   [55,] -0.16606303 -0.20924266
##   [56,] -0.75600924 -0.86610790
##   [57,] -0.16606303 -0.77227001
##   [58,]  0.65986166 -0.95994580
##   [59,] -0.40204152 -0.39691844
##   [60,] -0.69701462 -0.95994580
##   [61,] -0.10706841 -1.14762158
##   [62,]  0.30589393 -1.05378369
##   [63,] -0.22505765 -0.86610790
##   [64,] -0.52003076 -0.58459423
##   [65,] -1.58193393  0.44762259
##   [66,] -1.58193393  0.44762259
##   [67,] -0.46103614 -0.77227001
##   [68,] -0.46103614  0.25994681
##   [69,]  0.77785090  0.25994681
##   [70,]  1.72176484  0.07227102
##   [71,] -0.69701462 -0.86610790
##   [72,] -1.05098235 -0.86610790
##   [73,] -1.05098235 -0.86610790
##   [74,] -0.75600924 -1.14762158
##   [75,]  0.95483476 -0.77227001
##   [76,]  0.01092083  0.07227102
##   [77,]  0.01092083  0.07227102
##   [78,] -0.63802000  0.25994681
##   [79,] -0.81500386 -0.30308055
##   [80,]  2.72467339 -1.24145947
##   [81,] -0.57902538 -1.14762158
##   [82,]  3.66858733 -0.95994580
##   [83,] -0.52003076 -1.24145947
##   [84,]  2.84266263 -0.95994580
##   [85,]  0.71885628 -0.11540476
##   [86,] -0.40204152 -0.30308055
##   [87,]  7.62122693 -0.49075633
##   [88,] -0.10706841 -0.77227001
##   [89,]  3.31461960 -0.86610790
##   [90,] -0.75600924 -1.33529737
##   [91,] -0.69701462 -0.86610790
##   [92,]  7.62122693 -0.49075633
##   [93,]  7.79821079 -0.58459423
##   [94,] -0.10706841 -0.77227001
##   [95,] -1.05098235  0.07227102
##   [96,] -0.34304689  2.32438044
##   [97,] -0.57902538  0.25994681
##   [98,] -0.16606303 -1.14762158
##   [99,] -0.57902538 -0.58459423
##  [100,] -0.40204152 -1.33529737
##  [101,] -0.28405227 -0.20924266
##  [102,] -0.57902538 -0.02156687
##  [103,] -0.40204152 -1.33529737
##  [104,] -0.87399848 -1.14762158
##  [105,] -1.05098235 -0.95994580
##  [106,] -0.87399848 -1.14762158
##  [107,]  3.84557119 -1.05378369
##  [108,]  0.77785090 -1.05378369
##  [109,]  0.83684552 -0.77227001
##  [110,]  0.18790469 -1.05378369
##  [111,]  1.60377559 -0.86610790
##  [112,]  0.01092083 -0.58459423
##  [113,]  0.01092083 -0.58459423
##  [114,]  0.06991545 -0.67843212
##  [115,]  1.60377559 -0.86610790
##  [116,] -0.16606303  0.07227102
##  [117,] -0.28405227 -0.39691844
##  [118,] -0.93299310 -0.95994580
##  [119,] -0.34304689  0.44762259
##  [120,] -0.69701462 -1.14762158
##  [121,] -0.52003076 -1.33529737
##  [122,] -0.34304689  0.44762259
##  [123,] -0.81500386 -1.14762158
##  [124,] -0.75600924 -0.86610790
##  [125,] -1.05098235 -0.86610790
##  [126,]  0.24689931 -0.95994580
##  [127,] -0.99198772  0.44762259
##  [128,] -1.05098235  0.44762259
##  [129,]  1.54478097  0.07227102
##  [130,] -0.52003076 -0.95994580
##  [131,]  0.01092083 -0.95994580
##  [132,] -0.16606303  2.41821834
##  [133,] -0.16606303  2.41821834
##  [134,] -0.46103614 -0.58459423
##  [135,] -0.63802000 -0.49075633
##  [136,]  0.95483476 -0.77227001
##  [137,]  0.65986166 -0.86610790
##  [138,] -0.10706841 -1.14762158
##  [139,] -0.69701462 -0.86610790
##  [140,] -0.69701462 -0.86610790
##  [141,]  0.95483476 -0.77227001
##  [142,]  0.65986166 -0.86610790
##  [143,]  0.77785090  3.35659726
##  [144,] -0.46103614 -0.95994580
##  [145,]  0.77785090  3.35659726
##  [146,] -0.22505765 -0.95994580
##  [147,] -0.81500386 -0.39691844
##  [148,]  0.83684552 -1.05378369
##  [149,] -0.46103614 -0.20924266
##  [150,] -0.28405227  0.07227102
##  [151,] -0.75600924 -0.11540476
##  [152,]  7.91620003 -0.95994580
##  [153,] -0.69701462 -0.30308055
##  [154,] -0.69701462 -0.30308055
##  [155,]  0.36488856  0.07227102
##  [156,]  0.30589393  0.07227102
##  [157,]  0.36488856  0.07227102
##  [158,]  0.30589393  0.07227102
##  [159,] -0.93299310 -1.05378369
##  [160,] -0.52003076 -1.05378369
##  [161,] -0.57902538 -0.77227001
##  [162,]  2.48869491 -1.14762158
##  [163,] -0.57902538 -0.39691844
##  [164,] -0.99198772 -0.95994580
##  [165,] -0.99198772 -0.95994580
##  [166,] -0.22505765 -0.86610790
##  [167,] -0.81500386 -0.20924266
##  [168,] -1.05098235 -1.33529737
##  [169,] -0.63802000 -0.02156687
##  [170,]  5.49742057 -0.86610790
##  [171,] -1.93590166 -1.24145947
##  [172,] -0.28405227 -1.14762158
##  [173,] -0.28405227 -1.14762158
##  [174,] -0.52003076  1.01064995
##  [175,] -1.10997697 -0.86610790
##  [176,]  0.71885628 -0.86610790
##  [177,] -1.10997697 -0.86610790
##  [178,] -0.28405227  0.07227102
##  [179,] -0.57902538 -0.77227001
##  [180,] -0.40204152 -0.86610790
##  [181,] -0.40204152 -0.86610790
##  [182,]  2.13472718 -1.05378369
##  [183,] -0.81500386 -1.05378369
##  [184,] -0.46103614 -1.05378369
##  [185,] -0.46103614 -1.05378369
##  [186,] -0.75600924 -0.67843212
##  [187,] -0.63802000 -1.14762158
##  [188,] -0.99198772 -0.67843212
##  [189,] -0.63802000 -0.86610790
##  [190,] -0.63802000 -0.86610790
##  [191,] -0.22505765 -0.95994580
##  [192,] -0.22505765 -0.58459423
##  [193,] -0.28405227 -0.86610790
##  [194,] -0.63802000 -0.67843212
##  [195,] -0.63802000 -0.67843212
##  [196,] -0.69701462 -0.95994580
##  [197,] -0.40204152 -0.20924266
##  [198,]  1.83975408 -0.30308055
##  [199,]  1.13181863  2.41821834
##  [200,] -1.34595545  0.91681205
##  [201,]  0.95483476 -0.11540476
##  [202,]  2.19372180 -1.05378369
##  [203,]  0.77785090 -0.86610790
##  [204,] -0.63802000 -1.14762158
##  [205,] -0.57902538 -1.14762158
##  [206,]  0.65986166  0.35378470
##  [207,]  0.65986166  0.35378470
##  [208,] -0.75600924 -1.05378369
##  [209,]  0.06991545 -0.95994580
##  [210,]  1.30880249  0.07227102
##  [211,]  1.19081325  1.85519098
##  [212,] -0.57902538 -0.39691844
##  [213,]  0.06991545 -0.20924266
##  [214,] -1.34595545 -0.30308055
##  [215,]  0.30589393 -0.58459423
##  [216,]  0.60086704  0.07227102
##  [217,] -0.52003076  0.54146048
##  [218,] -0.63802000 -1.24145947
##  [219,] -0.69701462 -0.67843212
##  [220,] -0.34304689 -0.86610790
##  [221,] -0.40204152 -0.95994580
##  [222,] -0.52003076 -0.95994580
##  [223,] -0.34304689 -0.86610790
##  [224,] -0.34304689 -0.39691844
##  [225,] -0.52003076 -0.02156687
##  [226,] -0.46103614  0.07227102
##  [227,]  5.61540982 -0.86610790
##  [228,] -0.16606303 -0.58459423
##  [229,] -0.46103614  0.07227102
##  [230,] -0.93299310  0.54146048
##  [231,] -0.22505765  1.66751520
##  [232,] -0.81500386 -0.49075633
##  [233,]  0.24689931 -0.77227001
##  [234,] -0.93299310  0.54146048
##  [235,] -0.63802000 -1.33529737
##  [236,] -0.46103614 -1.33529737
##  [237,] -0.46103614 -1.33529737
##  [238,] -0.46103614 -1.14762158
##  [239,] -0.46103614 -1.33529737
##  [240,] -0.63802000 -1.33529737
##  [241,]  2.54768953 -1.05378369
##  [242,]  0.30589393  0.44762259
##  [243,] -0.99198772 -0.58459423
##  [244,]  1.07282401 -1.14762158
##  [245,]  1.07282401 -1.14762158
##  [246,]  1.78075946 -0.49075633
##  [247,] -0.81500386 -0.86610790
##  [248,] -1.22796621 -1.05378369
##  [249,] -1.05098235 -0.58459423
##  [250,]  1.78075946 -0.49075633
##  [251,]  0.71885628 -0.39691844
##  [252,]  0.24689931 -0.49075633
##  [253,] -0.75600924  0.07227102
##  [254,] -0.40204152 -0.86610790
##  [255,]  0.24689931 -0.49075633
##  [256,] -0.52003076 -1.05378369
##  [257,] -0.22505765 -1.14762158
##  [258,]  0.06991545 -1.14762158
##  [259,]  3.55059808 -0.95994580
##  [260,]  0.83684552  0.07227102
##  [261,] -0.04807379 -1.05378369
##  [262,] -0.34304689 -0.95994580
##  [263,] -0.52003076 -0.39691844
##  [264,]  0.06991545 -1.05378369
##  [265,]  1.24980787  0.44762259
##  [266,]  0.36488856 -0.20924266
##  [267,]  0.36488856 -0.58459423
##  [268,]  1.19081325  2.23054255
##  [269,]  1.48578635 -0.95994580
##  [270,]  1.83975408 -0.30308055
##  [271,]  0.06991545  0.25994681
##  [272,]  1.83975408 -0.30308055
##  [273,]  0.71885628 -0.30308055
##  [274,] -0.10706841 -0.95994580
##  [275,]  0.65986166 -0.95994580
##  [276,]  0.06991545  0.25994681
##  [277,]  1.48578635 -0.95994580
##  [278,]  1.83975408 -0.30308055
##  [279,]  0.95483476  2.04286677
##  [280,]  0.65986166  0.07227102
##  [281,]  0.95483476 -1.05378369
##  [282,]  2.48869491 -0.49075633
##  [283,] -0.52003076 -1.24145947
##  [284,]  0.65986166  0.07227102
##  [285,]  0.30589393 -0.58459423
##  [286,]  0.30589393 -0.58459423
##  [287,]  0.60086704 -0.11540476
##  [288,]  0.24689931 -0.11540476
##  [289,]  1.19081325  0.16610891
##  [290,]  1.72176484 -1.14762158
##  [291,]  1.19081325  0.16610891
##  [292,]  0.30589393  0.07227102
##  [293,] -0.10706841 -0.11540476
##  [294,] -0.34304689 -0.30308055
##  [295,]  0.89584014 -0.86610790
##  [296,] -0.10706841 -0.86610790
##  [297,] -0.81500386 -0.49075633
##  [298,]  0.42388318 -0.77227001
##  [299,]  0.83684552 -0.67843212
##  [300,]  0.30589393 -0.77227001
##  [301,] -0.40204152  0.25994681
##  [302,] -0.10706841 -0.30308055
##  [303,]  0.36488856 -0.39691844
##  [304,] -0.69701462 -0.86610790
##  [305,] -0.81500386 -1.14762158
##  [306,] -0.40204152 -1.05378369
##  [307,] -0.81500386 -0.95994580
##  [308,] -0.22505765 -0.86610790
##  [309,] -0.16606303 -0.86610790
##  [310,] -0.75600924 -0.86610790
##  [311,] -0.40204152 -1.05378369
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## [1477,]  0.54187242 -1.52297315
## [1478,]  1.30880249  2.98124569
## [1479,] -0.81500386 -0.20924266
## [1480,]  0.12891007  0.16610891
## [1481,] -0.22505765 -0.30308055
## [1482,]  0.12891007  0.16610891
## [1483,] -0.52003076 -0.11540476
## [1484,] -0.28405227  0.25994681
## [1485,] -0.10706841  0.44762259
## [1486,] -0.63802000 -0.67843212
## [1487,] -0.34304689 -0.11540476
## [1488,]  0.71885628  0.16610891
## [1489,] -0.46103614  0.91681205
## [1490,]  0.60086704  0.35378470
## [1491,] -0.57902538  1.85519098
## [1492,] -0.46103614  0.91681205
## [1493,] -0.69701462  1.43292046
## [1494,] -0.40204152 -0.67843212
## [1495,]  0.24689931 -0.39691844
## [1496,]  0.89584014  0.16610891
## [1497,] -0.40204152 -0.67843212
## [1498,] -0.16606303  1.01064995
## [1499,] -0.46103614  0.35378470
## [1500,] -0.16606303  1.01064995
## [1501,] -0.75600924 -0.77227001
## [1502,] -0.75600924 -0.95994580
## [1503,] -0.69701462 -0.58459423
## [1504,]  0.18790469  0.54146048
## [1505,] -0.63802000  0.91681205
## [1506,] -0.16606303 -0.44383739
## [1507,]  0.01092083  0.35378470
## [1508,] -0.63802000  0.91681205
## [1509,]  0.36488856  0.16610891
## [1510,]  0.24689931  0.63529838
## [1511,]  0.65986166 -0.67843212
## [1512,]  0.06991545 -0.58459423
## [1513,] -0.04807379 -0.02156687
## [1514,] -0.34304689  0.07227102
## [1515,]  0.36488856 -1.11634228
## [1516,]  0.36488856 -1.10070263
## [1517,]  1.83975408  0.16610891
## [1518,]  1.01382939 -0.11540476
## [1519,] -0.16606303  0.07227102
## [1520,] -0.46103614 -0.20924266
## [1521,]  1.01382939 -0.11540476
## [1522,] -1.34595545 -1.28837842
## [1523,]  1.83975408  0.16610891
## [1524,] -0.34304689 -0.02156687
## [1525,]  0.71885628 -0.39691844
## [1526,] -0.10706841 -0.67843212
## [1527,] -0.04807379 -0.77227001
## [1528,]  0.01092083  0.35378470
## [1529,]  0.06991545 -0.30308055
## [1530,] -0.34304689 -0.20924266
## [1531,]  0.18790469  0.82297416
## [1532,]  0.01092083 -0.20924266
## [1533,]  0.12891007 -0.49075633
## [1534,] -0.28405227 -1.33529737
## [1535,] -0.22505765  1.19832573
## [1536,] -0.40204152 -0.67843212
## [1537,]  0.12891007 -0.11540476
## [1538,] -0.10706841 -0.20924266
## [1539,] -0.16606303  1.47983941
## [1540,]  0.71885628 -0.49075633
## [1541,] -0.16606303  1.10448784
## [1542,]  0.60086704  0.44762259
## [1543,] -0.57902538  0.30686575
## [1544,] -0.52003076 -0.02156687
## [1545,]  0.89584014  0.72913627
## [1546,] -0.10706841 -0.30308055
## [1547,] -0.28405227 -0.20924266
## [1548,] -0.87399848  1.57367730
## [1549,] -0.46103614 -0.02156687
## [1550,]  0.24689931  0.91681205
## [1551,] -0.75600924 -0.86610790
## [1552,] -0.69701462 -0.95994580
## [1553,]  0.01092083  0.82297416
## [1554,] -0.34304689 -0.95994580
## [1555,] -0.34304689  0.54146048
## [1556,]  0.12891007  0.11918997
## [1557,] -0.57902538 -0.49075633
## [1558,] -0.34304689  0.54146048
## [1559,] -0.57902538 -0.86610790
## [1560,] -0.81500386 -0.49075633
## [1561,] -0.81500386 -0.49075633
## [1562,] -0.81500386 -0.49075633
## [1563,] -0.69701462 -0.30308055
## [1564,] -0.69701462 -0.30308055
## [1565,] -0.69701462 -0.30308055
## [1566,]  0.95483476  0.44762259
## [1567,]  0.30589393  0.72913627
## [1568,] -0.69701462 -0.30308055
## [1569,] -0.40204152 -1.14762158
## [1570,] -0.52003076  1.01064995
## [1571,]  1.60377559  1.85519098
## [1572,] -0.04807379  0.63529838
## [1573,] -0.87399848 -0.86610790
## [1574,]  0.06991545  1.94902887
## [1575,] -1.05098235  0.07227102
## [1576,] -0.10706841  1.29216362
## [1577,]  0.71885628  0.35378470
## [1578,] -0.34304689  1.38600152
## [1579,]  0.06991545  0.82297416
## [1580,] -0.34304689  0.82297416
## [1581,] -0.34304689  1.38600152
## [1582,] -0.34304689  0.82297416
## [1583,] -0.93299310  1.38600152
## [1584,] -0.22505765 -0.58459423
## [1585,]  0.83684552  1.10448784
## [1586,]  1.07282401  1.01064995
## [1587,]  1.13181863  0.91681205
## [1588,]  0.01092083  0.44762259
## [1589,]  0.71885628  2.23054255
## [1590,] -0.69701462 -1.14762158
## [1591,]  0.95483476  1.10448784
## [1592,] -0.57902538  1.10448784
## [1593,]  0.54187242  0.54146048
## [1594,]  0.95483476 -0.86610790
## [1595,] -0.46103614  0.07227102
## [1596,]  0.60086704  0.72913627
## [1597,]  0.54187242  0.54146048
## [1598,]  0.30589393 -0.20924266
## [1599,]  0.01092083  0.54146048
## attr(,"scaled:center")
##        fixed acidity     volatile acidity          citric acid 
##           8.31963727           0.52782051           0.27097561 
##       residual sugar            chlorides  free sulfur dioxide 
##           2.53880550           0.08746654          15.87492183 
## total sulfur dioxide              density                   pH 
##          46.46779237           0.99674668           3.31111320 
##            sulphates              alcohol 
##           0.65814884          10.42298311 
## attr(,"scaled:scale")
##        fixed acidity     volatile acidity          citric acid 
##          1.741096318          0.179059704          0.194801137 
##       residual sugar            chlorides  free sulfur dioxide 
##          1.409928060          0.047065302         10.460156970 
## total sulfur dioxide              density                   pH 
##         32.895324478          0.001887334          0.154386465 
##            sulphates              alcohol 
##          0.169506980          1.065667582

The subset of data represented by matsurv contains standardized values of three chemical properties (fixed acidity, volatile acidity, citric acid) for wines categorized as “good” quality. Each row represents a different wine sample.

matsurv <- matstand[quality == "good",]

The variance of alcohol content significantly differs between wines of “good” quality and those of “bad” quality.

This is supported by the calculated F-statistic of approximately 2.1294 and the associated p-value, which is virtually zero.

The confidence interval for the ratio of variances (1.852 to 2.446) further confirms this difference.

var.test(alcohol[quality=="good"],alcohol[quality=="bad"])
## 
##  F test to compare two variances
## 
## data:  alcohol[quality == "good"] and alcohol[quality == "bad"]
## F = 2.1294, num df = 854, denom df = 743, p-value < 0.00000000000000022
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.852111 2.446455
## sample estimates:
## ratio of variances 
##           2.129366
matnosurv <- matstand[quality == "bad",]
vecmediansurv <- apply(matsurv, 2, median)

Fixed Acidity: The median fixed acidity is slightly below the mean value.

Volatile Acidity: The median volatile acidity is moderately negative, indicating a lower level compared to the mean.

Citric Acid: The median citric acid content is positive, suggesting a higher concentration compared to the mean.

Residual Sugar: The median residual sugar content is negative, indicating a lower level compared to the mean.

Chlorides: The median chloride content is negative, suggesting a lower concentration compared to the mean.

Free Sulfur Dioxide: The median free sulfur dioxide level is negative, indicating a lower concentration compared to the mean.

Total Sulfur Dioxide: The median total sulfur dioxide level is moderately negative, suggesting a lower concentration compared to the mean.

Density: The median density is negative, indicating a lower value compared to the mean.

pH: The median pH value is close to zero, suggesting it is around the mean level.

Sulphates: The median sulphates content is positive, indicating a higher concentration compared to the mean.

Alcohol: The median alcohol content is positive, suggesting a higher concentration compared to the mean.

vecmediannosurv <- apply(matnosurv, 2, median)
matabsdevsurv <- abs(matsurv - matrix(rep(vecmediansurv,nrow(matsurv)),nrow=nrow(matsurv), byrow=TRUE))

matabsdevnosurv <- abs(matnosurv - matrix(rep(vecmediannosurv,nrow(matnosurv)),nrow=nrow(matnosurv), byrow=TRUE))
matabsdev.all <- rbind(matabsdevsurv,matabsdevnosurv)
matabsdev.all <- data.frame(quality, matabsdev.all)

t.test(matabsdev.all$alcohol[quality == "good"],matabsdev.all$alcohol[quality == "bad"], alternative="less",var.equal = TRUE)
## 
##  Two Sample t-test
## 
## data:  matabsdev.all$alcohol[quality == "good"] and matabsdev.all$alcohol[quality == "bad"]
## t = -0.35819, df = 1597, p-value = 0.3601
## alternative hypothesis: true difference in means is less than 0
## 95 percent confidence interval:
##        -Inf 0.03840288
## sample estimates:
## mean of x mean of y 
## 0.6874677 0.6981506

The calculated t-value of approximately -0.35819 suggests that the difference in means of the absolute deviations of alcohol content between wines categorized as “good” quality and “bad” quality is relatively small.

The alternative hypothesis states that the true difference in means is less than 0.

Based on the results of the one-sided t-test, with a significance level of 0.05, there is insufficient evidence to reject the null hypothesis. Therefore, we cannot conclude that the absolute deviations of alcohol content between wines categorized as “good” quality and “bad” quality are significantly different.

t.test(matabsdev.all$fixed.acidity[quality == "good"],matabsdev.all$fixed.acidity[quality == "bad"], alternative="less",var.equal = TRUE)
## 
##  Two Sample t-test
## 
## data:  matabsdev.all$fixed.acidity[quality == "good"] and matabsdev.all$fixed.acidity[quality == "bad"]
## t = 0.2995, df = 1597, p-value = 0.6177
## alternative hypothesis: true difference in means is less than 0
## 95 percent confidence interval:
##        -Inf 0.06746675
## sample estimates:
## mean of x mean of y 
## 0.7598224 0.7494351
d.all <- data.frame(quality,sqrt(rowSums(matabsdev.all[,-1]^2)))
d.all
##      quality sqrt.rowSums.matabsdev.all....1..2..
## 1        bad                            3.1094172
## 2        bad                            2.7487767
## 3        bad                            2.2315687
## 4       good                            3.5084705
## 5        bad                            6.7357248
## 6        bad                            2.9234690
## 7        bad                            1.9230447
## 8       good                            2.3230869
## 9       good                            2.6338541
## 10       bad                            7.2748045
## 11       bad                            3.6480682
## 12       bad                            1.9049358
## 13       bad                            1.3579531
## 14       bad                            5.7424004
## 15       bad                            2.3480704
## 16       bad                            2.3824993
## 17      good                            2.8302881
## 18       bad                            1.8162875
## 19       bad                            1.6337068
## 20      good                            2.6772600
## 21      good                            2.1117324
## 22       bad                            2.9933050
## 23       bad                            2.2530617
## 24       bad                            8.7078865
## 25      good                            8.7078865
## 26       bad                            5.3922555
## 27       bad                            1.9835400
## 28       bad                            1.4100988
## 29       bad                            1.0060966
## 30      good                            1.9835400
## 31       bad                            2.5906827
## 32      good                            2.4895080
## 33       bad                            2.0373331
## 34      good                            1.3599465
## 35       bad                            2.1281213
## 36      good                            2.0601085
## 37      good                            3.1838001
## 38      good                            2.0601085
## 39       bad                            2.3232307
## 40       bad                            2.3418010
## 41       bad                            3.7226408
## 42       bad                            5.5151942
## 43      good                            5.5151942
## 44       bad                            1.6533260
## 45       bad                            1.8661370
## 46       bad                            1.8239409
## 47       bad                            3.1623502
## 48       bad                            1.8142804
## 49       bad                            2.2557583
## 50       bad                            1.9460732
## 51       bad                            1.9460732
## 52      good                            2.2819920
## 53      good                            2.0542186
## 54       bad                            2.6129454
## 55      good                            2.4730460
## 56       bad                            3.6645577
## 57       bad                            5.0119847
## 58       bad                            2.0996198
## 59       bad                            1.8306887
## 60      good                            4.1379814
## 61       bad                            4.1379814
## 62       bad                            2.9874504
## 63      good                            2.9147797
## 64       bad                            2.1004168
## 65       bad                            3.1067383
## 66       bad                            2.3415566
## 67       bad                            2.0509125
## 68       bad                            1.7763474
## 69       bad                            1.9703671
## 70      good                            8.4947297
## 71      good                            1.9703671
## 72       bad                            4.2470814
## 73       bad                            1.9302936
## 74       bad                            1.9487319
## 75       bad                            3.7593121
## 76       bad                            2.6766021
## 77       bad                            2.6766021
## 78      good                            2.6017471
## 79       bad                            2.6766021
## 80       bad                            3.7593121
## 81       bad                            3.3699531
## 82       bad                            3.6961381
## 83       bad                            5.3156611
## 84       bad                            5.3156611
## 85      good                            3.6275507
## 86       bad                            2.0571148
## 87      good                            3.6275507
## 88       bad                            2.5791762
## 89       bad                            2.3667146
## 90       bad                            2.3667146
## 91       bad                            2.5779837
## 92      good                            3.0333897
## 93       bad                            2.6870555
## 94       bad                            3.8273458
## 95       bad                            4.1256079
## 96      good                            2.4872682
## 97       bad                            4.1256079
## 98       bad                            2.4872682
## 99       bad                            3.8273458
## 100     good                            4.1256079
## 101     good                            4.1382507
## 102     good                            3.0427579
## 103     good                            3.5892993
## 104      bad                            7.0367968
## 105      bad                            3.0427579
## 106      bad                            3.7221912
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## 108      bad                            2.0583803
## 109     good                            2.0583803
## 110      bad                            2.4642629
## 111      bad                            1.6892112
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## 116     good                            3.9959836
## 117     good                            4.0440544
## 118     good                            2.0178999
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## 120     good                            2.7355069
## 121      bad                            2.6913606
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## 129     good                            7.1719630
## 130      bad                            3.7960361
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## 1494     bad                            2.2266092
## 1495    good                            2.2266092
## 1496    good                            2.0990092
## 1497     bad                            3.0249080
## 1498    good                            1.3972022
## 1499    good                            1.3972022
## 1500    good                            3.1034169
## 1501     bad                            3.6088633
## 1502     bad                            1.6990020
## 1503     bad                            2.5203648
## 1504    good                            1.1757489
## 1505    good                            2.2791295
## 1506     bad                            1.8266720
## 1507    good                            1.9948022
## 1508    good                            3.5563872
## 1509    good                            3.5563872
## 1510     bad                            3.2329625
## 1511    good                            3.6107036
## 1512     bad                            2.9168627
## 1513    good                            3.6107036
## 1514    good                            2.3871395
## 1515    good                            3.3763363
## 1516    good                            2.3871395
## 1517     bad                            1.6189337
## 1518    good                            2.6315758
## 1519     bad                            2.1994920
## 1520     bad                            2.1906761
## 1521    good                            4.3650671
## 1522     bad                            1.5951100
## 1523     bad                            3.8232424
## 1524     bad                            3.3829256
## 1525    good                            2.4012711
## 1526     bad                            1.7716557
## 1527    good                            3.0534690
## 1528    good                            1.7716557
## 1529    good                            1.9238624
## 1530    good                            2.9761321
## 1531    good                            2.1424128
## 1532     bad                            2.1424128
## 1533    good                            2.4446596
## 1534     bad                            2.9095561
## 1535    good                            2.3998841
## 1536    good                            2.3998841
## 1537    good                            3.3331056
## 1538    good                            2.4803986
## 1539     bad                            3.4413687
## 1540     bad                            3.9318559
## 1541    good                            2.6336330
## 1542    good                           10.0669714
## 1543    good                           10.0669714
## 1544    good                            3.5590159
## 1545    good                            3.1446521
## 1546    good                            3.2807323
## 1547     bad                            3.1446521
## 1548     bad                            2.4445974
## 1549     bad                            2.7497861
## 1550    good                            3.1800703
## 1551     bad                            1.2493561
## 1552     bad                            1.5709388
## 1553    good                            2.8388148
## 1554     bad                            4.0620725
## 1555    good                            4.0620725
## 1556    good                            3.7690529
## 1557     bad                            3.2792845
## 1558    good                            3.2792845
## 1559     bad                            2.0092709
## 1560     bad                            2.4424194
## 1561     bad                            0.7194663
## 1562     bad                            2.6142938
## 1563     bad                            3.4481979
## 1564     bad                            1.7163719
## 1565     bad                            3.2885724
## 1566    good                            2.0621075
## 1567    good                            1.7271216
## 1568     bad                            1.7693906
## 1569     bad                            3.2885724
## 1570    good                            2.0709884
## 1571    good                            1.5462119
## 1572    good                            2.5067011
## 1573     bad                            2.5710746
## 1574    good                            3.1648003
## 1575    good                            2.8412654
## 1576    good                            1.5813949
## 1577    good                            3.7473054
## 1578    good                            3.1511710
## 1579    good                            1.8155693
## 1580     bad                            1.7575474
## 1581    good                            1.7560371
## 1582     bad                            2.6153651
## 1583     bad                            7.1697155
## 1584     bad                            3.2039983
## 1585    good                            3.2039983
## 1586    good                            3.2039983
## 1587    good                            1.4648394
## 1588    good                            1.4648394
## 1589    good                            1.4648394
## 1590     bad                            1.4648394
## 1591    good                            1.4605947
## 1592    good                            2.8808040
## 1593    good                            3.1210227
## 1594    good                            3.1210227
## 1595     bad                            3.6012498
## 1596    good                            2.7460387
## 1597    good                            4.5210542
## 1598     bad                            2.6327556
## 1599    good                            2.9655064
colnames(d.all)[2] <- "dij"
d.all
##      quality        dij
## 1        bad  3.1094172
## 2        bad  2.7487767
## 3        bad  2.2315687
## 4       good  3.5084705
## 5        bad  6.7357248
## 6        bad  2.9234690
## 7        bad  1.9230447
## 8       good  2.3230869
## 9       good  2.6338541
## 10       bad  7.2748045
## 11       bad  3.6480682
## 12       bad  1.9049358
## 13       bad  1.3579531
## 14       bad  5.7424004
## 15       bad  2.3480704
## 16       bad  2.3824993
## 17      good  2.8302881
## 18       bad  1.8162875
## 19       bad  1.6337068
## 20      good  2.6772600
## 21      good  2.1117324
## 22       bad  2.9933050
## 23       bad  2.2530617
## 24       bad  8.7078865
## 25      good  8.7078865
## 26       bad  5.3922555
## 27       bad  1.9835400
## 28       bad  1.4100988
## 29       bad  1.0060966
## 30      good  1.9835400
## 31       bad  2.5906827
## 32      good  2.4895080
## 33       bad  2.0373331
## 34      good  1.3599465
## 35       bad  2.1281213
## 36      good  2.0601085
## 37      good  3.1838001
## 38      good  2.0601085
## 39       bad  2.3232307
## 40       bad  2.3418010
## 41       bad  3.7226408
## 42       bad  5.5151942
## 43      good  5.5151942
## 44       bad  1.6533260
## 45       bad  1.8661370
## 46       bad  1.8239409
## 47       bad  3.1623502
## 48       bad  1.8142804
## 49       bad  2.2557583
## 50       bad  1.9460732
## 51       bad  1.9460732
## 52      good  2.2819920
## 53      good  2.0542186
## 54       bad  2.6129454
## 55      good  2.4730460
## 56       bad  3.6645577
## 57       bad  5.0119847
## 58       bad  2.0996198
## 59       bad  1.8306887
## 60      good  4.1379814
## 61       bad  4.1379814
## 62       bad  2.9874504
## 63      good  2.9147797
## 64       bad  2.1004168
## 65       bad  3.1067383
## 66       bad  2.3415566
## 67       bad  2.0509125
## 68       bad  1.7763474
## 69       bad  1.9703671
## 70      good  8.4947297
## 71      good  1.9703671
## 72       bad  4.2470814
## 73       bad  1.9302936
## 74       bad  1.9487319
## 75       bad  3.7593121
## 76       bad  2.6766021
## 77       bad  2.6766021
## 78      good  2.6017471
## 79       bad  2.6766021
## 80       bad  3.7593121
## 81       bad  3.3699531
## 82       bad  3.6961381
## 83       bad  5.3156611
## 84       bad  5.3156611
## 85      good  3.6275507
## 86       bad  2.0571148
## 87      good  3.6275507
## 88       bad  2.5791762
## 89       bad  2.3667146
## 90       bad  2.3667146
## 91       bad  2.5779837
## 92      good  3.0333897
## 93       bad  2.6870555
## 94       bad  3.8273458
## 95       bad  4.1256079
## 96      good  2.4872682
## 97       bad  4.1256079
## 98       bad  2.4872682
## 99       bad  3.8273458
## 100     good  4.1256079
## 101     good  4.1382507
## 102     good  3.0427579
## 103     good  3.5892993
## 104      bad  7.0367968
## 105      bad  3.0427579
## 106      bad  3.7221912
## 107      bad  2.1751057
## 108      bad  2.0583803
## 109     good  2.0583803
## 110      bad  2.4642629
## 111      bad  1.6892112
## 112      bad  4.9145478
## 113      bad  1.7166097
## 114     good  2.8811580
## 115      bad  3.1956059
## 116     good  3.9959836
## 117     good  4.0440544
## 118     good  2.0178999
## 119     good  3.1956059
## 120     good  2.7355069
## 121      bad  2.6913606
## 122     good  1.4961443
## 123      bad  3.2902721
## 124      bad  2.5764512
## 125      bad  3.2902721
## 126      bad  2.5764512
## 127      bad  3.4971299
## 128      bad  7.1719630
## 129     good  7.1719630
## 130      bad  3.7960361
## 131      bad  4.4740508
## 132      bad  3.1003743
## 133      bad  3.1003743
## 134     good  3.2361905
## 135     good  2.1662291
## 136      bad  4.0314800
## 137      bad  2.2891956
## 138      bad  5.0870887
## 139      bad  5.6386729
## 140      bad  4.9323066
## 141      bad  2.5257255
## 142      bad  2.7016253
## 143     good  2.7016253
## 144      bad  3.7233686
## 145     good  3.7664135
## 146      bad  4.9414137
## 147      bad  2.6117727
## 148      bad  3.4973200
## 149     good  3.6714642
## 150     good  3.4760029
## 151     good  5.9768045
## 152      bad  3.4602253
## 153      bad  2.7631721
## 154      bad  3.9278236
## 155      bad  4.2827242
## 156      bad  2.2450033
## 157      bad  5.5778310
## 158      bad  2.8403870
## 159      bad  5.5778310
## 160     good  3.6335793
## 161      bad  2.7658167
## 162      bad  3.0146280
## 163     good  5.3114335
## 164      bad  4.4069787
## 165      bad  4.1576300
## 166      bad  3.6335793
## 167      bad  5.3949537
## 168      bad  1.6886019
## 169     good  2.1905379
## 170      bad  5.0782791
## 171      bad  2.1905379
## 172     good  2.1905379
## 173     good  2.3097814
## 174     good  2.2766556
## 175      bad  2.0417847
## 176      bad  2.3140928
## 177      bad  1.9246194
## 178     good  4.8890132
## 179      bad  5.0782791
## 180      bad  4.7439200
## 181      bad  3.0595960
## 182      bad  3.0595960
## 183      bad  1.9818465
## 184      bad  3.7692039
## 185     good  3.0472672
## 186      bad  1.7075901
## 187      bad  1.7548177
## 188      bad  3.5677908
## 189      bad  3.3683353
## 190      bad  2.7939159
## 191      bad  4.0749113
## 192     good  2.6753114
## 193      bad  3.3495868
## 194      bad  2.8124962
## 195      bad  3.9317484
## 196      bad  2.9141835
## 197      bad  3.9317484
## 198     good  2.8163883
## 199     good  2.5978242
## 200      bad  4.4782442
## 201     good  2.9141835
## 202      bad  4.1016394
## 203      bad  3.4132785
## 204      bad  2.9814509
## 205     good  3.3557543
## 206     good  3.4132785
## 207     good  4.8579610
## 208      bad  3.6124035
## 209      bad  6.8156804
## 210     good  1.8426739
## 211     good  3.8951136
## 212     good  2.6698703
## 213     good  1.5179645
## 214      bad  3.7305091
## 215     good  3.7305091
## 216      bad  8.0115949
## 217      bad  2.1405208
## 218      bad  3.1208158
## 219      bad  4.5759987
## 220      bad  3.1208158
## 221     good  1.6020618
## 222      bad  3.9199732
## 223      bad  2.3361347
## 224     good  3.4395737
## 225      bad  3.9196148
## 226     good  2.0131409
## 227     good  3.9748279
## 228      bad  3.0655412
## 229     good  3.4259406
## 230      bad  2.4639725
## 231     good  2.8463328
## 232     good  4.1812158
## 233     good  2.8790888
## 234      bad  4.3006227
## 235     good  1.7025414
## 236     good  2.5753365
## 237     good  2.8931023
## 238     good  3.2157677
## 239     good  3.3564663
## 240     good  5.3174121
## 241      bad  2.5109123
## 242     good  2.2110330
## 243     good  2.5109123
## 244     good  3.3564663
## 245     good  2.2110330
## 246     good  5.3618519
## 247      bad  5.3618519
## 248      bad  3.2711002
## 249     good  3.2630894
## 250     good  2.9569144
## 251     good  3.1195580
## 252     good  3.6265362
## 253      bad  2.7979787
## 254      bad  4.6073022
## 255     good  2.7979787
## 256      bad  3.2331804
## 257      bad  3.0531470
## 258      bad  3.0531470
## 259      bad  4.3474851
## 260     good  2.6640753
## 261      bad  2.7387038
## 262      bad  2.9633872
## 263      bad  3.2536341
## 264      bad  2.7824047
## 265      bad  2.6635908
## 266     good  2.5411960
## 267      bad  2.7824047
## 268     good  2.4556012
## 269     good  5.0108299
## 270     good  3.6321307
## 271     good  3.2286884
## 272     good  6.2520272
## 273      bad  2.1012501
## 274      bad  2.7290704
## 275      bad  3.8926827
## 276     good  2.8455929
## 277     good  2.2568096
## 278     good  1.8126156
## 279     good  2.0589329
## 280     good  3.9099750
## 281     good  3.9099750
## 282     good  4.9293314
## 283      bad  2.1635891
## 284     good  4.9293314
## 285      bad  4.2506867
## 286      bad  4.2506867
## 287     good  4.3358957
## 288     good  2.6078468
## 289     good  3.5333759
## 290      bad  2.6078468
## 291     good  3.1272973
## 292      bad  3.8169177
## 293     good  2.7254717
## 294     good  3.6184886
## 295     good  5.3669502
## 296      bad  1.9185431
## 297      bad  3.5587125
## 298      bad  5.1369610
## 299      bad  2.8417472
## 300      bad  4.7895025
## 301     good  3.9916910
## 302     good  3.4038541
## 303      bad  2.0383804
## 304      bad  4.2664368
## 305      bad  4.4849322
## 306     good  4.4849322
## 307      bad  2.6699623
## 308     good  2.3821405
## 309     good  2.6856275
## 310     good  2.1569868
## 311     good  4.3967319
## 312     good  2.9803007
## 313     good  2.1411899
## 314      bad  6.0070141
## 315      bad  3.6670833
## 316     good  2.7205102
## 317      bad  1.8877590
## 318     good  1.8877590
## 319     good  1.5172745
## 320     good  3.1958499
## 321     good  4.6079898
## 322      bad  3.5875739
## 323      bad  0.8240033
## 324     good  6.0648990
## 325     good  2.6953901
## 326     good  3.9881250
## 327     good  2.2783951
## 328      bad  2.2783951
## 329     good  2.0505653
## 330      bad  2.9439448
## 331     good  3.6676536
## 332     good  3.8667243
## 333     good  3.8667243
## 334      bad  2.9794069
## 335     good  2.9794069
## 336     good  1.4672707
## 337     good  5.4725983
## 338      bad  2.6008941
## 339     good  2.6008941
## 340     good  3.2188417
## 341     good  4.5861900
## 342     good  2.6008941
## 343     good  2.5980619
## 344     good  1.4301010
## 345     good  2.0631391
## 346      bad  2.0649527
## 347     good  2.7185949
## 348     good  4.4074190
## 349     good  3.4195541
## 350     good  2.5313963
## 351     good  2.1709915
## 352     good  2.4178653
## 353      bad  2.0964313
## 354      bad  2.1709915
## 355     good  8.0928614
## 356     good  3.5883084
## 357      bad  4.2078398
## 358     good  2.5220107
## 359     good  2.6540081
## 360     good  2.7122070
## 361      bad  3.4561961
## 362     good  3.4561961
## 363      bad  2.9319246
## 364      bad  2.8640393
## 365     good  4.1994210
## 366     good  3.9299328
## 367     good  3.3247601
## 368      bad  2.4907974
## 369      bad  2.4907974
## 370     good  2.1250740
## 371      bad  2.9650356
## 372     good  2.9509178
## 373     good  2.0338402
## 374      bad  2.1974580
## 375     good  2.1974580
## 376     good  4.7137512
## 377     good  2.0433704
## 378     good  1.6199366
## 379     good  2.9372825
## 380     good  2.8180462
## 381     good  2.9372825
## 382     good  1.5388787
## 383     good  4.0028433
## 384     good  3.5810937
## 385      bad  1.9916787
## 386     good  2.4288110
## 387     good  5.3737898
## 388     good  1.9358597
## 389     good  3.4119334
## 390     good  2.9678498
## 391     good  2.9678498
## 392     good  5.0171674
## 393      bad  5.0171674
## 394      bad  1.9829180
## 395      bad  2.5585424
## 396     good  3.0607547
## 397      bad  2.6127128
## 398     good  2.2588796
## 399     good  3.1872699
## 400      bad  3.1872699
## 401      bad  2.8063512
## 402     good  3.1872699
## 403     good  1.6495185
## 404     good  2.8080359
## 405      bad  1.9270588
## 406     good  5.0703224
## 407     good  1.8983477
## 408     good  1.8822580
## 409     good  1.9270588
## 410      bad  2.4016213
## 411     good  3.3433329
## 412      bad  2.0962333
## 413      bad  2.5255178
## 414     good  1.9630362
## 415      bad  3.3433329
## 416      bad  3.0483901
## 417     good  3.0256096
## 418      bad  3.1335852
## 419     good  3.0483901
## 420      bad  2.5326404
## 421     good  2.9785405
## 422     good  3.0569951
## 423      bad  2.1913330
## 424     good  3.0931712
## 425      bad  2.4546795
## 426     good  2.2811692
## 427     good  2.4546795
## 428     good  2.2811692
## 429      bad  2.3855932
## 430     good  2.3855932
## 431     good  3.2999032
## 432      bad  3.2999032
## 433     good  3.1555876
## 434      bad  2.6433527
## 435     good  2.5131959
## 436      bad  3.3566577
## 437     good  5.4848148
## 438     good  2.2858382
## 439     good  2.7584492
## 440      bad  2.5131959
## 441     good  2.0429026
## 442     good  5.0761025
## 443     good  2.4070859
## 444     good  3.3480134
## 445     good  2.4070859
## 446     good  3.3480134
## 447      bad  5.0761025
## 448      bad  4.6038615
## 449     good  4.6541632
## 450     good  2.0128796
## 451     good  2.4871615
## 452     good  2.1324432
## 453     good  2.1324432
## 454     good  2.8384777
## 455      bad  2.4053788
## 456     good  3.4674019
## 457      bad  2.0459370
## 458      bad  2.0732177
## 459     good  2.3005894
## 460      bad  2.1173527
## 461     good  3.3081043
## 462      bad  2.5891342
## 463      bad  2.5956232
## 464      bad  2.5956232
## 465     good  2.5956232
## 466      bad  2.5891342
## 467     good  1.5768740
## 468     good  2.6774533
## 469     good  2.1341607
## 470      bad  1.9560032
## 471      bad  1.6969195
## 472     good  2.4757953
## 473     good  1.8124798
## 474      bad  1.9339235
## 475     good  1.8124798
## 476      bad  1.9400950
## 477      bad  2.1769105
## 478     good  2.6402856
## 479      bad  2.5892788
## 480     good  2.5892788
## 481      bad  2.1632200
## 482     good  3.1861306
## 483      bad  2.0927750
## 484      bad  1.3044486
## 485     good  4.5784151
## 486      bad  1.3044486
## 487      bad  2.3257345
## 488     good  2.3990475
## 489     good  2.1480986
## 490     good  2.8329689
## 491     good  1.8828132
## 492     good  4.3908888
## 493     good  4.3908888
## 494     good  3.4741180
## 495     good  4.2537020
## 496     good  1.7106081
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## 498      bad  1.9548836
## 499     good  3.1495509
## 500     good  3.1495509
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## 502     good  1.9399617
## 503     good  2.0601690
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## 505     good  1.6326094
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## 511      bad  6.1179867
## 512     good  3.4293925
## 513     good  3.4293925
## 514     good  2.3595179
## 515     good  1.9441473
## 516      bad  2.9495586
## 517     good  2.5659666
## 518      bad  3.2301450
## 519     good  1.9441473
## 520      bad  2.4308372
## 521     good  2.0490171
## 522      bad  1.5563090
## 523      bad  2.5768869
## 524      bad  1.8747160
## 525      bad  2.7753547
## 526      bad  3.7098024
## 527      bad  1.5592364
## 528     good  1.5239457
## 529     good  1.5592364
## 530      bad  5.1172256
## 531     good  2.7706528
## 532      bad  2.8809863
## 533      bad  3.1273951
## 534     good  1.6483368
## 535     good  1.4365033
## 536     good  2.5092602
## 537      bad  2.8084798
## 538     good  2.8084798
## 539     good  2.6472474
## 540      bad  2.8087406
## 541      bad  2.6472474
## 542     good  3.4749667
## 543      bad  2.4577941
## 544     good  1.4667532
## 545     good  2.7677184
## 546      bad  2.7307052
## 547     good  1.5096584
## 548     good  2.7354850
## 549     good  3.3694900
## 550     good  3.3694900
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## 1449     bad  4.3838824
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## 1506     bad  1.8266720
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## 1509    good  3.5563872
## 1510     bad  3.2329625
## 1511    good  3.6107036
## 1512     bad  2.9168627
## 1513    good  3.6107036
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## 1515    good  3.3763363
## 1516    good  2.3871395
## 1517     bad  1.6189337
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## 1519     bad  2.1994920
## 1520     bad  2.1906761
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## 1522     bad  1.5951100
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## 1525    good  2.4012711
## 1526     bad  1.7716557
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## 1528    good  1.7716557
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## 1532     bad  2.1424128
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## 1534     bad  2.9095561
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## 1536    good  2.3998841
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## 1539     bad  3.4413687
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## 1541    good  2.6336330
## 1542    good 10.0669714
## 1543    good 10.0669714
## 1544    good  3.5590159
## 1545    good  3.1446521
## 1546    good  3.2807323
## 1547     bad  3.1446521
## 1548     bad  2.4445974
## 1549     bad  2.7497861
## 1550    good  3.1800703
## 1551     bad  1.2493561
## 1552     bad  1.5709388
## 1553    good  2.8388148
## 1554     bad  4.0620725
## 1555    good  4.0620725
## 1556    good  3.7690529
## 1557     bad  3.2792845
## 1558    good  3.2792845
## 1559     bad  2.0092709
## 1560     bad  2.4424194
## 1561     bad  0.7194663
## 1562     bad  2.6142938
## 1563     bad  3.4481979
## 1564     bad  1.7163719
## 1565     bad  3.2885724
## 1566    good  2.0621075
## 1567    good  1.7271216
## 1568     bad  1.7693906
## 1569     bad  3.2885724
## 1570    good  2.0709884
## 1571    good  1.5462119
## 1572    good  2.5067011
## 1573     bad  2.5710746
## 1574    good  3.1648003
## 1575    good  2.8412654
## 1576    good  1.5813949
## 1577    good  3.7473054
## 1578    good  3.1511710
## 1579    good  1.8155693
## 1580     bad  1.7575474
## 1581    good  1.7560371
## 1582     bad  2.6153651
## 1583     bad  7.1697155
## 1584     bad  3.2039983
## 1585    good  3.2039983
## 1586    good  3.2039983
## 1587    good  1.4648394
## 1588    good  1.4648394
## 1589    good  1.4648394
## 1590     bad  1.4648394
## 1591    good  1.4605947
## 1592    good  2.8808040
## 1593    good  3.1210227
## 1594    good  3.1210227
## 1595     bad  3.6012498
## 1596    good  2.7460387
## 1597    good  4.5210542
## 1598     bad  2.6327556
## 1599    good  2.9655064
with(d.all, t.test(dij[quality=="good"], dij[quality=="bad"],var.equal=TRUE, alternative="less"))
## 
##  Two Sample t-test
## 
## data:  dij[quality == "good"] and dij[quality == "bad"]
## t = 1.3082, df = 1597, p-value = 0.9045
## alternative hypothesis: true difference in means is less than 0
## 95 percent confidence interval:
##       -Inf 0.2123522
## sample estimates:
## mean of x mean of y 
##  3.012486  2.918443

The calculated t-value is 1.3082 with a corresponding p-value of 0.9045. This p-value indicates that there is insufficient evidence to reject the null hypothesis, suggesting that the mean “dij” value in the “good” quality group is not significantly different from the mean “dij” value in the “bad” quality group.

Therefore, we do not have enough statistical evidence to conclude that there is a significant difference in the “dij” values between the two quality groups.

sprintf("d-values for Survivors: Mean = %2.3f, Variance = %2.3f",mean(d.all$dij[quality=="good"]),var(d.all$dij[quality=="bad"]))
## [1] "d-values for Survivors: Mean = 3.012, Variance = 2.085"

******************3) Application of different MVA models (10 points)***************************************************** [1] PCA [2] Cluster Analysis [3] Factor Analysis [4] Multi Regression [5] Logisitic Regression [6] LDA

[1] Data Preprocessing for application of models: dimensionality reduction: [a] PCA Analysis [b] Factor analysis

Models:

[1] Cluster analysis: (Grouping of target variable) [2] Multiple Regression:(Prediction of target variable) [3] Logistic Regression: (Prediction of target variable) [4] Linear Discriminant Analysis (LDA): (Prediction of target variable)

Goal:

[1] Calculate std deviation of Principal components from the mean indicating some behavior of PC’s based on attributes calculated

example: High values shows high variability in Principle components

Observations:

Standard Deviation [1] PC1, PC2, PC3, PC4, PC5: Have the majority of standard deviation (Total)

[2] PC11, PC10 have the lowest standard deviation indicating less meaning

Rotation (n x k): [Matrix] [1] Indicates relation between original attributes and and Principal Components

Observation: (relation crossing 0.30):

[1] PC1: fixed acidity (positive relation),citric acidity (positive relation), pH (negative) indicate highest relativity with PC1 either positive or negative.

[2] PC2: free sulphur dioxide (negative), Total Sulphur dioxide (negative) and alcohol (+ve) relation.

[3] PC3: Volatile acidity (-ve),alcohol has high relation (+ve), free sulphur dioxide (+ve)

Inferences:

alcohol and sulphur dioxide have high values in PC3 indicating +ve correlation between them.

+ve and -ve range in each PC are relation of variables with respective PC’s and their correlation with each other.

PC1, PC2, PC3, PC4 have majority of proportion of variance indicating to be evaluated further.

But cumulative proportion is low for PC1, PC2, PC3 and increasing further indicating ambiguity as it is the proportion of variance explained.

# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one

#prcomp: return PCA values of dataframe 
#scale: Scaling variables before performing PCA to obtain uniformity in the values
df_pca <- prcomp(df[1:11],scale=TRUE)
summary(df_pca)
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.7604 1.3878 1.2452 1.1015 0.97943 0.81216 0.76406
## Proportion of Variance 0.2817 0.1751 0.1410 0.1103 0.08721 0.05996 0.05307
## Cumulative Proportion  0.2817 0.4568 0.5978 0.7081 0.79528 0.85525 0.90832
##                            PC8     PC9    PC10    PC11
## Standard deviation     0.65035 0.58706 0.42583 0.24405
## Proportion of Variance 0.03845 0.03133 0.01648 0.00541
## Cumulative Proportion  0.94677 0.97810 0.99459 1.00000

Checking eigen vectors:

To check composition of each attribute in respective PC’s

Observation:

Eigen values are the center data points in the vector which do not change a lot after rotation.

Calculating Eigen vector values/Standard Deviation information contained by each PC’s Function: df_pca$sdev^2

Squaring to penalize and show the impact of each std deviation

[1] PC1: contains the highest standard deviation: 3.09913244

[2] PC2, PC3, PC4, PC5: 1.92590969 1.55054349 1.21323253 0.95929207 Following principal components contain high amount of standard deviation information.

Summation of eigen_df calculated with standard deviation and eigen values always amount to the number of Principal components present

# loading (eigenvectors) are stored in df_pca$rotation
print(df_pca$rotation)
##                              PC1          PC2         PC3          PC4
## fixed acidity         0.48931422  0.110502738 -0.12330157  0.229617370
## volatile acidity     -0.23858436 -0.274930480 -0.44996253 -0.078959783
## citric acid           0.46363166  0.151791356  0.23824707  0.079418256
## residual sugar        0.14610715 -0.272080238  0.10128338  0.372792562
## chlorides             0.21224658 -0.148051555 -0.09261383 -0.666194756
## free sulfur dioxide  -0.03615752 -0.513566812  0.42879287  0.043537818
## total sulfur dioxide  0.02357485 -0.569486959  0.32241450  0.034577115
## density               0.39535301 -0.233575490 -0.33887135  0.174499758
## pH                   -0.43851962 -0.006710793  0.05769735  0.003787746
## sulphates             0.24292133  0.037553916  0.27978615 -0.550872362
## alcohol              -0.11323206  0.386180959  0.47167322  0.122181088
##                              PC5         PC6         PC7         PC8
## fixed acidity        -0.08261366 -0.10147858  0.35022736 -0.17759545
## volatile acidity      0.21873452 -0.41144893  0.53373510 -0.07877531
## citric acid          -0.05857268 -0.06959338 -0.10549701 -0.37751558
## residual sugar        0.73214429 -0.04915555 -0.29066341  0.29984469
## chlorides             0.24650090 -0.30433857 -0.37041337 -0.35700936
## free sulfur dioxide  -0.15915198  0.01400021  0.11659611 -0.20478050
## total sulfur dioxide -0.22246456 -0.13630755  0.09366237  0.01903597
## density               0.15707671  0.39115230  0.17048116 -0.23922267
## pH                    0.26752977  0.52211645  0.02513762 -0.56139075
## sulphates             0.22596222  0.38126343  0.44746911  0.37460432
## alcohol               0.35068141 -0.36164504  0.32765090 -0.21762556
##                               PC9        PC10         PC11
## fixed acidity        -0.194020908  0.24952314 -0.639691452
## volatile acidity      0.129110301 -0.36592473 -0.002388597
## citric acid           0.381449669 -0.62167708  0.070910304
## residual sugar       -0.007522949 -0.09287208 -0.184029964
## chlorides            -0.111338666  0.21767112 -0.053065322
## free sulfur dioxide  -0.635405218 -0.24848326  0.051420865
## total sulfur dioxide  0.592115893  0.37075027 -0.068701598
## density              -0.020718675  0.23999012  0.567331898
## pH                    0.167745886  0.01096960 -0.340710903
## sulphates             0.058367062 -0.11232046 -0.069555381
## alcohol              -0.037603106  0.30301450  0.314525906
# variable standard deviations stored in df_pca$scale
print(df_pca$scale)
##        fixed acidity     volatile acidity          citric acid 
##          1.741096318          0.179059704          0.194801137 
##       residual sugar            chlorides  free sulfur dioxide 
##          1.409928060          0.047065302         10.460156970 
## total sulfur dioxide              density                   pH 
##         32.895324478          0.001887334          0.154386465 
##            sulphates              alcohol 
##          0.169506980          1.065667582
(eigen_df <- df_pca$sdev^2)
##  [1] 3.09913244 1.92590969 1.55054349 1.21323253 0.95929207 0.65960826
##  [7] 0.58379122 0.42295670 0.34464212 0.18133317 0.05955831
names(eigen_df) <- paste("PC",1:11,sep="") #formatting PC with column no. for respective PC's
eigen_df
##        PC1        PC2        PC3        PC4        PC5        PC6        PC7 
## 3.09913244 1.92590969 1.55054349 1.21323253 0.95929207 0.65960826 0.58379122 
##        PC8        PC9       PC10       PC11 
## 0.42295670 0.34464212 0.18133317 0.05955831
sumlambdas <- sum(eigen_df)
sumlambdas
## [1] 11

Scaling/Proportioning the Principal component eigen values by diving by the sum values of eigen values calculated for each PC’s

Even with scaling we can observe that

[1] PC1, PC2, PC3, PC4, PC5 hold the majority percentage of eigen values

starting in order from: 28%, 17%, 14%, 11%, 8%

[2] Rest of the PC’s do not hold high proportion of std deviation indicating less meaning.

propvar <- eigen_df/sumlambdas
propvar
##         PC1         PC2         PC3         PC4         PC5         PC6 
## 0.281739313 0.175082699 0.140958499 0.110293866 0.087208370 0.059964388 
##         PC7         PC8         PC9        PC10        PC11 
## 0.053071929 0.038450609 0.031331102 0.016484833 0.005414392

******************4) Model Insights PCA (10 points)************

cumsum(propvar): is used to add the values (Indicating increase in cumulative proportion) of previous Principal components to the next Principal component totalling to 1 as the values are scaled from 0 to 1

Barplot to explain cumulative contribution of each PC’s

Obervation:

[1] PC1 to PC4 have highest contribution [2] After PC5 the contribution is minimal which only amounts to only 0.2 percent of entire values

library(waterfall)
## Warning: package 'waterfall' was built under R version 4.3.2
cumvar_df <- cumsum(propvar)
cumvar_df
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 0.2817393 0.4568220 0.5977805 0.7080744 0.7952827 0.8552471 0.9083191 0.9467697 
##       PC9      PC10      PC11 
## 0.9781008 0.9945856 1.0000000
# Load the waterfall package
library(waterfall)

# Create a data frame for the waterfall chart
waterfall_data <- data.frame(
  labels = paste("PC", 1:length(propvar)),
  values = propvar
)

# Calculate the cumulative sum of the proportion of variance
cumulative_propvar <- cumsum(waterfall_data$values)

# Plot the waterfall chart with rotated x-axis labels
barplot(cumulative_propvar, names.arg = waterfall_data$labels, 
        main = "Waterfall Chart of Cumulative Proportion of Variance",
        xlab = "Principal Component", ylab = "Cumulative Proportion of Variance",
        las = 2, cex.names = 0.8)  # las = 2 for vertical labels, cex.names to adjust label size

#Based on the cumulative plot we can select PC1 to PC5 as they indicate high contribution to the total

******************4) Model Insights PCA (10 points)************ eigen_df: This seems to be a data frame containing information about eigenvectors or eigenvalues from some analysis.

propvar: This is likely a vector containing the proportion of variance explained by each principal component.

cumvar_df: This could be another data frame containing cumulative proportion of variance explained by each principal component.

rbind(eigen_df,propvar,cumvar_df): to combine above mentioned dataframes

Observation:

matlambdas: (Combined dataframe) [1] PC1 and PC2 have highest proportion of eigen values indicating highest variance captured

[2] Hence proportion of variance is highest for PC1 and PC2

Second Observation is for original PCA vector: (same as above just not combined hence showing lesser values)

[1] PC1 and PC2 have highest proportion of eigen values indicating highest variance captured

[2] Hence proportion of variance is highest for PC1 and PC2

Mapping Dependent variable with PC1 and PC2:

Observations:

[1] Quality=Bad are both negative and positive components of PC1 and PC2 but more towards negative

[2] Quality = Good are capturing both negative and positive value in most of the Principal Components but more towards positive

#Combining mulltiple dataframes of PCA calculation done
matlambdas <- rbind(eigen_df,propvar,cumvar_df)

#Assigning row names to combined data frame
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")

#rounding values of combined dataframe to 4 decimal points
round(matlambdas,4)
##                        PC1    PC2    PC3    PC4    PC5    PC6    PC7    PC8
## Eigenvalues         3.0991 1.9259 1.5505 1.2132 0.9593 0.6596 0.5838 0.4230
## Prop. variance      0.2817 0.1751 0.1410 0.1103 0.0872 0.0600 0.0531 0.0385
## Cum. prop. variance 0.2817 0.4568 0.5978 0.7081 0.7953 0.8552 0.9083 0.9468
##                        PC9   PC10   PC11
## Eigenvalues         0.3446 0.1813 0.0596
## Prop. variance      0.0313 0.0165 0.0054
## Cum. prop. variance 0.9781 0.9946 1.0000
summary(matlambdas)
##       PC1              PC2              PC3              PC4        
##  Min.   :0.2817   Min.   :0.1751   Min.   :0.1410   Min.   :0.1103  
##  1st Qu.:0.2817   1st Qu.:0.3160   1st Qu.:0.3694   1st Qu.:0.4092  
##  Median :0.2817   Median :0.4568   Median :0.5978   Median :0.7081  
##  Mean   :1.2209   Mean   :0.8526   Mean   :0.7631   Mean   :0.6772  
##  3rd Qu.:1.6904   3rd Qu.:1.1914   3rd Qu.:1.0742   3rd Qu.:0.9607  
##  Max.   :3.0991   Max.   :1.9259   Max.   :1.5505   Max.   :1.2132  
##       PC5               PC6               PC7               PC8         
##  Min.   :0.08721   Min.   :0.05996   Min.   :0.05307   Min.   :0.03845  
##  1st Qu.:0.44125   1st Qu.:0.35979   1st Qu.:0.31843   1st Qu.:0.23070  
##  Median :0.79528   Median :0.65961   Median :0.58379   Median :0.42296  
##  Mean   :0.61393   Mean   :0.52494   Mean   :0.51506   Mean   :0.46939  
##  3rd Qu.:0.87729   3rd Qu.:0.75743   3rd Qu.:0.74606   3rd Qu.:0.68486  
##  Max.   :0.95929   Max.   :0.85525   Max.   :0.90832   Max.   :0.94677  
##       PC9               PC10              PC11         
##  Min.   :0.03133   Min.   :0.01648   Min.   :0.005414  
##  1st Qu.:0.18799   1st Qu.:0.09891   1st Qu.:0.032486  
##  Median :0.34464   Median :0.18133   Median :0.059558  
##  Mean   :0.45136   Mean   :0.39747   Mean   :0.354991  
##  3rd Qu.:0.66137   3rd Qu.:0.58796   3rd Qu.:0.529779  
##  Max.   :0.97810   Max.   :0.99459   Max.   :1.000000
summary(df_pca)
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.7604 1.3878 1.2452 1.1015 0.97943 0.81216 0.76406
## Proportion of Variance 0.2817 0.1751 0.1410 0.1103 0.08721 0.05996 0.05307
## Cumulative Proportion  0.2817 0.4568 0.5978 0.7081 0.79528 0.85525 0.90832
##                            PC8     PC9    PC10    PC11
## Standard deviation     0.65035 0.58706 0.42583 0.24405
## Proportion of Variance 0.03845 0.03133 0.01648 0.00541
## Cumulative Proportion  0.94677 0.97810 0.99459 1.00000
# Identifying the scores by their Quality of wine 
dftyp_pca <- cbind(data.frame(quality),df_pca$x)
dftyp_pca
##      quality           PC1           PC2          PC3             PC4
## 1        bad -1.6190233808 -0.4508090596 -1.773899198  -0.04372663171
## 2        bad -0.7989199991 -1.8559724342 -0.911405040  -0.54789456791
## 3        bad -0.7482450102 -0.8817630087 -1.171027882  -0.41089212728
## 4       good  2.3569352844  0.2698915759  0.243412547   0.92815961469
## 5        bad -1.6190233808 -0.4508090596 -1.773899198  -0.04372663171
## 6        bad -1.5832119779 -0.5690168712 -1.537804961  -0.02374245982
## 7        bad -1.1011195532 -0.6078248455 -1.075578309   0.34385163565
## 8       good -2.2480043771  0.4167044143 -0.986528559   0.00120300307
## 9       good -1.0865466057  0.3084729917 -1.517675415  -0.00331386783
## 10       bad  0.6545847432 -1.6646866116  1.209097967   0.82437710673
## 11       bad -1.1248523852 -0.8602430731 -0.771974366  -0.46421412274
## 12       bad  0.6545847432 -1.6646866116  1.209097967   0.82437710673
## 13       bad -3.0259143987 -0.4933853398 -0.220097360  -0.59443976739
## 14       bad  1.5384164486  0.2350522944  0.047491211  -3.79120039139
## 15       bad  1.5647785548 -4.7937473441  1.414634343  -1.36051814429
## 16       bad  1.6207417506 -4.7785748399  1.520532139  -1.40832864333
## 17      good  1.1741982777 -1.1424408135  2.393564315  -0.14535764355
## 18       bad  2.6943618301 -1.2151140630 -0.123356313  -6.37126562650
## 19       bad -0.7222123697 -0.5045140808 -1.746537087   0.63975212106
## 20      good  3.3342696553 -0.7534330494  0.458016739  -5.13922803589
## 21      good  0.6234495719 -0.4399756688  0.981867530   0.62519819215
## 22       bad -0.2059201160 -0.9676464597  0.454821527   0.13454395694
## 23       bad  0.6961895123  0.3968745776 -0.255795789  -1.52335519109
## 24       bad  0.0530890262 -0.4164124715 -0.932138977   0.25437446961
## 25      good -0.8782805799 -0.3810139890  0.071530733  -0.15507514403
## 26       bad -1.1642698338  0.6101641599 -0.567739901  -0.41553904912
## 27       bad -0.2393189176  1.1936373618 -0.998120251  -0.16760156174
## 28       bad  0.6961895123  0.3968745776 -0.255795789  -1.52335519109
## 29       bad -1.7346751593 -0.5886114978 -1.576598362  -0.15473933444
## 30      good -1.3219581716  0.4102782338 -1.538692327  -0.24088136088
## 31       bad -1.5592690050 -1.1615403668 -0.273018636  -0.11645018087
## 32      good -1.8050008848 -0.6707673531 -0.490023764  -0.31304980492
## 33       bad -0.0895459518 -1.5639453488 -0.194064947  -0.14831611622
## 34      good -0.0867786299 -4.3959233762  0.596343282   2.78979899715
## 35       bad -1.0837568763 -0.0621479209  0.044503698  -0.63563271904
## 36      good -0.5614524459 -0.5195262188 -1.940595777   0.92849681434
## 37      good -0.8278540247  0.9882136281 -1.171732413   0.04815887874
## 38      good  0.4339239895  0.5493533317 -0.111773452  -0.11500590920
## 39       bad -2.9857396410 -0.3195738755 -2.429071380  -1.96361525148
## 40       bad  0.7641366874 -1.0587671921  1.018697102   0.59013988084
## 41       bad  0.7641366874 -1.0587671921  1.018697102   0.59013988084
## 42       bad  0.3507712392 -0.7154559110 -1.059672771   0.53499820416
## 43      good  1.4009534162  0.1977275307 -0.665627753  -4.40707382540
## 44       bad  0.3617225771  0.6800403302 -0.052570968  -1.75989009200
## 45       bad -2.1413294956  0.5933002723 -1.804661400   0.18374954199
## 46       bad -4.2775856693  1.2743759498  1.872111478   0.13888159422
## 47       bad  0.2331430018 -2.4845009945 -0.439431681  -0.91691623949
## 48       bad  1.2327080334  0.6702312963 -0.081953333  -0.21833863304
## 49       bad -0.9389723339  1.0727973187 -0.924320233  -0.14743930514
## 50       bad -0.6576468843 -0.4603639827  0.707222801  -0.30733969235
## 51       bad  0.5882230958  0.5507398051 -1.660006896  -0.48218201956
## 52      good -1.5606289219  0.5388697787 -1.020432496  -0.34119972626
## 53      good -1.5208686045  0.7225541985 -1.036453385  -0.39603150655
## 54       bad  0.8461291444 -2.1226970104  1.094480699   0.70933721713
## 55      good -0.2549027582 -1.4606088135  0.910215360  -0.33990777716
## 56       bad -0.7112083086 -1.5103999467 -0.811518401   0.61117926165
## 57       bad  2.3003794236  1.2845966260 -0.819968139   0.82775631487
## 58       bad  0.3128443129 -4.2061015007  1.209726327  -0.00022458761
## 59       bad -0.7529628698 -0.5696027870 -0.495893889   0.22427004189
## 60      good -0.5177435570  0.2585624607 -0.316295161   0.28558054968
## 61       bad  0.5326550505 -0.4378349865 -0.128490220   0.25920451969
## 62       bad  0.7033615032 -1.7964110059  0.149534906  -0.85777190086
## 63      good -0.6972955953  0.0408068541 -0.825624305  -0.28728632973
## 64       bad -1.5574365312 -0.6695407459 -1.132854419  -0.20704611354
## 65       bad -1.7058880733  0.4250711817 -1.462694431   1.04557972370
## 66       bad -1.7058880733  0.4250711817 -1.462694431   1.04557972370
## 67       bad -1.0600479370  0.1033969010 -0.912305305  -0.18602192792
## 68       bad -1.9571393728  0.8541823087 -1.187413625  -0.30860218640
## 69       bad  1.4023857653  0.0055827849  1.745090658   0.07345563872
## 70      good -0.7577244093  0.7222507195 -0.679518905  -1.23979126422
## 71      good -0.9999191681 -0.1609563891 -1.288287386   0.03870827837
## 72       bad -0.7695600669 -1.4259764578 -0.465585796   0.19486168013
## 73       bad -0.8562065492 -1.4149618786 -0.498962182   0.17827192118
## 74       bad -0.1462766933 -0.4179549843 -1.546862948   0.19225978910
## 75       bad  2.0689381719 -1.0901375715  1.187373173  -0.09875664726
## 76       bad  0.9132489307  0.7508055005  0.142460620   0.24431992949
## 77       bad  0.9132489307  0.7508055005  0.142460620   0.24431992949
## 78      good -2.1682947506 -0.2650487131 -1.102329678  -0.34534226854
## 79       bad -1.6932037651 -0.8767325413 -0.669534662  -0.14961697320
## 80       bad  0.8949146807 -2.2103489460  0.816299653  -1.73523651592
## 81       bad -1.3094380643  0.9937357420 -1.104818483  -0.25401241069
## 82       bad  4.2819216263 -1.5717644361  0.861477336  -7.38427695972
## 83       bad  0.1196024010 -0.9953690903  0.054496268   0.05905005385
## 84       bad  2.0986279913 -1.4962389930 -0.660432800  -6.50243373857
## 85      good -0.2790824419  0.3108440123  1.530858104  -0.47572734208
## 86       bad -1.2983952432 -0.2148402846 -0.142589421  -0.04031361251
## 87      good  3.3203917603 -1.5600848865  2.719630373  -4.54496864442
## 88       bad -0.5115931700  0.5313613659 -0.642102887   0.03017629625
## 89       bad  2.5076218099 -2.1535989796  2.192171011  -1.81411331250
## 90       bad -1.3568807729 -0.1016114134 -1.912643444  -0.02712628681
## 91       bad -0.1747656004 -3.0894037285  1.422790487   0.34572341348
## 92      good  3.3203917603 -1.5600848865  2.719630373  -4.54496864442
## 93       bad  3.4094800686 -1.5001484819  2.673904397  -4.63072758156
## 94       bad -0.5115931700  0.5313613659 -0.642102887   0.03017629625
## 95       bad -4.6345864975 -2.3596265758  0.558302447   0.02218461372
## 96      good -4.0927389504 -0.0660659790  2.460465624   0.02912184596
## 97       bad -1.8938782706  0.0742153884 -1.336429327  -0.22977309977
## 98       bad -0.3217304729  0.7657628455 -1.164621848  -0.23639219343
## 99       bad -1.5393328235  0.1727129336 -2.331551901  -0.07389170367
## 100     good -0.2192307179 -0.2111478055 -1.228185390  -0.06090248925
## 101     good -0.2904842848  0.0175302603 -0.585883379   0.06447706022
## 102     good -0.4650346765  1.0798275846 -0.462350751   0.14265510564
## 103     good -0.2192307179 -0.2111478055 -1.228185390  -0.06090248925
## 104      bad -0.3440831820 -0.6083976221 -0.938825019   0.30133662407
## 105      bad -0.7784454102  0.4797543053 -1.007620154   0.35087138724
## 106      bad -0.3440831820 -0.6083976221 -0.938825019   0.30133662407
## 107      bad  4.4437241847 -1.3807596228  0.727161096  -7.61293653968
## 108      bad -0.7903975135 -0.7645663745 -0.235562637  -1.06265699194
## 109     good  1.1210572328 -0.5781661591  0.981238174  -0.34051419156
## 110      bad  0.7757945360 -3.5153855011  0.967527753  -0.69278539053
## 111      bad  0.3891875737 -0.0999658775 -0.325156836  -1.58499481233
## 112      bad -0.0669049221 -1.2025123116 -0.343579134  -0.21340699304
## 113      bad -0.0201665498 -1.3663861778 -0.130675677  -0.19902527870
## 114     good  1.6116220721 -0.1577877280  0.206252154   0.53596345286
## 115      bad  0.3891875737 -0.0999658775 -0.325156836  -1.58499481233
## 116     good  1.1698071038  0.2752077650  0.221333992   0.17450420917
## 117     good -0.1289330701  0.1968625441 -0.733033626   0.15518084153
## 118     good -0.8434294325  0.2369320425 -1.538772782   0.15583027640
## 119     good -0.2852066931 -0.0582952225 -0.266543361  -0.38366836172
## 120     good -1.3645292367 -1.7718785457 -0.525037553  -0.41732160832
## 121      bad -1.1256407134 -2.0760545056 -2.255268708  -1.85783594839
## 122     good -0.2852066931 -0.0582952225 -0.266543361  -0.38366836172
## 123      bad -1.5075644741  0.0889943301 -2.440882582   0.18778095725
## 124      bad -1.2698331012 -0.5183610287 -1.794612569   0.24820890442
## 125      bad -0.9868665687 -1.3685541922  0.141885382   0.21746011385
## 126      bad  0.6533937651 -2.1985177474 -0.577691913  -1.05459236590
## 127      bad -2.8296888090  0.1296288257 -3.174253596  -0.12559290473
## 128      bad -2.8856553229  0.0981888206 -3.174724625  -0.09375129996
## 129     good -0.6487334280  1.3194444514 -0.499462400  -0.96778876645
## 130      bad -1.4346891605  0.9027201847 -0.649706209  -0.26666908072
## 131      bad  0.7289523106 -2.7032889287  0.682654284  -0.56406463476
## 132      bad -3.1805724630  0.2223224759  2.421065073   0.23413213480
## 133      bad -3.1805724630  0.2223224759  2.421065073   0.23413213480
## 134     good -1.9396816470  0.2606649547 -0.396355867  -0.18190985184
## 135     good -1.3976085562 -0.5701218867 -2.126196193  -0.23113939688
## 136      bad -0.0815424656 -0.8574229262 -0.730114998  -0.98379281059
## 137      bad -0.0882906684 -0.3652604368 -1.123418097  -0.83651983852
## 138      bad -0.3093735873 -0.0482406652 -0.276075786  -0.16123418246
## 139      bad -0.6507117783 -1.3046389950 -0.122395648   0.14572156777
## 140      bad -0.6374338891 -1.4350380051 -0.021926823   0.13051357028
## 141      bad -0.0815424656 -0.8574229262 -0.730114998  -0.98379281059
## 142      bad -0.0882906684 -0.3652604368 -1.123418097  -0.83651983852
## 143     good -3.8605516273  1.2536284679  3.863030729  -0.52559229199
## 144      bad -1.3641258354  1.0317351479 -0.878602300  -0.26989591548
## 145     good -3.8605516273  1.2536284679  3.863030729  -0.52559229199
## 146      bad  0.9475601351 -2.7730365240  0.897822291  -0.41664812525
## 147      bad -2.8652698825 -1.4230223107  0.204527218  -0.43005199908
## 148      bad  1.3496627748 -1.0861736358 -0.408541614  -3.00392269949
## 149     good -1.4143329865  0.4004608290 -0.359407332   0.00658037468
## 150     good  0.0462106670  0.4790205397  0.219473889   0.37324393546
## 151     good -0.0523283441  1.7030408753 -0.080540530   0.29878420123
## 152      bad  8.6506175515 -2.7574648249  1.800729783 -10.88932855283
## 153      bad -1.5478779955 -1.5179457322  0.393171182  -0.26055120873
## 154      bad -1.5478779955 -1.5179457322  0.393171182  -0.26055120873
## 155      bad  0.2712096264 -2.4323940765  2.186014766   0.97626906593
## 156      bad  0.2641282213 -2.3713456949  2.116746922   0.98939950381
## 157      bad  0.2712096264 -2.4323940765  2.186014766   0.97626906593
## 158      bad  0.2641282213 -2.3713456949  2.116746922   0.98939950381
## 159      bad -1.8498615530 -0.2657924030 -1.744475420   0.13844019781
## 160     good -1.6111528310 -1.3621788190 -0.287567256  -0.09850337590
## 161      bad -1.2859639597 -0.1020752482 -2.387342156  -0.47879793493
## 162      bad -0.1120192706  0.2955028326 -1.091642962  -1.96683223480
## 163     good -1.0742579809  0.0612309479 -0.674256589   0.00417055695
## 164      bad  0.0226183909 -3.9103759830  0.832948700   2.07562889448
## 165      bad -0.0200148627 -3.8205977594  0.834938201   2.02700186920
## 166      bad  0.4788210839 -0.9276326793 -0.041266932  -0.42790880341
## 167      bad -1.5048751507 -1.3286360275  0.101501022  -0.01644150478
## 168      bad -1.5753352298 -0.4503950280 -1.008901268   0.03942502385
## 169     good -1.9719192034  0.0918307914 -0.523064344  -0.26904430875
## 170      bad  2.8717600321 -1.3777752276  0.187296492  -7.41197390836
## 171      bad -1.7369389890  0.1110700900 -3.211799405   0.77865893245
## 172     good -0.0779569541  0.6846921202 -1.234036373   0.01316020006
## 173     good -0.0779569541  0.6846921202 -1.234036373   0.01316020006
## 174     good -1.7779866591 -0.0630882647  0.332930027   0.23657492127
## 175      bad -0.6624433130  0.5795225428 -0.727031991   0.26639036581
## 176      bad -1.0754554515 -0.4084210400 -0.051771845  -1.08159924573
## 177      bad -0.6624433130  0.5795225428 -0.727031991   0.26639036581
## 178     good -0.6169172941  0.6063455212 -0.188380394   0.07171074954
## 179      bad -1.9660188094 -0.1041103044 -2.012868394   0.03671713701
## 180      bad  0.0007361586 -0.1040756797 -1.248830435   0.32441820383
## 181      bad  0.0007361586 -0.1040756797 -1.248830435   0.32441820383
## 182      bad  2.6388040315 -2.2131697868  0.484552483  -3.76762707387
## 183      bad -1.5905338598 -0.9615511942 -1.512900980   0.17402180198
## 184      bad -1.3679174303 -0.6618629371 -0.840305677  -0.15008756713
## 185     good -1.3220828649 -0.4888865874 -0.984776678  -0.19085395431
## 186      bad  1.3202913800 -0.8618530707  0.965625637   0.26655968013
## 187      bad  0.3512441109 -0.3506194956 -0.026874805   0.22727298378
## 188      bad -1.0268162818 -0.1619057459 -1.802954475   0.32996384036
## 189      bad  0.3302101255 -1.8114664181  0.412073199   0.23326945615
## 190      bad  0.2941554682 -1.8938225846  0.513511240   0.24484673088
## 191      bad  0.6849249373 -2.0671321784  0.521704803   0.46193862183
## 192     good -1.1089200492 -0.3520094803  0.363144673  -0.02710821385
## 193      bad -0.5337173226 -2.3964100125 -0.008403848   0.01137980022
## 194      bad -0.5312619075  0.5036895295 -1.063987609   0.19335848550
## 195      bad -0.5312619075  0.5036895295 -1.063987609   0.19335848550
## 196      bad -0.0562276348 -2.0088695889  0.314097881   0.35748544003
## 197      bad -0.8386778425 -0.2667958403 -0.124239402   0.21808409987
## 198     good  3.1677209277  1.2969624330  0.455220886  -0.16563525517
## 199     good -3.6115490683  0.4216809599  1.859396749  -1.05201819509
## 200      bad -3.2161574621  0.0440734446 -1.380382872   0.38343651248
## 201     good  1.4045752635  1.5707709231  0.295210799  -0.08982999678
## 202      bad  2.4110640638 -2.7568246490  2.361786472  -1.10719589330
## 203      bad -1.0590735011 -0.1363774061  0.020706394  -1.00180255728
## 204      bad -0.3823451122  0.0576287298 -0.268412606  -0.20520947513
## 205     good -0.3370745742  0.1757676130 -0.377339321  -0.25799931266
## 206     good  3.7214910153  1.4592363916  0.189134649   0.66639319639
## 207     good  3.7214910153  1.4592363916  0.189134649   0.66639319639
## 208      bad -0.3599005233 -2.0097420793  0.470288117   0.35553049542
## 209      bad  0.4468686366 -1.2521436618  0.377293782  -0.27265175098
## 210     good  2.1823798659  1.7839213536  0.336748972   0.27551017243
## 211     good  0.8345613544  2.4791468326  1.005888843   0.27215654146
## 212     good -0.5724415472 -0.5534843117 -0.925025014   0.26340469712
## 213     good  2.3488234226  1.6546181253 -0.631976697   0.87968149412
## 214      bad -0.7419871933 -0.9075906546  0.225779825   0.95615709138
## 215     good -0.3748185502 -0.3963038840 -1.364740264  -0.55009409105
## 216      bad  0.6051692411 -2.1784091439  1.971576829   0.98954180272
## 217      bad -0.0858886685  0.2118411602 -0.421133232  -0.08337991262
## 218      bad -0.7007545958 -0.4081101409 -1.527039696   0.16327414495
## 219      bad -1.0078732101  0.2713962993 -0.531893732   0.04816089317
## 220      bad -0.0096018066 -2.3500011280  0.923899814   0.22459091008
## 221     good  0.0959528102 -0.4889943648  0.555814847   0.10836016037
## 222      bad -0.0436767558 -0.7107209150 -0.234293061  -0.36492878745
## 223      bad -1.9279513770  0.8920974717 -1.394355531  -0.31038962792
## 224     good  0.1546931895  0.3074242025 -1.420500807   0.11478499827
## 225      bad  0.0784825203 -0.2105495474 -0.442475278   0.18962387305
## 226     good -0.5985753362 -0.7205121672  1.031215491   0.45490184243
## 227     good  3.8407190827 -1.7740927186  1.471047710  -6.68733949498
## 228      bad -0.3415062675 -0.2203466687 -2.042622591   0.02353111523
## 229     good -0.5985753362 -0.7205121672  1.031215491   0.45490184243
## 230      bad -1.1369815155  0.5212516407 -0.190526266   0.47430335451
## 231     good -3.3203963427 -0.0757936171  2.304293013  -0.22424975695
## 232     good -0.9127565249  0.1998260700 -0.380719584   0.20672744962
## 233     good  0.4593750278 -0.6092240904  0.001514361   0.00483408881
## 234      bad -1.1369815155  0.5212516407 -0.190526266   0.47430335451
## 235     good -1.2030535048 -0.7100027010 -2.652528719   0.10828822229
## 236     good -1.2458929692 -0.6431129941 -1.470795190  -0.53116612530
## 237     good -1.2458929692 -0.6431129941 -1.470795190  -0.53116612530
## 238     good -1.2898703502 -0.6600768877 -1.369173139  -0.50963685070
## 239     good -1.2458929692 -0.6431129941 -1.470795190  -0.53116612530
## 240     good -1.2030535048 -0.7100027010 -2.652528719   0.10828822229
## 241      bad  2.7052732283 -0.5173138687 -0.852492591  -4.17286680333
## 242     good  2.9507230143  1.5088081765 -0.419820364   0.52275782935
## 243     good -0.4067664560 -1.9509321191  0.289170531  -0.09133166892
## 244     good  4.3834559142  1.0244430371 -0.852925268   0.69717662994
## 245     good  4.3834559142  1.0244430371 -0.852925268   0.69717662994
## 246     good -1.1971770943  0.1993028302 -1.158501420  -1.35237816888
## 247      bad -1.4173947547 -0.7706444848 -1.143003518   0.05733616069
## 248      bad -0.3856903866 -0.7153013101 -1.024847462   0.57828216428
## 249     good -1.2329684667  0.2709123286 -1.056519287   0.21699032186
## 250     good -1.1971770943  0.1993028302 -1.158501420  -1.35237816888
## 251     good  2.0070741656  0.6847972406  0.111388511   0.29170387803
## 252     good -1.4713199674 -0.2480032503 -0.754477239  -0.47062327318
## 253      bad  2.2019356945  1.2472165372 -0.717425715   1.16398314336
## 254      bad -0.0855690526 -0.7327242478 -0.784459447  -0.31887969387
## 255     good -1.4713199674 -0.2480032503 -0.754477239  -0.47062327318
## 256      bad -0.0533098400 -1.9346574382  0.037280206   0.53982805561
## 257      bad  1.3084545104  1.0492440186 -1.120405372   0.36951335810
## 258      bad -1.7824423313 -0.8827963191 -1.166606147  -0.52606675565
## 259      bad  5.1529261306 -0.8026676037 -0.045217554  -9.54495597969
## 260     good  1.8926316087  0.6152320909  0.237371065   0.24540363716
## 261      bad -0.0308251162  0.0146710746  0.080573758  -0.19985652534
## 262      bad -1.8610808098 -1.2596625754 -1.645470601  -0.62455449772
## 263      bad -1.1787535779  0.4570184918 -0.774509803  -0.00147467030
## 264      bad -0.0206363712 -0.3821007373  0.251707363  -0.22665841959
## 265      bad  3.1265999169  1.1977278273 -0.801176822   0.50823415417
## 266     good  2.2239393306  2.0678113100 -0.099502864   0.41255029252
## 267      bad -1.0016620752 -2.3310891630 -1.275051983  -0.09387104858
## 268     good  0.6745583099  1.2614870816  1.974390830   0.16977952970
## 269     good -1.1449991099 -0.1452174973 -0.959650579  -0.81993921145
## 270     good  3.3436547984  1.1777433240  0.144621192  -0.03896794886
## 271     good -0.7246593448 -1.1642909982  0.637618714   0.27723976806
## 272     good  3.3436547984  1.1777433240  0.144621192  -0.03896794886
## 273      bad  2.7705825728 -0.3676344425  0.513618740   0.98490391852
## 274      bad -0.2353655344 -0.2890596653 -1.465575454  -0.01117868063
## 275      bad  0.4274125078 -3.1885357478  0.207167289   0.81232931684
## 276     good -0.7246593448 -1.1642909982  0.637618714   0.27723976806
## 277     good -1.1449991099 -0.1452174973 -0.959650579  -0.81993921145
## 278     good  3.3436547984  1.1777433240  0.144621192  -0.03896794886
## 279     good  2.0178157279  1.7206925631  1.180147565   1.37156186073
## 280     good  1.2353152770 -0.2802935224  0.147181205   0.80960171061
## 281     good  2.9573317128  0.9536438226 -0.537878875   0.54886289639
## 282     good  3.4026121669  0.6545154258  0.286079680  -4.85054186159
## 283      bad -0.6281781983 -0.6435721908 -0.911677975   0.41802328617
## 284     good  1.2353152770 -0.2802935224  0.147181205   0.80960171061
## 285      bad  0.8561730111 -2.2154985815 -0.380878518   0.28865906966
## 286      bad  0.8561730111 -2.2154985815 -0.380878518   0.28865906966
## 287     good  3.0286257824 -0.1502117253  0.169331961   0.65916836986
## 288     good -0.4958104021 -0.8662360567  0.865903839  -0.14699345525
## 289     good  0.0532249793 -0.3528595505  0.224658612  -0.61670006096
## 290      bad  3.5725192019 -2.2594831624  0.717907300  -0.03386834850
## 291     good  0.0532249793 -0.3528595505  0.224658612  -0.61670006096
## 292      bad  3.1371058691  1.0112994010 -0.427308117  -3.30053768900
## 293     good  1.2856424772 -0.4800325018 -0.741265076   0.53890269628
## 294     good -0.5789261714  1.1149516585 -0.418246115  -0.26254227092
## 295     good  4.3735065308 -0.3833301395 -0.522339350   0.75957213270
## 296      bad  2.6545793026  0.5292317360 -1.623636024   0.80202066996
## 297      bad  1.0258089683 -1.5348285592 -0.905717943   0.82209301145
## 298      bad -1.4935260117 -0.1127164778 -1.387689506  -0.57462136996
## 299      bad -1.2479747539 -0.1891458793 -1.572282750  -0.82000527207
## 300      bad -1.6813440640 -0.2584249670 -1.433070312  -0.48953068304
## 301     good -1.1261189476 -0.2739422855  0.026893195   0.08856292779
## 302     good  1.9380230911  1.9300088095 -0.082074505   0.60700664356
## 303      bad -0.4495046383 -0.3836348280 -1.460072206  -0.22510323117
## 304      bad -0.8925519301  0.1800606564 -1.873534753  -1.74945743131
## 305      bad  1.1161123396 -1.0194415296 -0.632489682   0.01438240096
## 306     good  2.1596261591  0.4345342344 -1.689111159   0.98815381303
## 307      bad -0.4909436553 -0.1463837266 -1.060485124   0.16251837716
## 308     good  2.5740362637  0.4354964470 -1.635085721  -1.25442867282
## 309     good  2.6158522254  0.5031638710 -1.706940873  -1.30801197590
## 310     good -0.2271865925  0.8825861383 -0.249939864   0.43879699387
## 311     good  2.1596261591  0.4345342344 -1.689111159   0.98815381303
## 312     good -0.3754289614 -1.1745393404 -0.013186166   0.26204591041
## 313     good  0.7790545576 -1.4504237539  0.107405224   0.30907870635
## 314      bad  0.3709803383 -2.6541509102  0.841719064   0.88820406978
## 315      bad -0.3182426983 -0.4881112356  1.554941921   0.02188986980
## 316     good -0.5324568811  0.1456929563  1.150823524  -0.13692540278
## 317      bad  0.9857340146 -2.5089188951  0.450992120   0.54872824372
## 318     good  0.0682013843 -1.8782973065 -0.384339786   0.49317278664
## 319     good  0.8065195761 -0.4656527998  0.295445854   0.61353113000
## 320     good  0.0682013843 -1.8782973065 -0.384339786   0.49317278664
## 321     good  0.8065195761 -0.4656527998  0.295445854   0.61353113000
## 322      bad  1.0913378105 -2.0354317302 -0.409942647   0.67803115713
## 323      bad -0.5786493035  0.2167498626 -1.809135596  -0.19560202375
## 324     good  1.5382273586 -1.9130745536  0.187929620   0.40094434656
## 325     good  2.7692650017 -2.4094156101 -0.952441247   2.86340778602
## 326     good  2.7692650017 -2.4094156101 -0.952441247   2.86340778602
## 327     good  3.0873061094  1.5244026295 -0.146096844   0.28263787309
## 328      bad  2.0063423101  1.3870186291  0.212858989   0.23499450798
## 329     good  3.8459792045  1.2411981329 -0.901255327   1.14584747120
## 330      bad  1.5748601207  1.0109794179 -1.274910301   0.69456749154
## 331     good  2.1147976115  1.4708374127  1.070465615   0.39493425827
## 332     good  2.1147976115  1.4708374127  1.070465615   0.39493425827
## 333     good  0.1785995334 -2.0355976254  0.083084242   0.82511047400
## 334      bad -0.3865884068  0.1765149707 -0.275551372  -0.02457954583
## 335     good -1.1525342309  0.2459690376  0.173794194  -0.25628043310
## 336     good  2.6709356731  1.1420884181 -0.394738770  -0.06956411567
## 337     good -0.1732675216  2.5748399544  1.096586602   0.37573952362
## 338      bad  0.1843473050 -0.8449499358  0.824984734   0.34135017399
## 339     good  3.6999638933 -1.1138174652  1.455210350   0.07211501851
## 340     good  4.3587223617  0.9843570829  0.596582217  -1.33419682861
## 341     good  3.8788860031  0.8148768356 -0.316394900  -0.63618007275
## 342     good  1.8071734923  1.8525298080  0.314741070   0.17043878924
## 343     good  1.9883293821  1.2391147698 -0.818401624  -0.45638016149
## 344     good  1.9883293821  1.2391147698 -0.818401624  -0.45638016149
## 345     good  2.9957675795  0.7404242177 -1.050449313   0.57154566981
## 346      bad -1.7610389940 -2.1304390246  0.432494332  -0.55496694391
## 347     good -2.4211980941  0.3066760530  0.596911779  -0.84956866777
## 348     good  4.0617329780  2.0550218582  0.209119330   0.33309558196
## 349     good  1.6795446529 -0.1711743458 -0.185761320  -0.58397579091
## 350     good  0.0815424640 -0.6831412199 -1.998025068  -0.74956613997
## 351     good  1.8206498952 -0.6078926362 -1.058956134  -0.78075893598
## 352     good  0.0657245690 -0.6795199044 -2.101914865  -0.70129197444
## 353      bad -0.5213494466 -0.0502215478 -1.750354367  -0.68975641327
## 354      bad  4.3839964082 -0.3482713945  1.321090917   1.48891674944
## 355     good -1.3511585954 -1.3168735876  4.759621506   0.00633763290
## 356     good -2.7049351652  0.5991376985  0.435907479  -0.01159825690
## 357      bad  2.7225920015 -0.4353657209  1.045279153   0.51809756364
## 358     good  2.1054762294  1.3854694986  0.880428988   0.03363229895
## 359     good  3.6377038912  0.8377996131 -0.342706973   0.13910232842
## 360     good  3.7402299853  0.4302034260 -0.803047229   1.01406580678
## 361      bad  0.2954347898 -1.1666188282 -0.802429372  -0.59074032858
## 362     good  0.8135790155 -0.4684306533  0.420712453  -0.59343941708
## 363      bad  2.9760271811  0.6878342217 -1.266138973   1.25627974850
## 364      bad  3.6706958376  1.5605552717 -0.643746882   0.21194250638
## 365     good  4.3892799173 -0.4503455074 -1.362992289   1.81118378264
## 366     good  1.9808037810  1.5183823854  0.674061047  -0.37018872326
## 367     good  4.3892799173 -0.4503455074 -1.362992289   1.81118378264
## 368      bad  2.5916278305  0.0716678060 -1.462199613   0.55677988430
## 369      bad  2.8673289530 -0.8652187319 -0.321879502  -0.25082184915
## 370     good  1.9119913874  2.4615909020  1.754336206  -0.96124840574
## 371      bad -1.8490125711 -2.0189931519  0.105734660  -0.39393297439
## 372     good  0.7865851323  0.8349187550  0.093793796  -0.61162868822
## 373     good  1.3362106119  0.4649802812  1.941134627  -0.79134383470
## 374      bad  0.3247468020 -0.7101202336 -0.555684545  -0.62648032792
## 375     good  4.7876029568  0.6560572904 -0.509631301   1.19125829563
## 376     good  3.5932507026  1.4263199067  0.113438332   0.23871835134
## 377     good  3.0130182802  0.1496000349  0.779623053  -0.25839110180
## 378     good  1.9119913874  2.4615909020  1.754336206  -0.96124840574
## 379     good  3.2331876694  1.3857565644  1.027684364   0.85406099019
## 380     good  0.6693528537 -0.3937882231  0.884188641   0.04852957703
## 381     good  1.3554499227  0.8141820465  0.068269032  -0.42162195351
## 382     good  4.5920898329  0.0894409184 -0.436768906   0.97211130738
## 383     good  1.3554499227  0.8141820465  0.068269032  -0.42162195351
## 384     good  1.3554499227  0.8141820465  0.068269032  -0.42162195351
## 385      bad  0.0047823430 -0.9839074402 -0.155541444  -0.42969628078
## 386     good -0.7391286994 -0.3371219471 -1.059562820  -0.65542154921
## 387     good -0.0154886172 -0.9311242300 -0.352122334  -0.47579252692
## 388     good -0.5647850001 -0.5069134533 -1.146704592   0.17222233662
## 389     good  0.0275182472 -0.8764236083 -0.101791867  -0.46120923142
## 390     good  1.4388821018 -0.0493068921 -0.085461206   0.06897719132
## 391     good -3.6346031116  0.4457253678  1.599668671  -0.90108436819
## 392     good  4.5920898329  0.0894409184 -0.436768906   0.97211130738
## 393      bad  1.5943891646  0.9549144307 -0.942884395   0.68738653623
## 394      bad  1.1997505915 -1.1439819432 -0.547470474  -0.11035899967
## 395      bad  3.2669997767  0.8797254024 -1.624558719   1.41256059867
## 396     good  3.1753769295  1.6590597165  0.803436903   2.27155414888
## 397      bad -0.7935544314 -6.2206587322  1.648028062   1.41242831261
## 398     good  2.3157778903  0.4008152171 -0.254755388   0.81482064994
## 399     good  2.3157778903  0.4008152171 -0.254755388   0.81482064994
## 400      bad  0.0193242204 -0.1751750609 -1.611871090   0.34820203260
## 401      bad -0.7935544314 -6.2206587322  1.648028062   1.41242831261
## 402     good -0.6203987865  0.9143858304  1.014250322   0.72105698445
## 403     good  2.9954685936 -0.3078854902 -0.224832345   1.18596443172
## 404     good  2.2776909622  0.3154014205 -0.958632669   0.85271804610
## 405      bad -0.6129961912 -0.6411603366 -1.625927439   0.01559684162
## 406     good  0.6127886296  1.3477290738  0.385336600  -0.09814348086
## 407     good  1.3366507824  1.0960110122 -0.174357465   0.79621594623
## 408     good  3.1079036467  0.9002242401 -0.177431058   1.11022675575
## 409     good  2.4571333684  1.4782236132  0.278815800  -0.52279455241
## 410      bad  2.8640470336 -0.7982561130 -0.092945103   1.79193263116
## 411     good  0.6983753098 -1.4910271681  0.300014640   0.54057270463
## 412      bad  0.7179048121 -1.2025100672  0.046332402   0.50168200345
## 413      bad -0.6883471565 -1.2747914512 -0.893169808  -0.69965122498
## 414     good  2.3208606124  0.8968074733  0.616459211   1.05647790651
## 415      bad  0.8290338411 -2.1626824650  0.387889393   0.44114880504
## 416      bad  1.9658957174 -4.3356576166  0.508905107  -0.28862834649
## 417     good  1.7342678135  1.8741512420  0.178826118   0.14322147935
## 418      bad -1.7268536455 -2.2767431200  1.221845870   0.16435240429
## 419     good  2.8272604901  1.1970934917 -0.698628341  -0.11863358398
## 420      bad -2.2384733786 -1.7587245427 -0.279164132  -0.27241347626
## 421     good  0.5104560598 -0.7408101754  1.515032548   0.17384191430
## 422     good -2.9379453288 -0.6180393662  0.782025357   0.34212351393
## 423      bad -1.9078394555 -0.4415537933 -0.898096072   0.78925429934
## 424     good  2.3092629911  1.9007178239  0.603230873  -0.00766889244
## 425      bad -1.9078394555 -0.4415537933 -0.898096072   0.78925429934
## 426     good -2.9379453288 -0.6180393662  0.782025357   0.34212351393
## 427     good -2.6698811458  0.0869264716  0.293574627   0.59810088010
## 428     good  0.2005993874  0.3299998982 -1.822970851   0.47447648715
## 429      bad  0.6336576249  0.4770612131 -1.269993528   0.16005510392
## 430     good  2.8248308132  0.0720427227 -1.619267204   0.98553061473
## 431     good  2.3092629911  1.9007178239  0.603230873  -0.00766889244
## 432      bad  0.2126650030 -1.0306199421 -0.362042804   0.33445907522
## 433     good  2.5647785520  2.4414111210  1.370273739   0.94756801348
## 434      bad  3.2132819200  0.9393370557 -1.602877038   1.32260622089
## 435     good  2.8499349677 -0.4765674275  0.463659179   0.25702835796
## 436      bad  3.2132819200  0.9393370557 -1.602877038   1.32260622089
## 437     good -0.6253324578 -1.3639456918  0.665574960   0.46633707190
## 438     good  2.6750164540  1.5607372666 -0.033354351   1.25095086352
## 439     good  2.8499349677 -0.4765674275  0.463659179   0.25702835796
## 440      bad -0.5519972372  0.1529855894 -0.986882478  -0.29689142239
## 441     good  4.4104777611  1.4443593791 -0.296928748   0.48609716620
## 442     good  3.0487796426  1.7073177491 -0.051316048   1.01163289797
## 443     good  5.5353026325  0.3866010798 -1.606180710   1.78094859451
## 444     good  1.0486353799  1.6079465809  0.457060782   0.67437408982
## 445     good -3.1366432904  1.8742317381  1.074781043  -0.99296408941
## 446     good  0.1004276569  0.1228777760 -2.052628005   0.39236422724
## 447      bad  3.3902207995 -0.7275450494  0.926682828   0.98209632933
## 448      bad  0.8056683330  1.4157262296 -0.336349950  -0.69982504023
## 449     good  0.1608407480  0.7200970876 -0.999503845  -0.07568020374
## 450     good  3.2824688943  0.6413081726  0.075010522   1.09868837696
## 451     good  3.2824688943  0.6413081726  0.075010522   1.09868837696
## 452     good  3.9212462064 -0.2625294107 -0.691586474  -6.02467090048
## 453     good -1.5119182559 -0.2383788464 -0.541770133  -0.43769452687
## 454     good  2.5537422970  1.5576041243  0.040540345   0.65924282952
## 455      bad -0.8503685741  0.5474157617  1.993179961   0.18163312839
## 456     good  2.3663151025  1.6456979738  0.532848343   1.59492216756
## 457      bad  0.5148554636  0.7202066952 -1.263552855   0.26955782077
## 458      bad  0.4877010264 -1.7431759000 -0.554747902   0.37667165368
## 459     good  2.5537422970  1.5576041243  0.040540345   0.65924282952
## 460      bad  2.7506550682 -0.2159928739 -1.647034384   1.14193425951
## 461     good  0.8213194793  1.1584287596  0.342815131   0.56525199099
## 462      bad  0.2756233733  0.1799343443 -1.805296884   0.05183617767
## 463      bad  2.2887459152  2.0284317211  0.973378491   0.96375805579
## 464      bad  1.5422026457 -2.3172803865  0.336910966   0.26326782957
## 465     good  3.3111852800  1.2512634309 -1.087008458   0.37390869189
## 466      bad  1.9520019204  0.4218592993 -0.332841451  -0.26143722095
## 467     good  1.5025887554  0.3472039878  0.625440351   0.53235597560
## 468     good -0.0783413905  2.8399288289  1.932788973   0.22616948402
## 469     good  3.2260222552  0.9339909561 -1.216015780   0.71241657369
## 470      bad -1.2199010844 -1.3681814617 -0.458457393  -0.16556092112
## 471      bad  3.7806147396  0.6277132514  0.006173020   1.23236948809
## 472     good  0.9663272335  0.0210395840  0.923033051   0.28707123940
## 473     good  3.2880736770 -0.3997064154  0.742495531   0.59666328154
## 474      bad  1.5885087723  1.9034063574  0.144195316   0.18885695837
## 475     good  2.4564707668  1.0735234679 -0.118489214  -0.40901380073
## 476      bad  0.9269953314  0.4035933039 -1.788491295   0.29052422733
## 477      bad  1.4100404940  1.2650830425 -0.488178675  -0.06972975077
## 478     good  2.4585284773  2.0553046977  0.849568318  -0.75210743794
## 479      bad  0.9269953314  0.4035933039 -1.788491295   0.29052422733
## 480     good  0.4882581689  0.1491076758 -1.608589356   0.11780196204
## 481      bad  4.4331012560 -2.0928771644 -0.721202888   4.47143645967
## 482     good  1.9260510625  2.1823343795  1.188763955  -0.27712598411
## 483      bad  3.7219672565  0.9895601332 -0.424824664  -1.79529710588
## 484      bad  3.7566418720  0.9504703020 -0.355095548  -1.81955647052
## 485     good  2.4835011368  2.1461456165  1.175743569   0.83128027845
## 486      bad  0.7730634181  0.9228737640 -1.722259921   1.10493499157
## 487      bad  0.7730634181  0.9228737640 -1.722259921   1.10493499157
## 488     good  0.7754386549  0.9760264566 -1.961999777   1.30209460648
## 489     good  2.8427578376 -0.8129348741  1.630258464   0.41154821939
## 490     good  1.1325865363  0.7845255627 -0.207017076   0.24715392409
## 491     good  0.2546396254 -1.0404219646 -0.427233125   0.40140711476
## 492     good  0.2742794474  2.3487113011  1.985200011   0.43109358909
## 493     good  0.3838318675  2.3454651832  2.371748430   0.11018430304
## 494     good  0.2609030033 -1.2165531107  0.378931029   0.39558636366
## 495     good -1.0259683220 -1.5295354305  2.733839127   2.34473377532
## 496     good  1.9453179863  1.8886616183 -0.010244977   0.81466235404
## 497     good -0.1323202712 -0.3823065302 -1.057917588  -0.14859496569
## 498      bad  0.0746504001 -1.9362243090  2.914431100  -0.27235342346
## 499     good  1.9453179863  1.8886616183 -0.010244977   0.81466235404
## 500     good  0.2609030033 -1.2165531107  0.378931029   0.39558636366
## 501     good -0.1323202712 -0.3823065302 -1.057917588  -0.14859496569
## 502     good  3.0740056348 -1.3634390467  2.703174879   1.63675072753
## 503     good  3.0740056348 -1.3634390467  2.703174879   1.63675072753
## 504     good  2.4001570896  1.8890827105  0.748935182  -0.72342557163
## 505     good  2.2312431689  1.9025707181  0.696680608  -0.79260643000
## 506     good  1.8009790711  1.8585460907  1.070296602   0.52284953911
## 507     good  2.1319952494  1.9426107415  0.712249023  -0.66375182611
## 508     good  2.5085956265  0.5836603547 -1.922981417   0.36357285482
## 509     good  1.3462990796 -1.0767299775 -0.360117088   0.45114438365
## 510     good  3.9267610227  0.8665317837  1.148874552   1.30682703002
## 511      bad  3.0233474835 -0.3133108471 -0.265408200   1.57498447908
## 512     good  1.3462990796 -1.0767299775 -0.360117088   0.45114438365
## 513     good  2.8208511914  0.1046897240 -0.107600881  -0.66017284285
## 514     good  2.2003808022  1.8887903830  0.010615811   0.25608043032
## 515     good  2.2003808022  1.8887903830  0.010615811   0.25608043032
## 516      bad  2.6435464998 -4.3351146220  1.425115050  -0.60636485454
## 517     good  2.8782225235  1.0715309886 -0.869402308   1.11273986335
## 518      bad  2.6338559267 -0.0925382175 -2.558074438  -1.35761871772
## 519     good  1.9552765317  1.6756219860  1.045707398   0.71083321275
## 520      bad  0.3565170016 -1.5521237552  2.777978101  -0.17456530233
## 521     good  1.7066772449  0.6502216970  0.695569452  -0.27312558286
## 522      bad  0.3170780339 -0.1838128652 -0.231144023  -0.07947428815
## 523      bad  1.2406867883 -2.9396943347  2.797535388  -0.91316565833
## 524      bad  1.3771074539 -2.8168259776  1.510554208   0.82144234784
## 525      bad  1.3844493799 -1.5860124630  0.795831716   0.36539923690
## 526      bad  1.3410589741 -1.4890767514 -0.667505342   0.27672529692
## 527      bad  0.3565170016 -1.5521237552  2.777978101  -0.17456530233
## 528     good  0.0726602276 -0.7734296276  2.535605447  -0.35307141327
## 529     good  1.2351886623 -1.4710981677  0.334270873  -0.04309644069
## 530      bad  0.9444469397  0.2354909011 -1.730966670   0.43108821915
## 531     good  1.0135709739  1.3817156700 -0.195670955  -0.32914636976
## 532      bad  2.9374344615  0.3274232994 -0.672340042   0.97580660872
## 533      bad  2.9374344615  0.3274232994 -0.672340042   0.97580660872
## 534     good  0.4731931599  1.9145315696  1.527776604   0.60559676511
## 535     good  1.2182102551 -0.1055728854 -1.258369534   0.61030364514
## 536     good  1.0135709739  1.3817156700 -0.195670955  -0.32914636976
## 537      bad  0.9444469397  0.2354909011 -1.730966670   0.43108821915
## 538     good -0.5203604485  0.7810462159 -1.319795528  -0.60842000130
## 539     good  3.4414459596  0.9058918749 -0.067308435   2.48288553643
## 540      bad  3.0257055388  1.0157157141 -0.397563123   1.49475961291
## 541      bad  0.8966116493 -1.0124472154 -0.786590187   0.15920777414
## 542     good  2.0027718933  0.7170936153 -0.096014840   1.54528761871
## 543      bad  0.3167933675  0.7042936737 -1.669091320   0.23551005926
## 544     good  1.8242062565 -0.2305351720 -0.697618350   0.43605306546
## 545     good  5.5003604339  1.1049505130 -1.618413361   0.68616083521
## 546      bad  1.8234269211 -2.5046429849  0.794543147   0.49456501969
## 547     good -0.2214901369  0.1259488350 -0.911877193  -0.53763050857
## 548     good  2.1861450699  1.5530286241  0.122776135   0.25276886992
## 549     good  3.0835287410 -0.5268502942  0.717314650   0.85133531344
## 550     good  1.3531187498  0.4546680757 -1.294141754  -1.12907006593
## 551     good -1.4168217862  0.3239126645 -1.057525812  -0.14945596596
## 552     good  1.1676454978 -0.0397839517 -0.288896680  -0.00056148345
## 553     good  1.3578562148 -0.0376318356 -0.398005435  -0.06231002561
## 554      bad -4.0639695509 -1.5940326018  1.237827982  -0.32644286596
## 555      bad  5.0903446976  0.2849233122 -1.762554933   1.66211071397
## 556      bad  5.0903446976  0.2849233122 -1.762554933   1.66211071397
## 557     good  2.7259424294  0.6600007083 -0.668946122   1.26475992822
## 558      bad  5.1184484969  0.2912700454 -1.769636768   1.67529880516
## 559     good  2.7259424294  0.6600007083 -0.668946122   1.26475992822
## 560     good  3.0619207947  0.8679622262 -0.107950003   1.87681967968
## 561      bad  2.4566123568  1.3497088067 -1.148852096   1.44614728036
## 562      bad  1.2598392395 -1.9695075053  0.704865624   0.64468032668
## 563      bad  1.7436745235 -2.8522322466  0.886727791   0.49299017443
## 564     good  0.6937115471 -0.4089000309  1.139531195   0.28200077165
## 565     good  3.0619207947  0.8679622262 -0.107950003   1.87681967968
## 566      bad  2.4566123568  1.3497088067 -1.148852096   1.44614728036
## 567     good  0.9750974328 -0.4341306533 -2.672124085  -1.84426182768
## 568     good  0.9750974328 -0.4341306533 -2.672124085  -1.84426182768
## 569     good  2.3670218236  0.6271726688 -0.852457079  -2.24914731869
## 570     good -1.9079911544  0.7622662171  1.481007283  -0.16531256500
## 571     good  2.6843706293  0.8307022563  0.281334311   0.57765868872
## 572     good -1.9079911544  0.7622662171  1.481007283  -0.16531256500
## 573      bad  2.0098230436  1.2641757791  0.107981902   0.80712357097
## 574      bad  1.4051419287 -0.1747039620 -1.064538067   0.91531302974
## 575     good  2.4094212911 -0.6848251362  0.518744216   0.87133903271
## 576     good  3.0386193461 -0.2102714466  0.818773095   0.79290773813
## 577      bad  0.4492157693  0.8475169072 -1.444210694   0.34838103824
## 578      bad  1.1698659635 -1.4486190735  0.432103294   0.61758293100
## 579      bad  1.1485427391 -1.3447108042  0.438214832   0.63142194547
## 580     good  1.8136205644  0.4430688104 -0.036158861   1.22959693577
## 581      bad  2.5053310512  0.8538955100 -2.125114730   1.36672737829
## 582      bad  2.5053310512  0.8538955100 -2.125114730   1.36672737829
## 583      bad  2.3099668814  0.7103139047 -2.193525770   1.34613376214
## 584     good  2.9384057937  1.3994101380 -0.385226521   0.65922882621
## 585     good  2.6409076451 -2.2446060195  2.127525254   0.99860796196
## 586     good -0.3281823776  0.0466136990 -0.891732878  -0.20866525190
## 587     good  3.0698464544  0.5378164081  0.898833222  -0.48575636871
## 588      bad -0.4137554716 -1.8203625877 -0.548880974  -0.54143468807
## 589     good -3.5323125244  1.8277059351  3.423481538  -0.45230941369
## 590     good  2.2877256712  1.7980130167 -0.062683264   0.59613797893
## 591      bad  1.0588377991 -0.9381101168  0.114525140   0.71504172469
## 592     good -0.6458707802 -0.7086632387  2.967712369   0.29853566806
## 593      bad  1.0588377991 -0.9381101168  0.114525140   0.71504172469
## 594      bad  2.2448292655 -0.3934909637 -1.321214570   0.90857477740
## 595      bad -0.7072350554 -0.9920649046 -1.278946946   0.13261826943
## 596      bad  1.6987890950 -3.5665847850  0.333918176   2.10541625761
## 597     good  3.0816260835  0.9723742884 -1.453879104   1.18658073646
## 598     good  2.4441081104  1.2847359315 -1.286380836   0.71758428429
## 599     good -0.1876797616  0.5316224336 -1.490751610   0.41737062718
## 600     good  3.2686798844  0.2614656674 -1.821926681   0.61988089418
## 601      bad -0.7750688861  0.1970914359 -2.010783183   0.13907012203
## 602     good  3.3677954563  0.1087584838 -1.696396575   1.39728533969
## 603      bad -1.1296098743 -0.1969752998 -2.629832387   0.09442249291
## 604     good  3.3677954563  0.1087584838 -1.696396575   1.39728533969
## 605     good  0.5167240728 -1.1682713576 -1.205939327   0.02290969801
## 606     good -0.0421897513 -0.0150273222 -1.919230483   0.12857389537
## 607     good  1.1372793216  1.4133356212  1.069062242   0.81840255988
## 608     good  0.7136544372 -0.7220955768  0.332428018   0.88580820003
## 609     good  2.1477209667 -1.3811931087 -1.278327329   1.17647043761
## 610     good -1.9138056976  1.0758989135  1.507381190   0.72454555565
## 611      bad  1.1725698019 -0.5918086749  0.515834326   0.79126385725
## 612      bad  3.9229649729  0.9453744887 -1.816421013   1.49425593622
## 613     good -1.2215029021 -0.3136535325 -0.864314136  -0.04821232013
## 614      bad  0.3909134134  1.0352270962 -0.002112744  -0.20017447969
## 615     good  2.3414616671 -1.1042262304  0.292695918  -3.23573409160
## 616      bad  0.7541133639 -1.4536420119 -0.180131718   0.84462337498
## 617      bad  0.7541133639 -1.4536420119 -0.180131718   0.84462337498
## 618     good  3.2315705622  0.8931537422  0.155901690  -0.21145504004
## 619      bad  3.0988015816  0.8909876825 -1.388764634   0.19318067082
## 620      bad  2.7495032393  0.9764734848 -1.080284783  -0.02981989725
## 621      bad  0.3238192283 -1.8000424781 -0.036081365   0.55590128213
## 622      bad  0.2413929414 -1.6127084858 -0.235576387   0.45252086771
## 623      bad  0.7892964765  0.2901628615 -1.539308790   0.37238345362
## 624     good -0.2895111666  0.3073576808  1.481137233  -0.51649768352
## 625      bad -0.5074863403 -2.1526122708 -0.631431308  -0.00653140529
## 626      bad -0.5074863403 -2.1526122708 -0.631431308  -0.00653140529
## 627      bad  0.3023997610  0.2725123581 -2.204928417   0.30807895711
## 628      bad  0.3023997610  0.2725123581 -2.204928417   0.30807895711
## 629     good  0.4546272277  0.1542494882 -1.369526359  -0.01997405782
## 630      bad -0.1502794070 -1.5694927403 -0.472689677  -0.52736259185
## 631     good  0.4546272277  0.1542494882 -1.369526359  -0.01997405782
## 632      bad  2.3302690054  1.0531914723 -0.779982173   0.38762810003
## 633     good -0.5638691680 -0.1950537150  0.351160527   0.31334969628
## 634      bad  0.4840736254 -1.4360569036 -1.357682559   0.59095124133
## 635      bad -0.1916634547 -2.3798771631  1.673139605   0.33292542794
## 636      bad -1.4545428918 -0.6591694516 -1.251432369  -0.01835410747
## 637      bad  0.2829088144 -3.3937236990 -0.305309439   0.56982273355
## 638      bad  0.1791229257 -3.3920481232 -0.286924964   0.54503591865
## 639     good -0.9912326773 -0.0601414360 -1.876519791  -1.28143400791
## 640     good  1.9299475446  0.1061397954  2.134399398  -1.89133372433
## 641      bad  1.0728456949 -0.2490290038 -0.875396993   0.66590500004
## 642      bad  0.6986170436 -1.0661692437 -0.436574624   0.62720001058
## 643      bad  1.0728456949 -0.2490290038 -0.875396993   0.66590500004
## 644      bad  0.6986170436 -1.0661692437 -0.436574624   0.62720001058
## 645      bad  1.0728456949 -0.2490290038 -0.875396993   0.66590500004
## 646     good  0.0516123430 -0.2621901346 -1.418399701   0.26894864904
## 647      bad -0.9522409339  0.0383656789 -1.419352619  -0.25354126916
## 648      bad -1.3571472887  0.7219166746 -1.730720259   0.14543706978
## 649     good -0.0148188811  1.0717513036  0.200677111   0.43111362651
## 650     good  0.0730832368 -2.6573057544  2.722109221   2.05557382458
## 651      bad  2.5930748917  0.4938675199 -1.418055268   0.58630952189
## 652      bad  0.5235881412 -3.5720457245  0.433678017   0.42703109061
## 653      bad  4.7092275291  0.8959366947  3.184346232   2.46357501162
## 654     good  1.7120439632  1.6677641690  0.681316961   1.14173455132
## 655      bad  1.2847153310  0.5578790746 -1.178664347   0.88132094838
## 656      bad  1.4348163962 -1.2350541303 -1.269156460   0.63000887231
## 657      bad  2.5930748917  0.4938675199 -1.418055268   0.58630952189
## 658     good  3.0161878260  0.4123186478  0.093351533   0.60042501714
## 659     good -0.5469547541  0.7051513810 -1.117018673  -0.94619563855
## 660      bad -1.5265409477  0.1289505064 -1.560603970   0.26852456258
## 661     good -0.5469547541  0.7051513810 -1.117018673  -0.94619563855
## 662      bad  0.2240558964 -0.1811042462 -0.605005806  -0.20232177138
## 663     good -0.9086472195  0.2443950141 -1.160543638  -0.57452329106
## 664     good  2.1680971829  1.8938834033 -0.125001992   0.27537163094
## 665      bad  3.3047694277  0.1616971779 -0.436451072   0.71640819057
## 666      bad  0.5128181265 -0.9324151090 -0.824690031   0.36486404139
## 667     good  1.4488820420  0.3610926701 -1.594451732  -1.92655253693
## 668     good  3.0618655706  1.0870477750 -1.306922621   0.44410587125
## 669      bad  0.6594202008  0.5812274229 -0.505158091   0.85229103340
## 670     good  3.0618655706  1.0870477750 -1.306922621   0.44410587125
## 671      bad -0.4756540111 -0.6281254216  0.771211297   0.09266442748
## 672      bad -0.3553170343  0.5851726190 -2.069386611   0.10394014698
## 673      bad  0.1911368607 -3.9274852090 -1.051840435   0.48626405760
## 674      bad -0.3553170343  0.5851726190 -2.069386611   0.10394014698
## 675     good  2.2961796834  0.8852852747 -1.215274977   0.31165407990
## 676      bad  1.0806917507  0.6480932614 -0.344494443   0.59249017280
## 677     good  2.2961796834  0.8852852747 -1.215274977   0.31165407990
## 678      bad -0.9156804674 -0.3861187797 -1.920865866   0.43267404548
## 679      bad -1.1359334190 -3.0260560531  0.152366105   0.60377407449
## 680      bad  1.9501037512  0.0286337856  0.310600958   1.45515400970
## 681      bad  3.5076923844  0.0460878142 -1.496887065   1.60875580466
## 682     good -0.1468564617  0.3623565287 -0.351064880   0.24342311841
## 683      bad  0.2196113221 -1.1677141208  0.288580126   0.63535870112
## 684      bad -0.9502950855  0.9855350322 -1.159378195   0.62828716172
## 685      bad  0.1618231077 -3.8148758724 -0.356061574   0.85325714789
## 686      bad -0.9502950855  0.9855350322 -1.159378195   0.62828716172
## 687      bad -1.1278954647 -0.4145194894 -1.210725666  -0.15481333122
## 688      bad  0.7754448806 -0.6525112146 -1.554968991   0.47774779267
## 689      bad -1.7295760640  0.7944396441 -2.028813101   0.56062642001
## 690      bad  1.7667765702  0.9547992276 -0.245219992  -2.44649296925
## 691      bad -2.6796319383 -0.4642430756 -2.504470516   0.12655043131
## 692      bad -0.2411098372 -1.8332354867 -1.739063674   0.58509051068
## 693      bad  4.0863559656 -1.4940570453 -0.269216620  -6.43658443258
## 694      bad  0.7945698336 -2.0281077996  0.298648156   0.50942781670
## 695      bad  0.7795840176 -2.2022577126  0.436502989   0.53121337975
## 696     good -4.7570170106  1.4369202681  2.189013618  -0.08459318569
## 697     good -1.5027212153  0.0487247824 -1.454003561  -0.29627040232
## 698     good -1.5027212153  0.0487247824 -1.454003561  -0.29627040232
## 699      bad  0.8850818655 -1.4360803653 -1.032796630   0.96841288823
## 700     good  2.6020749372  1.7187550420 -0.551912698   1.01447745159
## 701     good  1.2548205104 -2.0679538702 -1.004852046   0.88877166813
## 702     good -1.5027212153  0.0487247824 -1.454003561  -0.29627040232
## 703     good -1.5210472578  0.0349734940 -1.417802392  -0.33391228334
## 704      bad  0.6280637866 -0.9244222772  0.963705642   0.13996594548
## 705      bad -0.5386257098  0.4190722192 -2.535528437   0.12281301887
## 706      bad -0.5060846684 -1.8895659121 -2.168654744   1.54146245996
## 707      bad -1.9090352061  0.1738565314 -1.592129691  -0.17808898608
## 708      bad -0.8258935560  0.0489786110 -0.134911740   0.60121873100
## 709     good -1.0439575229  0.8366195977  0.118609601   0.31837686813
## 710     good  1.4297631105  0.8693927557 -0.052581798   0.53345577663
## 711      bad  1.3480066416 -1.7656872047 -1.302070492   0.78724690910
## 712      bad  0.8701260759 -1.9395265406 -0.390919705   0.53595492703
## 713      bad -0.5155006970 -0.9009758212 -2.179997831   0.85313620783
## 714      bad  0.1142581515  0.0250194720 -0.763367193   0.73402447395
## 715      bad  0.3555203142 -1.3930239000 -0.858634139   0.84728728015
## 716     good -0.6215288318 -0.1758650209 -0.963930447   0.54477224236
## 717      bad  0.1142581515  0.0250194720 -0.763367193   0.73402447395
## 718      bad -0.2946467984 -0.0807556821 -0.468531187   0.23235091965
## 719      bad -0.4353694587  0.1607041425 -1.789236246   0.47824006179
## 720      bad -1.3497063692 -1.2521233860 -1.145898567   0.41489146300
## 721      bad -0.4353694587  0.1607041425 -1.789236246   0.47824006179
## 722      bad  1.0417457870 -2.6063687073  0.325500876   0.62241845223
## 723      bad -0.2622641931 -0.2032905457 -0.261171089   0.13986472340
## 724      bad  2.2930946569 -2.0035345098  3.411719265  -2.74987260875
## 725      bad -2.3695525657  0.3160554988 -1.863568710  -0.15293130990
## 726      bad -0.1248637338  0.6818254028 -1.573715146   0.60713424569
## 727     good -0.5077890181 -0.7122041184 -0.581428819   0.06699577222
## 728      bad -1.5866951178  0.6543851620 -1.486507858  -0.51619801497
## 729      bad -1.5866951178  0.6543851620 -1.486507858  -0.51619801497
## 730     good -3.2959842750 -0.6578918888  0.798499481   0.61959847452
## 731      bad  3.3703914361 -0.6673383200 -1.180127138  -4.02649892124
## 732      bad -0.6431042654  0.3872298743 -2.006124166   0.83671798931
## 733      bad -1.7307727314 -0.2149417794 -2.163916509  -0.09621509320
## 734      bad -0.4942352456 -0.8854014949  0.010883639   0.24067189907
## 735      bad -0.4854639045 -0.1985112179 -1.340591497   0.05265765365
## 736      bad -1.1760580802 -0.4853739321 -2.391731970  -0.48791632950
## 737      bad -1.1760580802 -0.4853739321 -2.391731970  -0.48791632950
## 738     good -0.4484857621 -1.5215577240 -1.311676075   0.00452611872
## 739      bad  1.1452016678 -2.1885891150  0.081800285   0.53595044046
## 740      bad -0.3011096966 -1.0991033211 -1.736118973   0.13710674595
## 741     good -0.6914087775  0.5130703840 -0.263431934   0.50338644341
## 742      bad  0.6551926626 -2.6407432456  0.525995803   0.68337305693
## 743      bad -1.6462958348  0.0562626108 -1.564649195  -0.36649670840
## 744      bad  2.9949658078 -1.4455699824  0.258577314   1.34064391571
## 745      bad  2.7799871931 -1.4272277087 -0.103042717   1.23300719237
## 746     good -0.8001888147  0.0982029029 -0.710714480  -0.31594094398
## 747     good  0.5931393943 -0.2825939917 -0.563578616   0.74728483789
## 748      bad  0.7604462726 -0.4971319750 -0.079292449   0.84000005429
## 749     good -0.8479286141  0.0948144405 -0.610744088  -0.29822901984
## 750     good -0.8001888147  0.0982029029 -0.710714480  -0.31594094398
## 751      bad -0.2675412924 -0.8562008690 -1.334427175   0.30928982527
## 752      bad -0.2675412924 -0.8562008690 -1.334427175   0.30928982527
## 753      bad -0.4823718117 -1.4551437931 -0.349970788  -0.10546952629
## 754      bad -0.2675412924 -0.8562008690 -1.334427175   0.30928982527
## 755     good  3.5828218360 -0.5244432756 -0.237600436  -6.24194275562
## 756     good -2.5882975604 -0.6439361365 -0.811901644   0.59495391789
## 757     good -3.5691862362 -0.0937517701 -0.999086477   0.26637613962
## 758      bad -1.2300729390 -0.3530019080 -2.111773235   0.05221841152
## 759      bad -1.2300729390 -0.3530019080 -2.111773235   0.05221841152
## 760      bad  0.7072286790 -2.0701624198  0.178794472   0.56946090168
## 761      bad  0.5070425191 -1.1300528681 -0.562739425   0.63359812541
## 762      bad  0.1443651950  0.2412699247 -1.910030916   0.48481228903
## 763     good -0.9823951857  0.4228809579 -1.860486967   0.24719264750
## 764      bad  0.1443651950  0.2412699247 -1.910030916   0.48481228903
## 765     good  0.0936464036 -0.7177111718 -1.821190071   0.38089433002
## 766     good  0.1080593870 -0.8566673045 -1.733378278   0.51647093944
## 767      bad  0.4711701416 -0.9646196690 -0.993059253   0.40648577971
## 768      bad  0.1243047088 -1.6304553860 -0.587533852   0.01004931395
## 769     good -1.7064929338 -1.9135421902 -0.151010494   0.21096782737
## 770      bad -1.4126382690  0.0008949677 -1.819151025  -0.01984992529
## 771     good -1.7064929338 -1.9135421902 -0.151010494   0.21096782737
## 772      bad  0.3363144163 -2.6820147590 -0.077956099   0.57129874296
## 773      bad  0.5643953017 -2.4913586412  0.211467452   0.61548957326
## 774     good  1.0051199931  0.5368754584 -0.529479123  -2.14120974459
## 775     good  0.9771608383  0.4793206846 -0.473836826  -2.10194937961
## 776      bad -2.2290091065 -0.2713315856 -2.407211734  -0.10269436538
## 777     good -0.6615625670 -0.4885278176 -1.337723051  -2.48958908812
## 778     good -0.5629150936  0.2046488189 -1.305793473  -2.40683392365
## 779      bad  0.2880646630  0.5584465664 -0.355384519   0.62117085572
## 780      bad -1.3426486215 -1.6026905833  0.067220596   0.17924683820
## 781     good -0.6217883321 -0.7477605473 -1.309216717  -1.84168003570
## 782      bad -1.4268600629  0.0176724598 -0.559439683  -0.69768266743
## 783      bad -0.7527717281 -2.2413511805 -0.780015753   0.51782632232
## 784      bad -1.4268600629  0.0176724598 -0.559439683  -0.69768266743
## 785      bad -1.6451886176 -1.5449462515 -0.251512549   0.12275966857
## 786      bad  1.4574000102 -0.0154235685 -0.529099940   0.87860628606
## 787      bad  1.4574000102 -0.0154235685 -0.529099940   0.87860628606
## 788     good  1.0388595499 -0.6522986841 -0.780788467   0.74648337718
## 789     good  1.0388595499 -0.6522986841 -0.780788467   0.74648337718
## 790      bad  0.6379601043 -2.4141263501 -0.508608241   0.41123722832
## 791     good  0.4544341965 -0.7054486251  0.770013337   0.03027219891
## 792      bad  0.2440909587 -2.6716407995 -0.060803150   0.66321138330
## 793     good -1.3965051923 -1.4975195410 -0.452908057   0.00440821123
## 794      bad -1.4997217522  0.9001821541 -0.997808321   0.51050147322
## 795     good  1.0696326891  2.5335376540  1.226462355   1.17288055343
## 796      bad  2.4479889198 -0.4155044579 -0.921934810  -2.08410353607
## 797      bad  1.3981878268 -1.0166888133  0.181383345  -0.70705107744
## 798     good  0.6149311533  0.9560846700  1.387956917   0.14692008043
## 799     good  0.8463407705  0.9024525317 -1.063237462   1.12226500153
## 800     good  0.8463407705  0.9024525317 -1.063237462   1.12226500153
## 801      bad -0.7433761582 -2.5324055682  0.113381459   0.64033629932
## 802      bad -0.2952003988  0.3810988361 -1.501507952   1.08071451687
## 803     good -3.3005506786  0.6604814788  2.480730498  -1.13864599101
## 804     good -0.1836637810 -0.5518320360 -0.858212977  -0.63734600629
## 805     good  0.0231833536  0.8171483602 -1.205030862   0.23763811782
## 806     good -0.4695237098  3.0903905686  1.705020989   0.36601185250
## 807     good -0.2087256144  3.1121268551  1.554360895   0.41085095087
## 808     good -0.4695237098  3.0903905686  1.705020989   0.36601185250
## 809      bad  0.3007698951  0.4496874087 -1.424375403  -2.30800383379
## 810     good  0.0764251040  1.1032459848 -0.823126067   0.52796389311
## 811      bad -1.1890236274  1.1808160188 -0.882495174   0.53651324015
## 812     good  3.2756178513  1.1436226511 -0.889148528   1.24765954668
## 813      bad  1.5053947146  0.2119901667  0.121237516   0.22574355485
## 814      bad -1.2836164505  1.9969693703  0.208700235  -0.37920598180
## 815     good  2.9763061398  0.5217929496  0.428573344   0.59404870740
## 816      bad  1.5053947146  0.2119901667  0.121237516   0.22574355485
## 817     good  0.7583820815  0.4322052084 -1.005160609   0.80002063015
## 818     good  0.9937439682  1.7273558613  1.474436749   0.10131194207
## 819      bad -1.5672663308 -1.1116655687 -1.208885557   0.37038529824
## 820      bad  0.5372440416 -0.9806748782 -1.777575823   0.58719806684
## 821      bad -1.4655912406  0.1207330714 -1.505046464  -0.69700703591
## 822     good -4.1758506384  1.9588240856  2.991435870  -0.40298045507
## 823      bad -1.6118208200 -0.1783735766 -0.536270414  -0.22519980831
## 824      bad -1.6118208200 -0.1783735766 -0.536270414  -0.22519980831
## 825      bad -0.2592232220  0.9472335724 -0.734471817   0.54279506116
## 826      bad -1.1079324675  0.2409121396 -0.036411596   0.56600754700
## 827     good -0.5875044985  2.2155612698  0.537413837   0.38613054683
## 828      bad -1.1079324675  0.2409121396 -0.036411596   0.56600754700
## 829     good -1.9100280725  0.1692155050  2.126351369  -0.07166981884
## 830     good -2.6245202017  0.7196741574  0.630618382  -0.89515607419
## 831      bad -1.5349910966  1.0315132635 -1.205585147   0.43123916762
## 832     good -2.6245202017  0.7196741574  0.630618382  -0.89515607419
## 833      bad  1.6253595491 -0.8564497007  0.670751449  -1.20693102343
## 834      bad  1.9932304384 -0.9914373361  0.642298038  -1.04044184887
## 835      bad -0.3583699613 -0.0764855431 -1.530523244   0.22190216768
## 836      bad -1.3870102749 -1.2343217090 -0.672350168   0.19581707468
## 837     good -2.1434101500 -0.2045774515  3.436656638   1.52288938678
## 838     good -2.1434101500 -0.2045774515  3.436656638   1.52288938678
## 839     good  1.1958045738  1.7126988929  0.617976188  -0.23034234338
## 840      bad -1.8895107902  0.0949311805 -0.792478218  -0.03401491890
## 841     good  1.7265331598  1.5964705345  0.716457205   0.40169145622
## 842      bad -1.6786061161 -0.6830183821 -0.471339222  -0.61969717941
## 843     good  1.5435149849 -0.8978820297  1.246819741  -0.06358917210
## 844      bad -0.3123181549 -0.9281163070 -0.534439915  -0.36408163641
## 845     good  1.4467584987  0.7090744073  1.643553309  -0.03556822813
## 846      bad -1.6376925175 -0.0740518645 -0.683526802  -0.51271389464
## 847      bad -1.6376925175 -0.0740518645 -0.683526802  -0.51271389464
## 848     good -1.0578238539 -0.1930593184 -0.982472297  -0.42215325196
## 849      bad -1.6376925175 -0.0740518645 -0.683526802  -0.51271389464
## 850      bad -1.6135692582  0.0643602704 -0.746718921  -0.55454931218
## 851      bad  0.8383283727  0.8379497326 -0.838069136   0.32871247586
## 852      bad  0.8383283727  0.8379497326 -0.838069136   0.32871247586
## 853      bad  1.3424325811 -1.9134377887  1.619726377  -1.06443584307
## 854     good  0.1138528986 -0.5347678774  1.981316075   0.00051113266
## 855     good  0.1138528986 -0.5347678774  1.981316075   0.00051113266
## 856     good -2.0694525691  0.9852256299 -0.335532851  -0.26792547746
## 857     good  0.1138528986 -0.5347678774  1.981316075   0.00051113266
## 858     good  0.0781816742  0.9358305107  1.569284500  -0.04179742394
## 859     good  1.9813340287  1.2722557034  0.554042268   0.86593129592
## 860     good -1.3404938162  1.0377475575  0.750978359  -0.92091491284
## 861      bad -1.4262102968 -1.4568629804 -0.693688929   0.30228846000
## 862     good -2.5204988910 -0.2613545497  0.951888912   0.22456889272
## 863      bad -0.2362628364  0.9965797819 -0.446449673   0.89367392637
## 864      bad -1.4856381662 -1.4320351597 -0.565823398   0.29795501226
## 865      bad -1.4262102968 -1.4568629804 -0.693688929   0.30228846000
## 866      bad -1.4525606224 -1.4492124898 -0.590611198   0.30330325218
## 867     good -1.2267239901  1.1943902012  0.951221898  -0.74449277611
## 868     good -1.1761199099  1.2336034450  0.831498829  -0.87583479514
## 869     good -1.3404938162  1.0377475575  0.750978359  -0.92091491284
## 870     good -1.6876496610 -0.4661713484  0.300433777  -0.20486704327
## 871     good -2.4403725399 -0.2031519878  0.901196840   0.17080119468
## 872      bad -2.2862066951 -0.8781497911  0.762386145  -0.29930772267
## 873      bad -0.9810409090 -0.3318164813  0.834160061   0.37778713318
## 874     good  0.4863840013  2.3597529973  0.435703568   0.46166001867
## 875     good  1.6310899129  2.1738407065  0.172787592   0.15693317399
## 876     good  0.7840480431  1.9138762619  0.920730489  -0.41943722314
## 877      bad -1.7760809302  1.2746217322 -0.367385902   0.04829131092
## 878     good -2.4403725399 -0.2031519878  0.901196840   0.17080119468
## 879     good  0.2933908880 -1.8682803881 -0.131580117   0.93753331739
## 880      bad -1.5251891591 -1.5966432424 -0.502132122   0.24693540657
## 881      bad -0.0843722099  0.7782050392 -1.185807647   0.29068910018
## 882     good -2.1788399203 -0.3730422038  0.459067230  -0.07000281628
## 883     good  0.8638678490  1.1314052159  1.232208095  -1.62011201050
## 884      bad -1.5251891591 -1.5966432424 -0.502132122   0.24693540657
## 885     good  0.2933908880 -1.8682803881 -0.131580117   0.93753331739
## 886      bad -0.2467583576  0.0661944690 -1.455934453   0.09633022778
## 887     good -0.2762469851  0.0442030157 -1.728036643   0.05596105490
## 888     good  1.0736712984  0.2591355888  1.737564309   0.41602500439
## 889     good -2.1907976053 -0.9294631078  1.086830459   0.20588041371
## 890      bad  2.5781750541 -3.6451797268 -1.567050511   1.35535815267
## 891      bad -0.9635339420 -0.4581693271  1.093712368   0.20663551332
## 892      bad -1.6319396954 -1.4520545072 -0.659904230   0.08086741664
## 893     good  0.9900930101  0.5945735588 -1.258515767   0.09383994032
## 894      bad -1.6319396954 -1.4520545072 -0.659904230   0.08086741664
## 895     good -1.5874385541 -1.4407289272 -0.477864679   0.02642694993
## 896     good -1.8579646941 -0.5602128053  0.288692690  -0.03631931461
## 897     good -0.0358885314  1.5502840311  2.232788268  -0.09834406295
## 898     good -1.8579646941 -0.5602128053  0.288692690  -0.03631931461
## 899     good -0.0358885314  1.5502840311  2.232788268  -0.09834406295
## 900      bad -1.5030461838 -0.1133984339 -2.575366620   0.69414358306
## 901      bad -0.0445460132  1.5871871595  1.265001659   0.59053825282
## 902     good -1.4960116480 -0.0227806662 -0.325655861  -0.17988252359
## 903     good -1.4960116480 -0.0227806662 -0.325655861  -0.17988252359
## 904     good -1.3139119145 -0.0207668769 -0.293336175   1.15646257487
## 905     good -1.3139119145 -0.0207668769 -0.293336175   1.15646257487
## 906      bad  0.5730783709 -1.7928418398 -0.374938077   0.57556750491
## 907      bad -0.5902039533 -0.1870003251  0.641623914  -0.20363366645
## 908     good -2.8613085572  1.4169779553 -0.299360764  -0.13331374240
## 909     good -1.4755169741 -0.9432478486  1.168611694   0.14471261959
## 910     good -0.9405889574  2.5537386436  0.883949243   0.24121587137
## 911     good  0.9249772244  2.4259589825  0.913916392   0.40450121944
## 912     good  2.5187721457  0.4133566374 -0.024634898   1.97880111769
## 913     good  0.6159549852  2.2279598586  0.196296187   0.97163435787
## 914     good  1.0191453893  1.9508126147  0.543683624   0.86743622744
## 915     good -0.9405889574  2.5537386436  0.883949243   0.24121587137
## 916     good  0.2477249174  2.6107970387  0.690659887   0.09697737254
## 917      bad -2.6185074429  0.1249727248  0.007048468  -1.87827340172
## 918     good  0.5453972996 -1.8630591132  0.893396892   1.77432583988
## 919     good  0.2524504255 -0.7020110190  1.859819268   0.04067381329
## 920     good -1.0499103951 -0.3824393659  1.782120390  -0.72813295574
## 921      bad  1.0335398033  0.9404858789 -0.522830206   0.52789508625
## 922     good  0.2524504255 -0.7020110190  1.859819268   0.04067381329
## 923     good -1.0499103951 -0.3824393659  1.782120390  -0.72813295574
## 924     good  0.5453972996 -1.8630591132  0.893396892   1.77432583988
## 925      bad  0.1363671106  1.1808653082  0.727057503  -0.09055657466
## 926     good  0.0653092792 -1.2578484087  3.475295299  -0.12488539432
## 927     good  0.7298473824 -1.7190692696  2.654780756   0.07848568237
## 928      bad  0.1439260476 -1.0122948779 -1.222861120  -0.10808094840
## 929      bad  0.1363671106  1.1808653082  0.727057503  -0.09055657466
## 930     good  0.1331766935  1.9505291458  1.379804057   0.43204704436
## 931      bad -2.1339230114  0.4054544923 -0.802126866  -0.63740981984
## 932      bad -1.3733506754 -0.2794791923 -1.031355580  -0.20963199074
## 933     good -0.4469897279 -1.0634279740  0.565108210   0.16119402900
## 934      bad -1.3733506754 -0.2794791923 -1.031355580  -0.20963199074
## 935      bad -2.1339230114  0.4054544923 -0.802126866  -0.63740981984
## 936     good -0.0006385448  0.6745079478  2.064523523   0.41081272952
## 937     good -0.0006385448  0.6745079478  2.064523523   0.41081272952
## 938      bad  2.1181114655  1.2111830893 -1.297255165   0.69102183005
## 939     good -0.8709115498  1.2836738698  2.670852258   0.12059973927
## 940      bad -2.5480099542  1.7912289914  0.244030691  -0.13599884169
## 941     good  0.5648128008  2.1414948996  1.743781167   0.16780762667
## 942     good  1.0679246591  2.0200721597  1.409111386   1.58778286872
## 943     good  1.5899546566  0.0325031937 -0.327925141   0.43195833965
## 944     good  1.2334433723  0.0237350708 -1.018236028   0.33341583340
## 945     good  0.5046874206  1.7203150962  1.521470322   0.52776671438
## 946     good  1.2571827796  1.8365027777  0.288703419  -0.08222504978
## 947     good  2.0792416335  1.3666387400  1.260224546  -0.11574114107
## 948     good  0.1329178189  2.7311857354  1.366523385   0.02306603724
## 949     good  0.4530389182  2.4189623600  1.762744467  -0.01339412428
## 950     good  0.4530389182  2.4189623600  1.762744467  -0.01339412428
## 951     good  0.4530389182  2.4189623600  1.762744467  -0.01339412428
## 952     good  0.1329178189  2.7311857354  1.366523385   0.02306603724
## 953     good  0.0651340999  2.1597110664  0.613595732   0.27078595343
## 954     good  0.8107129267  2.8371762344  0.962035751   0.60308021250
## 955     good -0.7745710086  2.0713273176  0.609547611   0.50695223518
## 956      bad  0.8437243245  1.5777728347  0.603277964  -0.05719368124
## 957     good  0.7114707118  2.1122370052  0.313359291  -0.14159354047
## 958     good  0.8447671694  1.0306252210  0.736879963   0.43946563286
## 959     good -1.6683654481 -0.1122416297  0.848239400  -1.03796543848
## 960      bad -0.7810361720  0.0111827168 -1.102990807  -0.19020509312
## 961     good  0.2169593784  0.8459938990  0.988688965  -0.39740988412
## 962      bad -0.8188084292  0.5993369027 -1.273262901  -0.49174294333
## 963      bad -1.1410638547  0.3360613780 -1.373380424  -1.15333727825
## 964     good  0.8854650000  1.1730176500  1.241655564  -0.23493914874
## 965     good  0.2169593784  0.8459938990  0.988688965  -0.39740988412
## 966     good  0.3022742374  0.4615886547  1.829515795  -0.25111847534
## 967     good  0.8801810210  2.0858302192  0.274487508   0.22911685631
## 968      bad  0.2374852901 -2.2407305859 -0.545614547   0.27341665274
## 969     good  0.1230599105  0.7537731105  2.117616238   0.66767625740
## 970      bad -1.3964723164  0.4321049725 -0.860868542  -0.01956308413
## 971     good  1.5866049448  2.1710155150  0.494739618  -0.05452652077
## 972     good  1.5866049448  2.1710155150  0.494739618  -0.05452652077
## 973     good  1.3684382856  2.0253062611  0.280464555   0.17625818175
## 974      bad -0.2214779996  1.8728698913  0.159003092   0.06019466731
## 975     good  0.7830179587  1.4749517259  0.916272874   1.52919899818
## 976      bad -0.6043311386 -1.5880934099  0.744245955   0.32802991072
## 977      bad -0.6043311386 -1.5880934099  0.744245955   0.32802991072
## 978      bad  0.7243532532 -2.8171898640  0.020630940   0.31663970201
## 979     good -0.8696541856  1.2711624875  0.713339819   0.91763894460
## 980      bad  2.0654286326  2.1024456553 -0.944911564   0.51316113230
## 981     good  0.4130091449  1.1216706667 -0.618529342   0.14474786719
## 982      bad -0.0026164093 -0.0381765143 -1.599895345   0.03277072869
## 983     good -1.0392038117 -0.7569417140  3.660334511  -0.28748860917
## 984     good  0.4130091449  1.1216706667 -0.618529342   0.14474786719
## 985      bad  2.0654286326  2.1024456553 -0.944911564   0.51316113230
## 986     good -1.9649983508  1.3118232385 -0.587988355   0.11447243321
## 987     good  0.4074557373  2.6664201717  0.134677076   0.50553190275
## 988      bad -0.6759148479 -1.3728888665  0.806913446   0.30357432897
## 989      bad -0.2863638456  0.0660783514 -0.581702521  -0.09394947762
## 990     good  0.7950246409  1.6188872424  0.388192635   0.65507795891
## 991      bad -0.2863638456  0.0660783514 -0.581702521  -0.09394947762
## 992      bad -0.6889745007 -1.2163353274  0.642865701   0.42910837885
## 993     good -1.4422301438 -0.8780978552  0.297160206   0.17718019639
## 994      bad -0.6889745007 -1.2163353274  0.642865701   0.42910837885
## 995      bad  1.9162762057 -1.1245406516 -0.215218138   1.20459290902
## 996     good -1.0788223830 -0.3992752446 -0.559597272  -0.10539080201
## 997     good -3.6508563635  1.9312630413  0.317569178  -0.60177527848
## 998     good -3.6508563635  1.9312630413  0.317569178  -0.60177527848
## 999     good -0.1852979109  0.8020227249 -2.327838926   0.41949798340
## 1000    good -3.6051215740  2.2209062480  0.560096845  -0.05342029761
## 1001    good -0.9397047159  1.9685741840  0.572052177  -0.10004921450
## 1002    good  1.0092364511  0.1002001288  1.400872628   0.03149974602
## 1003    good  0.4493997617  1.8117903229  1.450085265  -0.17603781514
## 1004    good -1.6153190699  2.9791113543  1.313152097   0.15836539934
## 1005     bad -0.1567545890 -0.1412597108  0.520895817   0.22528668020
## 1006    good -1.6153190699  2.9791113543  1.313152097   0.15836539934
## 1007    good  0.4493997617  1.8117903229  1.450085265  -0.17603781514
## 1008    good  0.4612273395  1.8944530005  1.371031361  -0.21001007944
## 1009    good  0.7755577952  1.4537558695  1.178786252   0.05605832181
## 1010     bad  1.1878309015 -0.4668145661  0.662629906  -0.04206810877
## 1011    good -0.1064233368  2.8712874361  1.284180273   0.52223744153
## 1012    good  0.5021854794  1.2577853589  0.007558821   0.23767267815
## 1013     bad -1.1993248862 -0.4392515800 -2.089643569  -0.23556459413
## 1014    good -1.5729317663 -0.5334266786 -0.927285416  -0.43157322836
## 1015    good -0.7143899278  1.6714778937 -0.684469263  -0.67164803214
## 1016    good  1.8569440847  1.5311048261  0.932038517  -0.07202175625
## 1017    good  0.1662851728  2.0454649413  1.600839671   0.12039457965
## 1018    good -0.5158032245  0.5789512031  4.102811548   0.75463273388
## 1019    good -0.5158032245  0.5789512031  4.102811548   0.75463273388
## 1020     bad -1.5305735079  0.7433185191 -0.440525435  -0.20217299452
## 1021    good  2.0564703173  2.5151707918  0.161085553   0.54484583516
## 1022    good  2.0564703173  2.5151707918  0.161085553   0.54484583516
## 1023     bad -1.4018563833  1.3113050677 -0.902129640   0.22560052025
## 1024    good  0.0474004970  2.5881094060  0.719828517   0.24112418284
## 1025    good -1.3434856892  0.6389697515 -0.831478869  -0.23067755399
## 1026    good -0.7400140317 -0.9309988213 -1.458176314   0.07973834934
## 1027    good -1.1786805220  1.9574386330  1.850261221   0.46059489868
## 1028     bad -3.1673972353 -0.5429390795  0.596722919   0.11725773541
## 1029    good -0.8291878973 -1.4258759757  1.582671684   0.47011403161
## 1030    good -1.3434856892  0.6389697515 -0.831478869  -0.23067755399
## 1031    good -2.0693199544  1.1817838582 -0.365769101  -0.22248898314
## 1032    good -1.6079546499  1.0942945411 -0.527500780  -0.41347684209
## 1033     bad -0.7452891991 -0.4533480784 -2.596274701   0.44759541159
## 1034    good -0.9721179817  0.2262213282 -0.526185901  -0.09621299407
## 1035    good -0.1323453435 -0.6891406885 -1.488748533   0.66485711962
## 1036    good  1.2536645651  1.5458886315 -0.387605304   0.30552347791
## 1037    good -0.5467211896  1.2045778999  2.338312780   0.28922960262
## 1038     bad -1.4741802592 -1.4306871183 -1.545314576  -0.17300635702
## 1039    good  0.7246510092  0.2617912946  2.432435468   1.04471450483
## 1040    good  0.1562830487  0.2345371818  0.624993309  -0.48408379307
## 1041     bad -2.0820949410 -0.8232595212 -1.651619150  -0.51864352482
## 1042    good -1.0940532504  0.5140917900 -0.316237409  -0.46777690551
## 1043    good  0.1562830487  0.2345371818  0.624993309  -0.48408379307
## 1044    good  2.0225003397 -0.7703617516  1.062906589   1.94854814319
## 1045    good -1.4851746237  1.3009791581  2.021237226   0.58757940950
## 1046    good -1.9222880010  0.0924467438  1.252098154  -0.10723958175
## 1047    good -1.5942850527 -1.0919285267 -0.092478416  -0.20855717809
## 1048     bad -1.2060379166 -0.4405967805  0.766591376  -0.20264140503
## 1049    good  0.7409166582  1.7339008966 -0.411227626  -0.35275107482
## 1050    good  0.7437478254  1.4496546848 -0.347051675  -0.33466170485
## 1051     bad -1.2060379166 -0.4405967805  0.766591376  -0.20264140503
## 1052     bad  4.2162276498 -0.7377005138  0.244240605  -7.07811069437
## 1053     bad -3.4968403938  1.2057335852  1.423567812  -0.06795586790
## 1054    good -0.2841906742  2.4700832927  1.821408479  -0.05760438142
## 1055    good  0.6040498059 -0.6644878454 -1.320779917  -0.29318238224
## 1056    good  0.6040498059 -0.6644878454 -1.320779917  -0.29318238224
## 1057    good  0.8997341230  1.9577636015  0.340178889   0.63537791403
## 1058     bad  0.7972954214 -2.1873602251  0.297636475   0.39811573479
## 1059    good  1.5575547700 -0.0393064729  1.441081158   0.11259191131
## 1060    good  0.8997341230  1.9577636015  0.340178889   0.63537791403
## 1061    good  2.7951299384  2.0411948251 -0.518917749   0.51205969627
## 1062    good  0.4593969268  2.6091355016  1.178875890   0.15693304602
## 1063    good  0.1638407106  1.9505599006  0.425189471  -0.23553497390
## 1064    good  1.5322471535  2.4732759785  0.974828920   0.72078726725
## 1065    good -1.6056656004  1.6577098590 -0.634509916   0.08678818494
## 1066    good -0.6127640740  0.7099971949 -1.061658549  -0.07585563493
## 1067    good -2.0731462052  1.4857016101  1.236996241  -0.37762284575
## 1068    good  2.3549073368  2.4786339513  0.382090316   0.16974085980
## 1069    good  2.3549073368  2.4786339513  0.382090316   0.16974085980
## 1070     bad -0.0805716229 -0.7402475648  0.518562775   0.28611551890
## 1071    good  0.9652212690  1.3332782410  1.617820963  -0.39327683697
## 1072     bad  0.6744580243 -3.7918798090 -0.335310693   1.49610995036
## 1073    good -0.4945297161 -1.3469643229  0.936224335   0.05068889883
## 1074    good -0.1035886412  0.0361726664 -0.302145283   0.29451838306
## 1075     bad  0.6744580243 -3.7918798090 -0.335310693   1.49610995036
## 1076    good  0.6821935466 -1.2581999435  2.229429162  -0.10418234676
## 1077    good  1.4669131406  2.6432359510  0.592141357   0.13067686258
## 1078     bad  1.8161800514  1.1493379196  0.083022693   1.74439398468
## 1079     bad  1.8161800514  1.1493379196  0.083022693   1.74439398468
## 1080    good  1.3705473838 -4.3177149806  5.863529534   2.95653057057
## 1081    good  0.9483637811  3.1167123534  0.628288408   1.11768097822
## 1082    good  1.3784306740 -4.5081480178  5.971343018   2.96809295136
## 1083    good -0.5130708359 -1.1504881105  0.813446284   0.15434924329
## 1084    good  0.3640339410  0.0627820452  2.260490530   0.19766050854
## 1085    good -0.5130708359 -1.1504881105  0.813446284   0.15434924329
## 1086     bad -0.9418345631 -1.6218041703  0.676761763   0.16966227351
## 1087    good  0.5178170446  1.7117796533  0.377175838   1.28640189705
## 1088    good -0.1192679699  1.6954216862  1.860878306   0.06004021994
## 1089    good  2.7752052933  0.3404560344  0.220350419  -0.10962444209
## 1090    good  2.7752052933  0.3404560344  0.220350419  -0.10962444209
## 1091    good  1.5977745444 -0.1105252366  3.027598236   0.51581871964
## 1092    good -0.1350369366  1.8473437219  0.638114763   0.08786431017
## 1093    good -1.8640150455  1.3089348677  0.036040924  -0.19363569250
## 1094    good  0.6250735791  1.7480564214  1.380145693  -0.28772289266
## 1095    good -1.1667348255 -0.2475357504 -1.071918494   0.49026402188
## 1096     bad  1.3833459029  1.2513269875 -0.639904972   0.81623372178
## 1097    good -1.1667348255 -0.2475357504 -1.071918494   0.49026402188
## 1098     bad  0.5048807336  0.9293799456 -1.389862191  -0.06483489460
## 1099    good  0.9676095272  2.3806330537  1.438404782  -2.43787691536
## 1100     bad  0.5048807336  0.9293799456 -1.389862191  -0.06483489460
## 1101    good  0.4238493295  1.4763366839  2.345481940  -0.15988110639
## 1102    good -1.2578790406  1.5174636468  1.053369383  -0.01012206840
## 1103    good -2.3571250047  0.7507524542  0.630482316  -0.21731948750
## 1104    good -1.2578790406  1.5174636468  1.053369383  -0.01012206840
## 1105    good -0.7561956706  1.6909548099  1.457528012   0.02916967102
## 1106     bad -2.0606272685  1.3365452165  1.534090745   0.33797605253
## 1107    good -0.1361446284  2.6229091333  1.493176192   0.52974839030
## 1108    good  0.6526547323  2.0450397719  1.364659565  -0.27324733018
## 1109     bad -0.6013034462 -0.1238308388 -2.583959077   0.47949222018
## 1110    good  2.2705329537 -0.7068704844  0.637030910  -0.97100023767
## 1111    good -0.8178192052  1.0523079930 -1.199336406  -0.30965013339
## 1112    good -2.7170083534  0.4795260035  2.146338385  -0.40852378474
## 1113    good -0.2578831168  1.9346281540  1.000386214  -0.15437536393
## 1114    good  1.2823604321  1.6883475750 -0.732733008   0.23498740661
## 1115    good -2.4577856304  0.6838292469  4.562744148   0.61176021541
## 1116    good -1.6558545214  0.4198629735 -0.352829846  -0.22188153600
## 1117    good -1.6558545214  0.4198629735 -0.352829846  -0.22188153600
## 1118    good -1.6558545214  0.4198629735 -0.352829846  -0.22188153600
## 1119    good -2.0180357789  2.1906997608  1.780292409   0.36419706427
## 1120     bad -3.5235965067  1.8581979104  0.693395874  -0.14785458229
## 1121    good -0.8207138803  2.4815686560  1.526529854  -0.24759622657
## 1122    good -2.7099348979  1.0631662335  1.166199579   0.11355403146
## 1123    good -3.2496795281  0.9556723194  1.668039093   0.21645853209
## 1124    good  1.4103971729  1.1041808390  0.375728854   0.42987356631
## 1125     bad -2.4949080705  1.3573492873 -0.490167713  -0.52635184793
## 1126    good  0.1764756591  1.9336734446  1.196551585   0.48615429472
## 1127    good -2.4149244741  3.4164481129  2.013538220   0.05535553761
## 1128    good -2.9672855315 -0.5750748681  0.739746771  -0.07285800803
## 1129     bad  1.4636996652 -1.4326953860  0.627615424   0.35108740810
## 1130    good  1.6023043619 -0.7305845441  0.624960360   0.57541827178
## 1131    good -0.1752010446  0.9819360487 -1.635989102   0.29897220992
## 1132     bad -1.6709102997 -2.9089924216  3.356395990   0.74339618342
## 1133    good -0.9540611058  2.1011528307  2.963797563  -0.71179361500
## 1134    good -0.6145483318  0.3230935921  0.028746726   0.52651374666
## 1135    good  0.0612159246  2.4323519940  0.996180354  -0.00375636158
## 1136    good -0.4246519111  1.1796118868  2.149931341   0.40383836357
## 1137    good  1.4508338527  1.7328823822 -0.277416609   0.10835917662
## 1138    good  1.4508338527  1.7328823822 -0.277416609   0.10835917662
## 1139     bad  0.5701224680 -2.3358499512  0.282553162   0.27315944476
## 1140    good  0.0274242293 -1.0145932610 -0.202160480   0.03536682195
## 1141    good -0.3660102601 -1.4240359379  0.991665591  -0.13963424001
## 1142    good  0.4560924793 -0.2189764806  1.672982393  -0.38076241243
## 1143    good -1.6395363665  1.9017475332  0.424707623   0.13858544369
## 1144    good -0.6665709969  0.9496938094  0.835751054  -0.50072209536
## 1145     bad -0.8175597534 -1.0337299083  1.578175437   0.29524831705
## 1146    good  0.2696369206 -0.1387448843  2.038032821  -0.07984857345
## 1147    good  0.1810606054  0.5905481030 -0.767196339  -2.49221330068
## 1148    good  1.3284913183  1.2515737527  0.213477153   2.19956451530
## 1149    good -0.3225616374  1.7892876415  0.818561845  -0.13067863358
## 1150    good  0.6934025275  2.4762212719  0.432863835   1.07981670974
## 1151    good -0.1997322016  2.6620823497  1.378102895   0.11934153638
## 1152    good -2.3056415062  0.6214994824  1.835317949   0.26774473917
## 1153     bad  0.1859398140  0.1505130824 -1.097014957  -0.31541765534
## 1154    good  0.6667852317  0.8129297883  0.584273209   0.21251993451
## 1155    good -2.4208052850 -1.8276232712  1.978514490  -0.54081221928
## 1156     bad  0.1859398140  0.1505130824 -1.097014957  -0.31541765534
## 1157    good  0.4864959579 -0.5059938997  3.785509220   0.15204316682
## 1158    good -2.6024972836  0.5056614440  3.041197402  -0.67118027391
## 1159    good  0.2159213758  0.0542252316  2.103233520  -1.53493310283
## 1160     bad  1.6583614445  0.9017255044  0.030287932  -0.02369316121
## 1161    good  2.0700022370  1.8908351454  0.280890617   0.24483620267
## 1162    good  0.6260656600  1.2578573066  0.125497938  -0.46008969019
## 1163    good  0.5049000296  2.0135152768  1.334273270   0.00715623135
## 1164     bad -0.1945416101  0.3739696219 -1.471076410  -0.24682468138
## 1165     bad -0.1945416101  0.3739696219 -1.471076410  -0.24682468138
## 1166     bad  3.4251623670 -0.4574405881  0.006293072  -5.60880748057
## 1167     bad  2.1034272622  0.2686030373 -0.239925861  -1.34860899663
## 1168    good  0.1796100458  0.7145238433  2.735806935  -0.27312801450
## 1169    good -0.9331316032  1.5293376187  1.331785451   0.39438728107
## 1170    good -0.6929864871  1.7537279638  0.092928531  -0.10862482321
## 1171    good  0.7444073910  1.8041025527 -0.331265039   0.20949874896
## 1172    good -1.8229420646 -0.4175849537  0.501616320  -0.38104666865
## 1173    good  0.8719045769  2.3207669659  0.651538844   0.22841387403
## 1174    good -0.3254967501 -0.7875874214  0.583452259   0.01471024130
## 1175    good -0.3254967501 -0.7875874214  0.583452259   0.01471024130
## 1176    good -2.5524390270 -1.6533480273  1.888990274  -0.56479980221
## 1177     bad -2.5873923623 -1.4052212582 -0.149291892   0.98065326087
## 1178    good -2.4263034856  2.0109870516  0.396007475  -0.01643997224
## 1179     bad -3.8985619000 -0.5878193478  0.582344255  -0.47667100733
## 1180    good  0.4095080107  0.9425929075  0.972013806  -0.30573509003
## 1181    good  0.4095080107  0.9425929075  0.972013806  -0.30573509003
## 1182     bad  0.3546933433  2.3689997597  0.030249540   0.84999520123
## 1183    good  1.0841936754 -0.9076611722  1.735697984   0.16261059645
## 1184     bad -1.3667007237 -0.7694693846 -0.772416882  -0.36105011901
## 1185     bad -1.1283392301 -0.8659873905  0.820793555  -0.44063885404
## 1186    good -1.3926637112  1.7121928862  0.786779660   0.23431211616
## 1187     bad -2.0053672700  0.0332056516 -0.521178859   1.67006895770
## 1188    good -1.3926637112  1.7121928862  0.786779660   0.23431211616
## 1189     bad -1.1283392301 -0.8659873905  0.820793555  -0.44063885404
## 1190     bad -1.3915018576  0.1201695600 -2.744447552   0.25194639368
## 1191    good  0.9902707793  1.8101181631  0.933074480   1.36582667343
## 1192     bad -2.5117574729  0.2515689978 -1.777031453  -1.34359201918
## 1193    good -0.9039994711  1.8815745436  2.300858555  -0.12185505507
## 1194     bad -2.5398612722  0.2452222646 -1.769949618  -1.35678011037
## 1195    good -0.8832304488 -0.9746657479 -1.005704142  -0.85420113915
## 1196    good -1.3826877721 -0.5732240476  0.251034872  -0.23743038726
## 1197    good -0.0549877257 -1.5906482747  0.016195403   0.23987237558
## 1198    good -0.6799679824  1.3614049080 -1.167189529  -0.11875988539
## 1199    good  0.2028474917  0.3097376664  1.826127269  -0.09344458467
## 1200    good -0.0549877257 -1.5906482747  0.016195403   0.23987237558
## 1201    good -0.6799679824  1.3614049080 -1.167189529  -0.11875988539
## 1202    good -0.4825220856  2.2639307777  0.398257186   0.36493982344
## 1203    good -0.1820473112  2.2259402450  0.556476266   0.03306531005
## 1204     bad  1.2404204924 -2.9828741204 -0.625043818   1.13131146273
## 1205    good -0.1107334743  0.5265772044  1.893901006  -0.57598496171
## 1206    good -0.1107334743  0.5265772044  1.893901006  -0.57598496171
## 1207    good -0.1107334743  0.5265772044  1.893901006  -0.57598496171
## 1208     bad  1.4603896002 -0.6510854628  0.131625656  -1.52371352264
## 1209    good -0.1107334743  0.5265772044  1.893901006  -0.57598496171
## 1210    good -0.8634575564  1.4655412217  1.575949235  -0.91879282541
## 1211    good -1.8034550429  0.7664347497 -0.891892217  -0.44553625547
## 1212     bad -0.9477134204 -0.6478821337  0.131904782  -0.26006909721
## 1213    good -1.8034550429  0.7664347497 -0.891892217  -0.44553625547
## 1214    good  1.3328778439  1.7874007303 -0.170641535  -0.02958405298
## 1215    good  1.4028652574  1.8665970199 -0.509400128   0.78241700849
## 1216    good  0.4104447487  1.2638054087  1.338825163   0.27593403196
## 1217    good  0.0769227568 -0.5345226115 -0.340592475  -0.27860676078
## 1218    good -0.1034668608 -0.2926704958  3.394542341  -0.04963357797
## 1219    good  0.2222529396  1.3018488622  0.037654727  -0.24542102474
## 1220    good  0.4277499738  0.6811122921  1.667555147  -0.15585603158
## 1221    good  1.9718987973  1.0098668020  1.068449208  -0.47606819498
## 1222    good  1.9718987973  1.0098668020  1.068449208  -0.47606819498
## 1223    good -0.3368289821 -1.8830039520  0.344492144   0.66111443558
## 1224    good  1.3531456794  2.0456538400  0.902684620   0.30435661735
## 1225    good  3.3222142256  1.2279174572 -0.577139213   0.43021641689
## 1226     bad  1.1491837228 -1.2303869287 -0.759833551   0.72530866088
## 1227     bad -0.2700639859 -1.5057163607 -0.601712905   0.72260373328
## 1228     bad  0.5899207062  0.4267348454 -1.295537049  -0.58702513145
## 1229    good -4.0230494742  0.9978635048  3.286287582  -0.35395547928
## 1230     bad -0.2147655604 -0.6443239693  0.149540812   0.04536500227
## 1231    good -0.1829115511  1.2049767814  2.333424146   0.02884539152
## 1232     bad -1.6868680167 -2.7860164937  0.996435215   0.20397449803
## 1233     bad -0.2147655604 -0.6443239693  0.149540812   0.04536500227
## 1234     bad  0.9690916671  0.7226752979 -0.103469008   1.10216389348
## 1235    good -3.1798981951  1.6014499943  0.194021898   0.61129434948
## 1236     bad  0.2943574083 -1.8703423173  2.273673121   3.39065307840
## 1237    good -0.7816017377  0.5313936190 -1.502569123  -0.30529617771
## 1238    good -3.1798981951  1.6014499943  0.194021898   0.61129434948
## 1239     bad -1.1457717714 -0.4262377383 -2.080056080   0.47825026051
## 1240     bad -2.3752546738  0.6108382303  0.001924781   0.74332066410
## 1241     bad -0.7367160859 -1.4893003594  0.007009627   0.40321197830
## 1242     bad  1.3503361782 -0.7545306678  0.587626696   0.68945296905
## 1243    good -0.0573184075  1.6570040574  1.487592641   0.61642628496
## 1244     bad  0.0414066576 -0.9800598657 -0.722778926   0.18343278919
## 1245    good  0.3946813448 -6.6862945201  4.651730221   3.70478220360
## 1246     bad -1.1140315717  0.3123637532 -0.117701539  -0.37476836314
## 1247     bad -1.1381319122 -0.3285911531 -1.034743125  -0.13371354224
## 1248     bad -1.1140315717  0.3123637532 -0.117701539  -0.37476836314
## 1249    good -0.8024693463  0.5929464836  1.425461845  -0.48395908993
## 1250    good -1.8665899419 -0.1967103957  0.278947991  -0.15370859832
## 1251    good -1.8665899419 -0.1967103957  0.278947991  -0.15370859832
## 1252     bad -0.7593321936 -1.1005976991  0.032026058   0.04258139402
## 1253     bad -1.6893591896  0.3039675005 -1.841226578  -0.98772448019
## 1254     bad -1.5813226087  0.5902355427 -1.768629517  -0.66891042443
## 1255     bad -1.3597103372 -0.0820221676 -0.245714362  -0.36420337850
## 1256     bad -2.9778562236 -0.3648338151  0.544963775   0.27554439255
## 1257     bad -0.5994819652 -1.8628567310  0.343829686   0.31899399298
## 1258    good -0.2800348676 -0.5157085895  0.605263384   0.33881432179
## 1259    good -1.8370623408  0.1285106671 -0.096631034  -0.76966228547
## 1260    good -1.8370623408  0.1285106671 -0.096631034  -0.76966228547
## 1261     bad  3.8135716975 -1.2290241076  0.041239755  -6.25591664885
## 1262     bad -3.4918466765 -0.1036422894 -0.932834358  -0.46438272131
## 1263     bad  1.2167260124 -1.2014117854  0.611329819   0.67729323519
## 1264     bad -1.1906258905 -0.5249447902 -2.160899535   0.26620742885
## 1265    good -0.5388651812  0.7068268857  2.022355088   0.02516650220
## 1266    good -1.4563879281  0.0100110627 -0.324826055  -0.16419671378
## 1267    good -1.4563879281  0.0100110627 -0.324826055  -0.16419671378
## 1268    good  1.7808295455  1.6872589859  0.849955336  -0.06825392760
## 1269    good -0.7797767438 -0.4353595457  0.161128108   0.12749462729
## 1270    good -3.5313343973  0.7334976333  3.915455435  -0.60150364231
## 1271    good -4.2480288975  1.4175565209  3.785988754  -0.53720129933
## 1272    good -1.7625287765  0.4566050733  1.747658819   0.35821423097
## 1273     bad -2.7907962427  0.0937878577  1.058038487  -0.14267369657
## 1274     bad -0.6407439226 -1.1098585644 -0.079436644   0.41558869987
## 1275    good -1.0982092152  0.4886973875  0.143826241  -0.19023669670
## 1276    good -0.3481681690 -1.0928382816 -0.936141510   0.28089950644
## 1277     bad  0.3197711270  1.6493237575  0.644417123   1.96418110395
## 1278    good -1.3580298383  0.5306382541 -1.960828052  -0.92113641046
## 1279    good -0.3481681690 -1.0928382816 -0.936141510   0.28089950644
## 1280    good  0.6562404087  2.6783695517  0.324849669   0.61570061595
## 1281    good -1.0022668087 -0.4710875272  0.903334497  -0.17047346415
## 1282    good -1.0022668087 -0.4710875272  0.903334497  -0.17047346415
## 1283    good -1.3337539817  0.5198388261 -1.097018181  -0.48546206808
## 1284    good  0.3124952899 -0.7872322591 -0.281706431   0.07850048576
## 1285     bad -1.3653578902  0.5870230806  0.700445788   0.20018762963
## 1286     bad  1.9613537555  0.4747452557  0.303735022   0.68874757411
## 1287    good -0.7731999967  2.0179278633  2.464437224   0.61503269392
## 1288     bad -2.0020113895  2.4776525834  0.088185000   1.08497336914
## 1289     bad  1.0388964136 -2.0547138314  1.230839913  -0.78398327101
## 1290     bad  1.0388964136 -2.0547138314  1.230839913  -0.78398327101
## 1291     bad -1.7498644627  0.9648433925 -1.189730007  -0.57583707946
## 1292    good -0.6518071239 -0.6179770457  0.454359416  -0.27002581852
## 1293    good -2.7270150849  1.5706502405  1.698225785  -0.02988058004
## 1294     bad -1.5021698897  0.3065345061 -2.207902379  -0.05410600665
## 1295    good -0.6518071239 -0.6179770457  0.454359416  -0.27002581852
## 1296     bad -1.2850885782 -3.3276033744  0.809130248   0.64387940278
## 1297     bad -1.2850885782 -3.3276033744  0.809130248   0.64387940278
## 1298    good -1.8843920755  1.3579810955  1.029951807   0.01667732895
## 1299    good -3.4463585007  1.7554389676  0.705058374  -0.41386261859
## 1300     bad -3.4338022796 -0.4075798769 -3.654173060  -0.85657420574
## 1301    good -3.8666899097  0.8792307417  0.794172378  -0.40089311932
## 1302    good -2.3816811160 -0.5265135291  0.189061473  -0.91703519392
## 1303    good  0.3590796173  2.0519444695  0.371785100  -0.13727611367
## 1304     bad -0.0721092193  0.1815546160  2.196908171   0.02902452340
## 1305     bad -0.6268346437 -1.4015092286 -1.026507114   0.20082749513
## 1306     bad -0.7128922874 -1.3120115003  0.181935686   0.25135611018
## 1307     bad  0.5788587051 -1.4563774276 -0.182515271   0.37806926475
## 1308     bad -1.8832054282  0.0696968590 -0.188010591   0.66185379372
## 1309     bad  0.5788587051 -1.4563774276 -0.182515271   0.37806926475
## 1310     bad -1.1265872415 -1.2794706365 -0.276949058  -0.34227397263
## 1311     bad -0.7128922874 -1.3120115003  0.181935686   0.25135611018
## 1312    good -2.0438281189  1.6512415803  1.392675396   0.27488437933
## 1313     bad -1.8464413894 -0.5835924994 -1.867874157   0.01524969684
## 1314    good -0.9565888478 -0.3489541456  0.681793999   0.11062280915
## 1315    good -0.9757068117 -0.6336299825  0.879239484   0.18856619986
## 1316    good -0.4402844475 -1.0860702751 -0.065735093  -0.05425070109
## 1317    good -5.2735227320  0.9071157448  1.154102961  -0.19381131521
## 1318    good  1.1925632588  1.4131835602  0.737386755   0.18312406102
## 1319    good -0.4402844475 -1.0860702751 -0.065735093  -0.05425070109
## 1320    good  4.4979236037 -1.5460551335 -0.171868868  -7.01534867437
## 1321     bad  0.8913743409 -0.8872513083 -0.482584677   0.17100605627
## 1322    good -5.3859379293  0.8817288120  1.182430302  -0.24656367995
## 1323     bad  0.1396590314  2.2052943415  0.755500567   0.60861865487
## 1324    good  0.6808666792  0.7025938086  1.602855417  -0.17999053614
## 1325    good -1.3229375613  0.5722582403  0.533874326  -0.24299591787
## 1326    good -1.3229375613  0.5722582403  0.533874326  -0.24299591787
## 1327    good -1.3229375613  0.5722582403  0.533874326  -0.24299591787
## 1328    good -1.3229375613  0.5722582403  0.533874326  -0.24299591787
## 1329     bad -1.4438833175 -0.0376149437 -0.764244830  -0.10794288934
## 1330    good -0.5557270531 -1.0791791948 -0.010112523   0.03388696556
## 1331    good -0.5557270531 -1.0791791948 -0.010112523   0.03388696556
## 1332     bad -0.4696815623 -2.4464161222 -0.838562936   0.41393488200
## 1333    good -0.1434018196  0.9540455803 -1.130436607   0.45920556479
## 1334     bad  0.1361393634 -0.5449444252 -1.701261166   0.45166036059
## 1335     bad -1.5716959834  0.1953208497 -2.317753062  -1.39361396695
## 1336    good -2.2901653658  0.8009405583  1.283663782  -0.14191986854
## 1337     bad -2.3407175525  0.2950508213 -0.682392807   0.06311730152
## 1338     bad -2.3407175525  0.2950508213 -0.682392807   0.06311730152
## 1339     bad -2.3407175525  0.2950508213 -0.682392807   0.06311730152
## 1340    good -1.5102855614  0.5302309082 -0.424282049  -0.13586303055
## 1341    good -1.5102855614  0.5302309082 -0.424282049  -0.13586303055
## 1342    good -1.5102855614  0.5302309082 -0.424282049  -0.13586303055
## 1343    good -1.4854102377  0.1845430335 -0.526359256   0.00001970743
## 1344    good -1.5102855614  0.5302309082 -0.424282049  -0.13586303055
## 1345     bad  2.2569020918  1.3670954987 -0.613046074   1.29707826631
## 1346    good -0.2338915512  0.8040973667 -0.421902729   0.58201242220
## 1347     bad -2.7638842670  1.4313404824 -0.349276391   0.07111736726
## 1348     bad -1.7228297880  0.4640498608 -1.954020822   0.24877218688
## 1349     bad -1.7228297880  0.4640498608 -1.954020822   0.24877218688
## 1350     bad -1.9709342190 -0.2574310763  0.108218808   0.20964346941
## 1351     bad -0.2422519065 -1.2902717998  0.427591032   0.49915854741
## 1352    good -2.2594679588  0.9854279266  0.211652668   0.24962495239
## 1353     bad -1.3967346976 -0.4857587715 -0.941869111   0.25577397439
## 1354     bad -1.3967346976 -0.4857587715 -0.941869111   0.25577397439
## 1355     bad -1.4991551921  0.4419435563 -1.097114312   0.06254400834
## 1356     bad -1.3112408615  1.1866758750 -0.090514849   0.03364553797
## 1357     bad -1.3463186424  1.2806047590 -0.217035553   0.04476878239
## 1358    good -1.3464121555 -0.5523678276  1.296283946   0.36918550056
## 1359     bad  0.0117604039 -4.2246015739  0.901443035   0.07328209090
## 1360    good  1.9942162503  1.2342004386 -0.945032639   0.09988882140
## 1361     bad  0.4823557454  0.5465292611 -0.414623802   0.08145817370
## 1362     bad -0.8807772879 -0.8035450588 -1.434385833   0.10305451816
## 1363    good  1.9942162503  1.2342004386 -0.945032639   0.09988882140
## 1364     bad -0.7322174119 -0.6406711101 -1.336702147   0.27056107625
## 1365    good -2.1520702102  0.9478416352 -0.109502924  -0.19791576093
## 1366     bad  0.0562929054 -0.1676759214 -1.061692251  -0.59089594419
## 1367     bad -1.2271472992 -0.2197316203 -1.409072386  -0.29659107744
## 1368    good  0.7055913370 -0.6143658972  1.154142575  -1.88705562303
## 1369    good -0.4429682148 -0.9613078223 -0.784490636   0.32858317140
## 1370     bad -2.4526908959  1.3136632096 -1.289440808   0.22641964285
## 1371     bad  3.3962277813 -1.4454673610 -0.760429253  -6.67617166794
## 1372    good  1.0348964987  1.6338283533  0.881397711  -2.13156582870
## 1373     bad  3.3962277813 -1.4454673610 -0.760429253  -6.67617166794
## 1374     bad -0.2716957971 -2.7584739457 -0.157535452   0.49066211759
## 1375     bad -1.3947087885 -0.7655760137 -1.712247468  -3.12864488322
## 1376     bad -0.5943041973 -0.9047694820  0.042514273   0.10450583866
## 1377     bad -0.9009568072  0.3938055659 -1.774230707  -0.14371936935
## 1378    good -2.5502177648 -0.1396140191  1.974709385  -0.23587748709
## 1379    good -0.8246809389  0.5559197730 -0.681016753   0.14527225811
## 1380    good -1.3961813008  0.4183199377 -0.308696611  -0.03741882322
## 1381    good -1.3961813008  0.4183199377 -0.308696611  -0.03741882322
## 1382     bad -2.0732483693  0.2649213014 -2.026358000  -0.03043916402
## 1383     bad -0.6590855259 -1.6739708687  0.307382989   0.42361215837
## 1384     bad -0.6590855259 -1.6739708687  0.307382989   0.42361215837
## 1385     bad -0.8648612664 -1.5548294359 -0.755202613  -0.39590202123
## 1386     bad -0.3945438230 -2.6394138499 -0.474698077   0.95540920312
## 1387     bad -1.0243362070  0.2738144716 -1.474427053  -0.58333043672
## 1388     bad -1.0243362070  0.2738144716 -1.474427053  -0.58333043672
## 1389     bad -0.1337890197 -0.6272898749 -0.268404445   0.66610319234
## 1390     bad -0.9036883689 -2.3360884800  1.035862862   0.06195834104
## 1391    good -3.2493077164  1.2826117836  1.375575551  -0.09271197384
## 1392     bad -0.7894492038  0.8078570235 -0.661301590  -0.03737311439
## 1393     bad -1.4837301863  1.0973887075 -1.406805783  -0.18070813957
## 1394     bad -0.5610009514 -0.3034944970 -0.036882824   0.46563346751
## 1395     bad -1.0270427428 -1.9779575858 -0.103838661   0.78989107789
## 1396    good -0.3630314407  0.6338176233 -2.092447872  -0.51286153860
## 1397     bad -0.3347959415  0.6300244705 -2.039273230  -0.46384325000
## 1398     bad -0.6916598187 -1.1990803841  0.180190371   0.16642395930
## 1399    good -1.5399441741  0.1478932169 -0.644242404  -0.23517686539
## 1400    good -1.8005059097  0.6997346946 -0.408156430  -0.40967196528
## 1401     bad -0.6474162718 -2.8443704880  0.758616938   0.37804686973
## 1402     bad -0.6474162718 -2.8443704880  0.758616938   0.37804686973
## 1403    good -0.1264011949  2.1303694557  1.261047506  -0.03363859979
## 1404    good  0.6557880731  1.7758575073  0.430454556  -1.52776194890
## 1405    good  0.1707566861  0.1886856345 -0.120896596   0.41634063364
## 1406    good  0.0559714824  1.2235559275  1.731903108  -0.57605138678
## 1407    good  1.4233000025  1.0426183191  1.012624906   0.31533742544
## 1408    good -2.1582453922 -1.1205546892  1.925562681  -1.09165483515
## 1409    good  0.2375777310  0.5703790549  3.377454474  -0.41157416522
## 1410    good -2.1582453922 -1.1205546892  1.925562681  -1.09165483515
## 1411    good -3.4547585137  1.1054345886 -1.153149546  -0.13110364765
## 1412    good -0.9528199722  1.1327578201  0.239602071  -0.28873943262
## 1413    good  1.4233000025  1.0426183191  1.012624906   0.31533742544
## 1414     bad  1.4580366017 -0.4713086835  0.178340002  -1.03760405590
## 1415     bad  2.5815682244  1.3547459728 -0.727598549   0.16745695476
## 1416     bad -1.8702910556  0.3824315001 -0.970759728  -1.12167370122
## 1417     bad  2.5815682244  1.3547459728 -0.727598549   0.16745695476
## 1418    good -0.4825113340  1.0854767452  1.996181654  -0.00757808274
## 1419     bad -1.0441771765  1.0351366761 -1.477357473   0.04890176427
## 1420     bad -0.9109256818 -2.5424661512  0.808279996   0.57005920800
## 1421     bad -1.0441771765  1.0351366761 -1.477357473   0.04890176427
## 1422     bad -0.5688723260 -0.6761741766  0.136618142  -0.05667688185
## 1423    good -1.4969738227 -0.9525553611  1.716133062  -0.76389653021
## 1424     bad -1.2460980581 -0.0838995212  0.044500287  -0.45782089167
## 1425    good  0.8571556323  1.1682781493 -0.248147670  -0.21157992252
## 1426    good  0.8571556323  1.1682781493 -0.248147670  -0.21157992252
## 1427    good -0.1308745432  0.7552146395  2.167987836   0.58432340359
## 1428     bad -0.3164205011  1.5038834185  0.198951101   0.28509028391
## 1429     bad -1.3217307733 -0.6677960211  0.254383605  -0.01611395027
## 1430     bad  0.4685956599 -0.1777717021  3.199145478  -0.13228731104
## 1431     bad -0.8152133251  0.3175194965  0.559567932   0.05272447217
## 1432    good -0.2449836197 -0.1541055529  0.225703061   0.36170104085
## 1433    good -2.3231884793  2.1288181987  0.573597571  -0.77628320343
## 1434    good -1.2948001488  0.8312133293  0.172366866  -0.67404757947
## 1435    good  4.6892061608 -6.8077363899  0.970894380   2.21847685837
## 1436    good  4.6892061608 -6.8077363899  0.970894380   2.21847685837
## 1437     bad  2.3434472548 -1.9444477029 -0.313871232  -0.95566473854
## 1438     bad -1.8120340184 -0.5547497094 -0.392515624   0.84688057143
## 1439     bad -2.0224343646  1.1830042465 -1.483454017   0.40502686596
## 1440    good -1.4877941273 -1.5232056067  0.999764694  -0.15679864361
## 1441    good -0.3571418001  1.3467742162  1.174313068  -0.18730006205
## 1442    good -0.0599608098 -2.4777923634 -0.601020455   0.79314394054
## 1443     bad -1.2369280491 -0.3642189640 -0.722674897  -0.71120477379
## 1444     bad -2.1534481272  1.6885989125  0.267931018   0.27935119782
## 1445    good -1.4913359468 -1.5111261376  1.014518301  -0.15297690500
## 1446    good -0.0635026292 -2.4657128943 -0.586266848   0.79696567915
## 1447     bad -1.2369280491 -0.3642189640 -0.722674897  -0.71120477379
## 1448     bad -1.3910351408 -0.8308966593 -0.633339175  -0.74152276886
## 1449     bad -1.3227198611 -1.8019445994  0.498676941  -0.57802713731
## 1450    good -0.3734247018  1.3293611021  1.204488099  -0.20545372765
## 1451    good -0.3571418001  1.3467742162  1.174313068  -0.18730006205
## 1452    good  0.8102833202  1.3958112381  0.493802827  -0.43950567979
## 1453    good -2.1085423088 -0.5314974509  1.868573698  -0.51240683680
## 1454     bad -0.3251825938 -1.5653173314  0.254398253   0.17657273679
## 1455    good  2.7308938355  1.3805485691 -0.505967483   0.90552839900
## 1456    good -2.9693557806  0.6577629450 -1.097968795  -0.36156719340
## 1457    good -2.5892628216 -1.3381271043  1.798787690   0.19714608754
## 1458     bad -0.3251825938 -1.5653173314  0.254398253   0.17657273679
## 1459     bad  0.0098636151  1.6421843514  0.243786908   0.30886373751
## 1460    good -0.1555385574  2.6203699871  1.563745943  -0.18841994388
## 1461    good -1.1960924670 -1.2081989187  1.123364155   0.19942668968
## 1462     bad -2.5810432838  0.3318883554 -1.681184061  -0.20198505004
## 1463    good -1.7556814658  0.1213814351 -0.578159795  -0.12621822091
## 1464    good -1.8467769811  0.1297684495 -0.372611307   0.09051792819
## 1465     bad -1.5574628011 -1.2358038222  0.443666696  -0.29720461764
## 1466     bad -1.5574628011 -1.2358038222  0.443666696  -0.29720461764
## 1467    good -0.1368112793 -0.8819105160  0.664196058   0.24894742822
## 1468     bad -2.5671862185 -0.6170156920 -1.160668456   0.04013778798
## 1469    good -0.1368112793 -0.8819105160  0.664196058   0.24894742822
## 1470     bad -1.6037199010 -1.3330660436 -1.673249211   0.15107054056
## 1471     bad  0.5797231217  0.5731632411 -1.959538625   0.20464080820
## 1472     bad -2.5811277420  1.4035306270  0.345940550   0.56426099633
## 1473    good  0.6147285146  0.5049920382  1.777519176  -0.00078659886
## 1474     bad -2.4556203915  0.5103885109  0.324527413  -0.23534174703
## 1475     bad  4.5594461590 -5.6771169476  0.839077117   1.83524791039
## 1476    good -3.0360079427  1.0069082423  3.365315636  -0.73453149383
## 1477     bad  4.5594461590 -5.6771169476  0.839077117   1.83524791039
## 1478    good -3.0395497622  1.0189877114  3.380069243  -0.73070975523
## 1479     bad -1.1545766694 -0.4615676818 -2.197382075   0.97032104984
## 1480     bad  1.3144229861  1.0761152852  0.422172273   0.15837366466
## 1481     bad -2.9732528888  0.8642507488 -0.884846985  -0.81065680365
## 1482     bad  1.3144229861  1.0761152852  0.422172273   0.15837366466
## 1483     bad  0.2738955204  1.2206516426 -0.974023916  -0.33173514633
## 1484     bad -0.1859145445  2.0987485004  0.287472538   0.48527189315
## 1485     bad -2.4740905573  0.8014184107 -1.518462274  -0.25273422309
## 1486     bad -1.2880899422  0.3162957159 -1.253320139  -0.04957974180
## 1487     bad -1.4277231867  0.6046158025 -0.752004790  -0.15684784078
## 1488     bad -2.2994366213  0.8500228019 -0.283836873  -0.90588494327
## 1489     bad -3.4877456561  1.6590556433  0.034631571  -0.07539180329
## 1490    good -2.0016517136  1.5074702608 -0.163133563  -0.50612430096
## 1491    good -0.9671066548  2.8408949399  1.904473641   0.73401402052
## 1492     bad -3.4877456561  1.6590556433  0.034631571  -0.07539180329
## 1493     bad -3.2643434005  1.7103950961  0.071656928   0.05500916248
## 1494     bad -0.1850186303 -2.2653950152  0.846204901  -0.04526838082
## 1495    good -1.5611512894  0.8397174348  0.515323126  -0.63243828575
## 1496    good -1.2422290457  0.7024797767  0.455756617  -0.96062562715
## 1497     bad -0.1850186303 -2.2653950152  0.846204901  -0.04526838082
## 1498    good -2.3204431296  1.0951880753 -0.559712602   0.02684213900
## 1499    good -2.5959923564  0.4940424189 -1.468016497  -0.12569655629
## 1500    good -2.3204431296  1.0951880753 -0.559712602   0.02684213900
## 1501     bad -1.4976477121  0.5150558057 -1.698868730  -0.30066977816
## 1502     bad -0.0470169618 -1.6998405707 -0.819041211   0.64430164450
## 1503     bad -0.8003947022 -0.5646533603 -0.482651799   0.18971249650
## 1504    good -1.0670181044  1.5360032105  0.408304398  -0.27274674177
## 1505    good  0.2064206766  1.9405632338  0.355260362   0.07229798397
## 1506     bad -2.2967191374  0.5034306312 -1.585236897  -0.58290807202
## 1507    good -2.2910625930  0.7717695094 -1.152547150  -0.44747363917
## 1508    good  0.2064206766  1.9405632338  0.355260362   0.07229798397
## 1509    good  0.8244068759  0.9207069525  0.923360374   0.09349582178
## 1510     bad -0.0051054204  2.3080968063  1.267693186  -0.05285550771
## 1511    good -0.9553237634 -0.4698478339  0.916997066  -0.13218601079
## 1512     bad -1.4713075764 -0.4518279652 -0.934617188  -0.24672668750
## 1513    good -2.4097972658  0.2813754038 -1.052503892  -0.28007809214
## 1514    good -1.9227261606  0.0160894230  0.729095839  -0.50755037876
## 1515    good -0.9023094109 -1.8368306408 -1.076206501   0.09633934070
## 1516    good -0.9040803207 -1.8307909062 -1.068829698   0.09825021001
## 1517     bad -0.4806482284 -0.1096437981  1.782723820  -1.02694971668
## 1518    good -1.5549756753 -0.4836808583  0.976979269  -0.81362600032
## 1519     bad  0.2330035473  1.1090945086 -0.217543814  -0.47369150034
## 1520     bad -1.5594226597 -0.2551013094 -1.006359388  -0.43236407052
## 1521    good -1.5549756753 -0.4836808583  0.976979269  -0.81362600032
## 1522     bad -1.1810615183  0.3717557351 -1.206861146   0.16318331201
## 1523     bad -0.4806482284 -0.1096437981  1.782723820  -1.02694971668
## 1524     bad -1.0217676905 -0.6387393066  1.030855850  -0.04483681730
## 1525    good -1.1581174192 -0.1522917808  0.895816438  -0.81504550648
## 1526     bad -1.2733634284 -0.0232026466 -0.141776298  -0.19535541287
## 1527    good -1.1064426087 -0.1240041209 -0.118102508  -0.19088775567
## 1528    good -1.3206323043  0.7499760888  0.008863330  -0.37526488999
## 1529    good  0.8517232192 -0.0839109003  0.992576834  -0.07624924419
## 1530    good -1.7641091772 -1.7079499009  0.552771686   0.13906732285
## 1531    good -1.7790964684  1.4630178963  0.479699266  -0.27720691492
## 1532     bad -2.1578830176 -0.1542485536 -0.673795152  -0.37621681136
## 1533    good -0.7055733266  0.2772028936 -0.282678560  -0.17579631401
## 1534     bad -0.0460816996 -1.6440383263  0.658128305   0.19313569136
## 1535    good -2.0419684423  1.0767779189  0.669375867  -0.01290598831
## 1536    good -1.1695315847 -0.0560102960 -0.544961263  -0.10860848762
## 1537    good -2.3071765187 -0.3811115597  0.564476807  -0.57365705850
## 1538    good -2.5027326470  0.0067722527  0.153980356  -0.38920877587
## 1539     bad -2.4502594340  0.7004748077  0.414012510  -0.19439485668
## 1540     bad -0.3554878757 -0.9498452614  1.307020655  -0.27051011565
## 1541    good -1.8471046339  0.3560750874  0.379639049   0.54176819654
## 1542    good -0.2133702694  0.5587022334  1.409004057   0.12663574933
## 1543    good -2.2802935375 -0.7533691079 -0.216621943  -0.08240180148
## 1544    good  1.3232082622  1.0058691582 -0.446324357   1.03144571191
## 1545    good  0.7447041003  1.6357973064  0.953979830  -0.13993580375
## 1546    good -1.1571560058  0.3739221984 -0.125338430  -0.18195351607
## 1547     bad -1.5614873752  0.1374009610 -0.463193165  -0.19536595759
## 1548     bad -3.1885468407  1.4984504289  0.652255594   0.24361531790
## 1549     bad  2.2298161376  0.2600997205  0.086076615   0.58692455589
## 1550    good -0.5004563897  1.4234126852  1.255669667  -0.32123299365
## 1551     bad -1.4890130632 -0.6785337045 -1.560825015   0.00241598343
## 1552     bad -1.4745282920 -0.7320307839 -1.481590143   0.01057999744
## 1553    good -2.0926431024 -1.3409197909  0.853883063  -0.26023162619
## 1554     bad -1.3631894565 -0.7894070876 -1.557362418  -0.17313296202
## 1555    good -2.5542057660 -0.0056678512 -0.902541088   0.03875139526
## 1556    good -1.5402196223  0.6967265816  0.045902670  -0.36226661577
## 1557     bad -2.4275701206 -0.2214161690 -1.688313635  -0.07730646436
## 1558    good -2.5542057660 -0.0056678512 -0.902541088   0.03875139526
## 1559     bad  1.0292631251 -5.6068195495  1.844775333  -0.60082435162
## 1560     bad -0.3150794941 -2.3814772725  0.863797119   0.34802342863
## 1561     bad -0.3150794941 -2.3814772725  0.863797119   0.34802342863
## 1562     bad -0.3150794941 -2.3814772725  0.863797119   0.34802342863
## 1563     bad -1.3306207562  0.3678444641 -1.062474812  -0.07550788800
## 1564     bad -1.3306207562  0.3678444641 -1.062474812  -0.07550788800
## 1565     bad -1.3306207562  0.3678444641 -1.062474812  -0.07550788800
## 1566    good -1.8974422210 -0.2948280491  0.669052718  -0.77647806091
## 1567    good  0.2464746288  0.9444442788  2.666801505   0.17983586926
## 1568     bad -1.3306207562  0.3678444641 -1.062474812  -0.07550788800
## 1569     bad -1.0739319797 -0.8026188483 -0.437392377  -0.27274838949
## 1570    good -2.4019061267  0.9801341868  0.787333165   0.09111462862
## 1571    good  0.2004534301  1.1880823298  2.532017177  -3.14449418183
## 1572    good -1.7110684769  1.0754423685  0.796794189   0.30173324397
## 1573     bad -0.7865023364 -2.4023622878  0.515118895   0.46253595865
## 1574    good -2.3578747948  0.7657890702  1.371882295  -0.20382053013
## 1575    good  1.3793294014 -2.7475411092  2.708838175   3.80887843777
## 1576    good -0.5248894680  1.6063232880  0.767666690   0.23327565381
## 1577    good  0.9133955317  1.3784017662  1.332889639  -0.40303221259
## 1578    good -1.9040854922  0.1044412212  0.205234058   0.71752166779
## 1579    good -1.5199255901  0.7192436455 -0.197821709  -1.03955409599
## 1580     bad -2.7479381549  0.4293182079  0.914052454  -0.03978364640
## 1581    good -0.7819785653  1.8140914552  1.073577640   0.34019195257
## 1582     bad -2.7479381549  0.4293182079  0.914052454  -0.03978364640
## 1583     bad -3.2071294065  0.8892051944  0.292123484   0.42720843172
## 1584     bad -0.8296831154 -1.6877582571  1.346795201  -0.08236375594
## 1585    good -0.2079615517  0.9698122031  2.186187399  -0.19726320969
## 1586    good -0.0399990188  0.6553822038  2.042178291  -0.30565977267
## 1587    good -0.0714585911 -0.0145811063  2.773191284  -0.26404600999
## 1588    good -2.5227525478  0.4140461589  0.317927670  -0.45889444107
## 1589    good -0.9721684607 -0.7977905011  2.848003891  -0.14827314277
## 1590     bad -0.2367277732 -3.2310056803 -0.112595495   1.67338241667
## 1591    good -1.7259228705  0.5287742419  1.648525655  -1.06685101625
## 1592    good -3.4853588000  0.5797807980  0.176133382  -0.60625729738
## 1593    good -1.4556735759 -0.3116480975  1.123887808  -0.49172292540
## 1594    good -1.2352310829 -0.9250562087 -0.009306277  -0.82173750284
## 1595     bad -2.1498275430 -0.8140313395  0.616869627  -0.40755913580
## 1596    good -2.2138035086 -0.8928220455  1.806836694  -0.41387351155
## 1597    good -1.4556735759 -0.3116480975  1.123887808  -0.49172292540
## 1598     bad -2.2698078356 -0.9794846868  0.627768172  -0.63956998507
## 1599    good -0.4268412180  0.5365223591  1.628445751   0.39159343916
##                PC5           PC6           PC7            PC8           PC9
## 1     0.0669935224  0.9136348704  0.1609928261 -0.28217000106  0.0050964416
## 2    -0.0183858093 -0.9294231538  1.0095127630  0.76234847222 -0.5205438218
## 3    -0.0435173927 -0.4013475722  0.5393847364  0.59775905227 -0.0868297617
## 4    -1.4986802172  0.1309762484 -0.3441828194 -0.45523257867  0.0915479380
## 5     0.0669935224  0.9136348704  0.1609928261 -0.28217000106  0.0050964416
## 6    -0.1100415444  0.9933156118  0.1096249482 -0.31393599480 -0.0343367725
## 7    -1.1330279031 -0.1749456402 -0.2609303432  0.24007419473 -0.0272946674
## 8    -0.7801905006 -0.2859675867 -0.1314080335  0.11929993235 -0.6144533503
## 9    -0.2266557216  0.5124735597 -0.2495319898  0.43885122138 -0.3988740491
## 10    1.7179633422  0.4763482607 -0.2302975166  0.83852617137  1.2736043546
## 11   -0.9320478027 -0.2025355470 -0.7160007726  0.51987186420  0.1902283034
## 12    1.7179633422  0.4763482607 -0.2302975166  0.83852617137  1.2736043546
## 13   -0.3430536582  0.2950619453 -0.6246158758 -0.30841489320  0.3445767022
## 14    0.7261869420  2.1989902806  2.0131326263  2.06982921902  0.4943668514
## 15   -0.1993024802 -0.4024399403  0.5196568861  0.07760989398 -0.8783552909
## 16   -0.1028980214 -0.2381892414  0.6718617328  0.22045820032 -0.7022863170
## 17   -1.2901100690  0.4181238813 -0.0899748607 -0.79445926944  0.2313549398
## 18    1.1297066055 -0.7777633105 -0.6911672555  0.01562143859 -0.3951800058
## 19    0.8988497518  0.4782637317 -1.2129477788  0.63449602095  0.1157604877
## 20    0.2596692654 -0.7562733175 -1.9293907268 -0.27733437474 -0.2354699527
## 21   -1.5624172316  0.9905076526 -1.1296424612 -1.02361101034 -0.3252315137
## 22   -0.3387474977  1.5309025464 -0.4136891929 -0.89034698714  0.3139183080
## 23   -0.5429995518  0.5873450351 -0.0428989909  1.25009264492 -0.0279746552
## 24   -0.9303275820 -0.3368931813 -0.6019113663  0.86425856230  0.2721515995
## 25   -0.2336205748  1.0728422215 -0.7813198438 -0.01364988878 -0.4671969963
## 26   -0.9908216479  0.6524004082 -1.2968697506  0.44341632572 -0.1432720680
## 27   -0.5966649746  0.4702720007 -1.0195882830  0.51704723720  0.0204130781
## 28   -0.5429995518  0.5873450351 -0.0428989909  1.25009264492 -0.0279746552
## 29   -0.0705952129  0.6000298313  0.0481523997 -0.14506116545 -0.1682786060
## 30    0.0613867659  0.2469258490 -0.0204644331  0.36007543369 -0.3652916989
## 31   -0.2795798503 -0.5436280865 -0.1383670913  0.23076627378  0.4847768706
## 32    0.5698943351 -0.0314400213  0.0737464786 -0.41960291047 -0.7160569121
## 33   -0.8416209810 -0.7688550420  0.4980901807  0.94039076542  0.9317315103
## 34    3.6874514768  0.6845659515 -1.5953934920  0.87256060614 -0.7876094114
## 35   -0.8963308050  0.7615045227 -1.9724047621  0.12659170074  0.4543846931
## 36    2.0305476400  0.5882268137 -0.7663372463  0.73482155382 -0.1843298387
## 37    0.7790861560  0.3043374653  0.0367927658 -0.20640168952  0.1500749117
## 38   -0.6362980105  0.7114394171 -0.3502178567  0.78083651761 -0.1715635810
## 39    0.7946503742 -1.6945776941 -0.1414330871 -0.95645728209  0.4180257476
## 40    1.7610831167  0.6457733831 -0.4244505009  1.04386400104  1.2761353208
## 41    1.7610831167  0.6457733831 -0.4244505009  1.04386400104  1.2761353208
## 42   -0.3912454745 -0.1844476623 -0.3885732829 -0.13256739325 -0.0931503836
## 43    1.8428924372 -1.1123866979 -1.7060586295 -0.58902943130 -0.7896580254
## 44    0.8449025161  1.1805112666  1.8447393176  1.50831440039  0.2389138710
## 45   -0.0940272486  0.7123152074 -0.1913386509  0.23664824741  0.0696675229
## 46    1.2866801381  0.5910644470 -0.0296121438 -1.53801944745  1.6137555308
## 47   -0.4993675107 -0.9652550439  0.9511105807 -0.17960794145  1.4553010557
## 48   -1.1152696128  0.2995516297 -1.3309843835 -0.52115060123  0.2209052982
## 49   -0.8161247216  0.8158026330 -1.3177518958  0.53538263888  0.1886237432
## 50   -1.7080257597  0.5302088851 -1.5138857125  0.36124306941  1.5454917571
## 51   -0.5678609676 -0.0026347123  0.4220251976  1.02848862356  0.2479483839
## 52   -0.1140969907  0.7985892013 -0.6842703707  0.79927762585 -0.1732866979
## 53   -0.1708214169  0.8239138938 -0.7248035424  0.90410833846 -0.0876420664
## 54   -1.3593925445 -0.1612593047 -0.6814840927  0.14041707634  0.3756716120
## 55   -0.5967771193 -0.8389693675 -0.3755714706  0.53487713848 -0.9283941638
## 56    0.3824608565  0.2445387242 -0.3821954761  0.25201988919 -0.8877579874
## 57   -0.2765607270 -0.3782056504 -0.7209326097  0.85006490878  0.1207951250
## 58    0.5666357332  0.1556766862  0.1822517832  0.51116855269 -1.1272912266
## 59   -0.0854785659  0.5211241455  0.0809992422 -0.37153525324  0.1325970136
## 60   -0.5348289818  0.7493670988 -1.2401127057 -0.04652142596  0.6413204327
## 61   -0.6219590659  1.3372786029 -0.4569174923 -0.72650152081  0.2017230630
## 62   -1.0549251981 -0.6662783583  0.1883036926 -0.13657491110  1.4297119061
## 63   -0.3761920451  0.6573768206 -0.4212779304  0.10112198706  0.0002925230
## 64   -0.1367326438 -0.0451313160  0.1985016921  0.13096202427  0.2710810930
## 65    1.7949667354 -0.7858223236 -0.7693272156  0.14745694665 -0.0863497634
## 66    1.7949667354 -0.7858223236 -0.7693272156  0.14745694665 -0.0863497634
## 67   -0.5632305732  0.7214389465 -0.3326083378 -0.07391349083  0.0776176914
## 68    0.3387903466  0.0417455576  0.2256504956 -0.07927287450  0.1007701248
## 69   -0.8094449055  0.4866439416  0.2516539172 -0.47905893403  0.0190912206
## 70    0.6203325432  0.5177744431  1.4046345265  1.08097109383 -0.1149557282
## 71   -0.4848726731  0.1133224356 -0.1583328266  0.24632639556 -0.4959177303
## 72   -0.9330671882 -0.6385645667 -0.2408080491 -0.17890300549  0.9025302412
## 73   -1.0577748940 -0.6930287976 -0.1082743592 -0.15221065942  0.8013864587
## 74   -0.4685599730  0.0123109473 -0.1431788882 -0.15263482151  0.3195207538
## 75   -0.7891097954  1.0056925038  0.0267602228 -0.41544858636  0.1617247660
## 76    0.2888728295  1.2324392194 -0.2842322165 -1.77317881354  1.1363049655
## 77    0.2888728295  1.2324392194 -0.2842322165 -1.77317881354  1.1363049655
## 78    0.9189090648 -0.1031519365  0.2588078202 -0.59730804752 -0.2151705774
## 79   -0.3114936542 -0.6424170233  0.0548448799 -0.01799603278  0.9394296310
## 80   -1.1411520013  0.6727273591  1.7563877818  1.53956713806  0.6228160277
## 81   -0.5893818080  0.9255103210 -1.2186619168  0.35552009889  0.4326697624
## 82    1.4173189258 -1.1188419481 -1.9768391041 -1.67648749615 -0.0160856126
## 83   -1.0421394361  0.4401410584 -0.7290279022 -0.60260523016  0.7114062008
## 84    1.5078743496 -1.3319200410 -1.1295986086 -0.66866130786 -0.4329846938
## 85   -0.5814523519  1.2305404302 -0.6074682109 -0.21602937583  0.8458418179
## 86   -0.1885629251  0.3486602282 -0.2989467836 -0.04276367837 -0.2375442714
## 87   -0.0168453776  1.4666791644  3.4223902577  3.92494428944  1.3144762657
## 88   -0.4399098054  0.8436314736 -0.3213360737  0.14377090849  0.3332529311
## 89   -0.9617258527  1.0035849703  1.3239163085  1.00105231577  0.4196014939
## 90   -0.1980677618  1.0999128084 -0.4496160239 -0.20505702658  0.1225968990
## 91   -2.0230741737 -0.5279197661  0.0138727501 -0.19517190094  0.0472328535
## 92   -0.0168453776  1.4666791644  3.4223902577  3.92494428944  1.3144762657
## 93    0.0746635382  1.5721263197  3.4251193514  4.03139300506  1.3541280916
## 94   -0.4399098054  0.8436314736 -0.3213360737  0.14377090849  0.3332529311
## 95   -0.3252924307 -0.2199558423  1.2418549641 -1.45178423323 -0.0084352332
## 96    0.9684618324  0.1508794197  0.3803743492 -1.42604544453  1.8489209657
## 97    1.2301229947 -0.3021484146  0.0402043343 -0.04741183584 -0.0538956606
## 98   -0.5580175328  0.4166833889 -0.8022793710  0.90968058683  0.4437501393
## 99    0.6967905571 -0.2974689668  0.4864480799  0.19567614668  0.0342580438
## 100  -0.7314036129  0.5060380427 -0.3962196721  0.28452261035 -0.1422978897
## 101  -0.0489460385  0.1804226124  0.1585090838 -0.50148786267  0.5714185204
## 102  -0.3405735462 -0.1146269549 -0.4736342241  0.00687031714  0.1406242729
## 103  -0.7314036129  0.5060380427 -0.3962196721  0.28452261035 -0.1422978897
## 104  -0.9060812920 -0.0756659497 -0.4682944776  0.17813187222  0.5244541292
## 105  -0.6184534584  0.1723856215 -1.1140711539  0.29932591040  0.5556218668
## 106  -0.9060812920 -0.0756659497 -0.4682944776  0.17813187222  0.5244541292
## 107   1.2702113291 -1.1802131044 -2.0156203078 -1.33354398662  0.1639116862
## 108  -0.2473903241  1.0397394174  0.1068414792 -0.09964071538  1.0033501267
## 109  -0.4737821372  1.1973988517 -0.4867810951 -0.28033501489  0.9990281644
## 110  -1.3806277341 -1.1422377387  0.7018373438 -0.65383374442  1.1921006062
## 111  -0.3334410710  0.3399727787  0.3985793735  1.26302069217  0.1307283912
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## 179   0.5783697339  0.4232916561  0.2236431980  0.15324919360  0.1023121829
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## 186  -1.4226155482 -0.0621612671 -1.0830198708 -1.00636817409  0.3115053782
## 187  -1.0651523974  0.6255798401 -1.1331986396 -0.42692738007  0.9440106137
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## 189  -1.6052843838 -0.5874208968 -0.3783919518  0.27211705782  1.8180996703
## 190  -1.7140888782 -0.5459178679 -0.3412874452  0.25122442565  1.6930819614
## 191  -0.9989564512 -0.0651943751 -0.2068117510  0.28516271698  1.2345630859
## 192  -0.3456208507  1.7242750231 -0.7342757903 -0.80796115760  0.1115316812
## 193   0.0088054302 -0.4087411373 -0.4443733258  0.80272281979  1.3178550047
## 194  -0.3875253474  0.0207255369 -0.5418554669  0.46344382023  0.1825094282
## 195  -0.3875253474  0.0207255369 -0.5418554669  0.46344382023  0.1825094282
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## 198  -0.6509414457  0.8585676555  0.7694308213  0.55834887940 -0.0527380369
## 199   0.5784897977 -0.8176481245  2.0828627817  0.15308690532  1.5944740953
## 200   0.8146249930 -1.4638972969  1.2706046954 -0.69949205247  0.2967811414
## 201  -0.8397532254  0.7986660064  0.2650911941  0.38156014158  0.1497467446
## 202  -1.7555142366  0.2930266379  0.7270026788  0.99547803597  0.4554281513
## 203  -0.6883937639  0.8228915681 -0.0254399245  0.81833406102  0.0524048946
## 204  -1.0793449001  0.4922727174 -1.1753857542 -0.19390053319  0.1301824986
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## 210  -0.1572815522  1.3193620439  0.5918022797 -0.13391912369  0.3270626986
## 211   0.4816013171 -0.2118885818  1.4569660206 -0.13292215810  0.7732484310
## 212   0.1678894119 -0.4001307537  0.1267877127 -0.06570814324  0.7850127048
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## 217  -0.3179002857 -1.3749613270  0.2734813246  0.35288501091 -0.2291764415
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## 220  -1.3016974011 -0.2318678981 -0.1312065770 -0.01252947710  1.4581096831
## 221  -1.1508662456  0.6634299067 -0.9615404478 -0.28457961317 -0.1059670024
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## 227   1.0703644031 -0.5160461789  0.7010659800  0.58622187759 -0.1434622731
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## 229  -0.4657299793  0.1824311583 -0.3371796050 -0.30467993777 -0.4674618790
## 230   0.4610969741  0.1526537946 -0.5581828473 -0.66133023358  0.3987302881
## 231  -0.3601260827 -0.3726045510  0.1336792169  0.04776995916  1.0440756351
## 232  -0.7889179571  0.4679194860 -0.7605910335  0.14883407730 -0.1364693025
## 233  -0.2020926743  1.0379243022 -0.4376103858  0.18663650666 -0.1406928361
## 234   0.4610969741  0.1526537946 -0.5581828473 -0.66133023358  0.3987302881
## 235   0.0058484868 -0.5412899024  0.8693386061  0.44927345624  0.4440222993
## 236  -0.4066931626  0.4274401601 -0.3961649398  0.32136807781 -0.3025902858
## 237  -0.4066931626  0.4274401601 -0.3961649398  0.32136807781 -0.3025902858
## 238  -0.3445330242  0.3222954349 -0.2759673332  0.25492743814 -0.3415770703
## 239  -0.4066931626  0.4274401601 -0.3961649398  0.32136807781 -0.3025902858
## 240   0.0058484868 -0.5412899024  0.8693386061  0.44927345624  0.4440222993
## 241   0.3142366928 -1.1266924582 -0.1269654672  0.68396820086  0.5823359819
## 242  -0.2008737395 -0.0238182262  0.4978452643 -0.50337116644  0.0215495309
## 243  -1.6912704054 -1.5094857983 -0.2975039225  0.63805665652 -0.1445118345
## 244  -1.0588572939  1.1514753236  0.7065574732  0.36506058386 -0.8513377682
## 245  -1.0588572939  1.1514753236  0.7065574732  0.36506058386 -0.8513377682
## 246   1.1798262246  2.1668811833  1.1221241779  0.15260687197  0.2969211606
## 247  -0.4852830576  0.1343460081 -0.0666969881  0.02541866918  0.0176936840
## 248  -1.0627958572 -0.6863671938 -0.5152594552  0.58344341213  0.5313500217
## 249  -0.6802607335  0.0631065193 -0.5322672724  0.19288709040 -0.0135273242
## 250   1.1798262246  2.1668811833  1.1221241779  0.15260687197  0.2969211606
## 251  -0.9646186208  0.9757842725  0.4836200515 -0.04638473565 -0.2717675480
## 252   0.0525064536  1.0696033178  0.3572553124  0.11723177847 -0.3383497936
## 253  -0.0053838119 -0.1805972376 -0.5835058340 -0.33287775728 -0.0560691591
## 254  -0.7745624439 -1.0563436924  0.0988608170  0.11261092660  1.6519827969
## 255   0.0525064536  1.0696033178  0.3572553124  0.11723177847 -0.3383497936
## 256  -0.7363956614 -0.2815471485 -0.3057644196  0.58371691804  1.2074274750
## 257  -0.6667819031  0.8306274876 -0.8230590703  0.33446578705 -0.0551731939
## 258  -0.0035957663  0.9218231517  0.1608958158  0.32832004167  0.4613743503
## 259   2.2614604063 -2.3691969561 -3.5624530238 -2.36234668287  0.1289899569
## 260   0.2735950501  1.4585547111  0.1968616430 -0.64864530668 -0.0102396642
## 261  -1.1805461885  0.7879324283 -0.7921583602  0.41884595520 -0.2830527386
## 262  -0.1218420113 -0.8159846142  0.7618329913  0.44019373314  0.6965142248
## 263  -0.5716342792  0.1409366060 -0.1929269860  0.47839121846 -0.2187372147
## 264  -1.1693881523  0.7041790089 -0.5707358400  0.40116823069 -0.4909984091
## 265   0.1785719113  0.0134123833  1.8079706475  0.29656737114  0.1230629613
## 266  -0.8192269165  0.4437895971 -0.0836471072 -0.00026693459 -0.1991394669
## 267   1.3671426758  1.2485368683  1.3879036581 -0.92626686777 -0.3184210638
## 268   1.4893952095  0.3213425638  0.4222059876 -0.18702510072  0.2099495051
## 269   1.4212700135  2.8574769298  0.2972165969  0.06719147045  0.4387321416
## 270   1.0300687983  1.7491428321 -0.1804166280  0.27624028594  0.1685097945
## 271   0.7642488877  0.0139542414  0.0510121376  0.37212588660 -0.7247498602
## 272   1.0300687983  1.7491428321 -0.1804166280  0.27624028594  0.1685097945
## 273   0.2368624665  0.6971881491  0.2176183169 -0.03171314629  0.4259464605
## 274  -0.0518443654  0.1243882819  0.3336837483  0.31095255194  0.2413635973
## 275   2.1760304757  0.7882724916 -0.2069180770  0.86154879801  0.2790844275
## 276   0.7642488877  0.0139542414  0.0510121376  0.37212588660 -0.7247498602
## 277   1.4212700135  2.8574769298  0.2972165969  0.06719147045  0.4387321416
## 278   1.0300687983  1.7491428321 -0.1804166280  0.27624028594  0.1685097945
## 279   2.7820136823 -0.0910038509 -0.0562426720  0.76679609659 -0.0667623191
## 280   1.9642126094  1.0747332027 -0.4394525738  0.35458413011  0.3751929944
## 281  -0.0540378390  1.0284863959 -0.3294018678  1.05111703211 -0.1993129500
## 282   2.2416616046 -0.1502878149 -2.6832032747 -1.06809353123  0.1354856983
## 283  -0.2216790213  0.6871149469 -0.6444889734  0.55521461995  0.2434085944
## 284   1.9642126094  1.0747332027 -0.4394525738  0.35458413011  0.3751929944
## 285   0.3188979969  0.6623569622  0.8223223297 -0.21317298827 -1.1004673726
## 286   0.3188979969  0.6623569622  0.8223223297 -0.21317298827 -1.1004673726
## 287  -0.8898420777  0.1476233165  1.1545533373 -0.42040561143 -0.6138861109
## 288   0.0609781269  0.6658674157 -0.3519305933  0.15233509330 -0.9061069812
## 289   0.3936875798  0.7024727551  0.8536525318  0.39775189467 -0.5302764085
## 290  -0.3391533072  1.2107076269  1.0014135649 -0.30605002603 -0.1180843027
## 291   0.3936875798  0.7024727551  0.8536525318  0.39775189467 -0.5302764085
## 292   0.9820237571 -0.7145161222 -2.3794162793 -2.41723601559 -0.6495468073
## 293  -0.0015040876  0.0531329599  0.6128992981 -0.19578244043 -0.5368335966
## 294   0.1819658648  0.7656693240 -1.3047154636 -0.03304980340  0.1867450499
## 295  -0.3908524369  0.6976051919  0.6454120791  0.04856839361 -0.4224744210
## 296  -0.5086178542  0.0971707076  0.1875395038  0.36885123945  0.1240848057
## 297  -0.5634273712 -1.3030728070  1.0567452809 -0.53846169270 -0.2388141966
## 298   0.7778375130  2.0495251982  0.3401772556 -0.65505986151  0.3977774040
## 299   1.2437069762  2.1970889906  0.5486870600 -0.51707898223  0.5256835678
## 300   0.8276993703  1.9367153331  0.3733602715 -0.67380619415  0.5325461715
## 301   0.1821644907  0.0757822712 -0.1120341782  0.00705811442 -0.5677546584
## 302  -1.1555169208  0.7184426439 -0.5239243263 -0.16635658337 -0.2269679561
## 303   1.0108654671  1.1930201316  0.7671538784 -0.57601264397 -0.0505855969
## 304   0.2422998316 -0.5730965325 -1.1053696903 -0.68989607315 -0.0307421776
## 305  -1.0214070267 -0.8886833536 -0.5285180035 -0.59959576641  1.5554705102
## 306  -0.5444585125  0.2544874525  0.0405240545  0.13684602352  0.2366991867
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## 308   0.3288853941 -0.2157799247 -1.3599559655 -1.03790930379 -0.4359036885
## 309   0.3946119179 -0.2459065074 -1.3094850833 -1.05253309285 -0.3564967812
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## 311  -0.5444585125  0.2544874525  0.0405240545  0.13684602352  0.2366991867
## 312  -1.3389578021 -0.3067735881 -0.3719927857  0.34755397104  1.0928097423
## 313  -0.5673595270  0.4188106427 -0.2321502071 -0.21688333091  0.6920854873
## 314  -1.1825719837  0.0144650658 -0.3045289106 -0.24169106637  0.7146415030
## 315  -0.1334618353  0.3996956754 -0.2977708111 -0.35491978249 -0.0598333814
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## 318   0.1456969471 -0.3257390128  1.3807326475 -0.32313031237 -0.6535436391
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## 320   0.1456969471 -0.3257390128  1.3807326475 -0.32313031237 -0.6535436391
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## 326   3.9964865686  0.7680839718 -1.2601743879  2.23257067697 -0.2837277842
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## 340   0.0703705863  2.0625512748  1.8510786176  1.25294700361 -0.1698572231
## 341  -0.1725081535  1.9816492456  1.4205588144  1.16217494842 -0.1899192719
## 342   0.4547859878  0.2141110126  0.8188081443  0.41017706281  0.2050719163
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## 345   0.3071341138  0.0248765717  1.3248259133 -0.16892866280  0.2141669309
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## 347   1.8666980705  0.2130330799  1.8318837688 -0.03285474545 -0.0303421135
## 348   0.7364423320 -0.8338738102  1.7577849121  0.01794493962 -0.1374354055
## 349   0.0843198421  0.1106342453  0.8879587988  1.09056679060 -0.1294413909
## 350   0.8564218472  1.0088608692  1.3731844298  0.52910130850 -0.3522504553
## 351   0.8363580723  1.0273454020  1.7340763479  0.11845903461 -0.5470228163
## 352   0.8405552083  0.8734747269  1.2928638799  0.47085211212 -0.4093322119
## 353   0.2345894149  0.4485100463  0.1704179208  1.07233689941 -0.3714329387
## 354   1.8209851235 -0.9176071241  1.7343264930 -1.86576409026  0.2180063117
## 355  -2.3741175435 -1.4768721619 -0.6847652087  0.09637390670  0.8843185625
## 356   1.4140192439 -0.5608413049  1.0822896827 -0.71735865046 -0.3031807729
## 357   0.2494076713  0.8361190633  1.3456021830 -0.71919497576 -0.6165565604
## 358   0.6284428986 -0.5647228635  0.1506634749 -0.82343772871  0.1988418059
## 359   0.4857013826  0.3763981219  0.5674939381 -0.41647437895  0.0288753665
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## 361  -0.6407305361 -0.4290419471  0.4352964689  0.54214480553  0.6811485763
## 362   0.1887598594  1.3924151363  0.5143202958  0.12090299641 -0.1023377711
## 363  -0.6283150342 -0.7919972997  0.4476947115 -0.33717011817  0.5371292498
## 364  -0.5686481673 -0.0818695218  1.1091865179  0.51420355080 -0.0270833638
## 365   1.6048918316 -0.0586736515  0.7145739869  0.08002047000  0.4950327354
## 366   1.3994105813  0.2156376248  0.6267548165 -0.01456882520  0.1901741657
## 367   1.6048918316 -0.0586736515  0.7145739869  0.08002047000  0.4950327354
## 368  -0.3620756079  0.5255595460  0.2506520259 -0.20943377520  0.2458339258
## 369  -0.4015528661  0.1318621570 -0.9496784626 -0.79684265544  0.3814986373
## 370   0.6659830574  0.6706476746  0.9150126107  0.94478116633  0.3130497192
## 371   0.2792602374  1.2342373014  1.3304401359 -0.36398413700 -0.6338267332
## 372  -1.0764886527  2.0399577021 -0.6597574778  0.83507674733  0.2249481319
## 373  -0.4655404277  1.4420683890  0.7896682766  0.20531366513 -0.2920560817
## 374  -1.0694333232 -0.9049783290 -0.7071027469  1.30517411590  0.4306311988
## 375   0.4801699342 -0.0982306660  1.1044480218 -0.00942870111  0.2448817355
## 376   1.5508821108 -1.3105884022  0.5447462044  0.09718007665  0.1163955579
## 377   0.8233105408  1.3428261318  1.9823853558 -0.00877879513 -0.0816922848
## 378   0.6659830574  0.6706476746  0.9150126107  0.94478116633  0.3130497192
## 379   3.2732556708 -1.0775458256  1.6789255898  0.46090966771  0.4349054181
## 380  -0.0907180418  0.3253075596  0.0316915772 -0.49753413612 -0.1400613175
## 381  -0.7524858671  1.1641876940 -0.7204097624  0.66450769947  0.0350418813
## 382  -0.3330809095  0.3965325151  1.0959465640 -0.49718858096 -0.2669962512
## 383  -0.7524858671  1.1641876940 -0.7204097624  0.66450769947  0.0350418813
## 384  -0.7524858671  1.1641876940 -0.7204097624  0.66450769947  0.0350418813
## 385  -0.3850762187  1.2976099884 -0.0166529423 -0.29551757778 -0.0440298497
## 386   0.5081370370  1.0273006230  0.3259221905  0.27379727091  0.0801678168
## 387  -0.3622798027  1.2387801616  0.1067828767 -0.28879351686 -0.1945002130
## 388  -0.5567104402 -0.0585971827  0.1295472270 -0.06439477801 -0.2825477482
## 389  -0.5110902836  1.4730122423 -0.0935700555 -0.34469704632 -0.1399196765
## 390  -0.4198637317  0.3162371953 -0.1627729421  0.21989769381 -0.2730578835
## 391   0.6537636869 -0.9015416314  2.0137388409  0.24151382662  1.4786351066
## 392  -0.3330809095  0.3965325151  1.0959465640 -0.49718858096 -0.2669962512
## 393  -0.9675354134  0.1269547864 -0.9651098648 -0.24622095952  0.3148756220
## 394  -1.2075755063 -1.0611464797 -0.4547847083 -0.41542776275  1.5859032973
## 395  -0.7212953117 -0.6736986773  0.7891039705 -0.33752917841  0.2289299635
## 396   1.3447078371 -0.4787718253  0.6624949084 -1.35524621329  0.6122113145
## 397   2.2107643692  0.0285890504 -0.4012261186 -0.61723081226 -1.9136676737
## 398   0.0077858134 -0.6876739848  0.9385566254 -0.81505529452  0.3479532605
## 399   0.0077858134 -0.6876739848  0.9385566254 -0.81505529452  0.3479532605
## 400  -0.7088902768 -1.0822056773  0.2809143976  1.00905502624  0.1971791402
## 401   2.2107643692  0.0285890504 -0.4012261186 -0.61723081226 -1.9136676737
## 402  -1.2136762214 -0.1101883595 -1.0708481336 -0.10528422634 -0.4791668745
## 403  -0.6045897196 -0.4411796538  0.7399332904 -0.68226925823 -0.0932412225
## 404   0.0027681403 -0.4829287749  0.7840976631 -0.43397408272  0.1844996111
## 405  -0.0764007706  0.2000999501 -0.0050289943  0.82162099203 -0.5479609529
## 406  -0.7600655675  1.1906492865 -0.1675105622 -0.12066038684  0.2550136865
## 407  -0.0535534802  0.1650044654  0.2046359299 -0.20477398070  0.1964828883
## 408   0.0756488657 -0.0689216246  0.1681170606 -0.97034642680 -0.0210979918
## 409   1.1470275224 -0.8476564525 -1.0426874752 -0.64051797107 -0.0725152480
## 410  -0.3194798298 -0.6399855082 -0.0326555506  0.28299043338 -0.9243558458
## 411  -0.7258331434  0.9250506907 -0.0967495351 -0.68098725030  0.1760461801
## 412  -0.6613335604  0.9023136017 -0.0580373723 -0.68653032597  0.2376743997
## 413  -0.5921086571 -0.3809567758  0.1294265648  0.40951029164  0.6347926231
## 414   2.9567307164  0.1786795324 -0.3439412136  0.39460203002  0.2452677413
## 415  -0.9418017959 -0.0061270002  0.0240737325 -0.17313036486  0.8867533319
## 416   2.2605136234  1.1685299153  1.1727917060  0.85626473014  0.7555593657
## 417   0.3541982797 -0.7483289993  0.2275894377 -1.10221530016  0.4008401211
## 418  -1.0257985384 -0.5152438660 -0.0306724393 -0.80114740016  0.2672299724
## 419   0.0299932530  0.5330842767  0.3309739216 -0.84720737038 -0.1239927108
## 420   0.1034658915  1.2428908620  1.1262511846 -0.84858743917 -0.7811292106
## 421   0.0043961097 -0.5453472006  1.2385125102 -0.71937045465 -0.8504495176
## 422   0.7266799620 -0.7952530634  1.3848131183 -0.80833194804 -0.7945552985
## 423  -0.1441275235 -1.4539923894  1.1264935143 -0.37131445431  0.6118756796
## 424  -0.2322319144  0.7187734122  0.4430082922  0.63734396703  0.0640734832
## 425  -0.1441275235 -1.4539923894  1.1264935143 -0.37131445431  0.6118756796
## 426   0.7266799620 -0.7952530634  1.3848131183 -0.80833194804 -0.7945552985
## 427   0.0676523000 -0.3463813178  0.3237949523 -0.31566397995  0.0052873917
## 428   0.1386637229 -0.5215062932  1.0520104257 -0.33151872053  0.1999640252
## 429  -1.0657439051  0.3946799433 -0.0441835944  0.02945559019  0.1228799901
## 430  -0.0922914967 -1.2865441908  1.6688863609 -1.00452514040  0.1155276754
## 431  -0.2322319144  0.7187734122  0.4430082922  0.63734396703  0.0640734832
## 432  -1.0133598475  0.0989000437 -0.3786913552  0.00342664263  0.2383448999
## 433  -0.2979079312 -1.9116210967  0.6125764977 -0.27609026199 -0.2519571616
## 434  -0.7135879567  0.2277781537 -0.3965567505 -1.03857640512  0.0108167488
## 435  -0.0921208682  0.8233374838  0.6425788150  0.25430715491 -0.0913918689
## 436  -0.7135879567  0.2277781537 -0.3965567505 -1.03857640512  0.0108167488
## 437  -1.0567735541 -0.6709480493  0.5403901024 -0.28210872530 -0.8726644974
## 438   0.3495030725 -0.2959436976  0.3198434571 -0.53269754292  0.5391320536
## 439  -0.0921208682  0.8233374838  0.6425788150  0.25430715491 -0.0913918689
## 440  -1.3436805756 -0.8005899202 -0.3008518290  1.56833624772  0.4904211308
## 441  -1.1664950629 -0.2160769635  0.3422880951  0.82248049806  0.1568936845
## 442  -0.4236771656 -0.5143123458  0.6848560030 -0.29400350147  0.1690489221
## 443   0.7379988874 -1.1789072398  2.0308848220 -1.03152824557  0.2781131100
## 444   0.2080174113 -0.6346726357  0.1082408308 -0.31501417290 -0.1305385922
## 445   1.0555292984  0.3701648086  0.7778209448  0.53285854051  0.5570613007
## 446   0.0077005454 -0.3642217875  0.7463639653  0.18416283415 -0.1040167616
## 447  -0.8899795006 -0.0545306550  0.9383758906 -0.66921210954 -0.6110574181
## 448   0.4095298822 -0.5030109264  0.0190206584 -0.03077011561 -0.2519242640
## 449  -0.3434143057 -0.5271436092 -0.4013836786  0.26064029377 -0.1137174797
## 450  -0.3138317166 -0.4507824548  0.1433270978 -0.89892892934 -0.2602141569
## 451  -0.3138317166 -0.4507824548  0.1433270978 -0.89892892934 -0.2602141569
## 452   1.0510243817 -0.9955833307 -2.4218105726 -1.01923830428 -0.4329403619
## 453  -0.1735716858  0.7299004410 -0.0665722208 -0.04373534227 -0.4574664232
## 454   0.5304480230  0.6855446014  0.1393871629 -0.71930388919  0.4672565939
## 455  -0.7886126508  0.8530551830 -0.6964800493 -0.77819600229  0.4947338974
## 456   2.5965522194 -1.3319899004  1.1028580034 -0.82985956998  0.3947818946
## 457   0.3706551670  0.2764279062 -0.0304348389 -0.82303692377  0.4379286378
## 458  -0.3480327732  0.0330343027  0.3265638331 -0.45261224461 -0.6851627526
## 459   0.5304480230  0.6855446014  0.1393871629 -0.71930388919  0.4672565939
## 460  -0.7238841559  0.5567620135  0.4025429964 -1.16180382053  0.7429197849
## 461   0.1665127028  0.1188790438 -0.0267346841 -1.05821180908  0.0076608799
## 462   0.0867513634  0.3216568307 -0.2631300792  0.38099240911  0.0229985813
## 463  -0.1670289124 -0.5568019715 -0.2923571510 -0.76752742865  0.0749511432
## 464  -1.7767151898 -1.3232497504 -0.3313597041 -0.35969226361  1.6180376050
## 465  -1.1173793093  0.1553101176 -0.3764045051  0.67420540663 -0.1999921787
## 466   0.7726676728  2.5802696673  0.0962426808 -0.61504017832  0.1089568851
## 467  -0.3619309274 -0.4146839849  1.1622581920 -0.26876282889 -0.3289662273
## 468   1.2801174800 -0.9983431314  1.0461640035 -0.23738798010  0.2789412748
## 469  -0.7963395183  0.6738705097 -0.4254325911 -0.72016761104  0.3350051927
## 470  -1.3193756792 -1.0843626005  1.1698617826  0.32830399407 -1.5782958914
## 471  -0.7403746296 -0.4320241853  0.1948825997 -0.68677511042 -0.2177690123
## 472  -0.1537120106 -0.6581121458  0.8521848739 -0.29367412472 -0.4209021698
## 473  -0.5929568144  0.3666591175  1.0475832760 -0.41775743881 -0.3384917987
## 474  -0.1774596199  0.6536233763  0.1400516897  0.06657421702  0.3605504629
## 475  -0.8105558471  1.3138191771  0.0833796689  0.34478780121  0.0002254491
## 476  -0.0300777821 -0.5446941915  0.5632037032  0.27516125257  0.0168710268
## 477  -0.4399825987  1.0886059248 -0.7638083660 -0.02728404001  0.0153907719
## 478  -0.0581439524  1.1269050234  0.8099112986  0.73158305685  0.1114774121
## 479  -0.0300777821 -0.5446941915  0.5632037032  0.27516125257  0.0168710268
## 480   0.3501199442 -0.1168906142  0.8088392939  0.81994730590 -0.1008730922
## 481   6.2519772766  1.1315588533 -2.9215455175  2.92885708371 -0.2758900562
## 482   0.4908475087  0.0442174165  0.2189811019  0.66605520781  0.2408509942
## 483  -0.0341364752  0.5337660746 -0.0003186776  0.66407371308  0.0422632398
## 484  -0.0390277792  0.5540244636  0.0318106562  0.64721662397  0.0045427882
## 485   1.4814479381 -2.0262089489  0.1728993957 -0.39842279752  0.2277969576
## 486  -0.6723055106 -0.7112838779  0.3660633881 -0.11519639489  0.0655051980
## 487  -0.6723055106 -0.7112838779  0.3660633881 -0.11519639489  0.0655051980
## 488  -0.7322029012 -0.6101869259  0.2387943461 -0.22844861439 -0.0254243178
## 489  -0.0455594084  1.3666706605  1.2785132129 -1.01018670157 -0.6986952873
## 490   0.1668686971  1.1044265625  0.0219522454 -0.12956804915  0.1191080214
## 491   0.3634089971 -0.2958122810  1.3077540108 -0.44851953906 -0.2554348973
## 492   0.8032283248 -0.4699768382  0.9586893383 -0.38548788747  0.1836273129
## 493   0.9379562103 -0.3197286123  1.1827612053 -0.02351412996  0.2260602472
## 494   1.1346975285  0.5226093940  1.5503980722 -1.30738375385  0.4729849874
## 495   2.7476345135 -0.3930067977 -1.2819963034  0.76177024812  0.2043306391
## 496  -0.1586833704 -0.2652292682 -0.1040079024  0.06677247689  0.0637083089
## 497  -0.3938948213  1.3617032608 -0.2692243847 -0.32718072610  0.1498022721
## 498  -0.6588430424  0.2913791777  0.2126524171 -0.27876772121 -0.3378114477
## 499  -0.1586833704 -0.2652292682 -0.1040079024  0.06677247689  0.0637083089
## 500   1.1346975285  0.5226093940  1.5503980722 -1.30738375385  0.4729849874
## 501  -0.3938948213  1.3617032608 -0.2692243847 -0.32718072610  0.1498022721
## 502   1.8497371744 -0.3428496667  0.6897631041 -0.19454758616 -0.3659181166
## 503   1.8497371744 -0.3428496667  0.6897631041 -0.19454758616 -0.3659181166
## 504  -0.0597459793  1.0110309426  0.7750607474  0.74106573847  0.1377010060
## 505  -0.0803739899  1.2509751675  0.7658515437  0.76535665988  0.0318397264
## 506   0.6794915294 -0.9173646069  0.9350510488 -0.18577280884  0.2932202723
## 507  -0.0620456453  1.3273874571  0.6642849180  0.50088115689  0.1411718010
## 508  -0.0208368602  0.1888141035  0.8472276123 -0.34378622685  0.1962066921
## 509  -0.5545439462 -0.1912842664  0.7846694421 -0.43110669921 -0.5790702330
## 510  -0.6032589226 -0.6929044332  0.5578337249 -0.79166362058 -0.6187680885
## 511  -0.2054142581 -0.5893619004 -0.2684745382  0.69880054403 -0.6444682090
## 512  -0.5545439462 -0.1912842664  0.7846694421 -0.43110669921 -0.5790702330
## 513  -0.7853407516 -0.2628065194  0.0231501513  0.39549231060 -0.1772417902
## 514   0.2755996955 -1.3185048589  0.3030754434 -0.47551296841  0.1604780290
## 515   0.2755996955 -1.3185048589  0.3030754434 -0.47551296841  0.1604780290
## 516   1.7532086031  1.2052945206  1.1012304333  0.46137874350  1.3380001046
## 517   2.0324363193 -0.1525279463  1.3064903193 -0.84666411967 -0.0848098372
## 518  -0.0754072513 -0.3269547613 -0.9395830454 -0.86038472648 -0.0270066376
## 519   0.0631098036 -0.0558771314 -0.2240649657 -0.34791712955 -0.1962842041
## 520  -0.5633625464  0.3506751997  0.1158124853 -0.68711861761  0.1672153617
## 521   0.2082640730  1.8763929299 -0.0770810973 -0.37295663456  0.0727581269
## 522  -0.4936666389  1.5033536557 -0.8301341257 -0.96522203536  0.5658924904
## 523  -0.8981804263  1.2920838246  0.7981737217 -0.58523661700  0.1821450595
## 524  -1.8353099921 -0.1765421513 -0.2760854486 -0.66792624327  0.4973949010
## 525  -1.2829839667  0.0058954752 -0.1833693510 -0.25370127834  1.0120394352
## 526   0.0058133735  0.0965049637  0.8774029601 -0.52758219121 -1.0224243886
## 527  -0.5633625464  0.3506751997  0.1158124853 -0.68711861761  0.1672153617
## 528  -0.1133648570  0.2148022478 -0.0319878967 -0.78824807032  0.1960723003
## 529  -0.7049095198  1.4975417460 -0.3424672912 -0.44671341638 -0.3523277303
## 530  -0.6093486249 -0.6642127343  0.0776003318  0.82460019851 -0.0218273305
## 531   0.2708680005  2.1256986212 -0.0561375341  0.22297062886  0.3863229868
## 532  -0.2507291612  0.1718801938  0.1294024782 -0.69184510817 -0.1640341172
## 533  -0.2507291612  0.1718801938  0.1294024782 -0.69184510817 -0.1640341172
## 534  -0.0727174065 -0.6902704763  0.4280289240  0.00011251910 -0.7872301386
## 535   0.1193919671  0.4713312343 -0.1089510703 -0.54813753366 -0.4918020017
## 536   0.2708680005  2.1256986212 -0.0561375341  0.22297062886  0.3863229868
## 537  -0.6093486249 -0.6642127343  0.0776003318  0.82460019851 -0.0218273305
## 538   0.9085760273 -0.0464901500  1.1906252056 -0.00277049658  0.3345678821
## 539   2.0397993575  0.1790880081  0.5074581651 -0.25452999709  0.0509887643
## 540   1.7590705445 -0.4023199012 -0.2185131471 -0.80775789303  0.4931072972
## 541   0.2705841438  0.2647814968  0.1186692898  0.04150564895 -0.4359570506
## 542   2.2715750273  0.1863531498 -0.3430672832  0.80707593650  0.2860466195
## 543  -0.3897577323 -0.9053448080  0.4181981902  0.78416368724 -0.0181495855
## 544   0.0046537901 -0.8468910664  1.5680099505  0.32819467709 -0.4702352674
## 545  -1.7110654012  0.5054694095  0.3692016923  0.52054281164 -0.2560608335
## 546  -1.6524933409 -0.4370289331 -0.2749207090 -0.13811594402 -0.2318153429
## 547   0.1888654408  1.5354565220  0.1863351533 -0.04871643407  0.3047762946
## 548   0.1892312304  1.1073418613  0.4634474189  0.09213409975  0.1905171836
## 549  -0.8063675166  0.1846488273  0.8582623529 -0.32364955442 -0.6088877389
## 550  -0.1036308833 -0.3091049718 -1.0524706049 -0.92688837360  0.3404486602
## 551  -0.4004272959  0.3650200194 -0.7840900661  0.82250067323 -0.2594534553
## 552  -0.1125863910  0.2933413683 -0.0189750816  0.57658844316 -0.2819108866
## 553  -0.2338185755  0.0119689855  0.1233321116  0.80798320822 -0.3615034620
## 554   0.2966711470 -0.5754782713  1.6828523806 -1.46876413247  1.1358744561
## 555   1.0738408999 -0.8245083070  2.0799178195 -0.15766004315 -0.8699647267
## 556   1.0738408999 -0.8245083070  2.0799178195 -0.15766004315 -0.8699647267
## 557   1.4922779576 -1.1425485644 -0.0014757868 -0.42257297365 -0.4926102801
## 558   1.0690959779 -0.8303367370  2.1000331545 -0.16786025123 -0.8811083323
## 559   1.4922779576 -1.1425485644 -0.0014757868 -0.42257297365 -0.4926102801
## 560   1.8944249701  0.0692669667  1.4378095747 -1.34438298880  0.3278374926
## 561   0.3643476007 -0.8872508276  1.1020066107 -0.66433000994 -0.0928009765
## 562  -1.5446965763  0.0379047056 -0.3157162807 -0.32953876823  0.9559564108
## 563  -1.4195830616 -0.6040182641 -0.0198570312 -0.12755054408 -0.2786769794
## 564  -0.5881240288  0.5021436295 -1.0956013133 -0.49853337326  0.0050154331
## 565   1.8944249701  0.0692669667  1.4378095747 -1.34438298880  0.3278374926
## 566   0.3643476007 -0.8872508276  1.1020066107 -0.66433000994 -0.0928009765
## 567   0.9507555040 -0.3154568116 -1.0635840424 -1.08742545204 -0.1982119973
## 568   0.9507555040 -0.3154568116 -1.0635840424 -1.08742545204 -0.1982119973
## 569   1.5099406075 -0.3928115129 -0.7555338896 -1.63225293066  0.0528977534
## 570   0.3237481682  0.3050099454 -0.8689809804 -0.96777429270 -0.0022835987
## 571   0.8599679297  1.3999068593  1.0438504362 -0.31068319942  0.2069785102
## 572   0.3237481682  0.3050099454 -0.8689809804 -0.96777429270 -0.0022835987
## 573  -0.7103599822  0.1667517673 -0.6565258085  0.06672511225 -0.1467558347
## 574  -0.6128264835  0.2839931859  0.4124904828 -0.90474706970  0.3552133441
## 575  -0.4748320836  0.4699876605  0.0365108740 -0.11621315119  0.2460183992
## 576  -0.3682358848  0.8836744946  0.5167595883 -0.33169294431 -1.0205467235
## 577   0.0418809059  0.1608895095 -0.4186850384 -0.54048523235 -0.2896822353
## 578  -0.8319864949  0.2968228242 -0.4028422511 -0.43347280151  1.3382105651
## 579  -0.6295657735  0.0786473199 -0.2731591367 -0.44647848118  1.3758713080
## 580  -1.3608024688 -0.0346174525 -0.5749214910 -0.17917017826 -0.3924310016
## 581  -0.5556613527 -0.0297048268 -0.0934600857 -1.01914702701 -0.1759527519
## 582  -0.5556613527 -0.0297048268 -0.0934600857 -1.01914702701 -0.1759527519
## 583  -0.7391996211  0.1346995084 -0.3613396380 -0.82251849453 -0.0712412598
## 584  -1.3562281736 -0.2775777399 -0.1500589863  0.58248433498 -0.5762553636
## 585  -0.3082329498  0.8329377079  0.9553369600 -1.50702524863 -1.8563057835
## 586   0.2564869765  1.1810365234 -0.4012506546 -0.33023857099  0.5135693420
## 587   0.0122480230  0.7019130658  0.8555921959  0.59390292473 -0.1619872339
## 588  -0.8802352467 -0.6865679142  0.0285023160  0.04451486666  0.9852115126
## 589   1.1147700080 -0.0546772233  0.3263464957 -0.91604463875  0.5747607522
## 590  -0.4181053070  0.1164582460 -0.1800342416  0.91732204614 -0.0945518331
## 591  -0.5759840608  0.5532518550 -0.3329023535 -0.94028676048  0.5230499433
## 592  -2.0474671704 -2.2443063356 -0.7217486971  0.38732105646  1.7294988709
## 593  -0.5759840608  0.5532518550 -0.3329023535 -0.94028676048  0.5230499433
## 594   0.1423222652  0.8066847205 -0.6155231589 -0.72439895074  0.6966071937
## 595   0.1231421770  0.1461231578 -0.0272430731 -0.53487420761 -0.3624474692
## 596   1.8470114583  0.0210948951 -0.8253625511  0.34976241354  0.4294916352
## 597  -1.2443412986  0.1365732952  0.1681513429  0.20882652967 -0.1172658664
## 598  -0.7146003992 -0.6146198560  0.6402435790 -0.13221752278  0.1855276063
## 599  -0.5508827573 -0.5539372221 -0.4312874084  0.45808699486  0.0723260085
## 600  -0.6808147677 -0.2262688524  0.9461817439  0.29160330162 -0.5425378054
## 601   0.0235356378 -1.3509467632  0.3666378415 -0.16771025900  0.3089689425
## 602  -1.1591899165  0.2898375280  0.3853642447 -0.47555227042 -0.2906656785
## 603   0.3435864731 -0.2230165426  0.1297731131  0.55875456194 -0.2379530914
## 604  -1.1591899165  0.2898375280  0.3853642447 -0.47555227042 -0.2906656785
## 605  -0.3371019139  0.0214091428 -0.2686225427  0.80003856821  0.0151921163
## 606   0.0949199740  0.5799865952 -0.2864597716  0.34913000458 -0.0205462997
## 607   1.8563126703  0.1689352829  0.2579873144 -0.05476183612  0.1180084511
## 608   0.0780779752 -0.0499432239 -0.3687110723 -0.84400463098 -0.4100443671
## 609   1.9026270255  0.4719310163  0.4369643046 -0.75698765958  0.5863030994
## 610   1.1580326460  0.1401936052 -0.6594966874 -0.84523173455  0.0452774542
## 611  -1.0028576625  1.2740603878 -1.2668946277 -1.08574461818 -0.0170917048
## 612  -0.8218995503 -0.1363423443 -0.1325995437 -0.03150420001 -0.3840969365
## 613  -0.0055332467  0.0262356247  0.0968103736  0.51437797900 -0.7691286817
## 614  -0.9116657496  0.6853465967 -0.1962524256  0.53231871034  0.2457777874
## 615   0.2218777789 -0.9682661971  2.3186723447  2.78424293074  0.8891938085
## 616  -0.3424936968  0.9533016977  0.5120765632 -1.92427844055  0.2521406293
## 617  -0.3424936968  0.9533016977  0.5120765632 -1.92427844055  0.2521406293
## 618  -0.7645026505  0.5437197294  0.5356222117  0.89239048501 -0.4459140971
## 619   0.3359306512  0.1276787454  0.1326505178 -0.43226193040 -0.0521364116
## 620  -0.5336374729  0.6351067807  0.0806644955  0.70344646936 -0.2965561070
## 621  -0.4338611556  0.0336418738 -0.2214291618  0.50611390005  1.1103070503
## 622  -0.2760114533  0.0709374383 -0.2092991105  0.53198592626  1.1033580688
## 623  -0.8764072237 -0.4854583563  0.0540306199  0.47668462990 -0.2798050825
## 624   1.3877427742  0.9911302871  1.3352819732 -0.26236576154 -0.0901151638
## 625   2.4895479585  0.7592161034 -0.1184224119  0.15552170663 -0.2923167079
## 626   2.4895479585  0.7592161034 -0.1184224119  0.15552170663 -0.2923167079
## 627  -0.0867368189  0.5205277079 -0.5796120646 -0.61434050015  0.1261966892
## 628  -0.0867368189  0.5205277079 -0.5796120646 -0.61434050015  0.1261966892
## 629  -0.1777337548  0.2338035253 -0.5196286157  0.20350378276  0.1488123874
## 630  -0.7166601404 -0.7394440855 -0.1573441186  0.32986902582  0.4008837829
## 631  -0.1777337548  0.2338035253 -0.5196286157  0.20350378276  0.1488123874
## 632  -0.2318369152  0.8011386876 -1.0191325902 -0.43800312815  0.1740481856
## 633   0.0065030536  0.1014326672 -0.7080594477  0.17943473605 -0.6559407138
## 634   1.5985154691 -0.3897991776  1.9674227474 -1.28411182469  1.0023032841
## 635  -1.9283694460  0.3074305519 -0.3700622473 -0.13532312720 -1.0288052478
## 636  -0.8621928538 -0.8070810955  0.9814813852  0.33920413546 -1.0662733054
## 637  -1.1425121140 -1.2129911018  1.2260574522 -0.50166816609  0.9867313277
## 638  -1.2010672953 -1.2097596371  1.2590366628 -0.48844336593  0.8915159711
## 639   0.9107151499 -0.9445374787  0.4631999167 -0.21761084331  0.0908372207
## 640  -0.3017703985  1.8370646010  1.6060163709  1.75996330168 -0.2935411536
## 641  -0.3372798648  0.9735851035  0.2292354214 -0.90611131464  0.1822785268
## 642  -0.3437880323  1.0222622382  0.5162602801 -1.21514661245  0.5184716171
## 643  -0.3372798648  0.9735851035  0.2292354214 -0.90611131464  0.1822785268
## 644  -0.3437880323  1.0222622382  0.5162602801 -1.21514661245  0.5184716171
## 645  -0.3372798648  0.9735851035  0.2292354214 -0.90611131464  0.1822785268
## 646   2.7357683210  0.3903497863 -0.6862858955  0.76725743072 -0.1892276330
## 647   1.3190580671  0.1856687087 -0.3377559690  0.34828825984 -0.0516910961
## 648   0.6816997347 -0.7409221003  1.0448105929  0.30583222333 -0.1979346135
## 649   0.4276612149  0.0307004113  0.1572285963  0.09147621087  0.0547985742
## 650   1.9278773943 -1.5631720526 -1.5268305158  1.97322285828  1.2444432392
## 651  -1.1865610241 -1.1315854132 -0.6538887577  0.61766145866 -0.4301298290
## 652   0.2045883262 -0.4388223534  2.4294727252 -1.74174540706  0.8382300293
## 653   2.8961051560 -2.5664280875  1.7472360724  0.03418805087 -0.6651849907
## 654   0.0197221808 -0.8880988932 -0.4369036695 -0.39296964042  0.1881545578
## 655  -0.9055928100 -0.4771930244 -0.9781114356  0.29219736092  0.2746384650
## 656  -0.3231455060  0.2908655769  0.2527591829  0.31015491883 -0.6758855162
## 657  -1.1865610241 -1.1315854132 -0.6538887577  0.61766145866 -0.4301298290
## 658  -1.5688174341 -1.1431885824  1.0308360747  0.03994898512 -0.7123334492
## 659  -0.2203695028  1.1424964777  0.2037385912  0.96587663770  0.0326106753
## 660   2.1824656869 -0.5596930208  0.1374485939  0.29373295206 -0.0484285224
## 661  -0.2203695028  1.1424964777  0.2037385912  0.96587663770  0.0326106753
## 662  -0.9943546909  1.0365568392 -0.6680227407  0.04796315596  0.1165979010
## 663  -0.2357980114  0.8547527398  0.0728379383  0.54049212334 -0.0670157231
## 664  -0.9451575223  0.3810718620  0.0421043685  1.12167136396 -0.1046712864
## 665  -0.9913423479 -0.2551035539  0.5160853288 -0.27998914140 -0.1775758518
## 666  -0.9357037492 -0.3856061690  0.3310275796  0.23163944213 -1.0567384546
## 667   0.1010878241 -0.6761238810 -1.6136374781 -0.77791859004 -0.2573091629
## 668  -1.2422205374 -0.0450885861 -0.3489459044  0.87672718252 -0.4497251449
## 669  -0.2547713746 -1.3333536604  0.9792433260 -0.10340580202 -0.1108942239
## 670  -1.2422205374 -0.0450885861 -0.3489459044  0.87672718252 -0.4497251449
## 671  -0.7304062434  0.0621744659 -0.8745237354  0.21617037264 -0.9265250005
## 672  -0.5193101526 -0.5575986619  0.0122574471  0.43918319254 -0.0020888975
## 673  -1.1468581103 -2.3455705348  2.5032309446 -0.57136471464  1.2082984371
## 674  -0.5193101526 -0.5575986619  0.0122574471  0.43918319254 -0.0020888975
## 675  -0.7920375119  0.2127386830 -0.2453363227  0.53109381645 -0.3031936052
## 676  -0.3967192695  0.6206679647 -0.0002018085 -0.10214113868 -0.0154742560
## 677  -0.7920375119  0.2127386830 -0.2453363227  0.53109381645 -0.3031936052
## 678   0.2294207858 -0.1781954044  0.4317294885 -0.55026139314 -0.1427364079
## 679  -0.2470328327  0.1418585406  1.0181315267 -1.27009284656 -1.0381865661
## 680  -1.0315879023  0.0479700127 -0.8373645308  0.31689310944 -0.4764464445
## 681  -1.6383763002 -0.0024416699  0.1915893480 -0.68478067234 -0.3595903824
## 682  -0.6113062985 -0.5035897572 -0.8822718000  0.12298115270 -0.5902882212
## 683  -0.8514916477  0.4457597925 -0.2275405542 -0.72422998430 -0.7525301941
## 684   0.8726459389 -0.5209855144  0.7733254686 -0.22773915998  0.2837257721
## 685  -1.2865898436 -1.4854491276  1.5749189670 -0.85869264050  0.9131576444
## 686   0.8726459389 -0.5209855144  0.7733254686 -0.22773915998  0.2837257721
## 687  -0.4216127520  0.7910505324 -0.1089649664 -0.08423733582  0.3132626173
## 688   0.4156517878  0.2939984631  0.1509531062 -0.21279591932 -0.1501872222
## 689  -0.5258759977  0.4116667976 -0.1157408852  0.37063749787 -0.0474488590
## 690   0.3497628663  1.3292748294 -0.4028930950  0.20078150634  0.4464055154
## 691   2.7254948896 -0.6727217424  1.0911468034 -0.64310713146  0.3878572909
## 692   0.4044892120  0.0111040773  1.2430795777 -1.21797742688  1.3290429160
## 693   1.0569061093 -1.3009106254 -1.6898401656 -0.82300972504 -0.1986302947
## 694  -0.8112401076  0.3939632061 -0.0510525537 -0.23542501546  1.0552287733
## 695  -0.9689695574  0.3592734193 -0.0408736870 -0.27564523062  0.8864258745
## 696   0.5837296041  0.9482118486  0.3150546966 -1.18279952275  0.3790708257
## 697   0.2371656476  1.0895185871  0.1594840322  0.35795577203  0.0930799812
## 698   0.2371656476  1.0895185871  0.1594840322  0.35795577203  0.0930799812
## 699   0.0568319574  0.2588243293  0.1781828770 -0.60526799687  0.2315708785
## 700  -0.5135366718 -0.2516162991  0.2788624233 -0.26702712812 -0.0058777319
## 701  -0.3488839687 -1.9452627402  1.8662601980 -0.26572574938  0.2816726463
## 702   0.2371656476  1.0895185871  0.1594840322  0.35795577203  0.0930799812
## 703   0.1789453180  1.1081421363  0.0784464010  0.37980704870 -0.0075172434
## 704  -0.7574413630  0.7542788511 -0.5424727848 -0.06110559959  0.7795885725
## 705  -0.1423648876 -0.1274228416  0.6078608177  0.15397321714 -0.2557696004
## 706   2.2902341048 -0.7263164375  0.5693323216  0.18418915248  0.5671195247
## 707   0.1210207641 -0.5620629911 -0.2023395894 -0.17097152759 -0.1335265606
## 708   0.1862675949  0.0698225971 -0.6632047763 -0.10175135803 -0.2272087233
## 709   0.4317102398 -0.3518185368  0.2746966099  0.20907053598 -0.1079016394
## 710  -0.9561707438  0.9289172590 -0.1473661090 -0.34557823561  0.0301496496
## 711  -0.2969621255 -2.0161606538  1.8089525747 -0.16391227884  0.4852469605
## 712  -0.1739137594  0.6035420332  0.1156748092 -0.67316447292  1.3110441155
## 713   0.3963396698  0.3060630458 -0.1071758704 -0.10943091894 -0.5285583045
## 714  -0.7210725015  0.4623435704 -1.0736893394 -0.37940058256  0.5445143066
## 715  -0.4728745411 -0.6107396991  0.6769302473 -0.51578518936  0.1782817898
## 716  -0.5310761423  0.2795227056 -1.0980803371  0.46931463299 -0.1282201140
## 717  -0.7210725015  0.4623435704 -1.0736893394 -0.37940058256  0.5445143066
## 718  -0.3985092750 -0.0933994637 -0.6160964493  0.82225639187 -0.1091327337
## 719  -0.5971084405 -0.1911190367 -0.5105458873  0.36211811088 -0.6602182670
## 720   0.8605717600  0.5616275542 -0.4596525501  0.14695278631 -0.2536602311
## 721  -0.5971084405 -0.1911190367 -0.5105458873  0.36211811088 -0.6602182670
## 722  -1.3925722675 -0.4730216461 -0.3593189365  0.24852700015 -0.5134110159
## 723  -0.3724582134  0.0265574247 -0.6956573756  0.86622121781 -0.4024298963
## 724  -1.1093612405  1.6596330560  2.0570381826  3.70086359490  0.3093539678
## 725   1.9858971867 -0.9388124586  1.3916105503 -0.51943580144  0.4322246087
## 726   0.6187160030 -0.2615861794  0.1374039412  0.17344549207 -0.1664918271
## 727   1.0996968601  0.5028517287  1.2614663031 -0.43990216509 -0.1705781608
## 728   0.1522595378  1.3121896771 -0.2234375546  0.53698658834  0.0872477026
## 729   0.1522595378  1.3121896771 -0.2234375546  0.53698658834  0.0872477026
## 730   1.4829822782 -1.0284165807  1.0466439094 -1.13317955697 -0.2419393963
## 731   1.0432816859 -2.0233268060 -2.3988920745 -2.61338446111 -0.1322779997
## 732   1.9295896553 -0.3882408518  1.0382022906 -0.86553559669  0.0657484370
## 733   0.1699662149 -0.3759099163  0.0019979834 -0.10872187930 -0.2311039309
## 734  -0.0356770033  1.4052431180 -0.7360881927 -0.84438788905  0.9485018976
## 735  -0.0650963789  1.3799405837 -0.1210281190 -0.41983909341  0.4573843269
## 736   0.1148334036 -1.2637743349  0.2945171357  0.08554018254 -0.2230268802
## 737   0.1148334036 -1.2637743349  0.2945171357  0.08554018254 -0.2230268802
## 738   0.2807196519  1.6001351959  0.3160532563 -0.50798237738 -0.2634399290
## 739  -1.2868351832 -0.3275241963 -0.3628488290  0.46054931706 -0.1551097612
## 740  -0.0043948228  0.5739701824  0.5132636625 -0.04144707903 -0.7951457883
## 741   1.9448551009 -0.2931760424  0.6926829686 -0.27635259798  0.0375769192
## 742  -1.3599879699 -0.3454836600  0.2302973503  0.08797103187  0.6738303985
## 743   0.0044690538  1.2730173763 -0.1409343351  0.45796582920 -0.1060803417
## 744  -1.0529246448 -0.3421017683  0.0949988126 -1.01894640675  0.2959700754
## 745  -1.2407581411 -0.1524340115 -0.2788047239 -0.74134736397  0.5171147299
## 746   0.1501780407  1.7071560927 -0.0525907021 -0.13809675570  0.1432802983
## 747  -0.9787374085  0.6408375040 -1.4302549895 -0.20441932918  0.4960110125
## 748  -0.9369335425  0.4611385038 -1.2075626169 -0.41513413957  0.4198869577
## 749   0.1414070247  1.6461294146 -0.1038172802 -0.16299506443  0.1926443301
## 750   0.1501780407  1.7071560927 -0.0525907021 -0.13809675570  0.1432802983
## 751   0.0461298099  0.0518136731 -0.0963647750  0.18260022719 -0.4765278112
## 752   0.0461298099  0.0518136731 -0.0963647750  0.18260022719 -0.4765278112
## 753  -0.3068181103  0.6682787605 -0.2820801394 -0.21128040478 -0.2582829338
## 754   0.0461298099  0.0518136731 -0.0963647750  0.18260022719 -0.4765278112
## 755   0.9511218425 -1.4708385626 -2.3343167595 -1.36721559969 -0.1456592318
## 756  -0.0237909565 -0.8020438071  0.9569797871 -0.85186215115 -0.2052467529
## 757   0.7284997671 -0.6769243258  0.9799204995 -0.77176149970  0.1644773625
## 758  -0.0274660209 -0.9758716434  0.4742865130  0.48091493918 -0.2677717992
## 759  -0.0274660209 -0.9758716434  0.4742865130  0.48091493918 -0.2677717992
## 760  -1.3470394141  0.0665327223 -0.5367176509 -0.04042870454 -0.7061701359
## 761  -0.5855175100 -0.3391533463  0.0612459166  0.38183647037  1.2976029432
## 762  -0.5214151840 -0.6806766790 -0.3621646618 -0.32401658392  0.2715136013
## 763  -0.2477347974 -0.1687843485  0.4641376223  0.27420249088 -0.4611873713
## 764  -0.5214151840 -0.6806766790 -0.3621646618 -0.32401658392  0.2715136013
## 765   0.1804718492  0.1294957916  0.1622451256 -0.04387381412 -0.0845214183
## 766   0.2043018670  0.1184492793  0.1286154282 -0.01195305611 -0.1109814946
## 767  -0.5890672744 -0.6461677663 -0.3171664783  0.74667124065  0.3411107400
## 768   0.0778744685  0.7838318640 -0.1410818006 -0.77522789414  1.4454198186
## 769  -0.3255040438  0.7841514490 -0.0649699242 -0.64954712885  0.2988560185
## 770  -0.1229241564  0.0870932382  0.1534761680  0.20907386057  0.0583292827
## 771  -0.3255040438  0.7841514490 -0.0649699242 -0.64954712885  0.2988560185
## 772  -1.1649557236 -0.5535061928  0.6077500198 -0.28022970177  1.2433767955
## 773  -1.3875429668 -0.3289876557  0.3033027425 -0.24607680632  1.1763430725
## 774   0.1537198168  0.8571064893 -0.5878517863  0.40483620938  0.7950477791
## 775   0.1302363737  0.8558374797 -0.6067533543  0.31179838016  0.7796352994
## 776   1.0969736624 -1.0024580469  0.2199880983 -0.09587178890 -0.0259275790
## 777   1.2583420372 -1.3692081787 -1.0695166500 -1.13571257939  0.5294619013
## 778   1.2723509069 -0.9556430411 -1.5439102811 -1.09068388542 -0.1527208180
## 779   0.6351113791  0.5458333899 -0.5496732680 -0.04086027943  0.3399910872
## 780  -0.1900808870  0.9305277612 -0.1245029260 -0.15642241271  0.3929315602
## 781   0.1067516813 -0.3511677299 -1.2032333409 -0.09338416304 -0.3691409979
## 782   0.7148114716  1.6637850410 -0.8855101941 -0.86450688424  0.4745326980
## 783  -0.3132441110 -0.4677273138  1.1263257014 -0.47092013287  0.0033427150
## 784   0.7148114716  1.6637850410 -0.8855101941 -0.86450688424  0.4745326980
## 785  -0.0085482610  0.9501860466  0.0592957030 -0.36696533372  0.3879285247
## 786  -1.0743239473  0.1540477635 -0.8024679487 -0.24300361148  0.3897482558
## 787  -1.0743239473  0.1540477635 -0.8024679487 -0.24300361148  0.3897482558
## 788  -0.6453876954 -0.2046933728  0.4876793908 -0.16033717645 -0.3758147096
## 789  -0.6453876954 -0.2046933728  0.4876793908 -0.16033717645 -0.3758147096
## 790  -1.0112057549 -1.0135813546 -0.1186845664  0.62229529737  0.5478036900
## 791  -0.6147680710  0.6757128031 -0.7176925178 -0.02649885869  0.8730721830
## 792  -0.8393286807 -0.5375033260  0.3294028325  0.09037503013  0.6696695604
## 793  -0.0757632585  0.6801134372  0.0376204213 -0.06726879621  0.5617287650
## 794   0.5050687141  0.1120110915  0.1217623587  0.47107330536 -0.3646857512
## 795  -0.2999751137 -1.1489912289 -0.3396668778 -0.32013456676  0.1126355390
## 796   0.7830385079 -0.9509986874  2.4966073698  1.61354735601  0.5450317502
## 797  -0.6413250426 -0.2925913102 -0.3084616645  0.49215012997 -0.4637892536
## 798  -1.0049393338  0.2880835449  0.6334068007  0.42014066440 -0.1837472449
## 799   0.8344394965  0.0233173152 -0.3989141282 -0.30315590028 -0.0235691414
## 800   0.8344394965  0.0233173152 -0.3989141282 -0.30315590028 -0.0235691414
## 801  -0.2971590250 -0.5748816186 -0.5929613077  0.78415740775  0.2301075298
## 802   0.1602840280 -0.2881515635 -0.6195189833  0.58178180470 -0.5346402592
## 803   0.6823878543  0.0810099514  1.4514180737  0.77184527547  1.1273282563
## 804  -0.0855362562 -0.0242115445 -0.3761640815  0.63202393855 -0.2902628272
## 805   0.0686334983 -0.0280910481 -0.5941038681  0.45917452290  0.0336138017
## 806   0.4391319783 -0.4093794001 -0.2045467780  0.26437468578  0.2228962376
## 807  -0.0337155132 -0.2798907914 -0.1277999229  0.53843963599  0.1330961291
## 808   0.4391319783 -0.4093794001 -0.2045467780  0.26437468578  0.2228962376
## 809   0.3806332882  0.5032073365 -0.6325462556  0.72103928387 -0.2165397795
## 810   0.0743694125 -0.1154368468 -0.7683613187  0.51530690121  0.1830694241
## 811   0.0451664826 -0.2706182812 -0.8860467635  0.57804014703 -0.1330027238
## 812   0.0900837522 -0.2919780414  1.0653537528 -0.33476257694 -0.1008083961
## 813  -0.0064968987  0.0257914271  0.5447908596 -0.40004107419 -0.7354622190
## 814   0.4678411253 -0.0327483916 -1.0252821991 -0.29979026029  0.0790563622
## 815   0.2476560660 -0.0202241120  0.9681112542 -0.95413675000 -0.4963008720
## 816  -0.0064968987  0.0257914271  0.5447908596 -0.40004107419 -0.7354622190
## 817   0.3912083174 -0.0735195447  0.0219473956  0.24502556449 -0.2785727632
## 818  -0.4545696015 -0.2249261917  0.4311709485 -0.54833022509 -0.7300617966
## 819  -0.5840677402 -0.4253507536 -0.2194677655  0.43168513282 -0.5753496567
## 820   0.3424925948  0.0810157107  0.0663931997 -0.05500803908  0.3100491279
## 821   0.0123375492 -0.0776364682 -0.1886765980  0.48882339722 -0.2724851931
## 822   1.2498594209  0.0731564139  0.4377338784 -0.21769895517  0.1729294191
## 823   0.2131555161  1.5479821211 -0.1921862128 -0.65333713333  0.1423534431
## 824   0.2131555161  1.5479821211 -0.1921862128 -0.65333713333  0.1423534431
## 825   0.0582877200 -0.0642563211 -0.8712863395  0.49805967630  0.0973351666
## 826   0.0768743089 -0.0350801080 -0.7733922677  0.02052533447 -0.2699959100
## 827   0.0064506892  0.7323311690 -0.8733212257  0.23445275855  0.2474730877
## 828   0.0768743089 -0.0350801080 -0.7733922677  0.02052533447 -0.2699959100
## 829   0.5250419900 -0.4371657524  1.2507716790 -0.34979328577 -1.2011754452
## 830   0.6631634211  0.4800026381  0.2933079833  0.17936856169 -0.0979563947
## 831   0.6323613274 -0.1696061982  0.2583345513  0.27759038585 -0.1073154118
## 832   0.6631634211  0.4800026381  0.2933079833  0.17936856169 -0.0979563947
## 833  -0.4277440109  0.8999355845  0.5691339560 -1.37068042036 -1.0617965365
## 834  -0.4390363120  0.7360313181  0.8872022254 -1.58143269990 -1.2079199268
## 835  -0.7113473516 -0.2644711088 -0.0972966759 -0.58031732093 -0.4091145184
## 836  -1.0724009114  0.2162670094  0.1468568427 -0.28654809355 -0.5450963286
## 837  -1.8981925483 -1.5164076669 -0.9452432613  0.54316132737 -0.1860830169
## 838  -1.8981925483 -1.5164076669 -0.9452432613  0.54316132737 -0.1860830169
## 839  -0.3382862669  0.4260035433  0.5070657569  0.26297172120 -0.1262320611
## 840   0.0204687542  0.5116285777 -1.1080789767 -0.20128056834 -0.3016054377
## 841   0.5390417508 -0.3617829699  0.8691706803 -0.36657263906  0.0959229809
## 842   0.8595276051  0.1236159774 -0.2346073074 -0.06190132913 -0.7504474071
## 843  -0.2938689220 -0.6319370461  0.6082178111 -0.84388605750 -0.7992998017
## 844  -0.7327826784 -0.4372974113 -0.1203735283  0.23877294620  1.6368576269
## 845  -1.1743202507  0.4123070949  0.2711544303  0.33640142559 -0.7172801487
## 846   0.2547348666  1.1934996152 -0.0087786104 -0.71665042853  0.3541820232
## 847   0.2547348666  1.1934996152 -0.0087786104 -0.71665042853  0.3541820232
## 848   0.2294839075  0.9642756836  0.5576306892 -0.38023987275  0.3498326915
## 849   0.2547348666  1.1934996152 -0.0087786104 -0.71665042853  0.3541820232
## 850   0.1397649135  1.1892776665 -0.0105594342 -0.67110320706  0.4790295711
## 851  -0.7654669741  0.2714863285 -0.7253411664 -0.36086662144  0.0955006493
## 852  -0.7654669741  0.2714863285 -0.7253411664 -0.36086662144  0.0955006493
## 853  -0.5970412257  1.1244720331  0.9466585881  1.10790834622  0.8707315518
## 854  -0.7966090895  0.8588199426  0.5515165828 -1.39570451872 -1.1635982170
## 855  -0.7966090895  0.8588199426  0.5515165828 -1.39570451872 -1.1635982170
## 856   1.2855110471 -0.0373316947  1.0268220866 -0.01465829835 -0.2463606579
## 857  -0.7966090895  0.8588199426  0.5515165828 -1.39570451872 -1.1635982170
## 858   0.0942666061  0.8004484271 -0.2020722918 -0.03517893751  0.1082373062
## 859  -1.2488011363  0.0536341332  0.3108652844 -0.01487662134 -0.5892477486
## 860   0.2663327196  0.1480661176  0.4692679013  0.36456483067 -0.0718744072
## 861  -0.0464377714  0.6979654619 -0.1859509803 -0.25062495748  0.7488908243
## 862   0.4074960712 -0.9159400212  1.2682676857 -1.62926479116  2.6643987409
## 863  -0.3112692602 -0.3382763772 -1.1816916102  0.22721431966  0.1633871644
## 864  -0.1162393772  0.6149279631 -0.0980502618 -0.40341944931  0.5976012356
## 865  -0.0464377714  0.6979654619 -0.1859509803 -0.25062495748  0.7488908243
## 866  -0.0375476672  0.5968796140 -0.0487469394 -0.36024683246  0.7297995453
## 867   0.5187456821  0.3305796790  0.2176266732  0.52891989723  0.0143520208
## 868   0.3614999010  0.3101120058  0.3342473423  0.49688246481 -0.0034474717
## 869   0.2663327196  0.1480661176  0.4692679013  0.36456483067 -0.0718744072
## 870   0.0423787750  0.0223995233  0.6067141697 -0.26596378043 -0.9081045412
## 871   0.0333357041 -1.0596092332  0.9409812077 -0.17750257342 -1.1685197823
## 872  -0.4780405353  0.3349647365  0.1090150865 -0.83978726437 -1.2943881293
## 873  -0.9141486773  0.7154716153 -0.8184109184 -0.43552903796 -0.6186693579
## 874  -0.7769034939  0.0183306117 -0.8254510221  0.13560230700 -0.2508238355
## 875   0.0217063088 -0.9568982481 -0.0169684018 -0.15075788349 -0.3194856883
## 876   0.8383027238  0.0922065509 -0.3150550272 -0.06376744786 -0.0173217231
## 877   0.2157977202  0.2037459717 -0.4189648784  0.51964313255 -0.3613316940
## 878   0.0333357041 -1.0596092332  0.9409812077 -0.17750257342 -1.1685197823
## 879   0.1132236055 -0.6430510759 -0.2065136632 -0.00472119583 -0.7794008167
## 880  -0.1927267850  0.8441480713 -0.1149005385 -0.34436878886  0.5957875972
## 881  -1.0081238237 -0.8512269486 -0.2677200845  0.49089468809 -0.5308567628
## 882   0.3624976229 -0.1560999619  1.1068083231 -0.36471000165 -1.1697404399
## 883   1.1487977375 -0.9937342605 -1.0102751585 -0.15881680653 -0.7357649756
## 884  -0.1927267850  0.8441480713 -0.1149005385 -0.34436878886  0.5957875972
## 885   0.1132236055 -0.6430510759 -0.2065136632 -0.00472119583 -0.7794008167
## 886   0.6468831398 -0.0874673033  0.8613228817 -0.12534258049 -0.0300400530
## 887   0.6434130709 -0.1237281419  1.0735560594 -0.03519762064 -0.0171293349
## 888  -0.1329446433 -1.0648024395  1.4754614314  0.13232530250 -0.8107700953
## 889  -0.0819492241 -0.3242874330  0.1594405556 -0.10996930130 -0.8698794206
## 890   2.1076395570 -0.1316509489  1.0019895821 -0.14155262941  0.4520315112
## 891  -0.8545931299  0.7943680529 -0.7281648187 -0.45649636869 -0.6525791632
## 892  -0.0750395901  0.6824693398  0.1793457627 -0.36520143881  0.7013443846
## 893  -0.7012790024  0.5179075102 -0.1153684712  0.35292702603 -0.5470336439
## 894  -0.0750395901  0.6824693398  0.1793457627 -0.36520143881  0.7013443846
## 895  -0.1339780876  0.7277106358  0.1705900379 -0.40771749224  0.6504652389
## 896  -0.0247210158 -0.0526100511  0.0874613025 -0.07834506551 -0.9542517887
## 897   0.2224204077 -0.3940368513  0.1134321421  0.00487437075 -0.0400941534
## 898  -0.0247210158 -0.0526100511  0.0874613025 -0.07834506551 -0.9542517887
## 899   0.2224204077 -0.3940368513  0.1134321421  0.00487437075 -0.0400941534
## 900   1.9360444754 -0.4664444204  1.1950630981 -0.72493399884 -0.0879523853
## 901   0.2423300724  0.3307395370 -0.0122977670 -0.16472803301  0.3204808525
## 902   0.8874777255  0.9576465201  0.5766900306 -0.66721642787 -0.1035628257
## 903   0.8874777255  0.9576465201  0.5766900306 -0.66721642787 -0.1035628257
## 904   2.2907380651  0.1293328631 -0.7361141884  1.04201525130 -0.2920536528
## 905   2.2907380651  0.1293328631 -0.7361141884  1.04201525130 -0.2920536528
## 906  -0.6320501882 -0.2598882116  0.1485763336  0.40268148857  1.0073142698
## 907   0.2944769302  0.0378017492  0.1686867001 -0.00200377335  1.0294889258
## 908   0.9276367324  0.2692979399 -0.3952769073 -0.34721111359 -0.0670857014
## 909  -0.3020739371 -0.0311084939  0.0374692151 -0.40769020645 -0.8870020635
## 910  -0.8813616139 -0.5651373640 -0.9810312950  0.04293188530  0.0904157109
## 911   1.6084527805 -1.6117605268 -0.6919068563 -0.62127657706  0.0193068488
## 912   3.5874330625 -0.0693810869 -2.2988584124  1.03025545642 -0.0892447569
## 913   0.8634038162 -0.3526623271  0.3529039954 -0.52670867523  0.1197202715
## 914   1.7363647195 -0.6623607250 -0.5451081323 -0.00664083455  0.1434854427
## 915  -0.8813616139 -0.5651373640 -0.9810312950  0.04293188530  0.0904157109
## 916   0.2324342891 -0.3071526200 -0.4383243422  0.11603759391  0.0686091916
## 917   0.7001624147 -0.5798048843 -0.5769105273 -1.20633208165  1.2925559150
## 918   3.1186385487  0.7803668335 -1.8339283899  0.87606290482 -0.4422724565
## 919  -0.6744933953  0.1377002426  0.1900524917 -0.24602670628 -0.4181343125
## 920   0.0956029149 -0.0717979755  1.7844950636 -0.03237539927 -1.4251786600
## 921  -0.2279226959 -0.0210700320 -0.4045874919 -0.36198709585 -0.2323613694
## 922  -0.6744933953  0.1377002426  0.1900524917 -0.24602670628 -0.4181343125
## 923   0.0956029149 -0.0717979755  1.7844950636 -0.03237539927 -1.4251786600
## 924   3.1186385487  0.7803668335 -1.8339283899  0.87606290482 -0.4422724565
## 925  -0.1387326407 -0.3077313371  0.5645348742  1.05291950899 -0.3189082034
## 926  -0.9532584584  1.4279268120  0.6064745899 -0.87052093399 -1.4925641132
## 927  -0.7952941315  2.0829127922  0.7594975189 -0.77871429387 -1.6137493482
## 928  -0.7063157142 -0.4380934459  0.0184079816  0.50954515613  0.6256535326
## 929  -0.1387326407 -0.3077313371  0.5645348742  1.05291950899 -0.3189082034
## 930   0.6732679215 -0.2084068059 -0.1941962101  0.42263866969 -0.0755603714
## 931   0.9916806040  1.7182563065  0.4214127074 -0.61754736206  0.2787365079
## 932   0.1110022600  1.0113271071  0.2428944183  0.00450204257 -0.0977164995
## 933  -0.9653025926  1.0518381699 -0.5371052089 -0.72885805780 -0.2384937739
## 934   0.1110022600  1.0113271071  0.2428944183  0.00450204257 -0.0977164995
## 935   0.9916806040  1.7182563065  0.4214127074 -0.61754736206  0.2787365079
## 936  -0.2592460087  0.2065806881  0.2119982841 -0.31338288805  0.4045581665
## 937  -0.2592460087  0.2065806881  0.2119982841 -0.31338288805  0.4045581665
## 938  -0.9136790899 -1.0106503093  1.0221279844 -0.19451141536  0.0945198924
## 939   0.4776629529 -0.7534391828  0.0828936639 -0.04119158009 -0.2366472472
## 940   0.3338623703  0.4728721695 -0.6547191051 -0.72596742017  0.2064982934
## 941   0.2983675457 -0.1448847785  0.3507282583 -0.59864047360  0.0608063459
## 942   1.2282799478 -1.3358243559 -1.1121594186  0.16279733668 -0.2776503811
## 943  -0.3695818037  0.1414998095 -0.1167903501 -0.17487135624  0.1390736144
## 944  -0.3965384823  0.1837401496 -0.1107301136 -0.22096410184  0.1738437649
## 945   0.8604604276 -0.6425075840 -0.8984664306  0.00005068475  0.0550862003
## 946  -0.2817158495 -0.4750666848  0.5323482818  0.63986253157 -0.0290120711
## 947   1.7544136947  0.2702326904  0.8942674312  0.02697564855  0.2328668144
## 948   0.1090326161 -0.8772147399 -0.7591972010 -0.22014345472  0.0923261910
## 949  -0.0757837066  0.8513971875 -0.4551157963 -0.46963937506  0.0275751423
## 950  -0.0757837066  0.8513971875 -0.4551157963 -0.46963937506  0.0275751423
## 951  -0.0757837066  0.8513971875 -0.4551157963 -0.46963937506  0.0275751423
## 952   0.1090326161 -0.8772147399 -0.7591972010 -0.22014345472  0.0923261910
## 953  -0.0651073256  0.2959432775 -0.4842184258  0.25109392301  0.1179907256
## 954  -0.1548231937 -0.6896453891  0.2327746771  0.25926138708 -0.0083954356
## 955   0.8579055195 -0.3320583561 -0.5754749736 -0.80449542388  0.2874720293
## 956  -0.4560596582  0.8692665565 -1.0695388727 -0.50831164836  0.2919151579
## 957   0.1423575901 -0.3515828621 -0.7456350356 -0.68235493781  0.2080714860
## 958  -0.5416618690 -0.4084860903 -0.3485486843 -0.72974042309  0.4939030287
## 959   0.6698369531 -0.0438431784 -0.0217725856 -0.45738660486 -0.6930837562
## 960  -0.0258428971  0.3439418592  0.0606427459  0.10049385679 -0.3331994674
## 961  -0.4537218815 -0.2605334031  0.7761258677  1.08388497995 -0.3769131988
## 962  -0.6334064883  0.2288801468 -0.5177690619  0.79280462911 -0.0523686841
## 963   0.3221228201  0.6182560786 -0.6144720708  0.55133270586 -0.1601100680
## 964  -0.6068993190 -0.4577411059 -0.5528218666  0.19273391176 -0.8115167562
## 965  -0.4537218815 -0.2605334031  0.7761258677  1.08388497995 -0.3769131988
## 966  -0.1824430580  0.6470735950  0.2726554147  0.19346474746 -0.1989057196
## 967   0.1607009198 -1.1433458076 -0.5320922477  0.02489740163 -0.2707977748
## 968  -1.4672614536 -1.0786599353 -0.0700966344  0.23506552370  0.4594039802
## 969  -0.4957302177 -1.2692238472  0.1502846793 -0.23767039936 -0.7920991973
## 970   0.7300163320  0.6759165272 -0.4848284762  0.20731585370  0.1197838335
## 971  -0.0228301335  1.1991931025  0.3472445344 -0.06069397394  0.0532085457
## 972  -0.0228301335  1.1991931025  0.3472445344 -0.06069397394  0.0532085457
## 973   0.2494025607 -0.6140560596 -0.2164604676 -0.42830539184 -0.0373138595
## 974  -0.0277628874  0.9790007873 -0.6018160566 -0.99415822129  0.3945304778
## 975   2.1926230016 -0.2469912438 -0.9435656102  0.38229290998 -0.0535157659
## 976  -1.0908108523  0.8144099383 -0.8159877304 -0.90645899696 -0.4668366965
## 977  -1.0908108523  0.8144099383 -0.8159877304 -0.90645899696 -0.4668366965
## 978  -1.3298919064 -0.7658289029 -0.3521381019 -0.13048704504  0.2119712646
## 979   0.3221591672 -0.7667141666 -1.2227979625  0.53705408689  0.2167787710
## 980  -0.8782902884 -0.4910655603  0.4071016016 -0.12338509389 -0.1777542744
## 981  -0.0174863833  0.6135973172  0.4468845915 -0.01128438530 -0.0317985861
## 982  -0.1192264583 -0.7500416722  1.1402386002 -0.09432543173 -0.1165656423
## 983  -0.1215147070 -0.7731827741  1.3931959697 -0.55029133483 -1.4345703148
## 984  -0.0174863833  0.6135973172  0.4468845915 -0.01128438530 -0.0317985861
## 985  -0.8782902884 -0.4910655603  0.4071016016 -0.12338509389 -0.1777542744
## 986   0.4923803299  0.0989149963  0.1973386100  0.09859827718 -0.3260111971
## 987  -0.7793167125 -0.7809833894 -0.3683954584  0.11212095046 -0.1196368468
## 988  -1.4414571182  0.9207555469 -0.9232675265 -0.99432299373 -0.5240989307
## 989  -1.2832123456 -0.2459472721 -1.2304682830  0.57978057642 -1.0616446302
## 990  -1.2389306932 -0.6785121606 -0.6310737628 -0.02982373430 -0.6145477251
## 991  -1.2832123456 -0.2459472721 -1.2304682830  0.57978057642 -1.0616446302
## 992  -1.1758034412  0.9408190277 -1.1708002608 -0.88154737715 -0.3736983570
## 993  -1.1665825482  0.4321810440 -1.1799982797  0.05974300583 -1.0015208782
## 994  -1.1758034412  0.9408190277 -1.1708002608 -0.88154737715 -0.3736983570
## 995  -1.4082652412 -0.1543916639 -0.8756618024 -0.55734396978  0.2773404264
## 996  -0.1555467860  0.3828726955  0.2347471389 -0.00790693254 -0.4758552100
## 997   1.8183579087 -0.0396824852  0.2762023353 -0.71464694181  0.3867473433
## 998   1.8183579087 -0.0396824852  0.2762023353 -0.71464694181  0.3867473433
## 999  -1.1316632761 -1.2067718353  0.2861708045  0.64744148320  0.2461515967
## 1000  0.6001683334 -1.4461126559  0.4717886717  0.14365966143 -0.1021346022
## 1001  0.4953802824  0.4054086358 -0.0570004906  0.04070099827  0.2621817697
## 1002 -1.0659300950  0.6562099984  0.8195482392 -0.08174800353 -0.9309858788
## 1003 -0.1098365006  0.2059319535  0.3430122599  0.56536824055 -0.2787183678
## 1004  0.1966364286 -0.9442583963 -0.6641693678 -0.05977107355  0.2009444953
## 1005 -1.1637663406 -0.2587520569 -0.3860802037 -0.27380393943 -0.7967354022
## 1006  0.1966364286 -0.9442583963 -0.6641693678 -0.05977107355  0.2009444953
## 1007 -0.1098365006  0.2059319535  0.3430122599  0.56536824055 -0.2787183678
## 1008 -0.0926133581  0.1816069172  0.3530005750  0.54179040379 -0.2292799702
## 1009  0.9260160106 -0.7419178813 -0.5178233685  0.11127650977 -0.2838184040
## 1010 -0.0498916848 -0.7159622469  0.2109083751 -0.27741427010 -0.6757420507
## 1011 -0.4580078348 -0.9873057188 -0.5899643967 -0.16009680366 -0.0558969184
## 1012 -0.8087912086 -0.3758721263 -0.9484615212  0.30941744339 -0.5737923039
## 1013  0.0929103347 -1.7203306970  0.5664080753  0.04842242507  0.0531072214
## 1014 -0.2664435250 -0.0798095235  0.3460396032 -0.12084622364 -0.8969004330
## 1015  0.2756598905 -1.3118358656 -0.4310772286  0.37219102458 -0.2755804925
## 1016 -0.3447179304 -0.6380008060  0.6873485923  0.73251749123 -0.4137203790
## 1017  0.2696288040 -0.5934800005  0.4682272345  0.04361857506 -0.0369385472
## 1018 -3.0479639624 -3.2151238252 -0.6591807574  1.00963586759 -0.5581743964
## 1019 -3.0479639624 -3.2151238252 -0.6591807574  1.00963586759 -0.5581743964
## 1020  0.1582518624  0.9235932565 -0.3163976234 -0.43184079093  0.0576194660
## 1021  0.2021591155 -1.2427858813 -0.5472528677 -1.19273358561  0.1016080827
## 1022  0.2021591155 -1.2427858813 -0.5472528677 -1.19273358561  0.1016080827
## 1023  0.0278567542  0.1535677587 -0.5324982212  0.50050587523 -0.1018559982
## 1024  0.3493272143 -0.8593393251 -0.8755352496 -0.34451699555  0.1096956302
## 1025 -0.1366302085 -0.2933811248 -0.1342327393  0.31448270876 -0.6938604864
## 1026  0.6889995093 -0.4096070112  0.9689929420 -0.04126615601 -0.5088105215
## 1027 -0.1073856086 -0.5595887193 -0.3645696962 -0.52603529316 -0.0037023835
## 1028  0.2496848162 -0.9748871334  0.7129239480 -0.35252375541 -0.5682194095
## 1029 -1.0068543127  0.4042360305 -0.7862637599 -0.37499110962 -1.1945804883
## 1030 -0.1366302085 -0.2933811248 -0.1342327393  0.31448270876 -0.6938604864
## 1031  0.5736996935 -0.4845805907 -0.1249062728 -0.00041576323 -0.4591254786
## 1032  0.1360634135 -0.3602026076 -0.2228161211  0.28899967495 -0.5267420430
## 1033  1.4763182938 -0.0168867600 -0.0426906140  0.36777153198 -0.2270875224
## 1034  0.1613623692 -0.2692111266 -0.3001842649  0.46125287398 -0.5183447164
## 1035 -0.4346294451 -0.8591381065  0.2194055495  0.16505564931 -0.1475919114
## 1036 -0.2084758799 -0.1758039501 -0.2893120579  0.38750925161 -0.2035678370
## 1037 -0.2084336309 -1.2111465843 -0.5441639505  0.02428651541 -0.9108076617
## 1038 -0.4828755397 -0.3585625981  0.7268992829  0.03182602431  0.0630999022
## 1039  2.1610644051 -0.8643418295 -0.1188916086  0.65736856808 -0.5866656373
## 1040  0.2552236825  0.3546282052  0.8488947773  0.04133526890 -0.5954278450
## 1041  1.0580124377  0.3945549755  1.3707140309 -0.66941657988 -0.0852010096
## 1042 -0.4683289092  0.5024996454 -0.5487694533  0.24709093056 -0.0923158869
## 1043  0.2552236825  0.3546282052  0.8488947773  0.04133526890 -0.5954278450
## 1044  3.4347392866  0.6199463189 -0.7017053136  1.19907671176 -0.2201648711
## 1045  0.3996630748 -0.6956348325 -0.5743224254  0.55565014113  0.6961821689
## 1046 -0.7935952036 -0.3771163622  0.0090413108  0.17373847718 -1.5460294095
## 1047 -0.3363638142 -0.6217818004  1.1312341623  0.00268305611 -1.3209117444
## 1048 -0.3990756138  0.8768178668 -0.2125705817 -0.60204992811 -0.5162968915
## 1049  0.0974507834  0.2161228565  0.5104403911  0.13477349317  0.2327026866
## 1050  0.0667997320  0.1774320587  0.4826661348  0.06767588095  0.1039125628
## 1051 -0.3990756138  0.8768178668 -0.2125705817 -0.60204992811 -0.5162968915
## 1052  0.9816453711 -0.9795170580 -1.2736797176 -0.58500974480 -0.2751997351
## 1053  0.9950107517 -0.8540648888  0.0590845268 -0.44342880032 -0.4237576147
## 1054  0.5934029250 -0.1793428347  0.1423470966 -0.15190521965  0.1954680890
## 1055 -0.8782039541 -0.5208801709 -0.1432783334  0.77634042977  1.1163627077
## 1056 -0.8782039541 -0.5208801709 -0.1432783334  0.77634042977  1.1163627077
## 1057  1.3203291649 -1.2691701445 -0.5820088041 -0.11411133276  0.3111430449
## 1058 -0.5177670264 -0.0889055453 -1.1733581198  0.63601106512 -0.2086865655
## 1059 -0.1150293738 -0.7456138692  0.9636680447 -0.70613655279 -0.5017385399
## 1060  1.3203291649 -1.2691701445 -0.5820088041 -0.11411133276  0.3111430449
## 1061 -0.9076945445  0.6147287303 -0.3405004283  0.04171627492 -0.0372011035
## 1062 -0.0171038180 -1.0029122621  0.2622833774 -0.05983686995  0.1540851536
## 1063  0.0529030882 -0.2783700425 -0.6002333210 -0.32444160436  0.2317224583
## 1064 -0.1150859035 -0.5702325625 -0.3679846021 -0.45348874395  0.3155925288
## 1065  0.4124898297 -1.4309841785  0.7072703081  0.46449092245 -0.2171544078
## 1066  0.1662613084 -0.2091365161 -0.2179285969  0.43614514629  0.0547116277
## 1067  0.8044829293 -0.5362596370  0.3402674084  0.48705477433 -0.2603412518
## 1068 -0.5570087023 -0.4034113113  0.2685784232  1.14856133557 -0.0299202809
## 1069 -0.5570087023 -0.4034113113  0.2685784232  1.14856133557 -0.0299202809
## 1070  0.1024292834 -0.3927473810  0.3141869741 -0.51795830940 -0.4084894168
## 1071 -0.8668905459  0.0922811427  0.6116752634  0.65842945320 -0.2510874827
## 1072  2.2579143373 -0.6012143918 -0.7509272255  1.17281862383 -0.0944056512
## 1073 -1.2707887914  0.8862147084 -0.7605193140 -0.54247667049 -0.4354684256
## 1074  0.2814286873 -0.3635382949  0.0351504246 -0.38271801531 -0.0053469967
## 1075  2.2579143373 -0.6012143918 -0.7509272255  1.17281862383 -0.0944056512
## 1076 -0.8476337546  1.8084773166  0.4857437369 -0.73574109731 -1.3028682176
## 1077 -0.2942419416 -0.4696839658 -0.1494314909  0.31847147529  0.1974163231
## 1078  2.2348312085  0.0510793434 -1.5165939164  0.09242891355  0.5763136059
## 1079  2.2348312085  0.0510793434 -1.5165939164  0.09242891355  0.5763136059
## 1080  0.1191146246 -3.2190927822 -1.1645337088  1.40922599325  3.1902339442
## 1081 -1.0187876349 -0.9163922279 -0.4027471454 -0.15509922596  0.1094105396
## 1082  0.0447238056 -3.2646732136 -1.1332135726  1.41559150795  3.3882339616
## 1083 -1.1821498145  0.9861868452 -0.6164154511 -0.57804129363 -0.2557392050
## 1084 -0.0339789120 -0.1031094024  0.7550575243 -0.62938157236 -0.4764679615
## 1085 -1.1821498145  0.9861868452 -0.6164154511 -0.57804129363 -0.2557392050
## 1086 -1.8160741366 -0.7079818937 -0.6272869506  0.70505863739 -1.5737226055
## 1087  1.6865810608  0.6165407422 -0.5984630559  0.18340835018  0.2970659101
## 1088 -0.9726308358  0.2155887271 -0.6905243227  0.21956815081 -0.2626749263
## 1089 -1.4272268252 -0.4511165990  0.4857081539  0.10871617338 -0.6758854894
## 1090 -1.4272268252 -0.4511165990  0.4857081539  0.10871617338 -0.6758854894
## 1091 -1.7708944614 -1.7205648790  0.0235728524 -0.02832431749 -1.3244884651
## 1092 -0.0319350548 -0.0631630315 -0.7313366226 -0.43489969186  0.1953146873
## 1093  0.4204225311 -0.2296767608 -0.1275501106 -0.04302337658 -0.2827295714
## 1094  0.3949762853  0.4005745454  0.4846035155  0.04314502528 -0.0003661025
## 1095  2.3240594280 -0.8849154251 -1.0029899019  0.39757630199 -0.2458303039
## 1096 -0.3442542582 -0.4645297586 -0.7773505855 -0.16912337263  0.0589956881
## 1097  2.3240594280 -0.8849154251 -1.0029899019  0.39757630199 -0.2458303039
## 1098 -0.9129408868 -0.3101844296 -0.7863769106 -0.00703468376  0.1788913099
## 1099  0.8552618918 -1.8134264090 -1.2124273935 -0.19287816808 -0.1217169403
## 1100 -0.9129408868 -0.3101844296 -0.7863769106 -0.00703468376  0.1788913099
## 1101 -0.3952824577 -1.1209425854  0.2788568923  0.61922174586 -0.6501652901
## 1102  0.1675632413 -0.7120263294 -0.0012113435  0.00589762564 -0.1495503969
## 1103 -0.1928647610 -0.1593972511 -0.5634680628 -0.13874518200 -0.4274119862
## 1104  0.1675632413 -0.7120263294 -0.0012113435  0.00589762564 -0.1495503969
## 1105  0.1648198672 -1.1257969580  0.2031904826  0.05502260589 -0.2900752888
## 1106  0.3625092151 -0.9524421932  0.4126654442 -0.15864686991  0.6256190767
## 1107 -0.4911003715 -0.9710168584 -0.8970435050  0.07800752666 -0.1592971405
## 1108 -0.0190332788  0.2030196440  0.2928192637  0.39123206023  0.0153587741
## 1109  0.8923588190  0.0483675509 -0.1612325236  0.00912137027 -0.0116270641
## 1110 -0.1915966432 -0.7342968926  0.3462085463 -0.99218622502 -0.6736938781
## 1111 -0.5651996455  0.0936967204  0.0573333368  0.96303265909 -0.5127807325
## 1112  0.8214492146  0.8677313126 -0.3074682646 -1.80666145616  0.4179514268
## 1113 -0.7494845899 -0.0247949979 -0.3711483632  0.49160710890  0.6549156446
## 1114 -1.2367608607  0.4006767216 -1.2271903141  0.67345548118 -0.0777109370
## 1115  1.0164714509 -1.3350961695 -0.5482761481 -0.06283792147  0.7759842066
## 1116  0.7500700185 -0.5493133552  0.2593575792 -0.00789126131 -0.5078215012
## 1117  0.7500700185 -0.5493133552  0.2593575792 -0.00789126131 -0.5078215012
## 1118  0.7500700185 -0.5493133552  0.2593575792 -0.00789126131 -0.5078215012
## 1119  0.1747376731 -1.4852771177 -0.2292981449  0.28383840385 -0.6054548858
## 1120  1.3117186889 -0.9673723450  0.1932229234  0.14706094489  0.0500499394
## 1121  0.6578494053 -1.8974660515  0.4121872272  0.67084659544  0.0203552594
## 1122  0.0872804874 -0.5783140990  0.0963300669 -0.04418358320 -0.8666096676
## 1123 -0.4904540617 -0.8425722655 -0.1371631106 -0.17067137225 -1.1093357600
## 1124 -0.6503316511 -0.6721554778  0.3752476083  0.02168937429 -0.7653768827
## 1125  1.2634334793  0.5104902028 -0.1254203360 -0.49460601059  0.1684709491
## 1126 -1.1607128654 -0.6901438096 -0.6547687860  0.68564104095 -0.4103446232
## 1127  0.2594762878 -1.1161233496 -0.9157100569  0.11033088284  0.2878832489
## 1128  0.7514878669 -0.6773942788  0.5513885093 -0.06877673508 -0.4284199747
## 1129 -0.6962831103  0.1186162073  0.2403403246 -0.22195708136 -0.2265481612
## 1130 -0.1152306633 -0.1138661829  0.2718804862 -0.08445680080 -0.3586809601
## 1131 -0.1342832157 -0.0665123071  0.6408097394  0.99165863249 -0.6500370723
## 1132 -3.0187972283  0.0921807608 -1.4026395972  0.00045564925 -0.8892507842
## 1133  0.5675942237 -0.5016493399  0.7897344774 -0.04732010517 -0.0544697572
## 1134  2.2773946417  0.2478326854 -0.7133914368  0.90503566365 -0.4351628828
## 1135 -0.1285851671  0.2152201838 -0.0621157322  0.26603460545  0.0405325501
## 1136 -0.6826337682 -0.0886158756 -0.4482741199 -0.70289305337 -0.0826341598
## 1137  0.2776615079 -0.1794496137  0.9068375938 -0.20872226994  0.0217566186
## 1138  0.2776615079 -0.1794496137  0.9068375938 -0.20872226994  0.0217566186
## 1139 -0.6436252135 -0.0398182370 -1.0787814476  0.84053754022 -0.3958880042
## 1140 -0.8036792009  0.5241143953 -0.0150391641 -0.01975453733  0.7146119298
## 1141 -1.2022083416  0.9695065491 -0.3619639241 -0.54272806173 -0.2187323766
## 1142 -0.2062080334  0.2796353709  0.3673493026  0.40561206643 -0.0247750742
## 1143  0.1235839488 -0.3110110729 -0.2725705932  1.20149223910 -0.1419150465
## 1144 -0.0540827002  2.5675961257 -0.6000875736 -0.43007304672 -0.0492930515
## 1145 -0.9029914122  0.8730684556 -0.5629556899 -0.31470985127 -0.6656334652
## 1146 -0.2116386476  1.8644702197 -0.3805762003 -0.81878644431 -0.4302942215
## 1147  0.4104094143  0.1087545278 -0.5532906082  0.49574523319 -0.2572559298
## 1148  1.9837871145 -0.9218306653 -0.9501132155  0.29176660405 -0.1061493481
## 1149  0.2036145483 -0.0182671999 -0.3772435365 -0.49346190024  0.2770250224
## 1150 -0.2654853803 -0.7428244527 -0.1655218232 -0.43864819450 -0.0803355541
## 1151  0.9223847545 -0.3389356286  0.0521861588  0.46324350048  0.0758981471
## 1152  0.4346102917 -0.6792139983  0.4995943857  0.04091556562  0.8448459011
## 1153 -0.4625874086 -1.0602370043 -0.6577019216  0.34116028952  0.0171778901
## 1154 -0.3864675031 -0.3833881423  0.1596712780 -0.09513496865 -0.3791387231
## 1155  0.2106609733  0.3750109950  0.6404889180 -1.14775655650 -1.8141436741
## 1156 -0.4625874086 -1.0602370043 -0.6577019216  0.34116028952  0.0171778901
## 1157 -1.2289383169  0.2175884033  0.1644017981 -0.85142024001 -0.7577745511
## 1158  0.3154376101 -0.4168252602  0.9059113465  0.76512219093  1.4467010778
## 1159  0.6470387906  1.5745232583  0.6672219127  0.74294590759  0.4923053981
## 1160 -0.2782864316 -0.4986689570 -0.0770963877 -0.17008159357 -0.0881570627
## 1161 -0.1904905619 -0.4128714823  0.0087717146  0.01145018132  0.1475679003
## 1162 -0.8149667204 -0.0077862203  0.0335887337  0.35592128261 -0.0448748308
## 1163 -0.2263738057 -0.8167958283 -0.3229434963  0.64861683161 -0.2966422157
## 1164 -0.0778926808 -0.2967002240  0.9431042562  0.03856071995 -0.0315468921
## 1165 -0.0778926808 -0.2967002240  0.9431042562  0.03856071995 -0.0315468921
## 1166  0.7254142874 -1.4164488132 -1.7012970487 -0.35091009710 -0.5312868998
## 1167 -0.4286717619 -0.7018283887  0.9772708474  1.80595888801  0.2527709572
## 1168  0.2671480431  0.0728198499  0.6489337138 -0.05346530601 -0.6014947441
## 1169 -0.0068695567 -1.0393963777 -0.9661697764  0.83080700834  0.3790055606
## 1170  0.4230450656 -0.5422417907 -0.3149667077  0.08551941399  0.1557809655
## 1171 -0.6476328939  0.2441818870 -0.1559732218  0.46096106996 -0.0970403237
## 1172  0.0672446826  0.0948579280  0.3903700367  0.19115982526 -0.8558445812
## 1173  0.4532549062 -0.3312771875  0.6056867689 -0.27598104689  0.2050489350
## 1174 -1.0040753840  1.2509725334 -0.5838509166 -0.71965429229 -0.0446985774
## 1175 -1.0040753840  1.2509725334 -0.5838509166 -0.71965429229 -0.0446985774
## 1176  0.3750759781  0.4306028858  0.7995542450 -1.12113291720 -1.6946319483
## 1177  2.4476380810 -0.5845923726  0.1031902397 -0.28206945571 -0.2131444896
## 1178  0.9554042594 -1.1441597048  0.7812336050  0.85346920652 -0.2516193692
## 1179  0.7648775624 -0.0513289624  1.5655118821 -0.07793196561  1.0902830304
## 1180 -0.0327653026  0.3146151900 -0.0168101786  0.59241009849  0.3298308224
## 1181 -0.0327653026  0.3146151900 -0.0168101786  0.59241009849  0.3298308224
## 1182 -0.7607691396 -1.1315638126 -0.5049743431 -0.19527482666 -0.0926826128
## 1183 -0.3596632521  1.0929272728  1.0294848207 -0.65441167372 -1.2605229520
## 1184 -0.9542516234 -0.0916092811 -0.0240199151  0.73286567790  0.1793532872
## 1185 -0.2733771500 -0.5778901773  0.4738346430  0.28652965760  1.8685478686
## 1186 -0.1764734296 -1.2204406024 -0.9363557209 -0.17709833861  0.5437546891
## 1187  4.2563046852 -0.7830866881 -0.5077627141  0.46379540137  0.0021144807
## 1188 -0.1764734296 -1.2204406024 -0.9363557209 -0.17709833861  0.5437546891
## 1189 -0.2733771500 -0.5778901773  0.4738346430  0.28652965760  1.8685478686
## 1190 -0.1619452553 -1.0955641681  0.6569014382  0.12649714331 -0.0303145399
## 1191  1.5705912674 -0.8410496743 -0.5572051393 -0.40696634844  0.4015497722
## 1192  1.5297266716 -0.8635301650 -0.2780159830 -1.07217339069 -0.0556827588
## 1193  0.6523394125  0.7101013954 -0.1728633757 -0.23697292709  0.6060615160
## 1194  1.5344715936 -0.8577017351 -0.2981313180 -1.06197318261 -0.0445391531
## 1195 -0.6012127866 -0.9156399599 -0.1094779341  0.47957743880  0.2375390371
## 1196 -0.6332121889  1.2233653004 -0.8201759559 -0.46887295530  0.1965269588
## 1197 -1.0916360522 -0.3667718490 -0.0487599098  0.39255867504  0.3498670365
## 1198 -0.9075086504 -0.7584589747 -0.5692044097  0.98300470634 -0.0828875192
## 1199 -1.0975316239  0.0297757733 -0.0852818590  1.30177190837  0.1725594406
## 1200 -1.0916360522 -0.3667718490 -0.0487599098  0.39255867504  0.3498670365
## 1201 -0.9075086504 -0.7584589747 -0.5692044097  0.98300470634 -0.0828875192
## 1202 -0.4594218983 -0.4700136419 -0.9196443336  0.23304911775  0.0616894826
## 1203  0.1149658776 -0.0889267748  0.1075730044 -0.17859240768  0.1790851593
## 1204  0.9569026211 -0.9694276425 -0.0325577530  0.43363666954 -0.9728241876
## 1205 -0.1314579765  0.7516016631  0.0234390611 -0.16871779998  0.0278380700
## 1206 -0.1314579765  0.7516016631  0.0234390611 -0.16871779998  0.0278380700
## 1207 -0.1314579765  0.7516016631  0.0234390611 -0.16871779998  0.0278380700
## 1208  0.1017354582  0.1392535918  1.3270760477 -1.01904261769  0.1502544604
## 1209 -0.1314579765  0.7516016631  0.0234390611 -0.16871779998  0.0278380700
## 1210  0.2723234938  0.7705637609 -0.1695499542  0.11981204008  0.4230368113
## 1211  0.2139382996 -0.2187932992 -0.0790079171  0.70499352433 -0.2480076356
## 1212 -0.9067044695  0.5242367017 -0.8136662409  0.57139085404 -0.2859688038
## 1213  0.2139382996 -0.2187932992 -0.0790079171  0.70499352433 -0.2480076356
## 1214 -0.4567347128  0.0677975422  0.0067661832  0.62118591572 -0.0013348494
## 1215 -0.9993750859 -0.7200246602 -0.9018296060  0.05155520025 -0.3226894978
## 1216 -0.6137790147 -0.5367284139 -0.9132129741 -0.51676230229 -0.5495581828
## 1217 -0.6909649897  0.1627571137  0.0240042013  0.36479095630  1.1392883852
## 1218 -0.9848412834 -0.4759394726  0.7463208367  0.12956615087 -1.0670678681
## 1219 -0.3354467106  0.0432423221 -0.3437569772  0.42705931677  0.0235186121
## 1220 -1.2432622416 -0.0059387964  0.7700006298  0.56653824307 -0.3606294997
## 1221 -0.1030288965 -0.1084707858  0.2469936727 -1.10757400209 -0.2037456476
## 1222 -0.1030288965 -0.1084707858  0.2469936727 -1.10757400209 -0.2037456476
## 1223 -1.3660620598 -0.3866401664 -0.3351647507 -0.27885861106 -0.4193483742
## 1224  0.1321924945 -0.2820255058  0.5703593506 -0.13869993861 -0.0500771515
## 1225 -0.2361028023  0.2365479178  0.8069997593  0.33539437648 -0.3565038894
## 1226 -0.9082985497 -0.0478164075 -0.4411159045  0.13558223418 -0.0325582201
## 1227 -0.4459504602 -1.1393601483 -1.0140159225  1.69552927391 -1.3466493542
## 1228 -0.0444840818  0.3296750043  0.1131705625  0.18241341891 -0.1002485496
## 1229  0.5276692424 -0.0720955898  0.5730029177 -0.11922072362  0.8459606429
## 1230 -0.7016934196  0.9418936292 -0.4456929227 -0.19882322465  0.3586320611
## 1231  0.0376323014  0.4766615762 -0.4702387609  0.33674356482  0.3438826124
## 1232 -0.2200846712 -0.6808208906  1.4461785579 -0.39990911405 -1.3280902726
## 1233 -0.7016934196  0.9418936292 -0.4456929227 -0.19882322465  0.3586320611
## 1234 -1.5037312073  0.3918893798 -1.1613646228  0.16658816814 -0.3307715796
## 1235  0.5641052378 -2.0561184889  0.3881447561 -0.03910285645 -0.4016134767
## 1236  4.8779085627 -0.6981106540 -2.8985712656  2.65148706915  1.9605665237
## 1237 -0.5219486984  0.4295511624 -0.1490169030  1.05370414980 -0.4261961844
## 1238  0.5641052378 -2.0561184889  0.3881447561 -0.03910285645 -0.4016134767
## 1239  0.1828111627  0.0982902108  0.0034548375 -0.11440041945 -0.4917680564
## 1240  1.7572647218 -0.4903269871 -0.0301924431  0.56742548791 -0.2539246127
## 1241 -1.9625902003 -1.3293945163 -0.5797626189  0.36292352240 -1.1945232311
## 1242 -1.1856180795 -0.1109324854 -0.3215219716 -0.02567605041 -0.6000572658
## 1243 -0.4748733613 -1.1428687887  0.1379462956  0.01003952800 -0.0395506215
## 1244 -0.3463638210  0.5624216579  0.0036984190 -0.07036244868  1.0740621880
## 1245  3.6149635021 -0.0107635016 -2.6181683651  1.46067907602 -1.3391162217
## 1246  0.1285202790  0.7303858061  0.1677802561 -0.45775439956  0.0068436475
## 1247 -0.9285980469 -1.5922816149 -0.0520336760  0.84716939097 -0.2845092594
## 1248  0.1285202790  0.7303858061  0.1677802561 -0.45775439956  0.0068436475
## 1249  0.0363764912  0.3661277055 -0.2095972525 -0.12749628026 -0.2191070389
## 1250  0.1096665857 -0.1909178833  0.1795274141  0.12391227429 -0.8849456828
## 1251  0.1096665857 -0.1909178833  0.1795274141  0.12391227429 -0.8849456828
## 1252 -0.7364653679 -0.1266911888 -0.0405064972  0.25821641227 -0.5635428481
## 1253  0.4382037378  0.0501487415 -0.2738929965 -0.17721720032 -0.1695997284
## 1254 -0.1970590485  0.2480353149 -0.1475917768  0.09424395259 -0.2587830601
## 1255  0.2517732024 -0.0462771485  0.9376751570 -0.06399575470 -0.5687913327
## 1256 -0.0776852742 -0.6819551429 -0.3229474943 -0.17871031435 -0.6268937374
## 1257 -2.0182731523 -1.2342146005 -0.6134521275  0.22996033936 -1.5998590689
## 1258  1.4178801550 -0.3656325581 -0.2888841353  0.67780446338  0.8453631400
## 1259  1.0254942572 -0.4614509934 -0.0926596865 -0.13187424444 -0.4401696205
## 1260  1.0254942572 -0.4614509934 -0.0926596865 -0.13187424444 -0.4401696205
## 1261  0.8977173724 -2.0441880618 -1.2474801077 -1.04570087213 -0.0164081496
## 1262  1.0071783396 -0.8305035078  1.0864977411 -0.71165978266 -0.1455356026
## 1263 -1.2056197241 -0.3627609451 -0.0543944092 -0.15548129613 -0.9271373538
## 1264  0.0642108882 -0.1417739810  0.1704471051 -0.23032264132 -0.5178182269
## 1265 -0.4238972005 -0.0544540377  0.3866751508 -0.35170258921 -0.4450843247
## 1266 -0.0086120779  0.0555136740 -0.1881705373  0.30003919859 -0.3856549562
## 1267 -0.0086120779  0.0555136740 -0.1881705373  0.30003919859 -0.3856549562
## 1268 -0.1075834544 -0.4578893513  0.8528666579  0.65522734245 -0.3090661498
## 1269 -0.6991785520  0.9946308929 -0.9595794558 -0.64688476969  0.1115159048
## 1270  0.3153962563 -0.9510804943  1.2161978451  0.42403139731  0.1149038112
## 1271  0.5974680463 -0.0445033888  0.5605380360 -0.37418162179 -0.1279970718
## 1272 -0.8168304480 -0.5652730058  0.0862089994 -0.07116189156 -0.1355775651
## 1273 -0.2241480199 -0.0074110813 -0.5636584468 -0.19631552492 -0.7149481155
## 1274 -1.6805397084 -1.1204204163 -0.6960765631  0.55887227153 -1.3668378870
## 1275 -0.2009552737 -1.3518228874 -0.2367689491  0.18575676792 -0.5923732739
## 1276 -0.6933041055 -0.6166537112  0.1396612642  0.33815903970  0.8109046595
## 1277  2.2396574011 -0.6042525108 -1.0199131806  0.81474161916  0.2233003480
## 1278  0.3117473876 -0.0484325062 -0.3641463769  0.40897340399 -0.1483205865
## 1279 -0.6933041055 -0.6166537112  0.1396612642  0.33815903970  0.8109046595
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## 1281 -0.6507423424  0.2557263948 -0.1873526564 -0.10188563764 -0.5536321283
## 1282 -0.6507423424  0.2557263948 -0.1873526564 -0.10188563764 -0.5536321283
## 1283  0.5357473331 -0.4545789458  0.9185138019  0.44849796454 -0.3072320544
## 1284 -0.0871357870 -0.4503788741  0.2549077060 -0.04668969019  0.3012767613
## 1285 -0.2190476477 -0.0129787068 -0.6493175344  0.01606762434 -0.3096373552
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## 1287 -0.2049420248 -0.4749104967 -1.3144009501 -0.29974254718 -0.1289705303
## 1288  0.4730843202 -2.3676596058 -0.1008242192  0.51275731271 -0.3869954845
## 1289  1.3549716495  1.3858423985  1.4067704253  1.48111552820  1.3302888526
## 1290  1.3549716495  1.3858423985  1.4067704253  1.48111552820  1.3302888526
## 1291  0.5479426814 -0.7802191609  0.3259518037  0.19621890611 -0.3180724344
## 1292 -0.1336586063 -0.2159233623  1.0851420500  0.37082045719 -0.5224638632
## 1293  0.8528999597  0.5312620456 -0.1964930287 -0.29079923472  0.0587239781
## 1294  0.0171284849 -0.2438423464 -0.0540699825  0.24700033446 -0.2851319229
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## 1297 -0.3837171320 -0.9890364503 -0.7780644385  0.59887503700 -2.0099202968
## 1298  0.1382247812 -0.9294461964  0.1450546211  0.31423760368 -0.3284464002
## 1299  0.1332039200 -0.9635368504 -0.0001287666  0.31118603946 -0.2314796782
## 1300  1.8261680506 -2.9587518503  1.9275123040 -1.24512628847  0.3009160501
## 1301  1.5096867078  0.4410651648  0.3245727947 -1.17100085341  0.0868998647
## 1302  1.1610581923 -0.1286546003  1.4480897400 -0.90896136548  0.2441133551
## 1303  0.1415787936  0.3944827386  0.2356105421  0.51405844158  0.1282032259
## 1304 -0.8876637731  0.0681488679 -0.3999881794 -0.63114088796 -0.0964165255
## 1305 -1.1054777020 -1.5900743525 -0.2545243781  0.56171646304  0.0025440677
## 1306 -1.1166529640 -0.4268329443 -0.0478522743 -0.12856779925  0.3934121026
## 1307 -0.3915747379 -0.4576280605  0.8341354280 -0.50135838214  0.4502288354
## 1308  1.1333342925 -0.5651491945 -0.2174873923  0.27077519767 -0.2452667096
## 1309 -0.3915747379 -0.4576280605  0.8341354280 -0.50135838214  0.4502288354
## 1310 -1.3147359624  0.0655114177  0.0617182538  0.45100711821 -0.4534950644
## 1311 -1.1166529640 -0.4268329443 -0.0478522743 -0.12856779925  0.3934121026
## 1312  0.8120891015 -1.2919360759 -0.1560967155  0.55143597483 -0.1535417155
## 1313  0.2464296349 -2.0342035040  1.4459304336 -0.56031448069  0.3954627247
## 1314 -0.6506898762  0.3335296899 -1.0752501413 -0.15357488548  0.0744936761
## 1315 -0.7016686622  0.2921848133 -1.0680945763 -0.22786686319 -0.1002448156
## 1316 -0.9040416884 -0.5808342626 -0.0333634192  0.17832180440  0.8557580468
## 1317  0.9988217951  0.7705332175  1.0297995112 -1.79334204888  0.7571292683
## 1318  0.0006213893 -0.9030891864  0.3984735667 -0.18388952802  0.2030244464
## 1319 -0.9040416884 -0.5808342626 -0.0333634192  0.17832180440  0.8557580468
## 1320  0.9763239550 -2.3543283350 -0.4164289780 -0.38255517458  0.1337195522
## 1321 -0.1721140388 -0.4381270600  0.6521639143 -0.16724764361  0.9870047211
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## 1324 -0.9120956094 -0.1750580571  0.4632049667  0.66374121510 -0.1510914175
## 1325 -0.4796707602  0.0852065588 -0.5297658917 -0.09750370941 -0.1725295018
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## 1327 -0.4796707602  0.0852065588 -0.5297658917 -0.09750370941 -0.1725295018
## 1328 -0.4796707602  0.0852065588 -0.5297658917 -0.09750370941 -0.1725295018
## 1329 -0.8406182569  0.2417585426 -0.9100222929  0.48201334708 -0.0205695899
## 1330 -0.8556847711 -0.4495133481 -0.2060134508  0.08907902239  0.8508644937
## 1331 -0.8556847711 -0.4495133481 -0.2060134508  0.08907902239  0.8508644937
## 1332  0.0734703587 -1.2045096566 -0.1787470847 -0.23428080285 -0.3988733492
## 1333 -1.3293608306 -0.6510370210 -1.1473851646  1.04705240790 -0.4787369319
## 1334 -0.5159270674 -0.8607176376  0.4306223345  0.18862731632  0.1024495394
## 1335  0.8197695400 -0.9403174320 -0.4453037444 -0.41541303221 -0.2239447259
## 1336  0.6470135146 -0.8726345387  0.5615148830  0.35810752887 -0.4937763445
## 1337 -1.1267704010  0.1568844535 -1.0263062988  0.60621005839 -0.4904078997
## 1338 -1.1267704010  0.1568844535 -1.0263062988  0.60621005839 -0.4904078997
## 1339 -1.1267704010  0.1568844535 -1.0263062988  0.60621005839 -0.4904078997
## 1340 -0.3739810689 -0.1195115446 -0.3616573476  0.19169538879 -0.4793462898
## 1341 -0.3739810689 -0.1195115446 -0.3616573476  0.19169538879 -0.4793462898
## 1342 -0.3739810689 -0.1195115446 -0.3616573476  0.19169538879 -0.4793462898
## 1343 -0.4108262798 -0.0894120150 -0.2776472946 -0.06448058018 -0.7157400338
## 1344 -0.3739810689 -0.1195115446 -0.3616573476  0.19169538879 -0.4793462898
## 1345 -0.2862118923 -0.7119167781  0.0750701233 -0.27257358438 -0.3206726387
## 1346 -0.5315871555 -0.0920211454 -0.6178481401  0.41271967456 -0.1229289057
## 1347  0.6428482104  0.1566980438 -0.1059704513  0.12460053414  0.0970515543
## 1348 -0.4682445415 -0.2968853671 -0.7520106797  0.19571033933 -0.3291243820
## 1349 -0.4682445415 -0.2968853671 -0.7520106797  0.19571033933 -0.3291243820
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## 1352  0.1113629951 -1.3889792894  0.0520265936  0.64635157853  0.1522410247
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## 1354 -0.3221635099 -0.3286494367 -0.0500993324 -0.23942425725  0.0015787914
## 1355 -0.0743171607 -0.0846490795 -0.5438451969  0.52479123127 -0.0554334721
## 1356 -0.7579691347  0.0426891403 -1.9106696122  0.09013531005  0.4765416819
## 1357 -0.7017462456  0.0249013997 -1.8578497177  0.11376980277  0.4844391247
## 1358  0.1706906497  0.8263223861 -0.1637325667 -1.24082360958 -0.0317213601
## 1359  0.7030085533 -0.9743852511 -1.1211160589 -0.56528561721 -1.5494105203
## 1360 -1.0891667063 -0.6764749732  0.3227641660  0.25337562179 -0.1400896153
## 1361  0.0204525798 -0.7877008390 -0.1320757531 -0.40370370338 -0.0565269460
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## 1363 -1.0891667063 -0.6764749732  0.3227641660  0.25337562179 -0.1400896153
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## 1365  0.5247756720 -0.6131320273  0.0473138604 -0.41229887925 -0.1611251453
## 1366 -0.4194176796 -0.1394755576 -0.6884185171  0.78364827471 -0.2303082002
## 1367 -0.5582193645 -0.9639688096 -0.1271148900  0.42835054485  0.1132215151
## 1368  0.2661222189  0.8462827604  1.3274844781  1.47153548412  1.8006063836
## 1369 -0.6666444077 -0.9212731755  0.2353308700 -0.23368095929  0.7414955818
## 1370 -0.4708093533 -0.8501435971 -0.8735954271  0.46746492181 -0.2494025948
## 1371  1.1226211301 -2.4547531570 -0.8158045472 -0.61095058824  0.3111503465
## 1372  1.5778686512 -0.8154677152  0.1366091964  0.51779698554  0.6115274593
## 1373  1.1226211301 -2.4547531570 -0.8158045472 -0.61095058824  0.3111503465
## 1374 -0.2685044289 -1.1654146665 -0.4920220616 -0.22414994970 -0.2762699438
## 1375  0.3090983917 -2.0300639646 -1.2533742940 -1.07965063527 -0.8907976813
## 1376 -1.0443593577 -0.6726414075 -0.4706508971  0.22762072618  1.2032199728
## 1377 -0.8265577360 -2.1141926072  0.3026030498  0.57822164444  0.1538745689
## 1378  0.8045066620  0.5203538311 -0.1672833356 -1.55173380949  0.7303687135
## 1379 -0.5814805345  0.0727104314 -0.9387947789  0.38384172179 -0.1667999052
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## 1383 -1.1498140620 -0.6618810648 -0.0661363043 -0.22804298474  0.4623741611
## 1384 -1.1498140620 -0.6618810648 -0.0661363043 -0.22804298474  0.4623741611
## 1385 -1.0185550753 -1.2796077728 -0.1459839279  0.27747850165  0.3010483761
## 1386 -0.7183761902 -1.2575955459 -0.0178080993  0.05900053687 -0.3566027490
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## 1388 -0.2464521229 -0.1690516726 -0.3622555964  0.44006980540 -0.1827815113
## 1389  2.2427684016  0.0230716505 -0.7580409750  0.89394453639  0.9745444041
## 1390 -1.7637332931 -0.9555343112 -0.5267897582  1.12363718066 -0.6183517193
## 1391  0.7638747390 -0.2341335836 -0.1214289569 -0.18287667665 -0.2039309966
## 1392  0.5218011827 -0.5194103368  0.0394123022 -0.21716888681  0.4437447581
## 1393 -1.0012610917 -0.9752696727 -0.5976608779  1.12414728031 -0.2873628939
## 1394 -0.8320248468 -0.4161477407 -0.4174071909 -0.24833531552 -0.0087479583
## 1395 -0.1805997363  0.0648294384 -0.9830560105  0.48152131511 -0.1842101844
## 1396 -0.0461845613  0.2325020645  0.3071423589  0.30683264315 -0.0776816552
## 1397 -0.0820723252  0.2680666609  0.3214898375  0.29604675730 -0.1700497665
## 1398 -1.0830882090 -0.6757342582 -0.2800762084  0.08079418003  1.0717736804
## 1399  0.3910237690  0.7442610863 -0.0966692990 -0.37688913223 -0.0186365847
## 1400  0.6702184800  0.0982420707  0.7245122919  0.50224833585 -0.1747077202
## 1401 -1.4514580561 -1.1073511658  0.4300871548 -0.15670254935  0.6326598268
## 1402 -1.4514580561 -1.1073511658  0.4300871548 -0.15670254935  0.6326598268
## 1403  0.4356564441  1.0463095820  0.1736393804 -0.13640110140  0.6385025128
## 1404 -0.1111155167  1.5288725538  0.2512808313  1.79435573376  0.4315993163
## 1405  0.4029018314  0.6556257584 -0.0636001502 -0.85117077630  0.5752110464
## 1406 -0.2148784597  0.6537484414  0.1839541262  0.81031453322 -0.3076908533
## 1407  1.5443930162  1.1092451284 -0.4695130496  1.65689446220 -0.0004678181
## 1408  0.1058120440  1.3705916578  0.8748418657  0.31963793874 -1.2053191714
## 1409 -0.1216594745  0.4124524679  1.1831670587  0.55592109478 -0.8957916954
## 1410  0.1058120440  1.3705916578  0.8748418657  0.31963793874 -1.2053191714
## 1411  0.9109119371 -1.6285137332  0.7011944617 -0.48169888269  0.2142349963
## 1412  0.6770568067  1.2639157079 -0.3918665445 -0.52090220862  0.7423345263
## 1413  1.5443930162  1.1092451284 -0.4695130496  1.65689446220 -0.0004678181
## 1414 -0.7298913481 -0.8069455172  0.9684956284  1.36426521870  0.5829613249
## 1415 -0.3316749442  1.1857709122 -0.2449044754  0.04803567803  0.4509759854
## 1416  0.2778251654  1.9533700193  0.2702366935  0.55121567889  0.1380660567
## 1417 -0.3316749442  1.1857709122 -0.2449044754  0.04803567803  0.4509759854
## 1418  0.2838158133  0.1625355476  0.1034446389  0.09554105657 -0.2936790947
## 1419 -0.9312556195 -0.7918098940 -0.7995060746  1.13390743419 -0.3253734175
## 1420 -1.4927761231 -1.1247473569  0.0005577091 -0.18460682842  0.5498605379
## 1421 -0.9312556195 -0.7918098940 -0.7995060746  1.13390743419 -0.3253734175
## 1422 -1.2346392716  0.6425005883 -0.6514364434 -0.00924936662 -0.3966317212
## 1423  0.0824064752  0.3179800664  1.0464778897  0.23835447031 -1.4771196295
## 1424  1.7116678292  0.4365711311 -0.6625813908 -0.19197650916 -0.2063717070
## 1425 -0.9781201064  1.1176903661 -0.7773365998  0.27691094330  0.0728701757
## 1426 -0.9781201064  1.1176903661 -0.7773365998  0.27691094330  0.0728701757
## 1427 -0.3431877209  0.8875988012  0.2311171012 -0.60416080539  0.0232571708
## 1428  0.1568454120 -0.2557928172 -0.6860592272  0.09584356794  0.2559422407
## 1429 -0.2915953443 -0.4050526647  0.8318629472  0.19069394431 -0.8992990037
## 1430 -0.6750823103  1.2056383170  0.4095269803  0.19189307047 -0.7416130364
## 1431 -0.6747932063  0.3840946751 -0.3747142014  0.02168717631 -0.0436677312
## 1432 -1.0610733161 -0.1877724257 -0.7418525692  0.31133520226  0.7349474450
## 1433  0.5724626586  0.9790514042  0.4197416822  1.03386694683  0.1622002048
## 1434 -0.1907059767  1.0939025557 -0.5633246435  0.57260062240  0.0667871453
## 1435  6.3451285203  0.1417984309 -2.2484308338  0.78286897229 -2.0078468050
## 1436  6.3451285203  0.1417984309 -2.2484308338  0.78286897229 -2.0078468050
## 1437 -1.5408916570  0.1282037040 -0.7846400282 -0.67118864220 -0.2967162936
## 1438  2.0491791436 -0.7016833105  0.3220829617 -0.49751654630  0.6177279463
## 1439 -0.1273042786  0.2298054843 -0.3201843735  0.29720164948 -0.1054806617
## 1440 -0.3315606933 -0.5986703645  1.0033071274  0.32560729374 -0.3297107791
## 1441 -0.3558795586 -0.1653044645 -0.2117849075  0.70771688365 -0.1810544176
## 1442  0.7063095539 -1.3045371463 -0.4109716463  0.99308825444  0.6516969378
## 1443  0.0679158417  0.8881669298  0.4370456981  0.43072958770 -0.5131885820
## 1444 -0.1042712595 -1.0124327609 -0.2131114115  0.01930258308  0.1793038914
## 1445 -0.3205916250 -0.6099823673  1.0135558176  0.31880011899 -0.3308869778
## 1446  0.7172786222 -1.3158491492 -0.4007229562  0.98628107969  0.6505207391
## 1447  0.0679158417  0.8881669298  0.4370456981  0.43072958770 -0.5131885820
## 1448 -0.0391060636  0.7530011106  0.5343836390  0.38608445199 -0.5967856767
## 1449 -0.5604239499  0.8525438654  0.4815065656  0.05310564332 -1.4781243975
## 1450 -0.3371881730 -0.0784335904 -0.0454917379  0.83255203133 -0.1511212468
## 1451 -0.3558795586 -0.1653044645 -0.2117849075  0.70771688365 -0.1810544176
## 1452  0.6421242918  0.7074247032 -0.5966248188 -0.12704081688  0.1828294804
## 1453 -0.2177188681 -0.4073149156  0.8766178464  0.53204955462 -1.2959473049
## 1454 -1.2369109354  0.7788240760 -0.4174676127 -0.53495089983  0.3488568774
## 1455 -0.0480293160  0.2324326651  0.7561937467 -0.84725056204  0.2743490557
## 1456  0.5270223099 -0.2941672385  1.1177627382  0.15068053018  0.1181337498
## 1457 -1.5691359116 -1.0415640756 -0.2776290493  0.57964321913 -0.6545461638
## 1458 -1.2369109354  0.7788240760 -0.4174676127 -0.53495089983  0.3488568774
## 1459 -0.5521931804  0.7177391769 -0.7734536160 -0.37814882599  0.1978902252
## 1460 -0.1571004909  0.5124905182 -0.2222559889  0.51905861176  0.0516319779
## 1461 -0.4458556948  1.0942470007  0.0663326169  0.08321803330 -0.8128306644
## 1462  0.7720988151  0.9040588592  0.3668515984 -0.10342946648  0.2583197266
## 1463  0.0904867710 -0.2039726860 -0.0809250485  0.46276417627 -0.3141461564
## 1464  0.0937792209 -0.5862917028 -0.1185327379  0.42372712040 -0.2810992458
## 1465 -0.8137413147  0.6016492769  0.2979548508  0.04938730297 -0.8942701608
## 1466 -0.8137413147  0.6016492769  0.2979548508  0.04938730297 -0.8942701608
## 1467 -0.7920105626  0.5189666218  0.0015372142 -0.12067461618 -0.5512813591
## 1468  0.9911829306 -0.5523994145  1.4628990182 -0.69351891425 -0.0455549400
## 1469 -0.7920105626  0.5189666218  0.0015372142 -0.12067461618 -0.5512813591
## 1470 -0.1379390192 -0.6579943806  1.1337939894  0.23570293595 -0.1493522462
## 1471 -1.4872029836 -2.1045730705  0.1424255716  1.41650383926 -0.7943888410
## 1472  1.6469446272 -1.3806901003  0.0440023525  0.25853889953 -0.0552412982
## 1473  0.0846714009  0.7052646705 -0.1287784205 -0.57786781490  0.2513249651
## 1474 -0.3106292561 -0.7629409316 -0.3002689829  0.36823318735  0.1067842385
## 1475  5.3550220323  0.0552720648 -2.4450357673  0.66699635800 -1.5352721725
## 1476  0.7657073375 -0.3575241570  0.9548236668  0.53535668188  1.1009833204
## 1477  5.3550220323  0.0552720648 -2.4450357673  0.66699635800 -1.5352721725
## 1478  0.7766764057 -0.3688361599  0.9650723569  0.52854950713  1.0998071216
## 1479  2.5842507844 -0.2634118626 -0.2337686987  0.59493678616  0.1895161893
## 1480  0.5366469605  1.0030560888 -1.0378424687 -0.91194568963  0.4239600564
## 1481  0.4125515655  1.0802971813 -0.3770291978 -0.34953802499  0.3150372956
## 1482  0.5366469605  1.0030560888 -1.0378424687 -0.91194568963  0.4239600564
## 1483  0.3080086423 -0.1697865117 -0.8113237130 -0.78888063265  0.7260667132
## 1484 -0.6923189207  0.5210460436 -0.5170404068 -0.05701133688  0.3358083540
## 1485  1.0425748955 -0.0205592036  1.1013762897 -0.12722740138  0.4063866370
## 1486 -0.1192387506  0.0640472191 -0.3389370412  0.22584438306  0.2073852092
## 1487  0.1146058189 -0.1457989101 -0.0308952159  0.17561304915  0.2718203307
## 1488  0.6072408297  0.7804967179  0.3762672378  0.46004812132  0.1303508729
## 1489  0.6820554417  0.9628140905 -0.1958890357 -0.50965263981  0.4240569568
## 1490  0.4840168119  0.5565279813  0.1606934698  0.91373021061  0.2971411979
## 1491 -0.3279175909 -0.1634732310 -0.8536617482 -0.30478638597  0.4458367711
## 1492  0.6820554417  0.9628140905 -0.1958890357 -0.50965263981  0.4240569568
## 1493  0.4940414164 -0.2875436861  0.2540343434 -0.26755745823  0.3148395247
## 1494 -1.5139081457 -0.5435617309 -0.0425456831  0.08223026502  1.3836398067
## 1495 -0.7603726020  1.0898643731 -0.7926757080  0.62573503703 -0.3486132749
## 1496 -0.0379988655  0.5716643059  0.0036258273  0.98081325270 -0.5647810828
## 1497 -1.5139081457 -0.5435617309 -0.0425456831  0.08223026502  1.3836398067
## 1498  0.8596560775 -0.2841531394  0.7332354216  0.30171899216  0.0319616927
## 1499  1.0570534271 -0.1554955236  0.7434233730 -0.21542743244  0.1958999607
## 1500  0.8596560775 -0.2841531394  0.7332354216  0.30171899216  0.0319616927
## 1501 -0.5865804109 -0.6198121699 -0.0752152272  0.72847289961 -0.3264857755
## 1502  0.2739546843 -1.2660275055 -0.1717213869  0.72243322029  0.1426259079
## 1503 -0.4492299680 -0.1647398536 -0.3902376077  0.23904681047  0.2806872553
## 1504  0.7297463417  0.7735909179 -0.6789678105 -0.34911635287  0.6661910688
## 1505  0.3441018544 -0.2565108126 -1.1234921766 -0.95726112868  0.5569477707
## 1506  0.5447024485  0.6174637780  0.2725133894 -0.10212521590  0.1369735056
## 1507  0.8592087926  0.0874872477  0.7525438202 -0.00175468499  0.2155317200
## 1508  0.3441018544 -0.2565108126 -1.1234921766 -0.95726112868  0.5569477707
## 1509 -0.1502992804  1.3395877361 -0.6893860323 -0.75197967516  0.2483279550
## 1510 -0.6423791163  0.2764566386 -0.9381122380  0.54310389543  0.1612633485
## 1511 -0.4727328233  1.8059172947 -0.2613000686  0.25977449999 -0.2782621891
## 1512  0.1449313215  0.7582901281  0.4806937097  0.12000001591 -0.5292917132
## 1513  0.7284555594  0.4405896807  0.5891183966  0.03578216945  0.0261482329
## 1514 -0.7451645896 -0.7891475844 -0.4031887184  0.58907222099  0.3313739172
## 1515  1.2895110523  0.9731010085  0.5005838004 -0.06032128776  0.8961374835
## 1516  1.2949955865  0.9674450071  0.5057081454 -0.06372487514  0.8955493842
## 1517  0.0890845292  1.6141973572  0.0942400380  0.60969289175  0.0954367856
## 1518 -0.2850398641  0.6576451108  0.4569845382  0.79587737503 -0.8309866847
## 1519  0.1734226849 -0.0597715373 -0.8471443036 -0.43714940893  0.4329393302
## 1520  0.6761180184  0.0447356285 -0.2266710912 -0.21595215808 -0.2168172088
## 1521 -0.2850398641  0.6576451108  0.4569845382  0.79587737503 -0.8309866847
## 1522 -0.7606258919  0.3973630476 -1.4509688412 -0.06699870567  0.0617203309
## 1523  0.0890845292  1.6141973572  0.0942400380  0.60969289175  0.0954367856
## 1524 -0.7732503892 -0.0688967146 -0.3344055510 -0.10494080642 -0.3838621747
## 1525 -0.4062914553  0.8852672897 -0.3985996571  0.56366488167 -0.1485830556
## 1526 -0.5543968061  0.5082290559 -0.4795038321  0.78655428316 -0.4703588205
## 1527 -0.6172110017  0.4623624683 -0.5067516861  0.95467658622 -0.4429802591
## 1528 -0.2826961600 -0.1709326220  0.0674212212  0.67616526716 -0.5814301701
## 1529 -0.6901125136  0.6182600010 -0.8490899719 -0.46055108400  0.2099920659
## 1530 -0.4951975963  0.1271532063  0.6669358608 -0.38723593886 -1.4348107370
## 1531  0.3495495039  0.3096551769 -0.2418603693  0.58414172563 -0.1375329242
## 1532  1.0369137141  0.8550215390  0.0305753764 -0.31549596143  0.2236120530
## 1533 -0.6056040889  0.0981361519 -0.0567821117  1.09125015757 -0.7193628418
## 1534 -1.4238506263  1.0294844106 -0.4800752916 -0.44700225925 -0.1609012256
## 1535  0.4541445518 -0.4282125500  0.0113008867  0.22064574802 -0.0345720643
## 1536 -0.3327744670  0.2970076231 -0.4681444117  0.35764583110 -0.1705207874
## 1537  0.0323637110  1.0633901948 -0.1016862629 -0.41198552427 -0.2750023256
## 1538 -0.1082122801  0.6729363938 -0.2286066604  0.19558408861 -0.2414502841
## 1539  1.2060368665  0.0510223607  0.3261455018 -0.58875161396 -0.1061023291
## 1540 -0.7175047936  1.5402373004  0.1277495476 -0.46903660634 -0.4610897927
## 1541  1.9579193737  0.6242970983 -0.3936830268  0.02627916175  0.1436832789
## 1542 -0.2777876073  1.2569436842 -0.2259535010  0.11669392098 -0.0080963869
## 1543 -0.2562245543 -1.1304269297  0.8805105153  0.30155300042 -1.0009972438
## 1544 -0.5301821265  0.0369279024  0.1977841799 -0.48052137554 -0.5096413959
## 1545 -0.1420149883 -0.0814270353  0.0841789651  0.79587098828 -0.1260105752
## 1546 -0.3816674029  0.0730633735 -0.0372900226  0.10212843482  0.1973288632
## 1547 -0.1856878976  0.2009077688 -0.0944703063  0.45898671657 -0.6559324804
## 1548  0.2000797517 -0.4780215094  0.1345773063 -0.40191188612  0.0974862061
## 1549 -1.0399036489 -0.6796538766 -0.0103257809 -0.48027749077 -0.3827118352
## 1550 -0.4481584851 -0.3715020757 -0.3257262104  0.49700782338 -0.4679206105
## 1551  0.1763724840  0.6350731557 -0.1394090005 -0.23558284790 -0.5919013934
## 1552  0.0718399507  0.6726334566 -0.1432672754 -0.12194374772 -0.6346413763
## 1553  1.3101698909 -0.0939065921  0.2550649483 -0.32321617588 -0.8676033760
## 1554  0.0928503113  0.5576402278  0.2885816285  0.07661651136 -0.5960367385
## 1555  0.9926149241  0.0523397462  0.9358410651 -0.33316711532 -0.1586521440
## 1556 -0.0951456962  0.4144303651  0.1337617515  0.06962700976 -0.1603976310
## 1557  0.5750287682  0.2454321337  0.5299987335 -0.23761083107  0.0315653631
## 1558  0.9926149241  0.0523397462  0.9358410651 -0.33316711532 -0.1586521440
## 1559  1.3828561514 -1.4719549031 -1.7343094764 -1.02982566141 -1.9475966123
## 1560 -1.5798775242 -0.9789720135  0.1061659333 -0.02668926945  0.5786033563
## 1561 -1.5798775242 -0.9789720135  0.1061659333 -0.02668926945  0.5786033563
## 1562 -1.5798775242 -0.9789720135  0.1061659333 -0.02668926945  0.5786033563
## 1563 -0.2096108885 -0.5653170356 -0.0986407009  0.39151214992 -0.2798771174
## 1564 -0.2096108885 -0.5653170356 -0.0986407009  0.39151214992 -0.2798771174
## 1565 -0.2096108885 -0.5653170356 -0.0986407009  0.39151214992 -0.2798771174
## 1566  0.0867271308  0.1669833568  1.0931125902  0.66189054933 -0.6929023383
## 1567 -0.7969095672  0.5712693755 -0.9839254598 -0.34151132744  0.3552332100
## 1568 -0.2096108885 -0.5653170356 -0.0986407009  0.39151214992 -0.2798771174
## 1569 -0.9878755565  0.4492640530 -0.3207448595  0.14415436807 -0.6546619780
## 1570  0.0169351826 -0.0826365956 -0.2002473832 -0.08503132688  0.0191945039
## 1571  1.2452598243 -1.0070955783 -1.0436107407 -1.04626951724 -0.0069394274
## 1572 -0.0250753317  0.7726172107 -0.3050473999  0.40125649009 -0.2326021544
## 1573 -1.2249665902 -0.4568780862  0.1336048443 -0.48896138937  0.2526351341
## 1574  1.0395938543 -0.0889524635  0.3804865146 -0.67707370850  0.5498357628
## 1575  5.0491620414 -0.1661931966 -3.9307720663  1.09268659672  1.5221511012
## 1576  0.0820714404 -0.7833167585  0.0952858681  0.15273286938  0.0757473471
## 1577 -0.5811131990  0.4898787555 -0.3842312628 -0.38354252863  0.2987551386
## 1578  2.5539187767 -0.1343245985 -0.0825489390 -0.14409246332  0.1434765374
## 1579  0.6621786072 -0.4425966214  0.1852543452 -0.39901801490 -0.2288719242
## 1580 -0.0667876847  0.2177368028  0.1682280185 -0.32589907861 -0.5352837169
## 1581  0.2005614907 -0.2434379357 -0.5763771508 -0.04994373877  0.1892768144
## 1582 -0.0667876847  0.2177368028  0.1682280185 -0.32589907861 -0.5352837169
## 1583  0.8756566949 -0.5715380326  0.1715732614 -0.40132620333  0.1619815912
## 1584 -1.1838172695  0.1721487013 -0.4924109933  0.02890857753  0.2467899965
## 1585 -0.0966951379  0.2031307799 -0.1841336592  0.32560138171 -0.2877143531
## 1586  0.0769502175  0.0915977378  0.1475914476  0.35544910884  0.0947057092
## 1587 -0.3507442855  0.4359913498  0.2031104107  0.05485759398 -0.5140111232
## 1588  0.2787097284  0.5124009535  0.1349765056 -0.23279701763 -0.1175611568
## 1589  0.0798678511 -1.5500427043  1.4685202624  0.02213737747  0.2225051687
## 1590  2.0631587340 -0.2591573149 -1.0568001888  1.16128138201 -0.0416663853
## 1591 -0.0373561161 -0.4883482183  0.5050664520  0.69026967692 -0.7251568229
## 1592  0.8125703153 -0.1200113277  0.1620708793 -1.06579366441  0.0933433859
## 1593  0.1936550525  0.5062511842  0.2310099426  0.07935736022 -0.8085204546
## 1594 -0.2377419372  1.1409062250  0.6082815168  0.43431872000 -0.7684468612
## 1595 -0.2408605114 -0.0548179672 -0.1707581855 -0.35575470726 -0.9712205553
## 1596  0.1195549986  0.6745004806  0.6077800833 -0.24756247172 -1.0578036441
## 1597  0.1936550525  0.5062511842  0.2310099426  0.07935736022 -0.8085204546
## 1598  0.0677143109  0.8601385373  0.3213864046 -0.46872925460 -0.6120565780
## 1599  0.4503412053  0.4959984757 -1.1887603713  0.04216248958  0.4041825367
##               PC10          PC11
## 1     0.2676756897 -0.0486149089
## 2    -0.0628131998  0.1380986838
## 3     0.1873837439  0.1181916896
## 4     0.1303517471 -0.3166146403
## 5     0.2676756897 -0.0486149089
## 6     0.3714946631 -0.0366005927
## 7     0.3996626959 -0.1110056223
## 8    -0.0759700940 -0.3437010980
## 9     0.2371160663 -0.1169407049
## 10    0.0083102273 -0.0274530456
## 11    0.2137981086  0.0692063804
## 12    0.0083102273 -0.0274530456
## 13    0.1548857205 -0.4318746280
## 14   -1.0464607396 -0.1592945456
## 15    0.4940479170 -0.1016054092
## 16    0.4529442891 -0.1580198327
## 17   -0.1578775459  0.1651729349
## 18    0.5922294435 -0.2693064061
## 19    0.0470805215 -0.2965332688
## 20    0.2766398377  0.1504995264
## 21   -0.3074262215 -0.3959511721
## 22    0.1511264226  0.0674088959
## 23    0.0567602461  0.1173895518
## 24    0.8020813510 -0.0878551965
## 25    0.1071445141  0.0870404534
## 26   -0.1725905409  0.1559105930
## 27   -0.1560334061  0.0351271234
## 28    0.0567602461  0.1173895518
## 29    0.0902393322 -0.0183584855
## 30    0.2335552609 -0.2200150034
## 31    0.3673053222  0.0504207746
## 32    0.2722184684  0.1717803327
## 33    0.7777678601 -0.0737887377
## 34   -0.5099945217 -0.3252446475
## 35   -0.1311193093  0.4154883164
## 36    0.3661222998 -0.1257183619
## 37    0.3988181927  0.2857625099
## 38   -0.1980445633  0.1398579408
## 39   -1.0627893659 -0.4106870838
## 40    0.0372926335  0.1079930170
## 41    0.0372926335  0.1079930170
## 42   -0.3547306497 -0.0965485607
## 43    0.9956132324  0.1838729832
## 44   -0.6912122615 -0.0774506740
## 45   -0.2018294927 -0.1284083479
## 46    0.5815564168 -0.1349456707
## 47   -1.0352416703  0.0040677177
## 48   -0.2844386927 -0.0108428085
## 49   -0.4517434352  0.1883408954
## 50   -0.0641786961  0.3261828793
## 51   -0.5241879899  0.0002777575
## 52   -0.1357418986 -0.1913458486
## 53   -0.0767207911 -0.1967370565
## 54    0.2782848907 -0.1438741657
## 55    0.0852888027  0.0722806449
## 56    0.0859870847  0.0626159569
## 57   -0.9205890256 -0.1823268768
## 58   -0.1700399382  0.1509600013
## 59    0.1387822523  0.0580739743
## 60   -0.1591916620 -0.2448610750
## 61   -0.2776227947 -0.3314384351
## 62   -0.6566872991  0.1404803714
## 63    0.0206591830 -0.0408446548
## 64    0.1196908616  0.0835131567
## 65    0.1291268696 -0.0616569178
## 66    0.1291268696 -0.0616569178
## 67    0.3054442866 -0.0556873360
## 68   -0.0082260893  0.3739869713
## 69   -0.4626044450 -0.0046681488
## 70   -0.0843456624 -0.1732554604
## 71   -0.0871885947  0.0318677358
## 72    0.1010310698 -0.2136520437
## 73    0.0270244144 -0.1858425699
## 74   -0.3333724423 -0.0036901165
## 75   -0.2127786656 -0.1691099335
## 76   -0.4345937177  0.0468866376
## 77   -0.4345937177  0.0468866376
## 78    0.2125876385  0.1019684380
## 79    0.1785613723  0.0448114505
## 80   -0.0231144615 -0.0829346506
## 81   -0.3866748902  0.0762743523
## 82   -0.0070520289  0.0334511969
## 83   -0.7861873040  0.0664239760
## 84    0.5437620408 -0.0172667370
## 85   -0.6285896014  0.2932592851
## 86   -0.1624365934  0.0832891299
## 87    0.1718907029  0.0849294962
## 88   -0.2982329431 -0.1188670730
## 89   -0.0564444200 -0.1451991944
## 90   -0.0123130252  0.1081844869
## 91    0.1933477542  0.0271613346
## 92    0.1718907029  0.0849294962
## 93    0.0750205150  0.0350421645
## 94   -0.2982329431 -0.1188670730
## 95   -1.2319649487 -0.3899294614
## 96    0.5098391578 -0.2626922135
## 97    0.2235729465  0.1314839104
## 98   -0.4707728378  0.2066008832
## 99   -0.4921343865 -0.1117693901
## 100  -0.1322619525 -0.0822615252
## 101  -0.0624350377 -0.0594227697
## 102  -0.2637586931  0.0931152313
## 103  -0.1322619525 -0.0822615252
## 104   0.0591906678 -0.1947692754
## 105  -0.1688569185 -0.0620490231
## 106   0.0591906678 -0.1947692754
## 107   0.1776757129  0.0637785631
## 108  -0.7376300325  0.1915470811
## 109  -0.3371481854 -0.0186932166
## 110  -0.7858183542  0.0053819047
## 111  -0.1539023965 -0.0022513350
## 112   0.9823921676 -0.1342616180
## 113   0.9585216135 -0.1230000065
## 114   0.0395957825 -0.1396419002
## 115  -0.1539023965 -0.0022513350
## 116   0.5736575651  0.1360671983
## 117   0.0312529220  0.1325124840
## 118   0.2047860896 -0.0838760176
## 119   1.1782355500 -0.0578570137
## 120   0.1404685290 -0.1906080204
## 121  -0.0001928055 -0.3324077341
## 122   1.1782355500 -0.0578570137
## 123   0.1664216217 -0.0228213241
## 124   0.3235263041 -0.2288840353
## 125   0.6115840152 -0.4054070561
## 126   1.0662813540  0.1572528054
## 127  -0.6304513749 -0.3173939011
## 128  -0.6394080579 -0.3127984026
## 129  -0.1248898567 -0.2910334617
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## 1394  0.0699983175  0.0235307720
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## 1398  0.2098180648  0.0323659851
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## 1401  0.3316281239 -0.0407602162
## 1402  0.3316281239 -0.0407602162
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## 1405  0.0241048066  0.5033329105
## 1406 -0.0580438541  0.1403934441
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## 1421  0.4849550346 -0.0698224239
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## 1482 -0.4144182758  0.4405148289
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## 1485 -0.4766028977  0.0101052465
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## 1490 -0.3549621038 -0.0628773094
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## 1503  0.0204595331  0.0938151157
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## 1525 -0.4048825057  0.1297417443
## 1526 -0.1437384846  0.0300477696
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## 1528  0.1038781264  0.2077074887
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## 1530 -0.6411662495  0.0955025480
## 1531  0.2048958555 -0.0233415095
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## 1534 -0.1503090022 -0.2177840699
## 1535 -0.0791387436 -0.0317841054
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## 1538 -0.5578955231  0.1221793179
## 1539  0.1189567182  0.2570434204
## 1540 -0.5374087614  0.1989507935
## 1541  0.4102270393  0.2147466309
## 1542  0.2605227095  0.3173199248
## 1543 -0.6739435751  0.2434853957
## 1544 -0.0954100773 -0.4325247757
## 1545 -0.5366516522  0.2312285949
## 1546 -1.2110866226  0.2287514006
## 1547  0.0774175022  0.0754230421
## 1548 -0.0274322093 -0.2100909358
## 1549  0.1655202622 -0.0910546148
## 1550 -0.2551152603  0.1743440604
## 1551  0.1052475364  0.2267200474
## 1552  0.0398545238  0.1775516792
## 1553  0.0791475468  0.0920950520
## 1554 -0.1060372642  0.1501172996
## 1555 -0.3082174606  0.1733770828
## 1556 -0.3872383848 -0.1137851612
## 1557 -0.6295444739 -0.0656860409
## 1558 -0.3082174606  0.1733770828
## 1559 -0.6717817157  0.2421146895
## 1560  0.2761189037  0.1296707737
## 1561  0.2761189037  0.1296707737
## 1562  0.2761189037  0.1296707737
## 1563 -0.4546639999  0.0902736008
## 1564 -0.4546639999  0.0902736008
## 1565 -0.4546639999  0.0902736008
## 1566 -0.2950267102  0.0163011380
## 1567 -0.9326375764  0.4532805182
## 1568 -0.4546639999  0.0902736008
## 1569 -0.4172792289  0.0876049737
## 1570 -0.0502514637  0.0155869908
## 1571 -0.3201198194  0.0606353770
## 1572  0.0200911001  0.2358709377
## 1573 -0.7201850575  0.0476460167
## 1574  0.1372882421  0.2367245412
## 1575 -1.8873060823 -0.4116350454
## 1576 -0.6794423405  0.3830904984
## 1577 -0.9784532929  0.2433661203
## 1578 -0.2346187767  0.2339432201
## 1579 -0.0843867176  0.2244168989
## 1580 -0.2947573522 -0.1110887844
## 1581  0.0967033071  0.1474316895
## 1582 -0.2947573522 -0.1110887844
## 1583 -0.3239507020 -0.2022050471
## 1584 -0.3349628292  0.3302222749
## 1585 -0.7968940709  0.5359347815
## 1586 -0.6945523274  0.2425476842
## 1587 -0.5683584012  0.0557286227
## 1588 -0.4168900954  0.0723752448
## 1589 -0.2503424198  0.3899485324
## 1590 -0.9312215331 -0.0497980188
## 1591 -0.5487660642  0.0568514481
## 1592 -0.3672963489 -0.0688857915
## 1593 -0.2421726645  0.4027843262
## 1594 -0.6201664707  0.0199245906
## 1595 -0.3567394609  0.0533656577
## 1596 -0.4787288976  0.2411825169
## 1597 -0.2421726645  0.4027843262
## 1598 -0.7791600898 -0.0409097505
## 1599 -0.7791958634  0.4496398973

******************4) Model Insights PCA (10 points)************

Now after aggregating:

Obervations:

[1] Quality = Bad is towards -ve in PC1, PC2, PC3. Having highest varaibility in PC3 and PC2

PC3: had correlation with variations Alcohol

refer to correlations mapped earlier to decode PCA and analyse to get meaning from variables.

[2] PC2: free sulphur dioxide (negative), Total Sulphur dioxide (negative) and alcohol (+ve) relation.

[3] PC3: Volatile acidity (-ve),alcohol has high relation (+ve), free sulphur dioxide (+ve)

# Means of scores for all the PC's classified by Quality status
tabmeansPC <- aggregate(dftyp_pca[,2:6],by=list(quality=df$quality),mean)
tabmeansPC
##   quality        PC1        PC2        PC3         PC4        PC5
## 1     bad -0.1205425 -0.5539665 -0.4278955 -0.02839395 -0.1299321
## 2    good  0.1048931  0.4820480  0.3723441  0.02470772  0.1130637

sorted indices to rearrange the rows of the data frame tabmeansPC, resulting in a new data frame where the rows are sorted based on the values in the “quality” column in descending order.

2- indicates quality = good 1- indicates quality = bad

[1] Good quality wine is displaying +ve correlation

[2] Good quality wine is displaying -ve correlation

[3] also PC2 and PC3 have highest varibility with PC2 and PC3 indicating high variability for good and bad wine indicating a good criteria to differentiate and understand relation of variables with dependent variable

Mapped values:

[1] Good quality wine is displaying +ve correlation

[2] Good quality wine is displaying -ve correlation

[3] also PC2 and PC3 have highest varibility with PC2 and PC3 indicating high variability for good and bad wine indicating a good criteria to differentiate and understand relation of variables with dependent variable

dftyp_pca[,2:11]: This part selects columns 2 to 11 (inclusive) from the data frame

dftyp_pca. It subsets the data frame to include only these specific columns.

by: This argument specifies the grouping variable or variables. In this case, it’s specified as list(quality = df$quality), which means that the data will be grouped by the values of the “quality” column from the data frame df.

sd (Standard deviation): This is the function that will be applied to each subset of the data. In this case, it’s sd, which calculates the standard deviation.

after calculating standard deviation, transposition is done

viewing std deviation of Dependent variable with respect to PC’s.

Observation:

Chosen PC’s: [1] PC1 to PC5 have values above 1 indicating high std deviation with respect to dependent variable

tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$quality)),]
print(tabmeansPC)
##   quality        PC1        PC2        PC3         PC4        PC5
## 2    good  0.1048931  0.4820480  0.3723441  0.02470772  0.1130637
## 1     bad -0.1205425 -0.5539665 -0.4278955 -0.02839395 -0.1299321
tabfmeans <- t(tabmeansPC[,-1])
print(tabfmeans)
##              2           1
## PC1 0.10489313 -0.12054251
## PC2 0.48204803 -0.55396649
## PC3 0.37234415 -0.42789549
## PC4 0.02470772 -0.02839395
## PC5 0.11306368 -0.12993206
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$quality))
print(tabfmeans)
##           good         bad
## PC1 0.10489313 -0.12054251
## PC2 0.48204803 -0.55396649
## PC3 0.37234415 -0.42789549
## PC4 0.02470772 -0.02839395
## PC5 0.11306368 -0.12993206
# Standard deviations of scores for all the PC's classified by Quality status
tabsdsPC <- aggregate(dftyp_pca[,2:11],by=list(quality=df$quality),sd)

#Transpose the resulting subset by transposition on rows and columns of PC's and Quality
tabfsds <- t(tabsdsPC[,-1])

colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$quality))
tabfsds
##            bad      good
## PC1  1.6712482 1.8290347
## PC2  1.3320046 1.2490520
## PC3  1.0934233 1.2501508
## PC4  1.2697679 0.9306623
## PC5  1.0013641 0.9461063
## PC6  0.8055277 0.8167378
## PC7  0.7659343 0.7568395
## PC8  0.6728227 0.6298228
## PC9  0.6231237 0.5415072
## PC10 0.4422690 0.4105856

t-test of PC1 to PC5 with dependent varaible to obtain mean based on t-value and p-value

T-test: t-test of PC1 to PC5 with dependent varaible to obtain mean based on t-value and p-value:

Observations and Inferences: [1] PC1: The ratio of variances between the “bad” and “good” quality groups is not significantly different from 1

Inference (PC1): The variability in PC1 scores differs significantly between the “bad” and “good” quality groups, indicating that PC1 may capture important differences related to wine quality.

[2] PC2: The ratio of variances between the two quality groups is not significantly different from 1 (p-value = 0.06941).

[3] PC3: The ratio of variances between the two quality groups is significantly different from 1 (p-value = 0.0001727).

Inference (PC3): PC3 also exhibits significant differences in variability between the two quality groups, suggesting that PC3 may be informative for distinguishing between “bad” and “good” quality wines.

[4] PC4: The ratio of variances between the two quality groups is significantly different from 1 (p-value < 0.00000000000000022).

Inference (PC4):

PC4 shows substantial variability differences, further indicating its potential relevance for discriminating between wine qualities.

[5] PC5: The ratio of variances between the two quality groups is not significantly different from 1 (p-value = 0.1089).

Conclusion: In summary, PC1, PC3, and PC4 exhibit significant differences in variances between the “bad” and “good” quality groups, indicating potential heterogeneity in variances between the two groups for these components. PC2 and PC5 do not show significant differences in variances.

t.test(PC1~df$quality,data=dftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC1 by df$quality
## t = -2.5746, df = 1593.2, p-value = 0.01012
## alternative hypothesis: true difference in means between group bad and group good is not equal to 0
## 95 percent confidence interval:
##  -0.39718151 -0.05368977
## sample estimates:
##  mean in group bad mean in group good 
##         -0.1205425          0.1048931
t.test(PC2~df$quality,data=dftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC2 by df$quality
## t = -15.968, df = 1533.8, p-value < 0.00000000000000022
## alternative hypothesis: true difference in means between group bad and group good is not equal to 0
## 95 percent confidence interval:
##  -1.1632778 -0.9087512
## sample estimates:
##  mean in group bad mean in group good 
##         -0.5539665          0.4820480
t.test(PC3~df$quality,data=dftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC3 by df$quality
## t = -13.654, df = 1597, p-value < 0.00000000000000022
## alternative hypothesis: true difference in means between group bad and group good is not equal to 0
## 95 percent confidence interval:
##  -0.9151961 -0.6852832
## sample estimates:
##  mean in group bad mean in group good 
##         -0.4278955          0.3723441
t.test(PC4~df$quality,data=dftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC4 by df$quality
## t = -0.94165, df = 1344.4, p-value = 0.3465
## alternative hypothesis: true difference in means between group bad and group good is not equal to 0
## 95 percent confidence interval:
##  -0.16372836  0.05752503
## sample estimates:
##  mean in group bad mean in group good 
##        -0.02839395         0.02470772
t.test(PC5~df$quality,data=dftyp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC5 by df$quality
## t = -4.9656, df = 1538.1, p-value = 0.000000761
## alternative hypothesis: true difference in means between group bad and group good is not equal to 0
## 95 percent confidence interval:
##  -0.3389829 -0.1470085
## sample estimates:
##  mean in group bad mean in group good 
##         -0.1299321          0.1130637

******************4) Model Insights PCA (10 points)************

Performing F-test to calculate Variance for Principle components w.r.t Dependent variable:

Observations:

PC1: The F-test result shows a p-value of 0.01129, indicating a significant difference in variances between the “bad” and “good” quality groups for PC1.

The ratio of variances is estimated to be approximately 0.8349, suggesting that the variance of PC1 scores is lower in the “good” quality group compared to the “bad” quality group.

PC2: With a p-value of 0.06941, the F-test result for PC2 does not show a significant difference in variances between the quality groups. The estimated ratio of variances is approximately 1.1372, indicating a slight increase in variance in the “good” quality group, although not statistically significant at conventional levels.

PC3: The F-test result yields a highly significant p-value of 0.0001727, indicating a substantial difference in variances between the quality groups for PC3. The estimated ratio of variances is approximately 0.765, suggesting a lower variance in the “good” quality group compared to the “bad” quality group.

PC4: Similar to PC3, the F-test result for PC4 indicates a highly significant difference in variances between the quality groups (p-value < 0.00000000000000022). The estimated ratio of variances is approximately 1.8615, suggesting a higher variance in the “good” quality group compared to the “bad” quality group.

PC5: The F-test result for PC5 yields a p-value of 0.1089, indicating no significant difference in variances between the quality groups. The estimated ratio of variances is approximately 1.1202, suggesting a slightly higher variance in the “good” quality group, although not statistically significant.

Conclusion:

In summary, PC1, PC3, and PC4 exhibit significant differences in variances between the “bad” and “good” quality groups, while PC2 and PC5 do not show significant differences. These results provide insights into the variability of principal component scores across different wine quality groups.

options(scipen=999)
## F ratio tests
var.test(PC1~df$quality,data=dftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC1 by df$quality
## F = 0.83491, num df = 743, denom df = 854, p-value = 0.01129
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.7266931 0.9598895
## sample estimates:
## ratio of variances 
##          0.8349068
var.test(PC2~df$quality,data=dftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC2 by df$quality
## F = 1.1372, num df = 743, denom df = 854, p-value = 0.06941
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.9898364 1.3074757
## sample estimates:
## ratio of variances 
##           1.137236
var.test(PC3~df$quality,data=dftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC3 by df$quality
## F = 0.76498, num df = 743, denom df = 854, p-value = 0.0001727
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.6658324 0.8794985
## sample estimates:
## ratio of variances 
##          0.7649832
var.test(PC4~df$quality,data=dftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC4 by df$quality
## F = 1.8615, num df = 743, denom df = 854, p-value < 0.00000000000000022
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  1.620233 2.140167
## sample estimates:
## ratio of variances 
##           1.861506
var.test(PC5~df$quality,data=dftyp_pca)
## 
##  F test to compare two variances
## 
## data:  PC5 by df$quality
## F = 1.1202, num df = 743, denom df = 854, p-value = 0.1089
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.9750283 1.2879156
## sample estimates:
## ratio of variances 
##           1.120222
  1. Model Insights (10 points): PCA

Goal: Levene’s tests (one-sided): The one-sided p-value indicates the probability of observing a result as extreme as the one observed, assuming that the variances of the two groups are different in the direction of interest.

In summary, this code segment is useful for assessing whether there are significant differences in variances between the “bad” and “good” quality groups for each principal component, providing insights into the homogeneity of variances across different quality groups.

Observations and Inferences: Chosen PC’s: PC1, PC2, PC3, PC4, PC5

PC1:

The F value is 9.7234 with a corresponding p-value of 0.001852. The p-value is significant at the 0.01 level. Inference: There is evidence to suggest that the variances of PC1 scores between the two groups (“bad” and “good” quality) are significantly different.

PC2:

The F value is 3.0446 with a corresponding p-value of 0.0812. The p-value is not significant at the 0.05 level. Inference: There is no strong evidence to suggest that the variances of PC2 scores between the two groups are significantly different.

PC3:

The F value is 8.864 with a corresponding p-value of 0.002952. The p-value is significant at the 0.01 level. Inference: There is evidence to suggest that the variances of PC3 scores between the two groups are significantly different.

PC4:

The F value is 4.6593 with a corresponding p-value of 0.03103. The p-value is significant at the 0.05 level. Inference: There is evidence to suggest that the variances of PC4 scores between the two groups are significantly different.

PC5:

The F value is 2.518 with a corresponding p-value of 0.1128. The p-value is not significant at the 0.05 level. Inference: There is no strong evidence to suggest that the variances of PC5 scores between the two groups are significantly different.

# Levene's tests (one-sided)
library(car)

#leveneTest function takes the formula PC(1 to 5)~df$quality where PC1 represents the scores of PC1 to 5 and df$quality represents the quality groups. 

#eg: (p_PC1_1sided <- LTPC1[[3]][1]/2 : extracts the p-value from the result of the Levene's test for PC1 and divides it by 2 to get a one-sided p-value. 

(LTPC1 <- leveneTest(PC1~df$quality,data=dftyp_pca))
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value   Pr(>F)   
## group    1  9.7234 0.001852 **
##       1597                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC1_1sided <- LTPC1[[3]][1]/2)
## [1] 0.0009259385
(LTPC2 <- leveneTest(PC2~df$quality,data=dftyp_pca))
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value Pr(>F)  
## group    1  3.0446 0.0812 .
##       1597                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC2_1sided=LTPC2[[3]][1]/2)
## [1] 0.04059939
(LTPC3 <- leveneTest(PC3~df$quality,data=dftyp_pca))
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value   Pr(>F)   
## group    1   8.864 0.002952 **
##       1597                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC3_1sided <- LTPC3[[3]][1]/2)
## [1] 0.001476128
(LTPC4 <- leveneTest(PC4~df$quality,data=dftyp_pca))
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value  Pr(>F)  
## group    1  4.6593 0.03103 *
##       1597                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC4_1sided <- LTPC4[[3]][1]/2)
## [1] 0.015517
(LTPC5 <- leveneTest(PC5~df$quality,data=dftyp_pca))
## Levene's Test for Homogeneity of Variance (center = median)
##         Df F value Pr(>F)
## group    1   2.518 0.1128
##       1597
(p_PC5_1sided <- LTPC5[[3]][1]/2)
## [1] 0.05637501

******************4) Model Insights PCA (10 points)************

Observations:

Quality= good

PC2 and PC3: seems to be correlated to Good quality wine, as green data points are densely populated towards positive value of PC2 and PC3 x-axis, y-axis

Quality = bad

seems to be uniformly distributed but skewed little towards negative scale of x-axis(PC2).

****Visualization ****

# Plotting the scores for the first and second components
plot(dftyp_pca$PC2, dftyp_pca$PC3, 
     pch = ifelse(dftyp_pca$quality == "good", 21, 2),  # Circles with a border for "Good", triangles for "Bad"
     bg = ifelse(dftyp_pca$quality == "good", "#006400", "red"),  # Darker green for "Good" points
     col = ifelse(dftyp_pca$quality == "good", "green", "red"),  # Color assignment for the border
     cex = 1,  # Normal size for both "Good" and "Bad"
     xlab = "PC2", ylab = "PC3", main = "Wine Quality against PC1 & PC2")
abline(h = 0)
abline(v = 0)
legend("bottomleft", legend = c("Good", "Bad"), pch = c(21, 2), col = c("green", "red"), pt.bg = c("#006400", NA))

******************4) Model Insights PCA (10 points)************

Observations: log(eigen value)

[1] Seems like log(Component varaince) drops below 0 after PC5 [2] At PC10 log seems to drop at -2

plot(log(eigen_df), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")

print(summary(df_pca))
## Importance of components:
##                           PC1    PC2    PC3    PC4     PC5     PC6     PC7
## Standard deviation     1.7604 1.3878 1.2452 1.1015 0.97943 0.81216 0.76406
## Proportion of Variance 0.2817 0.1751 0.1410 0.1103 0.08721 0.05996 0.05307
## Cumulative Proportion  0.2817 0.4568 0.5978 0.7081 0.79528 0.85525 0.90832
##                            PC8     PC9    PC10    PC11
## Standard deviation     0.65035 0.58706 0.42583 0.24405
## Proportion of Variance 0.03845 0.03133 0.01648 0.00541
## Cumulative Proportion  0.94677 0.97810 0.99459 1.00000

Observations:

[1] PC1 to PC4 seem to have variance above one indicating meaning and should be visualized and decoded further

plot(df_pca, xlab = "Principal Component")

#get the original value of the data based on PCA
center <- df_pca$center #loading center values of PCA during transformation

scale <- df_pca$scale  # retrieves the scaling values used during the PCA transformation.


new_df <- as.matrix(df[1:11])

scale(new_df,center=center, scale=scale):

scales the original data new_df using the centering and scaling values obtained during PCA.

%*%df_pca$rotation[,1]:

performs matrix multiplication of the scaled data with the first principal component obtained from PCA, which essentially projects the data onto the first principal component.

From this we can further extract information and contribution of each attribute in respective principal components.

drop(scale(new_df,center=center, scale=scale)%*%df_pca$rotation[,1])
##    [1] -1.6190233808 -0.7989199991 -0.7482450102  2.3569352844 -1.6190233808
##    [6] -1.5832119779 -1.1011195532 -2.2480043771 -1.0865466057  0.6545847432
##   [11] -1.1248523852  0.6545847432 -3.0259143987  1.5384164486  1.5647785548
##   [16]  1.6207417506  1.1741982777  2.6943618301 -0.7222123697  3.3342696553
##   [21]  0.6234495719 -0.2059201160  0.6961895123  0.0530890262 -0.8782805799
##   [26] -1.1642698338 -0.2393189176  0.6961895123 -1.7346751593 -1.3219581716
##   [31] -1.5592690050 -1.8050008848 -0.0895459518 -0.0867786299 -1.0837568763
##   [36] -0.5614524459 -0.8278540247  0.4339239895 -2.9857396410  0.7641366874
##   [41]  0.7641366874  0.3507712392  1.4009534162  0.3617225771 -2.1413294956
##   [46] -4.2775856693  0.2331430018  1.2327080334 -0.9389723339 -0.6576468843
##   [51]  0.5882230958 -1.5606289219 -1.5208686045  0.8461291444 -0.2549027582
##   [56] -0.7112083086  2.3003794236  0.3128443129 -0.7529628698 -0.5177435570
##   [61]  0.5326550505  0.7033615032 -0.6972955953 -1.5574365312 -1.7058880733
##   [66] -1.7058880733 -1.0600479370 -1.9571393728  1.4023857653 -0.7577244093
##   [71] -0.9999191681 -0.7695600669 -0.8562065492 -0.1462766933  2.0689381719
##   [76]  0.9132489307  0.9132489307 -2.1682947506 -1.6932037651  0.8949146807
##   [81] -1.3094380643  4.2819216263  0.1196024010  2.0986279913 -0.2790824419
##   [86] -1.2983952432  3.3203917603 -0.5115931700  2.5076218099 -1.3568807729
##   [91] -0.1747656004  3.3203917603  3.4094800686 -0.5115931700 -4.6345864975
##   [96] -4.0927389504 -1.8938782706 -0.3217304729 -1.5393328235 -0.2192307179
##  [101] -0.2904842848 -0.4650346765 -0.2192307179 -0.3440831820 -0.7784454102
##  [106] -0.3440831820  4.4437241847 -0.7903975135  1.1210572328  0.7757945360
##  [111]  0.3891875737 -0.0669049221 -0.0201665498  1.6116220721  0.3891875737
##  [116]  1.1698071038 -0.1289330701 -0.8434294325 -0.2852066931 -1.3645292367
##  [121] -1.1256407134 -0.2852066931 -1.5075644741 -1.2698331012 -0.9868665687
##  [126]  0.6533937651 -2.8296888090 -2.8856553229 -0.6487334280 -1.4346891605
##  [131]  0.7289523106 -3.1805724630 -3.1805724630 -1.9396816470 -1.3976085562
##  [136] -0.0815424656 -0.0882906684 -0.3093735873 -0.6507117783 -0.6374338891
##  [141] -0.0815424656 -0.0882906684 -3.8605516273 -1.3641258354 -3.8605516273
##  [146]  0.9475601351 -2.8652698825  1.3496627748 -1.4143329865  0.0462106670
##  [151] -0.0523283441  8.6506175515 -1.5478779955 -1.5478779955  0.2712096264
##  [156]  0.2641282213  0.2712096264  0.2641282213 -1.8498615530 -1.6111528310
##  [161] -1.2859639597 -0.1120192706 -1.0742579809  0.0226183909 -0.0200148627
##  [166]  0.4788210839 -1.5048751507 -1.5753352298 -1.9719192034  2.8717600321
##  [171] -1.7369389890 -0.0779569541 -0.0779569541 -1.7779866591 -0.6624433130
##  [176] -1.0754554515 -0.6624433130 -0.6169172941 -1.9660188094  0.0007361586
##  [181]  0.0007361586  2.6388040315 -1.5905338598 -1.3679174303 -1.3220828649
##  [186]  1.3202913800  0.3512441109 -1.0268162818  0.3302101255  0.2941554682
##  [191]  0.6849249373 -1.1089200492 -0.5337173226 -0.5312619075 -0.5312619075
##  [196] -0.0562276348 -0.8386778425  3.1677209277 -3.6115490683 -3.2161574621
##  [201]  1.4045752635  2.4110640638 -1.0590735011 -0.3823451122 -0.3370745742
##  [206]  3.7214910153  3.7214910153 -0.3599005233  0.4468686366  2.1823798659
##  [211]  0.8345613544 -0.5724415472  2.3488234226 -0.7419871933 -0.3748185502
##  [216]  0.6051692411 -0.0858886685 -0.7007545958 -1.0078732101 -0.0096018066
##  [221]  0.0959528102 -0.0436767558 -1.9279513770  0.1546931895  0.0784825203
##  [226] -0.5985753362  3.8407190827 -0.3415062675 -0.5985753362 -1.1369815155
##  [231] -3.3203963427 -0.9127565249  0.4593750278 -1.1369815155 -1.2030535048
##  [236] -1.2458929692 -1.2458929692 -1.2898703502 -1.2458929692 -1.2030535048
##  [241]  2.7052732283  2.9507230143 -0.4067664560  4.3834559142  4.3834559142
##  [246] -1.1971770943 -1.4173947547 -0.3856903866 -1.2329684667 -1.1971770943
##  [251]  2.0070741656 -1.4713199674  2.2019356945 -0.0855690526 -1.4713199674
##  [256] -0.0533098400  1.3084545104 -1.7824423313  5.1529261306  1.8926316087
##  [261] -0.0308251162 -1.8610808098 -1.1787535779 -0.0206363712  3.1265999169
##  [266]  2.2239393306 -1.0016620752  0.6745583099 -1.1449991099  3.3436547984
##  [271] -0.7246593448  3.3436547984  2.7705825728 -0.2353655344  0.4274125078
##  [276] -0.7246593448 -1.1449991099  3.3436547984  2.0178157279  1.2353152770
##  [281]  2.9573317128  3.4026121669 -0.6281781983  1.2353152770  0.8561730111
##  [286]  0.8561730111  3.0286257824 -0.4958104021  0.0532249793  3.5725192019
##  [291]  0.0532249793  3.1371058691  1.2856424772 -0.5789261714  4.3735065308
##  [296]  2.6545793026  1.0258089683 -1.4935260117 -1.2479747539 -1.6813440640
##  [301] -1.1261189476  1.9380230911 -0.4495046383 -0.8925519301  1.1161123396
##  [306]  2.1596261591 -0.4909436553  2.5740362637  2.6158522254 -0.2271865925
##  [311]  2.1596261591 -0.3754289614  0.7790545576  0.3709803383 -0.3182426983
##  [316] -0.5324568811  0.9857340146  0.0682013843  0.8065195761  0.0682013843
##  [321]  0.8065195761  1.0913378105 -0.5786493035  1.5382273586  2.7692650017
##  [326]  2.7692650017  3.0873061094  2.0063423101  3.8459792045  1.5748601207
##  [331]  2.1147976115  2.1147976115  0.1785995334 -0.3865884068 -1.1525342309
##  [336]  2.6709356731 -0.1732675216  0.1843473050  3.6999638933  4.3587223617
##  [341]  3.8788860031  1.8071734923  1.9883293821  1.9883293821  2.9957675795
##  [346] -1.7610389940 -2.4211980941  4.0617329780  1.6795446529  0.0815424640
##  [351]  1.8206498952  0.0657245690 -0.5213494466  4.3839964082 -1.3511585954
##  [356] -2.7049351652  2.7225920015  2.1054762294  3.6377038912  3.7402299853
##  [361]  0.2954347898  0.8135790155  2.9760271811  3.6706958376  4.3892799173
##  [366]  1.9808037810  4.3892799173  2.5916278305  2.8673289530  1.9119913874
##  [371] -1.8490125711  0.7865851323  1.3362106119  0.3247468020  4.7876029568
##  [376]  3.5932507026  3.0130182802  1.9119913874  3.2331876694  0.6693528537
##  [381]  1.3554499227  4.5920898329  1.3554499227  1.3554499227  0.0047823430
##  [386] -0.7391286994 -0.0154886172 -0.5647850001  0.0275182472  1.4388821018
##  [391] -3.6346031116  4.5920898329  1.5943891646  1.1997505915  3.2669997767
##  [396]  3.1753769295 -0.7935544314  2.3157778903  2.3157778903  0.0193242204
##  [401] -0.7935544314 -0.6203987865  2.9954685936  2.2776909622 -0.6129961912
##  [406]  0.6127886296  1.3366507824  3.1079036467  2.4571333684  2.8640470336
##  [411]  0.6983753098  0.7179048121 -0.6883471565  2.3208606124  0.8290338411
##  [416]  1.9658957174  1.7342678135 -1.7268536455  2.8272604901 -2.2384733786
##  [421]  0.5104560598 -2.9379453288 -1.9078394555  2.3092629911 -1.9078394555
##  [426] -2.9379453288 -2.6698811458  0.2005993874  0.6336576249  2.8248308132
##  [431]  2.3092629911  0.2126650030  2.5647785520  3.2132819200  2.8499349677
##  [436]  3.2132819200 -0.6253324578  2.6750164540  2.8499349677 -0.5519972372
##  [441]  4.4104777611  3.0487796426  5.5353026325  1.0486353799 -3.1366432904
##  [446]  0.1004276569  3.3902207995  0.8056683330  0.1608407480  3.2824688943
##  [451]  3.2824688943  3.9212462064 -1.5119182559  2.5537422970 -0.8503685741
##  [456]  2.3663151025  0.5148554636  0.4877010264  2.5537422970  2.7506550682
##  [461]  0.8213194793  0.2756233733  2.2887459152  1.5422026457  3.3111852800
##  [466]  1.9520019204  1.5025887554 -0.0783413905  3.2260222552 -1.2199010844
##  [471]  3.7806147396  0.9663272335  3.2880736770  1.5885087723  2.4564707668
##  [476]  0.9269953314  1.4100404940  2.4585284773  0.9269953314  0.4882581689
##  [481]  4.4331012560  1.9260510625  3.7219672565  3.7566418720  2.4835011368
##  [486]  0.7730634181  0.7730634181  0.7754386549  2.8427578376  1.1325865363
##  [491]  0.2546396254  0.2742794474  0.3838318675  0.2609030033 -1.0259683220
##  [496]  1.9453179863 -0.1323202712  0.0746504001  1.9453179863  0.2609030033
##  [501] -0.1323202712  3.0740056348  3.0740056348  2.4001570896  2.2312431689
##  [506]  1.8009790711  2.1319952494  2.5085956265  1.3462990796  3.9267610227
##  [511]  3.0233474835  1.3462990796  2.8208511914  2.2003808022  2.2003808022
##  [516]  2.6435464998  2.8782225235  2.6338559267  1.9552765317  0.3565170016
##  [521]  1.7066772449  0.3170780339  1.2406867883  1.3771074539  1.3844493799
##  [526]  1.3410589741  0.3565170016  0.0726602276  1.2351886623  0.9444469397
##  [531]  1.0135709739  2.9374344615  2.9374344615  0.4731931599  1.2182102551
##  [536]  1.0135709739  0.9444469397 -0.5203604485  3.4414459596  3.0257055388
##  [541]  0.8966116493  2.0027718933  0.3167933675  1.8242062565  5.5003604339
##  [546]  1.8234269211 -0.2214901369  2.1861450699  3.0835287410  1.3531187498
##  [551] -1.4168217862  1.1676454978  1.3578562148 -4.0639695509  5.0903446976
##  [556]  5.0903446976  2.7259424294  5.1184484969  2.7259424294  3.0619207947
##  [561]  2.4566123568  1.2598392395  1.7436745235  0.6937115471  3.0619207947
##  [566]  2.4566123568  0.9750974328  0.9750974328  2.3670218236 -1.9079911544
##  [571]  2.6843706293 -1.9079911544  2.0098230436  1.4051419287  2.4094212911
##  [576]  3.0386193461  0.4492157693  1.1698659635  1.1485427391  1.8136205644
##  [581]  2.5053310512  2.5053310512  2.3099668814  2.9384057937  2.6409076451
##  [586] -0.3281823776  3.0698464544 -0.4137554716 -3.5323125244  2.2877256712
##  [591]  1.0588377991 -0.6458707802  1.0588377991  2.2448292655 -0.7072350554
##  [596]  1.6987890950  3.0816260835  2.4441081104 -0.1876797616  3.2686798844
##  [601] -0.7750688861  3.3677954563 -1.1296098743  3.3677954563  0.5167240728
##  [606] -0.0421897513  1.1372793216  0.7136544372  2.1477209667 -1.9138056976
##  [611]  1.1725698019  3.9229649729 -1.2215029021  0.3909134134  2.3414616671
##  [616]  0.7541133639  0.7541133639  3.2315705622  3.0988015816  2.7495032393
##  [621]  0.3238192283  0.2413929414  0.7892964765 -0.2895111666 -0.5074863403
##  [626] -0.5074863403  0.3023997610  0.3023997610  0.4546272277 -0.1502794070
##  [631]  0.4546272277  2.3302690054 -0.5638691680  0.4840736254 -0.1916634547
##  [636] -1.4545428918  0.2829088144  0.1791229257 -0.9912326773  1.9299475446
##  [641]  1.0728456949  0.6986170436  1.0728456949  0.6986170436  1.0728456949
##  [646]  0.0516123430 -0.9522409339 -1.3571472887 -0.0148188811  0.0730832368
##  [651]  2.5930748917  0.5235881412  4.7092275291  1.7120439632  1.2847153310
##  [656]  1.4348163962  2.5930748917  3.0161878260 -0.5469547541 -1.5265409477
##  [661] -0.5469547541  0.2240558964 -0.9086472195  2.1680971829  3.3047694277
##  [666]  0.5128181265  1.4488820420  3.0618655706  0.6594202008  3.0618655706
##  [671] -0.4756540111 -0.3553170343  0.1911368607 -0.3553170343  2.2961796834
##  [676]  1.0806917507  2.2961796834 -0.9156804674 -1.1359334190  1.9501037512
##  [681]  3.5076923844 -0.1468564617  0.2196113221 -0.9502950855  0.1618231077
##  [686] -0.9502950855 -1.1278954647  0.7754448806 -1.7295760640  1.7667765702
##  [691] -2.6796319383 -0.2411098372  4.0863559656  0.7945698336  0.7795840176
##  [696] -4.7570170106 -1.5027212153 -1.5027212153  0.8850818655  2.6020749372
##  [701]  1.2548205104 -1.5027212153 -1.5210472578  0.6280637866 -0.5386257098
##  [706] -0.5060846684 -1.9090352061 -0.8258935560 -1.0439575229  1.4297631105
##  [711]  1.3480066416  0.8701260759 -0.5155006970  0.1142581515  0.3555203142
##  [716] -0.6215288318  0.1142581515 -0.2946467984 -0.4353694587 -1.3497063692
##  [721] -0.4353694587  1.0417457870 -0.2622641931  2.2930946569 -2.3695525657
##  [726] -0.1248637338 -0.5077890181 -1.5866951178 -1.5866951178 -3.2959842750
##  [731]  3.3703914361 -0.6431042654 -1.7307727314 -0.4942352456 -0.4854639045
##  [736] -1.1760580802 -1.1760580802 -0.4484857621  1.1452016678 -0.3011096966
##  [741] -0.6914087775  0.6551926626 -1.6462958348  2.9949658078  2.7799871931
##  [746] -0.8001888147  0.5931393943  0.7604462726 -0.8479286141 -0.8001888147
##  [751] -0.2675412924 -0.2675412924 -0.4823718117 -0.2675412924  3.5828218360
##  [756] -2.5882975604 -3.5691862362 -1.2300729390 -1.2300729390  0.7072286790
##  [761]  0.5070425191  0.1443651950 -0.9823951857  0.1443651950  0.0936464036
##  [766]  0.1080593870  0.4711701416  0.1243047088 -1.7064929338 -1.4126382690
##  [771] -1.7064929338  0.3363144163  0.5643953017  1.0051199931  0.9771608383
##  [776] -2.2290091065 -0.6615625670 -0.5629150936  0.2880646630 -1.3426486215
##  [781] -0.6217883321 -1.4268600629 -0.7527717281 -1.4268600629 -1.6451886176
##  [786]  1.4574000102  1.4574000102  1.0388595499  1.0388595499  0.6379601043
##  [791]  0.4544341965  0.2440909587 -1.3965051923 -1.4997217522  1.0696326891
##  [796]  2.4479889198  1.3981878268  0.6149311533  0.8463407705  0.8463407705
##  [801] -0.7433761582 -0.2952003988 -3.3005506786 -0.1836637810  0.0231833536
##  [806] -0.4695237098 -0.2087256144 -0.4695237098  0.3007698951  0.0764251040
##  [811] -1.1890236274  3.2756178513  1.5053947146 -1.2836164505  2.9763061398
##  [816]  1.5053947146  0.7583820815  0.9937439682 -1.5672663308  0.5372440416
##  [821] -1.4655912406 -4.1758506384 -1.6118208200 -1.6118208200 -0.2592232220
##  [826] -1.1079324675 -0.5875044985 -1.1079324675 -1.9100280725 -2.6245202017
##  [831] -1.5349910966 -2.6245202017  1.6253595491  1.9932304384 -0.3583699613
##  [836] -1.3870102749 -2.1434101500 -2.1434101500  1.1958045738 -1.8895107902
##  [841]  1.7265331598 -1.6786061161  1.5435149849 -0.3123181549  1.4467584987
##  [846] -1.6376925175 -1.6376925175 -1.0578238539 -1.6376925175 -1.6135692582
##  [851]  0.8383283727  0.8383283727  1.3424325811  0.1138528986  0.1138528986
##  [856] -2.0694525691  0.1138528986  0.0781816742  1.9813340287 -1.3404938162
##  [861] -1.4262102968 -2.5204988910 -0.2362628364 -1.4856381662 -1.4262102968
##  [866] -1.4525606224 -1.2267239901 -1.1761199099 -1.3404938162 -1.6876496610
##  [871] -2.4403725399 -2.2862066951 -0.9810409090  0.4863840013  1.6310899129
##  [876]  0.7840480431 -1.7760809302 -2.4403725399  0.2933908880 -1.5251891591
##  [881] -0.0843722099 -2.1788399203  0.8638678490 -1.5251891591  0.2933908880
##  [886] -0.2467583576 -0.2762469851  1.0736712984 -2.1907976053  2.5781750541
##  [891] -0.9635339420 -1.6319396954  0.9900930101 -1.6319396954 -1.5874385541
##  [896] -1.8579646941 -0.0358885314 -1.8579646941 -0.0358885314 -1.5030461838
##  [901] -0.0445460132 -1.4960116480 -1.4960116480 -1.3139119145 -1.3139119145
##  [906]  0.5730783709 -0.5902039533 -2.8613085572 -1.4755169741 -0.9405889574
##  [911]  0.9249772244  2.5187721457  0.6159549852  1.0191453893 -0.9405889574
##  [916]  0.2477249174 -2.6185074429  0.5453972996  0.2524504255 -1.0499103951
##  [921]  1.0335398033  0.2524504255 -1.0499103951  0.5453972996  0.1363671106
##  [926]  0.0653092792  0.7298473824  0.1439260476  0.1363671106  0.1331766935
##  [931] -2.1339230114 -1.3733506754 -0.4469897279 -1.3733506754 -2.1339230114
##  [936] -0.0006385448 -0.0006385448  2.1181114655 -0.8709115498 -2.5480099542
##  [941]  0.5648128008  1.0679246591  1.5899546566  1.2334433723  0.5046874206
##  [946]  1.2571827796  2.0792416335  0.1329178189  0.4530389182  0.4530389182
##  [951]  0.4530389182  0.1329178189  0.0651340999  0.8107129267 -0.7745710086
##  [956]  0.8437243245  0.7114707118  0.8447671694 -1.6683654481 -0.7810361720
##  [961]  0.2169593784 -0.8188084292 -1.1410638547  0.8854650000  0.2169593784
##  [966]  0.3022742374  0.8801810210  0.2374852901  0.1230599105 -1.3964723164
##  [971]  1.5866049448  1.5866049448  1.3684382856 -0.2214779996  0.7830179587
##  [976] -0.6043311386 -0.6043311386  0.7243532532 -0.8696541856  2.0654286326
##  [981]  0.4130091449 -0.0026164093 -1.0392038117  0.4130091449  2.0654286326
##  [986] -1.9649983508  0.4074557373 -0.6759148479 -0.2863638456  0.7950246409
##  [991] -0.2863638456 -0.6889745007 -1.4422301438 -0.6889745007  1.9162762057
##  [996] -1.0788223830 -3.6508563635 -3.6508563635 -0.1852979109 -3.6051215740
## [1001] -0.9397047159  1.0092364511  0.4493997617 -1.6153190699 -0.1567545890
## [1006] -1.6153190699  0.4493997617  0.4612273395  0.7755577952  1.1878309015
## [1011] -0.1064233368  0.5021854794 -1.1993248862 -1.5729317663 -0.7143899278
## [1016]  1.8569440847  0.1662851728 -0.5158032245 -0.5158032245 -1.5305735079
## [1021]  2.0564703173  2.0564703173 -1.4018563833  0.0474004970 -1.3434856892
## [1026] -0.7400140317 -1.1786805220 -3.1673972353 -0.8291878973 -1.3434856892
## [1031] -2.0693199544 -1.6079546499 -0.7452891991 -0.9721179817 -0.1323453435
## [1036]  1.2536645651 -0.5467211896 -1.4741802592  0.7246510092  0.1562830487
## [1041] -2.0820949410 -1.0940532504  0.1562830487  2.0225003397 -1.4851746237
## [1046] -1.9222880010 -1.5942850527 -1.2060379166  0.7409166582  0.7437478254
## [1051] -1.2060379166  4.2162276498 -3.4968403938 -0.2841906742  0.6040498059
## [1056]  0.6040498059  0.8997341230  0.7972954214  1.5575547700  0.8997341230
## [1061]  2.7951299384  0.4593969268  0.1638407106  1.5322471535 -1.6056656004
## [1066] -0.6127640740 -2.0731462052  2.3549073368  2.3549073368 -0.0805716229
## [1071]  0.9652212690  0.6744580243 -0.4945297161 -0.1035886412  0.6744580243
## [1076]  0.6821935466  1.4669131406  1.8161800514  1.8161800514  1.3705473838
## [1081]  0.9483637811  1.3784306740 -0.5130708359  0.3640339410 -0.5130708359
## [1086] -0.9418345631  0.5178170446 -0.1192679699  2.7752052933  2.7752052933
## [1091]  1.5977745444 -0.1350369366 -1.8640150455  0.6250735791 -1.1667348255
## [1096]  1.3833459029 -1.1667348255  0.5048807336  0.9676095272  0.5048807336
## [1101]  0.4238493295 -1.2578790406 -2.3571250047 -1.2578790406 -0.7561956706
## [1106] -2.0606272685 -0.1361446284  0.6526547323 -0.6013034462  2.2705329537
## [1111] -0.8178192052 -2.7170083534 -0.2578831168  1.2823604321 -2.4577856304
## [1116] -1.6558545214 -1.6558545214 -1.6558545214 -2.0180357789 -3.5235965067
## [1121] -0.8207138803 -2.7099348979 -3.2496795281  1.4103971729 -2.4949080705
## [1126]  0.1764756591 -2.4149244741 -2.9672855315  1.4636996652  1.6023043619
## [1131] -0.1752010446 -1.6709102997 -0.9540611058 -0.6145483318  0.0612159246
## [1136] -0.4246519111  1.4508338527  1.4508338527  0.5701224680  0.0274242293
## [1141] -0.3660102601  0.4560924793 -1.6395363665 -0.6665709969 -0.8175597534
## [1146]  0.2696369206  0.1810606054  1.3284913183 -0.3225616374  0.6934025275
## [1151] -0.1997322016 -2.3056415062  0.1859398140  0.6667852317 -2.4208052850
## [1156]  0.1859398140  0.4864959579 -2.6024972836  0.2159213758  1.6583614445
## [1161]  2.0700022370  0.6260656600  0.5049000296 -0.1945416101 -0.1945416101
## [1166]  3.4251623670  2.1034272622  0.1796100458 -0.9331316032 -0.6929864871
## [1171]  0.7444073910 -1.8229420646  0.8719045769 -0.3254967501 -0.3254967501
## [1176] -2.5524390270 -2.5873923623 -2.4263034856 -3.8985619000  0.4095080107
## [1181]  0.4095080107  0.3546933433  1.0841936754 -1.3667007237 -1.1283392301
## [1186] -1.3926637112 -2.0053672700 -1.3926637112 -1.1283392301 -1.3915018576
## [1191]  0.9902707793 -2.5117574729 -0.9039994711 -2.5398612722 -0.8832304488
## [1196] -1.3826877721 -0.0549877257 -0.6799679824  0.2028474917 -0.0549877257
## [1201] -0.6799679824 -0.4825220856 -0.1820473112  1.2404204924 -0.1107334743
## [1206] -0.1107334743 -0.1107334743  1.4603896002 -0.1107334743 -0.8634575564
## [1211] -1.8034550429 -0.9477134204 -1.8034550429  1.3328778439  1.4028652574
## [1216]  0.4104447487  0.0769227568 -0.1034668608  0.2222529396  0.4277499738
## [1221]  1.9718987973  1.9718987973 -0.3368289821  1.3531456794  3.3222142256
## [1226]  1.1491837228 -0.2700639859  0.5899207062 -4.0230494742 -0.2147655604
## [1231] -0.1829115511 -1.6868680167 -0.2147655604  0.9690916671 -3.1798981951
## [1236]  0.2943574083 -0.7816017377 -3.1798981951 -1.1457717714 -2.3752546738
## [1241] -0.7367160859  1.3503361782 -0.0573184075  0.0414066576  0.3946813448
## [1246] -1.1140315717 -1.1381319122 -1.1140315717 -0.8024693463 -1.8665899419
## [1251] -1.8665899419 -0.7593321936 -1.6893591896 -1.5813226087 -1.3597103372
## [1256] -2.9778562236 -0.5994819652 -0.2800348676 -1.8370623408 -1.8370623408
## [1261]  3.8135716975 -3.4918466765  1.2167260124 -1.1906258905 -0.5388651812
## [1266] -1.4563879281 -1.4563879281  1.7808295455 -0.7797767438 -3.5313343973
## [1271] -4.2480288975 -1.7625287765 -2.7907962427 -0.6407439226 -1.0982092152
## [1276] -0.3481681690  0.3197711270 -1.3580298383 -0.3481681690  0.6562404087
## [1281] -1.0022668087 -1.0022668087 -1.3337539817  0.3124952899 -1.3653578902
## [1286]  1.9613537555 -0.7731999967 -2.0020113895  1.0388964136  1.0388964136
## [1291] -1.7498644627 -0.6518071239 -2.7270150849 -1.5021698897 -0.6518071239
## [1296] -1.2850885782 -1.2850885782 -1.8843920755 -3.4463585007 -3.4338022796
## [1301] -3.8666899097 -2.3816811160  0.3590796173 -0.0721092193 -0.6268346437
## [1306] -0.7128922874  0.5788587051 -1.8832054282  0.5788587051 -1.1265872415
## [1311] -0.7128922874 -2.0438281189 -1.8464413894 -0.9565888478 -0.9757068117
## [1316] -0.4402844475 -5.2735227320  1.1925632588 -0.4402844475  4.4979236037
## [1321]  0.8913743409 -5.3859379293  0.1396590314  0.6808666792 -1.3229375613
## [1326] -1.3229375613 -1.3229375613 -1.3229375613 -1.4438833175 -0.5557270531
## [1331] -0.5557270531 -0.4696815623 -0.1434018196  0.1361393634 -1.5716959834
## [1336] -2.2901653658 -2.3407175525 -2.3407175525 -2.3407175525 -1.5102855614
## [1341] -1.5102855614 -1.5102855614 -1.4854102377 -1.5102855614  2.2569020918
## [1346] -0.2338915512 -2.7638842670 -1.7228297880 -1.7228297880 -1.9709342190
## [1351] -0.2422519065 -2.2594679588 -1.3967346976 -1.3967346976 -1.4991551921
## [1356] -1.3112408615 -1.3463186424 -1.3464121555  0.0117604039  1.9942162503
## [1361]  0.4823557454 -0.8807772879  1.9942162503 -0.7322174119 -2.1520702102
## [1366]  0.0562929054 -1.2271472992  0.7055913370 -0.4429682148 -2.4526908959
## [1371]  3.3962277813  1.0348964987  3.3962277813 -0.2716957971 -1.3947087885
## [1376] -0.5943041973 -0.9009568072 -2.5502177648 -0.8246809389 -1.3961813008
## [1381] -1.3961813008 -2.0732483693 -0.6590855259 -0.6590855259 -0.8648612664
## [1386] -0.3945438230 -1.0243362070 -1.0243362070 -0.1337890197 -0.9036883689
## [1391] -3.2493077164 -0.7894492038 -1.4837301863 -0.5610009514 -1.0270427428
## [1396] -0.3630314407 -0.3347959415 -0.6916598187 -1.5399441741 -1.8005059097
## [1401] -0.6474162718 -0.6474162718 -0.1264011949  0.6557880731  0.1707566861
## [1406]  0.0559714824  1.4233000025 -2.1582453922  0.2375777310 -2.1582453922
## [1411] -3.4547585137 -0.9528199722  1.4233000025  1.4580366017  2.5815682244
## [1416] -1.8702910556  2.5815682244 -0.4825113340 -1.0441771765 -0.9109256818
## [1421] -1.0441771765 -0.5688723260 -1.4969738227 -1.2460980581  0.8571556323
## [1426]  0.8571556323 -0.1308745432 -0.3164205011 -1.3217307733  0.4685956599
## [1431] -0.8152133251 -0.2449836197 -2.3231884793 -1.2948001488  4.6892061608
## [1436]  4.6892061608  2.3434472548 -1.8120340184 -2.0224343646 -1.4877941273
## [1441] -0.3571418001 -0.0599608098 -1.2369280491 -2.1534481272 -1.4913359468
## [1446] -0.0635026292 -1.2369280491 -1.3910351408 -1.3227198611 -0.3734247018
## [1451] -0.3571418001  0.8102833202 -2.1085423088 -0.3251825938  2.7308938355
## [1456] -2.9693557806 -2.5892628216 -0.3251825938  0.0098636151 -0.1555385574
## [1461] -1.1960924670 -2.5810432838 -1.7556814658 -1.8467769811 -1.5574628011
## [1466] -1.5574628011 -0.1368112793 -2.5671862185 -0.1368112793 -1.6037199010
## [1471]  0.5797231217 -2.5811277420  0.6147285146 -2.4556203915  4.5594461590
## [1476] -3.0360079427  4.5594461590 -3.0395497622 -1.1545766694  1.3144229861
## [1481] -2.9732528888  1.3144229861  0.2738955204 -0.1859145445 -2.4740905573
## [1486] -1.2880899422 -1.4277231867 -2.2994366213 -3.4877456561 -2.0016517136
## [1491] -0.9671066548 -3.4877456561 -3.2643434005 -0.1850186303 -1.5611512894
## [1496] -1.2422290457 -0.1850186303 -2.3204431296 -2.5959923564 -2.3204431296
## [1501] -1.4976477121 -0.0470169618 -0.8003947022 -1.0670181044  0.2064206766
## [1506] -2.2967191374 -2.2910625930  0.2064206766  0.8244068759 -0.0051054204
## [1511] -0.9553237634 -1.4713075764 -2.4097972658 -1.9227261606 -0.9023094109
## [1516] -0.9040803207 -0.4806482284 -1.5549756753  0.2330035473 -1.5594226597
## [1521] -1.5549756753 -1.1810615183 -0.4806482284 -1.0217676905 -1.1581174192
## [1526] -1.2733634284 -1.1064426087 -1.3206323043  0.8517232192 -1.7641091772
## [1531] -1.7790964684 -2.1578830176 -0.7055733266 -0.0460816996 -2.0419684423
## [1536] -1.1695315847 -2.3071765187 -2.5027326470 -2.4502594340 -0.3554878757
## [1541] -1.8471046339 -0.2133702694 -2.2802935375  1.3232082622  0.7447041003
## [1546] -1.1571560058 -1.5614873752 -3.1885468407  2.2298161376 -0.5004563897
## [1551] -1.4890130632 -1.4745282920 -2.0926431024 -1.3631894565 -2.5542057660
## [1556] -1.5402196223 -2.4275701206 -2.5542057660  1.0292631251 -0.3150794941
## [1561] -0.3150794941 -0.3150794941 -1.3306207562 -1.3306207562 -1.3306207562
## [1566] -1.8974422210  0.2464746288 -1.3306207562 -1.0739319797 -2.4019061267
## [1571]  0.2004534301 -1.7110684769 -0.7865023364 -2.3578747948  1.3793294014
## [1576] -0.5248894680  0.9133955317 -1.9040854922 -1.5199255901 -2.7479381549
## [1581] -0.7819785653 -2.7479381549 -3.2071294065 -0.8296831154 -0.2079615517
## [1586] -0.0399990188 -0.0714585911 -2.5227525478 -0.9721684607 -0.2367277732
## [1591] -1.7259228705 -3.4853588000 -1.4556735759 -1.2352310829 -2.1498275430
## [1596] -2.2138035086 -1.4556735759 -2.2698078356 -0.4268412180
predict(df_pca)[,1]
##    [1] -1.6190233808 -0.7989199991 -0.7482450102  2.3569352844 -1.6190233808
##    [6] -1.5832119779 -1.1011195532 -2.2480043771 -1.0865466057  0.6545847432
##   [11] -1.1248523852  0.6545847432 -3.0259143987  1.5384164486  1.5647785548
##   [16]  1.6207417506  1.1741982777  2.6943618301 -0.7222123697  3.3342696553
##   [21]  0.6234495719 -0.2059201160  0.6961895123  0.0530890262 -0.8782805799
##   [26] -1.1642698338 -0.2393189176  0.6961895123 -1.7346751593 -1.3219581716
##   [31] -1.5592690050 -1.8050008848 -0.0895459518 -0.0867786299 -1.0837568763
##   [36] -0.5614524459 -0.8278540247  0.4339239895 -2.9857396410  0.7641366874
##   [41]  0.7641366874  0.3507712392  1.4009534162  0.3617225771 -2.1413294956
##   [46] -4.2775856693  0.2331430018  1.2327080334 -0.9389723339 -0.6576468843
##   [51]  0.5882230958 -1.5606289219 -1.5208686045  0.8461291444 -0.2549027582
##   [56] -0.7112083086  2.3003794236  0.3128443129 -0.7529628698 -0.5177435570
##   [61]  0.5326550505  0.7033615032 -0.6972955953 -1.5574365312 -1.7058880733
##   [66] -1.7058880733 -1.0600479370 -1.9571393728  1.4023857653 -0.7577244093
##   [71] -0.9999191681 -0.7695600669 -0.8562065492 -0.1462766933  2.0689381719
##   [76]  0.9132489307  0.9132489307 -2.1682947506 -1.6932037651  0.8949146807
##   [81] -1.3094380643  4.2819216263  0.1196024010  2.0986279913 -0.2790824419
##   [86] -1.2983952432  3.3203917603 -0.5115931700  2.5076218099 -1.3568807729
##   [91] -0.1747656004  3.3203917603  3.4094800686 -0.5115931700 -4.6345864975
##   [96] -4.0927389504 -1.8938782706 -0.3217304729 -1.5393328235 -0.2192307179
##  [101] -0.2904842848 -0.4650346765 -0.2192307179 -0.3440831820 -0.7784454102
##  [106] -0.3440831820  4.4437241847 -0.7903975135  1.1210572328  0.7757945360
##  [111]  0.3891875737 -0.0669049221 -0.0201665498  1.6116220721  0.3891875737
##  [116]  1.1698071038 -0.1289330701 -0.8434294325 -0.2852066931 -1.3645292367
##  [121] -1.1256407134 -0.2852066931 -1.5075644741 -1.2698331012 -0.9868665687
##  [126]  0.6533937651 -2.8296888090 -2.8856553229 -0.6487334280 -1.4346891605
##  [131]  0.7289523106 -3.1805724630 -3.1805724630 -1.9396816470 -1.3976085562
##  [136] -0.0815424656 -0.0882906684 -0.3093735873 -0.6507117783 -0.6374338891
##  [141] -0.0815424656 -0.0882906684 -3.8605516273 -1.3641258354 -3.8605516273
##  [146]  0.9475601351 -2.8652698825  1.3496627748 -1.4143329865  0.0462106670
##  [151] -0.0523283441  8.6506175515 -1.5478779955 -1.5478779955  0.2712096264
##  [156]  0.2641282213  0.2712096264  0.2641282213 -1.8498615530 -1.6111528310
##  [161] -1.2859639597 -0.1120192706 -1.0742579809  0.0226183909 -0.0200148627
##  [166]  0.4788210839 -1.5048751507 -1.5753352298 -1.9719192034  2.8717600321
##  [171] -1.7369389890 -0.0779569541 -0.0779569541 -1.7779866591 -0.6624433130
##  [176] -1.0754554515 -0.6624433130 -0.6169172941 -1.9660188094  0.0007361586
##  [181]  0.0007361586  2.6388040315 -1.5905338598 -1.3679174303 -1.3220828649
##  [186]  1.3202913800  0.3512441109 -1.0268162818  0.3302101255  0.2941554682
##  [191]  0.6849249373 -1.1089200492 -0.5337173226 -0.5312619075 -0.5312619075
##  [196] -0.0562276348 -0.8386778425  3.1677209277 -3.6115490683 -3.2161574621
##  [201]  1.4045752635  2.4110640638 -1.0590735011 -0.3823451122 -0.3370745742
##  [206]  3.7214910153  3.7214910153 -0.3599005233  0.4468686366  2.1823798659
##  [211]  0.8345613544 -0.5724415472  2.3488234226 -0.7419871933 -0.3748185502
##  [216]  0.6051692411 -0.0858886685 -0.7007545958 -1.0078732101 -0.0096018066
##  [221]  0.0959528102 -0.0436767558 -1.9279513770  0.1546931895  0.0784825203
##  [226] -0.5985753362  3.8407190827 -0.3415062675 -0.5985753362 -1.1369815155
##  [231] -3.3203963427 -0.9127565249  0.4593750278 -1.1369815155 -1.2030535048
##  [236] -1.2458929692 -1.2458929692 -1.2898703502 -1.2458929692 -1.2030535048
##  [241]  2.7052732283  2.9507230143 -0.4067664560  4.3834559142  4.3834559142
##  [246] -1.1971770943 -1.4173947547 -0.3856903866 -1.2329684667 -1.1971770943
##  [251]  2.0070741656 -1.4713199674  2.2019356945 -0.0855690526 -1.4713199674
##  [256] -0.0533098400  1.3084545104 -1.7824423313  5.1529261306  1.8926316087
##  [261] -0.0308251162 -1.8610808098 -1.1787535779 -0.0206363712  3.1265999169
##  [266]  2.2239393306 -1.0016620752  0.6745583099 -1.1449991099  3.3436547984
##  [271] -0.7246593448  3.3436547984  2.7705825728 -0.2353655344  0.4274125078
##  [276] -0.7246593448 -1.1449991099  3.3436547984  2.0178157279  1.2353152770
##  [281]  2.9573317128  3.4026121669 -0.6281781983  1.2353152770  0.8561730111
##  [286]  0.8561730111  3.0286257824 -0.4958104021  0.0532249793  3.5725192019
##  [291]  0.0532249793  3.1371058691  1.2856424772 -0.5789261714  4.3735065308
##  [296]  2.6545793026  1.0258089683 -1.4935260117 -1.2479747539 -1.6813440640
##  [301] -1.1261189476  1.9380230911 -0.4495046383 -0.8925519301  1.1161123396
##  [306]  2.1596261591 -0.4909436553  2.5740362637  2.6158522254 -0.2271865925
##  [311]  2.1596261591 -0.3754289614  0.7790545576  0.3709803383 -0.3182426983
##  [316] -0.5324568811  0.9857340146  0.0682013843  0.8065195761  0.0682013843
##  [321]  0.8065195761  1.0913378105 -0.5786493035  1.5382273586  2.7692650017
##  [326]  2.7692650017  3.0873061094  2.0063423101  3.8459792045  1.5748601207
##  [331]  2.1147976115  2.1147976115  0.1785995334 -0.3865884068 -1.1525342309
##  [336]  2.6709356731 -0.1732675216  0.1843473050  3.6999638933  4.3587223617
##  [341]  3.8788860031  1.8071734923  1.9883293821  1.9883293821  2.9957675795
##  [346] -1.7610389940 -2.4211980941  4.0617329780  1.6795446529  0.0815424640
##  [351]  1.8206498952  0.0657245690 -0.5213494466  4.3839964082 -1.3511585954
##  [356] -2.7049351652  2.7225920015  2.1054762294  3.6377038912  3.7402299853
##  [361]  0.2954347898  0.8135790155  2.9760271811  3.6706958376  4.3892799173
##  [366]  1.9808037810  4.3892799173  2.5916278305  2.8673289530  1.9119913874
##  [371] -1.8490125711  0.7865851323  1.3362106119  0.3247468020  4.7876029568
##  [376]  3.5932507026  3.0130182802  1.9119913874  3.2331876694  0.6693528537
##  [381]  1.3554499227  4.5920898329  1.3554499227  1.3554499227  0.0047823430
##  [386] -0.7391286994 -0.0154886172 -0.5647850001  0.0275182472  1.4388821018
##  [391] -3.6346031116  4.5920898329  1.5943891646  1.1997505915  3.2669997767
##  [396]  3.1753769295 -0.7935544314  2.3157778903  2.3157778903  0.0193242204
##  [401] -0.7935544314 -0.6203987865  2.9954685936  2.2776909622 -0.6129961912
##  [406]  0.6127886296  1.3366507824  3.1079036467  2.4571333684  2.8640470336
##  [411]  0.6983753098  0.7179048121 -0.6883471565  2.3208606124  0.8290338411
##  [416]  1.9658957174  1.7342678135 -1.7268536455  2.8272604901 -2.2384733786
##  [421]  0.5104560598 -2.9379453288 -1.9078394555  2.3092629911 -1.9078394555
##  [426] -2.9379453288 -2.6698811458  0.2005993874  0.6336576249  2.8248308132
##  [431]  2.3092629911  0.2126650030  2.5647785520  3.2132819200  2.8499349677
##  [436]  3.2132819200 -0.6253324578  2.6750164540  2.8499349677 -0.5519972372
##  [441]  4.4104777611  3.0487796426  5.5353026325  1.0486353799 -3.1366432904
##  [446]  0.1004276569  3.3902207995  0.8056683330  0.1608407480  3.2824688943
##  [451]  3.2824688943  3.9212462064 -1.5119182559  2.5537422970 -0.8503685741
##  [456]  2.3663151025  0.5148554636  0.4877010264  2.5537422970  2.7506550682
##  [461]  0.8213194793  0.2756233733  2.2887459152  1.5422026457  3.3111852800
##  [466]  1.9520019204  1.5025887554 -0.0783413905  3.2260222552 -1.2199010844
##  [471]  3.7806147396  0.9663272335  3.2880736770  1.5885087723  2.4564707668
##  [476]  0.9269953314  1.4100404940  2.4585284773  0.9269953314  0.4882581689
##  [481]  4.4331012560  1.9260510625  3.7219672565  3.7566418720  2.4835011368
##  [486]  0.7730634181  0.7730634181  0.7754386549  2.8427578376  1.1325865363
##  [491]  0.2546396254  0.2742794474  0.3838318675  0.2609030033 -1.0259683220
##  [496]  1.9453179863 -0.1323202712  0.0746504001  1.9453179863  0.2609030033
##  [501] -0.1323202712  3.0740056348  3.0740056348  2.4001570896  2.2312431689
##  [506]  1.8009790711  2.1319952494  2.5085956265  1.3462990796  3.9267610227
##  [511]  3.0233474835  1.3462990796  2.8208511914  2.2003808022  2.2003808022
##  [516]  2.6435464998  2.8782225235  2.6338559267  1.9552765317  0.3565170016
##  [521]  1.7066772449  0.3170780339  1.2406867883  1.3771074539  1.3844493799
##  [526]  1.3410589741  0.3565170016  0.0726602276  1.2351886623  0.9444469397
##  [531]  1.0135709739  2.9374344615  2.9374344615  0.4731931599  1.2182102551
##  [536]  1.0135709739  0.9444469397 -0.5203604485  3.4414459596  3.0257055388
##  [541]  0.8966116493  2.0027718933  0.3167933675  1.8242062565  5.5003604339
##  [546]  1.8234269211 -0.2214901369  2.1861450699  3.0835287410  1.3531187498
##  [551] -1.4168217862  1.1676454978  1.3578562148 -4.0639695509  5.0903446976
##  [556]  5.0903446976  2.7259424294  5.1184484969  2.7259424294  3.0619207947
##  [561]  2.4566123568  1.2598392395  1.7436745235  0.6937115471  3.0619207947
##  [566]  2.4566123568  0.9750974328  0.9750974328  2.3670218236 -1.9079911544
##  [571]  2.6843706293 -1.9079911544  2.0098230436  1.4051419287  2.4094212911
##  [576]  3.0386193461  0.4492157693  1.1698659635  1.1485427391  1.8136205644
##  [581]  2.5053310512  2.5053310512  2.3099668814  2.9384057937  2.6409076451
##  [586] -0.3281823776  3.0698464544 -0.4137554716 -3.5323125244  2.2877256712
##  [591]  1.0588377991 -0.6458707802  1.0588377991  2.2448292655 -0.7072350554
##  [596]  1.6987890950  3.0816260835  2.4441081104 -0.1876797616  3.2686798844
##  [601] -0.7750688861  3.3677954563 -1.1296098743  3.3677954563  0.5167240728
##  [606] -0.0421897513  1.1372793216  0.7136544372  2.1477209667 -1.9138056976
##  [611]  1.1725698019  3.9229649729 -1.2215029021  0.3909134134  2.3414616671
##  [616]  0.7541133639  0.7541133639  3.2315705622  3.0988015816  2.7495032393
##  [621]  0.3238192283  0.2413929414  0.7892964765 -0.2895111666 -0.5074863403
##  [626] -0.5074863403  0.3023997610  0.3023997610  0.4546272277 -0.1502794070
##  [631]  0.4546272277  2.3302690054 -0.5638691680  0.4840736254 -0.1916634547
##  [636] -1.4545428918  0.2829088144  0.1791229257 -0.9912326773  1.9299475446
##  [641]  1.0728456949  0.6986170436  1.0728456949  0.6986170436  1.0728456949
##  [646]  0.0516123430 -0.9522409339 -1.3571472887 -0.0148188811  0.0730832368
##  [651]  2.5930748917  0.5235881412  4.7092275291  1.7120439632  1.2847153310
##  [656]  1.4348163962  2.5930748917  3.0161878260 -0.5469547541 -1.5265409477
##  [661] -0.5469547541  0.2240558964 -0.9086472195  2.1680971829  3.3047694277
##  [666]  0.5128181265  1.4488820420  3.0618655706  0.6594202008  3.0618655706
##  [671] -0.4756540111 -0.3553170343  0.1911368607 -0.3553170343  2.2961796834
##  [676]  1.0806917507  2.2961796834 -0.9156804674 -1.1359334190  1.9501037512
##  [681]  3.5076923844 -0.1468564617  0.2196113221 -0.9502950855  0.1618231077
##  [686] -0.9502950855 -1.1278954647  0.7754448806 -1.7295760640  1.7667765702
##  [691] -2.6796319383 -0.2411098372  4.0863559656  0.7945698336  0.7795840176
##  [696] -4.7570170106 -1.5027212153 -1.5027212153  0.8850818655  2.6020749372
##  [701]  1.2548205104 -1.5027212153 -1.5210472578  0.6280637866 -0.5386257098
##  [706] -0.5060846684 -1.9090352061 -0.8258935560 -1.0439575229  1.4297631105
##  [711]  1.3480066416  0.8701260759 -0.5155006970  0.1142581515  0.3555203142
##  [716] -0.6215288318  0.1142581515 -0.2946467984 -0.4353694587 -1.3497063692
##  [721] -0.4353694587  1.0417457870 -0.2622641931  2.2930946569 -2.3695525657
##  [726] -0.1248637338 -0.5077890181 -1.5866951178 -1.5866951178 -3.2959842750
##  [731]  3.3703914361 -0.6431042654 -1.7307727314 -0.4942352456 -0.4854639045
##  [736] -1.1760580802 -1.1760580802 -0.4484857621  1.1452016678 -0.3011096966
##  [741] -0.6914087775  0.6551926626 -1.6462958348  2.9949658078  2.7799871931
##  [746] -0.8001888147  0.5931393943  0.7604462726 -0.8479286141 -0.8001888147
##  [751] -0.2675412924 -0.2675412924 -0.4823718117 -0.2675412924  3.5828218360
##  [756] -2.5882975604 -3.5691862362 -1.2300729390 -1.2300729390  0.7072286790
##  [761]  0.5070425191  0.1443651950 -0.9823951857  0.1443651950  0.0936464036
##  [766]  0.1080593870  0.4711701416  0.1243047088 -1.7064929338 -1.4126382690
##  [771] -1.7064929338  0.3363144163  0.5643953017  1.0051199931  0.9771608383
##  [776] -2.2290091065 -0.6615625670 -0.5629150936  0.2880646630 -1.3426486215
##  [781] -0.6217883321 -1.4268600629 -0.7527717281 -1.4268600629 -1.6451886176
##  [786]  1.4574000102  1.4574000102  1.0388595499  1.0388595499  0.6379601043
##  [791]  0.4544341965  0.2440909587 -1.3965051923 -1.4997217522  1.0696326891
##  [796]  2.4479889198  1.3981878268  0.6149311533  0.8463407705  0.8463407705
##  [801] -0.7433761582 -0.2952003988 -3.3005506786 -0.1836637810  0.0231833536
##  [806] -0.4695237098 -0.2087256144 -0.4695237098  0.3007698951  0.0764251040
##  [811] -1.1890236274  3.2756178513  1.5053947146 -1.2836164505  2.9763061398
##  [816]  1.5053947146  0.7583820815  0.9937439682 -1.5672663308  0.5372440416
##  [821] -1.4655912406 -4.1758506384 -1.6118208200 -1.6118208200 -0.2592232220
##  [826] -1.1079324675 -0.5875044985 -1.1079324675 -1.9100280725 -2.6245202017
##  [831] -1.5349910966 -2.6245202017  1.6253595491  1.9932304384 -0.3583699613
##  [836] -1.3870102749 -2.1434101500 -2.1434101500  1.1958045738 -1.8895107902
##  [841]  1.7265331598 -1.6786061161  1.5435149849 -0.3123181549  1.4467584987
##  [846] -1.6376925175 -1.6376925175 -1.0578238539 -1.6376925175 -1.6135692582
##  [851]  0.8383283727  0.8383283727  1.3424325811  0.1138528986  0.1138528986
##  [856] -2.0694525691  0.1138528986  0.0781816742  1.9813340287 -1.3404938162
##  [861] -1.4262102968 -2.5204988910 -0.2362628364 -1.4856381662 -1.4262102968
##  [866] -1.4525606224 -1.2267239901 -1.1761199099 -1.3404938162 -1.6876496610
##  [871] -2.4403725399 -2.2862066951 -0.9810409090  0.4863840013  1.6310899129
##  [876]  0.7840480431 -1.7760809302 -2.4403725399  0.2933908880 -1.5251891591
##  [881] -0.0843722099 -2.1788399203  0.8638678490 -1.5251891591  0.2933908880
##  [886] -0.2467583576 -0.2762469851  1.0736712984 -2.1907976053  2.5781750541
##  [891] -0.9635339420 -1.6319396954  0.9900930101 -1.6319396954 -1.5874385541
##  [896] -1.8579646941 -0.0358885314 -1.8579646941 -0.0358885314 -1.5030461838
##  [901] -0.0445460132 -1.4960116480 -1.4960116480 -1.3139119145 -1.3139119145
##  [906]  0.5730783709 -0.5902039533 -2.8613085572 -1.4755169741 -0.9405889574
##  [911]  0.9249772244  2.5187721457  0.6159549852  1.0191453893 -0.9405889574
##  [916]  0.2477249174 -2.6185074429  0.5453972996  0.2524504255 -1.0499103951
##  [921]  1.0335398033  0.2524504255 -1.0499103951  0.5453972996  0.1363671106
##  [926]  0.0653092792  0.7298473824  0.1439260476  0.1363671106  0.1331766935
##  [931] -2.1339230114 -1.3733506754 -0.4469897279 -1.3733506754 -2.1339230114
##  [936] -0.0006385448 -0.0006385448  2.1181114655 -0.8709115498 -2.5480099542
##  [941]  0.5648128008  1.0679246591  1.5899546566  1.2334433723  0.5046874206
##  [946]  1.2571827796  2.0792416335  0.1329178189  0.4530389182  0.4530389182
##  [951]  0.4530389182  0.1329178189  0.0651340999  0.8107129267 -0.7745710086
##  [956]  0.8437243245  0.7114707118  0.8447671694 -1.6683654481 -0.7810361720
##  [961]  0.2169593784 -0.8188084292 -1.1410638547  0.8854650000  0.2169593784
##  [966]  0.3022742374  0.8801810210  0.2374852901  0.1230599105 -1.3964723164
##  [971]  1.5866049448  1.5866049448  1.3684382856 -0.2214779996  0.7830179587
##  [976] -0.6043311386 -0.6043311386  0.7243532532 -0.8696541856  2.0654286326
##  [981]  0.4130091449 -0.0026164093 -1.0392038117  0.4130091449  2.0654286326
##  [986] -1.9649983508  0.4074557373 -0.6759148479 -0.2863638456  0.7950246409
##  [991] -0.2863638456 -0.6889745007 -1.4422301438 -0.6889745007  1.9162762057
##  [996] -1.0788223830 -3.6508563635 -3.6508563635 -0.1852979109 -3.6051215740
## [1001] -0.9397047159  1.0092364511  0.4493997617 -1.6153190699 -0.1567545890
## [1006] -1.6153190699  0.4493997617  0.4612273395  0.7755577952  1.1878309015
## [1011] -0.1064233368  0.5021854794 -1.1993248862 -1.5729317663 -0.7143899278
## [1016]  1.8569440847  0.1662851728 -0.5158032245 -0.5158032245 -1.5305735079
## [1021]  2.0564703173  2.0564703173 -1.4018563833  0.0474004970 -1.3434856892
## [1026] -0.7400140317 -1.1786805220 -3.1673972353 -0.8291878973 -1.3434856892
## [1031] -2.0693199544 -1.6079546499 -0.7452891991 -0.9721179817 -0.1323453435
## [1036]  1.2536645651 -0.5467211896 -1.4741802592  0.7246510092  0.1562830487
## [1041] -2.0820949410 -1.0940532504  0.1562830487  2.0225003397 -1.4851746237
## [1046] -1.9222880010 -1.5942850527 -1.2060379166  0.7409166582  0.7437478254
## [1051] -1.2060379166  4.2162276498 -3.4968403938 -0.2841906742  0.6040498059
## [1056]  0.6040498059  0.8997341230  0.7972954214  1.5575547700  0.8997341230
## [1061]  2.7951299384  0.4593969268  0.1638407106  1.5322471535 -1.6056656004
## [1066] -0.6127640740 -2.0731462052  2.3549073368  2.3549073368 -0.0805716229
## [1071]  0.9652212690  0.6744580243 -0.4945297161 -0.1035886412  0.6744580243
## [1076]  0.6821935466  1.4669131406  1.8161800514  1.8161800514  1.3705473838
## [1081]  0.9483637811  1.3784306740 -0.5130708359  0.3640339410 -0.5130708359
## [1086] -0.9418345631  0.5178170446 -0.1192679699  2.7752052933  2.7752052933
## [1091]  1.5977745444 -0.1350369366 -1.8640150455  0.6250735791 -1.1667348255
## [1096]  1.3833459029 -1.1667348255  0.5048807336  0.9676095272  0.5048807336
## [1101]  0.4238493295 -1.2578790406 -2.3571250047 -1.2578790406 -0.7561956706
## [1106] -2.0606272685 -0.1361446284  0.6526547323 -0.6013034462  2.2705329537
## [1111] -0.8178192052 -2.7170083534 -0.2578831168  1.2823604321 -2.4577856304
## [1116] -1.6558545214 -1.6558545214 -1.6558545214 -2.0180357789 -3.5235965067
## [1121] -0.8207138803 -2.7099348979 -3.2496795281  1.4103971729 -2.4949080705
## [1126]  0.1764756591 -2.4149244741 -2.9672855315  1.4636996652  1.6023043619
## [1131] -0.1752010446 -1.6709102997 -0.9540611058 -0.6145483318  0.0612159246
## [1136] -0.4246519111  1.4508338527  1.4508338527  0.5701224680  0.0274242293
## [1141] -0.3660102601  0.4560924793 -1.6395363665 -0.6665709969 -0.8175597534
## [1146]  0.2696369206  0.1810606054  1.3284913183 -0.3225616374  0.6934025275
## [1151] -0.1997322016 -2.3056415062  0.1859398140  0.6667852317 -2.4208052850
## [1156]  0.1859398140  0.4864959579 -2.6024972836  0.2159213758  1.6583614445
## [1161]  2.0700022370  0.6260656600  0.5049000296 -0.1945416101 -0.1945416101
## [1166]  3.4251623670  2.1034272622  0.1796100458 -0.9331316032 -0.6929864871
## [1171]  0.7444073910 -1.8229420646  0.8719045769 -0.3254967501 -0.3254967501
## [1176] -2.5524390270 -2.5873923623 -2.4263034856 -3.8985619000  0.4095080107
## [1181]  0.4095080107  0.3546933433  1.0841936754 -1.3667007237 -1.1283392301
## [1186] -1.3926637112 -2.0053672700 -1.3926637112 -1.1283392301 -1.3915018576
## [1191]  0.9902707793 -2.5117574729 -0.9039994711 -2.5398612722 -0.8832304488
## [1196] -1.3826877721 -0.0549877257 -0.6799679824  0.2028474917 -0.0549877257
## [1201] -0.6799679824 -0.4825220856 -0.1820473112  1.2404204924 -0.1107334743
## [1206] -0.1107334743 -0.1107334743  1.4603896002 -0.1107334743 -0.8634575564
## [1211] -1.8034550429 -0.9477134204 -1.8034550429  1.3328778439  1.4028652574
## [1216]  0.4104447487  0.0769227568 -0.1034668608  0.2222529396  0.4277499738
## [1221]  1.9718987973  1.9718987973 -0.3368289821  1.3531456794  3.3222142256
## [1226]  1.1491837228 -0.2700639859  0.5899207062 -4.0230494742 -0.2147655604
## [1231] -0.1829115511 -1.6868680167 -0.2147655604  0.9690916671 -3.1798981951
## [1236]  0.2943574083 -0.7816017377 -3.1798981951 -1.1457717714 -2.3752546738
## [1241] -0.7367160859  1.3503361782 -0.0573184075  0.0414066576  0.3946813448
## [1246] -1.1140315717 -1.1381319122 -1.1140315717 -0.8024693463 -1.8665899419
## [1251] -1.8665899419 -0.7593321936 -1.6893591896 -1.5813226087 -1.3597103372
## [1256] -2.9778562236 -0.5994819652 -0.2800348676 -1.8370623408 -1.8370623408
## [1261]  3.8135716975 -3.4918466765  1.2167260124 -1.1906258905 -0.5388651812
## [1266] -1.4563879281 -1.4563879281  1.7808295455 -0.7797767438 -3.5313343973
## [1271] -4.2480288975 -1.7625287765 -2.7907962427 -0.6407439226 -1.0982092152
## [1276] -0.3481681690  0.3197711270 -1.3580298383 -0.3481681690  0.6562404087
## [1281] -1.0022668087 -1.0022668087 -1.3337539817  0.3124952899 -1.3653578902
## [1286]  1.9613537555 -0.7731999967 -2.0020113895  1.0388964136  1.0388964136
## [1291] -1.7498644627 -0.6518071239 -2.7270150849 -1.5021698897 -0.6518071239
## [1296] -1.2850885782 -1.2850885782 -1.8843920755 -3.4463585007 -3.4338022796
## [1301] -3.8666899097 -2.3816811160  0.3590796173 -0.0721092193 -0.6268346437
## [1306] -0.7128922874  0.5788587051 -1.8832054282  0.5788587051 -1.1265872415
## [1311] -0.7128922874 -2.0438281189 -1.8464413894 -0.9565888478 -0.9757068117
## [1316] -0.4402844475 -5.2735227320  1.1925632588 -0.4402844475  4.4979236037
## [1321]  0.8913743409 -5.3859379293  0.1396590314  0.6808666792 -1.3229375613
## [1326] -1.3229375613 -1.3229375613 -1.3229375613 -1.4438833175 -0.5557270531
## [1331] -0.5557270531 -0.4696815623 -0.1434018196  0.1361393634 -1.5716959834
## [1336] -2.2901653658 -2.3407175525 -2.3407175525 -2.3407175525 -1.5102855614
## [1341] -1.5102855614 -1.5102855614 -1.4854102377 -1.5102855614  2.2569020918
## [1346] -0.2338915512 -2.7638842670 -1.7228297880 -1.7228297880 -1.9709342190
## [1351] -0.2422519065 -2.2594679588 -1.3967346976 -1.3967346976 -1.4991551921
## [1356] -1.3112408615 -1.3463186424 -1.3464121555  0.0117604039  1.9942162503
## [1361]  0.4823557454 -0.8807772879  1.9942162503 -0.7322174119 -2.1520702102
## [1366]  0.0562929054 -1.2271472992  0.7055913370 -0.4429682148 -2.4526908959
## [1371]  3.3962277813  1.0348964987  3.3962277813 -0.2716957971 -1.3947087885
## [1376] -0.5943041973 -0.9009568072 -2.5502177648 -0.8246809389 -1.3961813008
## [1381] -1.3961813008 -2.0732483693 -0.6590855259 -0.6590855259 -0.8648612664
## [1386] -0.3945438230 -1.0243362070 -1.0243362070 -0.1337890197 -0.9036883689
## [1391] -3.2493077164 -0.7894492038 -1.4837301863 -0.5610009514 -1.0270427428
## [1396] -0.3630314407 -0.3347959415 -0.6916598187 -1.5399441741 -1.8005059097
## [1401] -0.6474162718 -0.6474162718 -0.1264011949  0.6557880731  0.1707566861
## [1406]  0.0559714824  1.4233000025 -2.1582453922  0.2375777310 -2.1582453922
## [1411] -3.4547585137 -0.9528199722  1.4233000025  1.4580366017  2.5815682244
## [1416] -1.8702910556  2.5815682244 -0.4825113340 -1.0441771765 -0.9109256818
## [1421] -1.0441771765 -0.5688723260 -1.4969738227 -1.2460980581  0.8571556323
## [1426]  0.8571556323 -0.1308745432 -0.3164205011 -1.3217307733  0.4685956599
## [1431] -0.8152133251 -0.2449836197 -2.3231884793 -1.2948001488  4.6892061608
## [1436]  4.6892061608  2.3434472548 -1.8120340184 -2.0224343646 -1.4877941273
## [1441] -0.3571418001 -0.0599608098 -1.2369280491 -2.1534481272 -1.4913359468
## [1446] -0.0635026292 -1.2369280491 -1.3910351408 -1.3227198611 -0.3734247018
## [1451] -0.3571418001  0.8102833202 -2.1085423088 -0.3251825938  2.7308938355
## [1456] -2.9693557806 -2.5892628216 -0.3251825938  0.0098636151 -0.1555385574
## [1461] -1.1960924670 -2.5810432838 -1.7556814658 -1.8467769811 -1.5574628011
## [1466] -1.5574628011 -0.1368112793 -2.5671862185 -0.1368112793 -1.6037199010
## [1471]  0.5797231217 -2.5811277420  0.6147285146 -2.4556203915  4.5594461590
## [1476] -3.0360079427  4.5594461590 -3.0395497622 -1.1545766694  1.3144229861
## [1481] -2.9732528888  1.3144229861  0.2738955204 -0.1859145445 -2.4740905573
## [1486] -1.2880899422 -1.4277231867 -2.2994366213 -3.4877456561 -2.0016517136
## [1491] -0.9671066548 -3.4877456561 -3.2643434005 -0.1850186303 -1.5611512894
## [1496] -1.2422290457 -0.1850186303 -2.3204431296 -2.5959923564 -2.3204431296
## [1501] -1.4976477121 -0.0470169618 -0.8003947022 -1.0670181044  0.2064206766
## [1506] -2.2967191374 -2.2910625930  0.2064206766  0.8244068759 -0.0051054204
## [1511] -0.9553237634 -1.4713075764 -2.4097972658 -1.9227261606 -0.9023094109
## [1516] -0.9040803207 -0.4806482284 -1.5549756753  0.2330035473 -1.5594226597
## [1521] -1.5549756753 -1.1810615183 -0.4806482284 -1.0217676905 -1.1581174192
## [1526] -1.2733634284 -1.1064426087 -1.3206323043  0.8517232192 -1.7641091772
## [1531] -1.7790964684 -2.1578830176 -0.7055733266 -0.0460816996 -2.0419684423
## [1536] -1.1695315847 -2.3071765187 -2.5027326470 -2.4502594340 -0.3554878757
## [1541] -1.8471046339 -0.2133702694 -2.2802935375  1.3232082622  0.7447041003
## [1546] -1.1571560058 -1.5614873752 -3.1885468407  2.2298161376 -0.5004563897
## [1551] -1.4890130632 -1.4745282920 -2.0926431024 -1.3631894565 -2.5542057660
## [1556] -1.5402196223 -2.4275701206 -2.5542057660  1.0292631251 -0.3150794941
## [1561] -0.3150794941 -0.3150794941 -1.3306207562 -1.3306207562 -1.3306207562
## [1566] -1.8974422210  0.2464746288 -1.3306207562 -1.0739319797 -2.4019061267
## [1571]  0.2004534301 -1.7110684769 -0.7865023364 -2.3578747948  1.3793294014
## [1576] -0.5248894680  0.9133955317 -1.9040854922 -1.5199255901 -2.7479381549
## [1581] -0.7819785653 -2.7479381549 -3.2071294065 -0.8296831154 -0.2079615517
## [1586] -0.0399990188 -0.0714585911 -2.5227525478 -0.9721684607 -0.2367277732
## [1591] -1.7259228705 -3.4853588000 -1.4556735759 -1.2352310829 -2.1498275430
## [1596] -2.2138035086 -1.4556735759 -2.2698078356 -0.4268412180

Univariate plot to understand :

[1] Based on barplot PC1 is good indicator for bad quality wine as most of the data points for bad quality wine are above max line as outliers

[2] Based on barplot PC2 is good indicator for good quality wine as most of the data points for good quality wine are below minimum line as outliers

[3] Based on barplot PC3 is good indicator for good quality wine as most of the data points for good quality wine are above max line as outliers

#The aboved two gives us the same thing. predict is a good function to know.
df$quality <- as.factor(df$quality)
out <- sapply(1:5, function(i){plot(df$quality,df_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="quality")})

pairs(df_pca$x[,1:5], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,df$quality)})

****Explain the variate representation each PCs**** Multivariate plot:

This used to see contribution of each variable in PC1 to understand variability in data

PC1: [1] fixed acidity, citric acidity and pH are highest contributors towards PC1

PC2: [2] Free sulfur dioxide and total sulfur dioxide are the biggest contributors.

Hence we can deduce that wine quality is good when PC2 is low which means Free sulfur dioxide content and total sulfur dioxide content also should be low

PC3: [3] Alcohol and volatile acidity are the biggest contributors to PC3

Hence we can deduce that wine quality is good when PC3 is high which means Alcohol content and volatile acid content also should be high

library(ggplot2)

# Extract the loadings from the rotation matrix
loadings <- abs(df_pca$rotation[, 1])  # Assuming you want to visualize the loadings for the first principal component

# Create a data frame for plotting
loadings_df <- data.frame(Attribute = colnames(new_df), Loading = loadings)

# Plot the contributions of each attribute to the first principal component
ggplot(loadings_df, aes(x = Attribute, y = Loading)) +
  geom_bar(stat = "identity") +
  labs(x = "Attribute",
       y = "Loading (Absolute Value)",
       title = "Contribution of Attributes to First Principal Component") +
  theme(axis.text.x = element_text(angle = 45, hjust = 1))  # Rotate x-axis labels for better readability

# Extract the loadings from the rotation matrix for PC2
loadings_pc2 <- abs(df_pca$rotation[, 2])
loadings_df_pc2 <- data.frame(Attribute = colnames(new_df), Loading = loadings_pc2)

# Extract the loadings from the rotation matrix for PC3
loadings_pc3 <- abs(df_pca$rotation[, 3])
loadings_df_pc3 <- data.frame(Attribute = colnames(new_df), Loading = loadings_pc3)

# Plot the contributions of each attribute to PC2
ggplot(loadings_df_pc2, aes(x = Attribute, y = Loading)) +
  geom_bar(stat = "identity") +
  labs(x = "Attribute",
       y = "Loading (Absolute Value)",
       title = "Contribution of Attributes to Second Principal Component") +
  theme(axis.text.x = element_text(angle = 45, hjust = 1))  # Rotate x-axis labels for better readability

# Plot the contributions of each attribute to PC3
ggplot(loadings_df_pc3, aes(x = Attribute, y = Loading)) +
  geom_bar(stat = "identity") +
  labs(x = "Attribute",
       y = "Loading (Absolute Value)",
       title = "Contribution of Attributes to Third Principal Component") +
  theme(axis.text.x = element_text(angle = 45, hjust = 1))  # Rotate x-axis labels for better readability

# Better Ways to Visualize

library(factoextra)
## Warning: package 'factoextra' was built under R version 4.3.2
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
library(ggfortify)
## Warning: package 'ggfortify' was built under R version 4.3.2
library(psych)
## Warning: package 'psych' was built under R version 4.3.3
## 
## Attaching package: 'psych'
## The following object is masked from 'package:car':
## 
##     logit
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
library(corrplot)
## Warning: package 'corrplot' was built under R version 4.3.2
## corrplot 0.92 loaded
library(devtools)
## Warning: package 'devtools' was built under R version 4.3.2
## Loading required package: usethis
## Warning: package 'usethis' was built under R version 4.3.2

Based on correlation plot below we can see that alcohol, citric acid, volatile acid and sulfur dioxide are skewed towards left side which is correlated towards either good or bad value of dependent variable as per extreme skewedness.

# Correlation
pairs.panels(df[,-1],
             gap = 0,
             bg = c("red", "blue")[df$quality],
             pch=21)

PC2, PC3, PC4 and PC5 seem to be highly informative as they are either skewed towards left or right unlike PC1 which uniform and would not help us to predict dependent variable

pairs.panels(df_pca$x,
             gap=0,
             bg = c("red", "blue")[df$quality],
             pch=21)

As per the below plot we can infer that PC1-PC5 is enough for analyzing data as they contain 85% of varainces which can be used for prediction and analysis

fviz_eig(df_pca, addlabels = TRUE)

As we have analyzed that PC2 and PC3 are good indicators of wine quality.

We can observe that alcohol and acid based variables are in positive curve of PC2 and PC3 indicating that good quality wine is majorly dependent on these attributes to be good.

library(factoextra)

# Plot variables' contributions to both PC2 and PC3
plot_pc2_pc3 <- fviz_pca_var(df_pca, axes = c(2, 3), col.var = "cos2",
                              gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
                              repel = TRUE) +
  ggtitle("PC2 and PC3 - Variance Contributions")

# Display the plot
plot_pc2_pc3

repel = TRUE)

# Different PCA Method. 
res.pca <- PCA(df[, 1:11], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 1599 individuals, described by 11 variables
## *The results are available in the following objects:
## 
##    name               description                          
## 1  "$eig"             "eigenvalues"                        
## 2  "$var"             "results for the variables"          
## 3  "$var$coord"       "coord. for the variables"           
## 4  "$var$cor"         "correlations variables - dimensions"
## 5  "$var$cos2"        "cos2 for the variables"             
## 6  "$var$contrib"     "contributions of the variables"     
## 7  "$ind"             "results for the individuals"        
## 8  "$ind$coord"       "coord. for the individuals"         
## 9  "$ind$cos2"        "cos2 for the individuals"           
## 10 "$ind$contrib"     "contributions of the individuals"   
## 11 "$call"            "summary statistics"                 
## 12 "$call$centre"     "mean of the variables"              
## 13 "$call$ecart.type" "standard error of the variables"    
## 14 "$call$row.w"      "weights for the individuals"        
## 15 "$call$col.w"      "weights for the variables"

Dim.1:

Free Sulfur Dioxide (26.375087) Fixed Acidity (23.9428401) Citric Acid (21.4954313) Dim.2:

Residual Sugar (7.402766) Volatile Acidity (7.558677) Free Sulfur Dioxide (1.221086) Dim.3:

Fixed Acidity (1.5203278) Volatile Acidity (20.2466277) Free Sulfur Dioxide (18.3863327) Dim.4:

Chlorides (44.3815454) Residual Sugar (13.8974295) Volatile Acidity (0.6234647) Dim.5:

Residual Sugar (53.6035258) Free Sulfur Dioxide (2.5329353) Volatile Acidity (4.7844791) Top 3 Attributes with Highest Negative Loadings:

Dim.1:

Volatile Acidity (-0.42001233) Chlorides (-0.37364637) Free Sulfur Dioxide (-0.06365298) Dim.2:

Fixed Acidity (-0.1533525) Citric Acid (-0.2106517) Chlorides (-0.2054617) Dim.3:

Volatile Acidity (-0.5602970) Fixed Acidity (-0.1535361) Citric Acid (0.2966672) Dim.4:

Fixed Acidity (-0.25291627) Citric Acid (-0.08747670) Volatile Acidity (0.08697170) Dim.5:

Fixed Acidity (-0.08091468) Citric Acid (-0.05736810) Volatile Acidity (0.21423615)

PC1: has high cosine similarity with fixed acidity, citric acid, density and pH but still it is evenly distributed hence not meaningful

PC2: has high cosine similarity with total and free sulfuric acid but as per previous analysis high PC2 means bad quality wine hence these attributes contribute towards bad quality wine

PC3: has high cosine similarity to alcohol and volatile acidity, this combination is correlated to good quality wine

library(corrplot)

# Compute the cos2 values from the PCA results
cos2_matrix <- res.pca$var$cos2

# Plot the correlation matrix using corrplot
corrplot(cos2_matrix, is.corr = FALSE)

Below plot confirms on our hypothesis that alcohol and sulfur components contribute towards PC3 and PC2

# Total cos2 of variables on Dim.3 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component. 
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs. 
#In this case the variable is close to the center of the circle.

fviz_cos2(res.pca, choice = "var", axes = 2:3)

Below plot also confirms

as alcohol is positive with PC3 but negative with PC2 indicating good quality wine has high alcohol content

fviz_pca_var(res.pca, col.var = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), 
             repel = TRUE,
             axes = c(3, 2) # Specify PC3 and PC4
             )

Hypothesis: High alcohol content, density and volatile acidity are contributors towards good quality wine as per observation as these categories are above mean line

# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 3, top = 10)

As per descriptive analysis I can infer these values

For PC1:

Fixed acidity (correlation: 0.86140602) pH (correlation: -0.77198543) Density (correlation: 0.69599339) For PC2:

Total sulfur dioxide (correlation: 0.79031776) Free sulfur dioxide (correlation: 0.71271338) Volatile acidity (correlation: -0.42001233) For PC3:

Residual sugar (correlation: 0.71708742) Alcohol (correlation: -0.53593092) Chlorides (correlation: 0.37364637)

# Description of PC

res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.05)
# Description of dimension 1
res.desc$Dim.1
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                     correlation
## fixed acidity        0.86140602
## citric acid          0.81619353
## density              0.69599339
## sulphates            0.42764729
## chlorides            0.37364637
## residual sugar       0.25721219
## free sulfur dioxide -0.06365298
## alcohol             -0.19933772
## volatile acidity    -0.42001233
## pH                  -0.77198543
##                                                                                                                                                                                                                                                                                                                                                  p.value
## fixed acidity       0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## citric acid         0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## density             0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005427610470930229363481500648447308776667341589927673339843750000000000000000000000000000000
## sulphates           0.0000000000000000000000000000000000000000000000000000000000000000000000042387543636631847066356670872266931837657466530799865722656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## chlorides           0.0000000000000000000000000000000000000000000000000000037991878355906329460447284906976506135833915323019027709960937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## residual sugar      0.0000000000000000000000001410737216867424874237879617311364199849776923656463623046875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## free sulfur dioxide 0.0108991717187046227577340573589026462286710739135742187500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## alcohol             0.0000000000000008578273092887684008606141716768433980178087949752807617187500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## volatile acidity    0.0000000000000000000000000000000000000000000000000000000000000000000023487249577389349049216793474670339492149651050567626953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## pH                  0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001383551
res.desc$Dim.2
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation
## total sulfur dioxide  0.79031776
## free sulfur dioxide   0.71271338
## volatile acidity      0.38154068
## residual sugar        0.37758520
## density               0.32414940
## chlorides             0.20546173
## sulphates            -0.05211625
## fixed acidity        -0.15335255
## citric acid          -0.21065171
## alcohol              -0.53593092
##                                                                                                                                                                                                                                                                               p.value
## total sulfur dioxide 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## free sulfur dioxide  0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000003229371
## volatile acidity     0.00000000000000000000000000000000000000000000000000000001443574981081195070112613287882652457483345642685890197753906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## residual sugar       0.00000000000000000000000000000000000000000000000000000024015591262574092316917084843908014590851962566375732421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## density              0.00000000000000000000000000000000000000019483273416958411260874184378621976065915077924728393554687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## chlorides            0.00000000000000010573703561019982035676031961735077402408933266997337341308593750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## sulphates            0.03717972766320236377435293206872302107512950897216796875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## fixed acidity        0.00000000070982889369286640479303485129491946281632408499717712402343750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## citric acid          0.00000000000000001701654788304753126342364066836410074756713584065437316894531250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## alcohol              0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001427117326466920995851547782073964754090411588549613952636718750000000000000000000000000000000000000000000000000000000000000000000000000
res.desc$Dim.3
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation
## alcohol               0.58733137
## free sulfur dioxide   0.53393641
## total sulfur dioxide  0.40147319
## sulphates             0.34839201
## citric acid           0.29666720
## residual sugar        0.12611890
## pH                    0.07184521
## chlorides            -0.11532350
## fixed acidity        -0.15353613
## density              -0.42196539
## volatile acidity     -0.56029703
##                                                                                                                                                                            p.value
## alcohol              0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006632283
## free sulfur dioxide  0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000015584789116505351399058487693594088341
## total sulfur dioxide 0.00000000000000000000000000000000000000000000000000000000000000555112673958350554340168692135648598195984959602355957031250000000000000000000000000000000000
## sulphates            0.00000000000000000000000000000000000000000000007630616372127125938799874216300622720154933631420135498046875000000000000000000000000000000000000000000000000
## citric acid          0.00000000000000000000000000000000075285638670497517159312106382884621780249290168285369873046875000000000000000000000000000000000000000000000000000000000000
## residual sugar       0.00000042046909353701888640078565551050360227236524224281311035156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## pH                   0.00404823459784410446399283145524350402411073446273803710937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## chlorides            0.00000377637479046437500498217820776858388853725045919418334960937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## fixed acidity        0.00000000067709585102803639101130828148455975679098628461360931396484375000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## density              0.00000000000000000000000000000000000000000000000000000000000000000000047394567209749809172554535496857397447456605732440948486328125000000000000000000000000
## volatile acidity     0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077625050230366088623024
res.desc$Dim.4
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                  correlation
## chlorides          0.7337924
## sulphates          0.6067685
## volatile acidity   0.0869717
## citric acid       -0.0874767
## alcohol           -0.1345786
## density           -0.1922060
## fixed acidity     -0.2529163
## residual sugar    -0.4106192
##                                                                                                                                                                                                                                                                                                 p.value
## chlorides        0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002051535
## sulphates        0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000019821410449065145551253430689087053906405344605445861816406250000000000000000000000000000000000000000000000000000000
## volatile acidity 0.000498316172625414346986083558022073702886700630187988281250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## citric acid      0.000461860319424522069910871158171516981383319944143295288085937500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## alcohol          0.000000065959427342164387688197568770931411563651636242866516113281250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## density          0.000000000000009030428060202416035151529172253503929823637008666992187500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## fixed acidity    0.000000000000000000000000932139643765448967522441181543513266660738736391067504882812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## residual sugar   0.000000000000000000000000000000000000000000000000000000000000000004470531003062452689474082223597406482440419495105743408203125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
res.desc$Dim.5
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                      correlation
## residual sugar        0.71708742
## alcohol               0.34346950
## pH                    0.26202790
## chlorides             0.24143150
## sulphates             0.22131521
## volatile acidity      0.21423615
## density               0.15384636
## citric acid          -0.05736810
## fixed acidity        -0.08091468
## free sulfur dioxide  -0.15587895
## total sulfur dioxide -0.21788948
##                                                                                                                                                                                                                                                                                   p.value
## residual sugar       0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001176124
## alcohol              0.000000000000000000000000000000000000000000001699318834917645677827849337582222233322681859135627746582031250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## pH                   0.000000000000000000000000016282377638092397594601207222453354006574954837560653686523437500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## chlorides            0.000000000000000000000121988332223686033633277409071737906742782797664403915405273437500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## sulphates            0.000000000000000000342269317522519176235154536591664964362280443310737609863281250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## volatile acidity     0.000000000000000004684064160466513348449885123514491169771645218133926391601562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## density              0.000000000625094441651685903994783988224526183330453932285308837890625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## citric acid          0.021784615656606783062887444657462765462696552276611328125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## fixed acidity        0.001202206317184519252308505521398274140665307641029357910156250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## free sulfur dioxide  0.000000000368833135850950954125193614885347415111027657985687255859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
## total sulfur dioxide 0.000000000000000001227967200531068367279352582244200675631873309612274169921875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:

# Coordinates of individuals
head(ind$coord)
##        Dim.1      Dim.2      Dim.3       Dim.4       Dim.5
## 1 -1.6195299  0.4509501 -1.7744541  0.04374031  0.06701448
## 2 -0.7991699  1.8565531 -0.9116902  0.54806597 -0.01839156
## 3 -0.7484791  0.8820389 -1.1713942  0.41102067 -0.04353101
## 4  2.3576726 -0.2699760  0.2434887 -0.92844998 -1.49914907
## 5 -1.6195299  0.4509501 -1.7744541  0.04374031  0.06701448
## 6 -1.5837073  0.5691949 -1.5382861  0.02374989 -0.11007597
  1. Model Insights (10 points): PCA

As per below plot (area curve)

High value of of PC3 indicates good score of wine and drops quickly below elbow point at 0.25

fviz_cos2(res.pca, choice = "ind", axes = 3)

  1. Model Insights (10 points): PCA

Finally we can confirm on our thesis that PC3 is strong indicator of good quality wine as the circle highlighting good quality wine is more towards positive of PC3

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (not "text")
             col.ind = df$quality, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             axes = c(2, 3), # PC2 and PC3
             legend.title = "Groups"
             )

In the below plot we can infer that bad quality wine is towrds negative coordinates of PC2 w.r.t to PC1 showing negative correlation with quality of wines

fviz_pca_ind(res.pca, geom.ind = "point", col.ind = df$quality, 
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, ellipse.type = "confidence",
             legend.title = "Groups"
             )

PC4 and PC5 are not good indicators of quality of wine as the data points are evenly distribute towards center and also has random outliers.

fviz_pca_ind(res.pca,
             label = "none", # hide individual labels
             habillage = df$quality, # color by groups
             addEllipses = TRUE, # Concentration ellipses
             axes = c(4, 5), # PC4 and PC5
             palette = "jco"
             )

  1. Model Insights (10 points): PCA

Alcohol is shows contribution towards good quality wine, along with citric acid which shows little contribution.

Hence we can say that these 2 parameters indicate good rating for wine

Whereas density and volatile acidity show negative correlation and indicate bad quality wine

fviz_pca_biplot(res.pca, 
                # Individuals
                geom.ind = "point",
                fill.ind = df$quality, col.ind = "black",
                pointshape = 21, pointsize = 2,
                palette = "jco",
                addEllipses = TRUE,
                # Variables
                alpha.var = "contrib", col.var = "contrib",
                gradient.cols = "RdYlBu",
                axes = c(2, 3),  # PC2 and PC3
                legend.title = list(fill = "Quality", color = "Contrib")
                )

# Load required libraries
library(cluster)     # For cluster analysis
## Warning: package 'cluster' was built under R version 4.3.3
library(readr)       # For reading data files
library(factoextra)  # For visualizing multivariate analysis results
library(magrittr)    # For using the pipe operator %>%
## 
## Attaching package: 'magrittr'
## The following object is masked from 'package:purrr':
## 
##     set_names
## The following object is masked from 'package:tidyr':
## 
##     extract
library(NbClust)     # For determining the optimal number of clusters
#for loading csv data
library(readr)

# Read the CSV file
df <- read_csv("C:/Rutgers/Subjects/Spring Sem/Multivariate Analysis/Data/wine_new.csv")
## Rows: 1143 Columns: 12
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): quality
## dbl (11): fixed acidity, volatile acidity, citric acid, residual sugar, chlo...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
#dataframe
df
## # A tibble: 1,143 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             6.7               0.58          0.08              1.8     0.097
## # ℹ 1,133 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>

selected these columns because of positive and negative correlation, other columns were not beneficial for analysis

# Assuming df is your dataframe
attach(df)
## The following objects are masked from df (pos = 14):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 17):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
#selected these columns because of positive and negative correlation, other columns were not beneficial for analysis
selected_cols <- df[, c("volatile acidity", "citric acid", "chlorides", "sulphates", "alcohol","quality")]

selected_cols
## # A tibble: 1,143 × 6
##    `volatile acidity` `citric acid` chlorides sulphates alcohol quality  
##                 <dbl>         <dbl>     <dbl>     <dbl>   <dbl> <chr>    
##  1               0.7           0        0.076      0.56     9.4 Average  
##  2               0.88          0        0.098      0.68     9.8 Average  
##  3               0.76          0.04     0.092      0.65     9.8 Average  
##  4               0.28          0.56     0.075      0.58     9.8 Good     
##  5               0.7           0        0.076      0.56     9.4 Average  
##  6               0.66          0        0.075      0.56     9.4 Average  
##  7               0.6           0.06     0.069      0.46     9.4 Average  
##  8               0.65          0        0.065      0.47    10   Very Good
##  9               0.58          0.02     0.073      0.57     9.5 Very Good
## 10               0.58          0.08     0.097      0.54     9.2 Average  
## # ℹ 1,133 more rows

column 6 which is quality (Categorical: Target variable) Range parameters: Bad, Poor, Average, Good, Very Good, Excellent

Why I chose these attributes for cluster?

Answer:

volatile acidity: neagtively correlated to target variable

Citric acid: Positively correlated

similar correlation for columns selected showing no randomness

Group by quality and calculate the average of all other attributes within each group

Also assigning groups(random) Assigning groups to target variable:

Ideal range of quality is mention below (ascending)

group number is random

Bad: 2 Poor: 5 Average: 1 Good: 4 Very Good: 6 Excellent: 3

selected_cols$quality <- factor(selected_cols$quality)
str(quality)
##  chr [1:1143] "Average" "Average" "Average" "Good" "Average" "Average" ...
names(selected_cols)
## [1] "volatile acidity" "citric acid"      "chlorides"        "sulphates"       
## [5] "alcohol"          "quality"
# Convert 'quality' to factor if it's not already
selected_cols$quality <- as.factor(selected_cols$quality)

# Perform aggregation
grouped_avg <- aggregate(. ~ quality, data = selected_cols[, -2], FUN = mean)

# Print the grouped averages
print(grouped_avg)
##     quality volatile acidity  chlorides sulphates   alcohol
## 1   Average        0.5852795 0.09177019 0.6133747  9.902277
## 2       Bad        0.8975000 0.10533333 0.5500000  9.691667
## 3 Excellent        0.4100000 0.07018750 0.7662500 11.937500
## 4      Good        0.5049567 0.08528139 0.6765368 10.655339
## 5      Poor        0.7000000 0.09478788 0.6378788 10.260606
## 6 Very Good        0.3936713 0.07521678 0.7435664 11.482634

setting target variable as row name by removing it first

grouping values based on alcohol and assigning a value to target variable based on that

Observation:

as alcohol content increase quality of alcohol also improves as highest scores are assigned to excellent quality of wine based on group number

Lowest values of alcohol are assigned to bad quality wine

values of alcohol content is increasing with range bad to excellent

# Set the first column as row names
row.names(grouped_avg) <- grouped_avg[, 1]  # Assuming the first column contains row names

# Remove the first column from the dataframe
grouped_avg <- grouped_avg[, -1]

# View the dataframe
grouped_avg
##           volatile acidity  chlorides sulphates   alcohol
## Average          0.5852795 0.09177019 0.6133747  9.902277
## Bad              0.8975000 0.10533333 0.5500000  9.691667
## Excellent        0.4100000 0.07018750 0.7662500 11.937500
## Good             0.5049567 0.08528139 0.6765368 10.655339
## Poor             0.7000000 0.09478788 0.6378788 10.260606
## Very Good        0.3936713 0.07521678 0.7435664 11.482634

Observation:

as alcohol content increase quality of alcohol also improves as highest scores are assigned to excellent quality of wine based on group number

Lowest values of alcohol are assigned to bad quality wine

values of alcohol content is increasing with range bad to excellent

based on this we can observe correlation of attribute with respect to target variable as i mentioned above

Scaled values give a picture of positive and negative correlation in range 1 to -1

positive value of attributes means correlated

Negative value of attributes means negatively correlated

matstd.can <- scale(grouped_avg)
matstd.can
##           volatile acidity  chlorides  sulphates       alcohol
## Average         0.01758824  0.3597692 -0.6288205 -0.8436926707
## Bad             1.64310930  1.4037560 -1.4067659 -1.0797555321
## Excellent      -0.89497363 -1.3015000  1.2477728  1.4374844590
## Good           -0.40059824 -0.1396888  0.1465142  0.0003757336
## Poor            0.61486032  0.5920480 -0.3280254 -0.4420603952
## Very Good      -0.97998599 -0.9143845  0.9693247  0.9276484054
## attr(,"scaled:center")
## volatile acidity        chlorides        sulphates          alcohol 
##       0.58190126       0.08709618       0.66460113      10.65500388 
## attr(,"scaled:scale")
## volatile acidity        chlorides        sulphates          alcohol 
##       0.19207410       0.01299168       0.08146425       0.89218086

Calculating Euclidean distance of target variable values:

Excellent has highest distance to Bad which is worst quality of wine

The distance is less for similar quality example:

[1] Excellent and very good

[2] Poor and Bad

# Creating a (Euclidean) distance matrix of the standardized data 
dist.wine <- dist(matstd.can, method="euclidean")
dist.wine
##             Average       Bad Excellent      Good      Poor
## Bad       2.0959847                                        
## Excellent 3.5096946 5.2099279                              
## Good      1.3183071 3.1840737 2.2073206                    
## Poor      0.8139248 1.8128713 3.4468756 1.4097987          
## Very Good 2.8827659 4.6829351 0.7032437 1.5724806 2.8934569

Invoking Hierarchial cluster with method single

# Invoking hclust command (cluster analysis by single linkage method)      
cluswine.nn <- hclust(dist.wine, method = "single") 
  1. Model Insights (10 points): Cluster Analysis

Observation: Excellent and very good quality of wine have a single parent

Poor and Good are in same branch. (Average quality wine is also in same branch)

Bad quality wine which has score extremely low is standalone branch in heirarchial cluster

Number of Hierarchies: 3

we can form 2 groups:

[1] Excellent and very good quality

[2] Bad, Average, Poor and Good

# Plotting vertical dendrogram      
# create extra margin room in the dendrogram, on the bottom (Canine species' labels)
#par(mar=c(6, 4, 4, 2) + 0.1)
plot(as.dendrogram(cluswine.nn),ylab="Distance between wine quality",ylim=c(0,2.5),main="Dendrogram of 12 qualities of wine")

  1. Model Insights (10 points): Cluster Analysis

Applying scaling again for new operation

Volatile Acidity: The “Bad” quality category tends to have significantly higher volatile acidity compared to other categories, while “Very Good” and “Excellent” categories have lower than average volatile acidity.

Citric Acid: The “Bad” and “Poor” quality categories exhibit lower citric acid levels compared to the other categories, with “Excellent” having the highest average citric acid content.

Chlorides: The “Bad” quality category shows the highest chloride content, followed by “Average” and “Very Good” categories. “Excellent” quality wines tend to have the lowest chloride content.

Sulphates: “Excellent” quality wines tend to have the highest sulphate content, while “Poor” quality wines have the lowest.

Alcohol: “Excellent” quality wines have the highest alcohol content, while “Bad” quality wines have the lowest.

Overall, these observations suggest that certain chemical properties like volatile acidity, citric acid, chlorides, sulphates, and alcohol content vary significantly across different quality categories of wines.

matstd.can
##           volatile acidity  chlorides  sulphates       alcohol
## Average         0.01758824  0.3597692 -0.6288205 -0.8436926707
## Bad             1.64310930  1.4037560 -1.4067659 -1.0797555321
## Excellent      -0.89497363 -1.3015000  1.2477728  1.4374844590
## Good           -0.40059824 -0.1396888  0.1465142  0.0003757336
## Poor            0.61486032  0.5920480 -0.3280254 -0.4420603952
## Very Good      -0.97998599 -0.9143845  0.9693247  0.9276484054
## attr(,"scaled:center")
## volatile acidity        chlorides        sulphates          alcohol 
##       0.58190126       0.08709618       0.66460113      10.65500388 
## attr(,"scaled:scale")
## volatile acidity        chlorides        sulphates          alcohol 
##       0.19207410       0.01299168       0.08146425       0.89218086
matstd.wine_new <- scale(matstd.can[,1:4])
matstd.wine_new
##           volatile acidity  chlorides  sulphates       alcohol
## Average         0.01758824  0.3597692 -0.6288205 -0.8436926707
## Bad             1.64310930  1.4037560 -1.4067659 -1.0797555321
## Excellent      -0.89497363 -1.3015000  1.2477728  1.4374844590
## Good           -0.40059824 -0.1396888  0.1465142  0.0003757336
## Poor            0.61486032  0.5920480 -0.3280254 -0.4420603952
## Very Good      -0.97998599 -0.9143845  0.9693247  0.9276484054
## attr(,"scaled:center")
##           volatile acidity                  chlorides 
## -0.00000000000000007979728  0.00000000000000018503717 
##                  sulphates                    alcohol 
##  0.00000000000000071239311 -0.00000000000000100483857 
## attr(,"scaled:scale")
## volatile acidity        chlorides        sulphates          alcohol 
##                1                1                1                1

Observation: Excellent and very good quality of wine have a single parent

Poor and Good are in same branch. (Average quality wine is also in same branch)

Bad quality wine which has score extremely low is standalone branch in heirarchial cluster

Number of Hierarchies: 3

we can form 2 groups:

[1] Excellent and very good quality

[2] Bad, Average, Poor and Good

# Creating a (Euclidean) distance matrix of the standardized data
dist.employ <- dist(matstd.wine_new, method="euclidean")
# Invoking hclust command (cluster analysis by single linkage method)
clusemploy.nn <- hclust(dist.employ, method = "single")

plot(as.dendrogram(clusemploy.nn),ylab="Distance between Quality wine",ylim=c(0,6),
     main="Dendrogram. Quality of wine and hierarchy")

plot(as.dendrogram(clusemploy.nn), xlab= "Distance between quality wine", xlim=c(6,0),
     horiz = TRUE,main="Dendrogram. Quality of wine and hierarchy vertical")

# We will use agnes function as it allows us to select option for data standardization, the distance measure and clustering algorithm in one single function

agn.employ <- agnes(matstd.can, metric="euclidean", stand=TRUE, method = "single")

Merging operation and making 2 clusters:

The agn.employ$merge output appears to show the sequence of cluster merging in an agglomerative hierarchical clustering process. Each row represents a step in the merging process. The two numbers in each row indicate the indices of the clusters that were merged at that step.

For example, the first row 1 2 suggests that clusters 1 and 2 were merged initially. The second row 3 5 suggests that clusters 3 and 5 were merged next, and so on.

This information is crucial for understanding the hierarchical structure of the clustering process and can be used to determine the hierarchy of clusters and the relationships between them.

#  Description of cluster merging
agn.employ$merge
##      [,1] [,2]
## [1,]   -3   -6
## [2,]   -1   -5
## [3,]    2   -4
## [4,]    3    1
## [5,]    4   -2

Agglomerative clustering is more accurate with producing hierarchy

It mapped the wine quality more accurately:

instead of pairing good and poor quality wine, it is pairing poor and average quality wine

Also it is assigning different branch to good, which is more accurate.

Rest of the observations are same

#Dendogram
plot(as.dendrogram(agn.employ), xlab= "Distance between Wine",xlim=c(8,0),
     horiz = TRUE,main="Dendrogram \n Wine Quality hierarchy")

The agglomerative coefficient here tells us that the data tends to form clusters to some extent. With a coefficient of 0.4, it means that there’s a moderate tendency for the data points to group together. This suggests that there might be some identifiable patterns or similarities among the data points, but these clusters might not be as clear-cut or distinct as they would be if the coefficient were closer to 1.

#Interactive Plots
#plot(agn.employ,ask=TRUE)
plot(agn.employ, which.plots=1)

plot(agn.employ, which.plots=2)

plot(agn.employ, which.plots=3)

Looking at the standardized data, it seems we’re dealing with various attributes related to wine quality. Each row represents a different category or quality level, and the columns represent different features like volatile acidity, citric acid, chlorides, sulphates, and alcohol content.

By standardizing the data, we’ve made it easier to compare across different features. Now, when we apply K-means clustering, we’re essentially trying to find natural groupings within the data based on these standardized features. We’re exploring how wines might naturally cluster together based on their characteristics.

We’re trying different values of k, which determine the number of clusters we’re looking for. Each cluster represents a group of wines that share similar characteristics according to the features we’ve selected.

However, without seeing the actual results of the clustering or knowing the specific goals of the analysis, it’s hard to make definitive conclusions. The interpretation of the clusters would depend on the context of the data and what we’re ultimately trying to achieve with this analysis.

# K-Means Clustering

matstd.wine_new <- scale(matstd.can[,1:4])
# K-means, k=2, 3, 4, 5, 6
# Centers (k's) are numbers thus, 10 random sets are chosen

matstd.wine_new
##           volatile acidity  chlorides  sulphates       alcohol
## Average         0.01758824  0.3597692 -0.6288205 -0.8436926707
## Bad             1.64310930  1.4037560 -1.4067659 -1.0797555321
## Excellent      -0.89497363 -1.3015000  1.2477728  1.4374844590
## Good           -0.40059824 -0.1396888  0.1465142  0.0003757336
## Poor            0.61486032  0.5920480 -0.3280254 -0.4420603952
## Very Good      -0.97998599 -0.9143845  0.9693247  0.9276484054
## attr(,"scaled:center")
##           volatile acidity                  chlorides 
## -0.00000000000000007979728  0.00000000000000018503717 
##                  sulphates                    alcohol 
##  0.00000000000000071239311 -0.00000000000000100483857 
## attr(,"scaled:scale")
## volatile acidity        chlorides        sulphates          alcohol 
##                1                1                1                1

we’ve divided the wines into two clusters. Cluster 1, which contains “Excellent” and “Very Good” quality wines, exhibits higher levels of volatile acidity, citric acid, chlorides, sulphates, and alcohol compared to Cluster 2, where wines like “Average”, “Bad”, “Good”, and “Poor” are found.

The within-cluster sum of squares indicates how tightly packed the wines are within each group, and it seems like Cluster 2 is more tightly clustered.

The percentage of variation accounted for by the two clusters is around 74.4%, suggesting that our clustering method has effectively captured a significant portion of the variability in the data.

In summary, our K-means clustering has successfully separated wines into two distinct groups based on their standardized attributes, with one group showing higher overall levels across the features.

(kmeans2.employ <- kmeans(matstd.wine_new,2,nstart = 10))
## K-means clustering with 2 clusters of sizes 3, 3
## 
## Cluster means:
##   volatile acidity  chlorides  sulphates    alcohol
## 1       -0.7585193 -0.7851911  0.7878706  0.7885029
## 2        0.7585193  0.7851911 -0.7878706 -0.7885029
## 
## Clustering vector:
##   Average       Bad Excellent      Good      Poor Very Good 
##         2         2         1         1         2         1 
## 
## Within cluster sum of squares by cluster:
## [1] 2.613170 2.780709
##  (between_SS / total_SS =  73.0 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
# Computing the percentage of variation accounted for. Two clusters
perc.var.2 <- round(100*(1 - kmeans2.employ$betweenss/kmeans2.employ$totss),1)
names(perc.var.2) <- "Perc. 2 clus"
perc.var.2
## Perc. 2 clus 
##           27

partitioned the wines into three clusters. Cluster 1, with “Excellent” and “Very Good” wines, still displays higher levels of volatile acidity, citric acid, chlorides, sulphates, and alcohol compared to Cluster 3, which contains “Average”, “Good”, and “Poor” wines. Cluster 2, represented by the “Bad” quality wine, stands out with its distinct attributes.

The within-cluster sum of squares suggests that the wines in Cluster 2 are perfectly grouped, while the other clusters have some variability within them.

The percentage of variation accounted for by the three clusters is approximately 90.8%, indicating that our clustering method has effectively captured a substantial portion of the data’s variability.

In summary, our K-means clustering has effectively segmented the wines into three distinct groups based on their standardized attributes, with each cluster exhibiting different characteristics in terms of quality and chemical composition.

# Computing the percentage of variation accounted for. Three clusters
(kmeans3.employ <- kmeans(matstd.wine_new,3,nstart = 10))
## K-means clustering with 3 clusters of sizes 3, 1, 2
## 
## Cluster means:
##   volatile acidity  chlorides  sulphates    alcohol
## 1       0.07728344  0.2707095 -0.2701105 -0.4284591
## 2       1.64310930  1.4037560 -1.4067659 -1.0797555
## 3      -0.93747981 -1.1079423  1.1085488  1.1825664
## 
## Clustering vector:
##   Average       Bad Excellent      Good      Poor Very Good 
##         1         2         3         1         1         3 
## 
## Within cluster sum of squares by cluster:
## [1] 1.4626465 0.0000000 0.2472759
##  (between_SS / total_SS =  91.5 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
perc.var.3 <- round(100*(1 - kmeans3.employ$betweenss/kmeans3.employ$totss),1)
names(perc.var.3) <- "Perc. 3 clus"
perc.var.3
## Perc. 3 clus 
##          8.5

Observation:

Cluster 1 has moderate volatile acidity, low citric acid, relatively high chlorides, low sulphates, and low alcohol content.

Cluster 2 is characterized by high volatile acidity, low citric acid, high chlorides, low sulphates, and low alcohol content.

Cluster 3 exhibits relatively low volatile acidity, low citric acid, low chlorides, moderate sulphates, and moderate alcohol content.

Cluster 4 shows low volatile acidity, high citric acid, low chlorides, high sulphates, and high alcohol content.

best % score indicating 4 clusters is good

# Computing the percentage of variation accounted for. Four clusters
(kmeans4.employ <- kmeans(matstd.wine_new,4,nstart = 10))
## K-means clustering with 4 clusters of sizes 2, 1, 1, 2
## 
## Cluster means:
##   volatile acidity  chlorides  sulphates       alcohol
## 1       -0.9374798 -1.1079423  1.1085488  1.1825664322
## 2       -0.4005982 -0.1396888  0.1465142  0.0003757336
## 3        1.6431093  1.4037560 -1.4067659 -1.0797555321
## 4        0.3162243  0.4759086 -0.4784229 -0.6428765330
## 
## Clustering vector:
##   Average       Bad Excellent      Good      Poor Very Good 
##         4         3         1         2         4         1 
## 
## Within cluster sum of squares by cluster:
## [1] 0.2472759 0.0000000 0.0000000 0.3312368
##  (between_SS / total_SS =  97.1 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
perc.var.4 <- round(100*(1 - kmeans4.employ$betweenss/kmeans4.employ$totss),1)
names(perc.var.4) <- "Perc. 4 clus"
perc.var.4
## Perc. 4 clus 
##          2.9
# Computing the percentage of variation accounted for. Five clusters
(kmeans5.employ <- kmeans(matstd.wine_new,5,nstart = 10))
## K-means clustering with 5 clusters of sizes 2, 1, 1, 1, 1
## 
## Cluster means:
##   volatile acidity  chlorides  sulphates       alcohol
## 1      -0.93747981 -1.1079423  1.1085488  1.1825664322
## 2      -0.40059824 -0.1396888  0.1465142  0.0003757336
## 3       0.61486032  0.5920480 -0.3280254 -0.4420603952
## 4       0.01758824  0.3597692 -0.6288205 -0.8436926707
## 5       1.64310930  1.4037560 -1.4067659 -1.0797555321
## 
## Clustering vector:
##   Average       Bad Excellent      Good      Poor Very Good 
##         4         5         1         2         3         1 
## 
## Within cluster sum of squares by cluster:
## [1] 0.2472759 0.0000000 0.0000000 0.0000000 0.0000000
##  (between_SS / total_SS =  98.8 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
perc.var.5 <- round(100*(1 - kmeans5.employ$betweenss/kmeans5.employ$totss),1)
names(perc.var.5) <- "Perc. 5 clus"
perc.var.5
## Perc. 5 clus 
##          1.2
(kmeans6.employ <- kmeans(matstd.wine_new,3,nstart = 10))
## K-means clustering with 3 clusters of sizes 3, 1, 2
## 
## Cluster means:
##   volatile acidity  chlorides  sulphates    alcohol
## 1       0.07728344  0.2707095 -0.2701105 -0.4284591
## 2       1.64310930  1.4037560 -1.4067659 -1.0797555
## 3      -0.93747981 -1.1079423  1.1085488  1.1825664
## 
## Clustering vector:
##   Average       Bad Excellent      Good      Poor Very Good 
##         1         2         3         1         1         3 
## 
## Within cluster sum of squares by cluster:
## [1] 1.4626465 0.0000000 0.2472759
##  (between_SS / total_SS =  91.5 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"

the K-means clustering with six clusters may not provide a meaningful segmentation of the data, as it explains only a small percentage of the overall variability. Adjusting the number of clusters or exploring alternative clustering algorithms may be necessary to obtain more interpretable and useful results.

# Computing the percentage of variation accounted for. Six clusters
perc.var.6 <- round(100*(1 - kmeans6.employ$betweenss/kmeans6.employ$totss),1)
names(perc.var.6) <- "Perc. 6 clus"
perc.var.6
## Perc. 6 clus 
##          8.5

Inference:

The clustering solution with 2 clusters explains the highest percentage of variation among the options provided, indicating that it provides a relatively better representation of the underlying structure in the data compared to solutions with more clusters.

With only two clusters, the solution is simpler and easier to interpret compared to solutions with more clusters, making it potentially more useful for practical applications.

The cluster means and within-cluster sum of squares for the two clusters can provide valuable insights into the characteristics and differences between the clusters, helping to understand the underlying patterns in the data more effectively.

While the solution with 2 clusters may provide a good starting point for analysis, it’s essential to consider the specific context and goals of the analysis when determining the most appropriate number of clusters. In some cases, a more nuanced understanding of the data may require exploring solutions with a higher number of cluster

attributes(perc.var.6)
## $names
## [1] "Perc. 6 clus"
Variance_List <- c(perc.var.2,perc.var.3,perc.var.4,perc.var.5,perc.var.6)

Variance_List
## Perc. 2 clus Perc. 3 clus Perc. 4 clus Perc. 5 clus Perc. 6 clus 
##         27.0          8.5          2.9          1.2          8.5
plot(Variance_List)

Cluster 1: This cluster includes wines categorized as “Average” and “Poor”.

Cluster 2: Wines labeled as “Bad” belong to this cluster.

Cluster 3: This cluster consists of wines categorized as “Good”.

Cluster 4: Wines labeled as “Excellent” and “Very Good” are grouped into this cluster.

#
# Saving four k-means clusters in a list
clus1 <- matrix(names(kmeans4.employ$cluster[kmeans4.employ$cluster == 1]), 
                ncol=1, nrow=length(kmeans4.employ$cluster[kmeans4.employ$cluster == 1]))
colnames(clus1) <- "Cluster 1"
clus2 <- matrix(names(kmeans4.employ$cluster[kmeans4.employ$cluster == 2]), 
                ncol=1, nrow=length(kmeans4.employ$cluster[kmeans4.employ$cluster == 2]))
colnames(clus2) <- "Cluster 2"
clus3 <- matrix(names(kmeans4.employ$cluster[kmeans4.employ$cluster == 3]), 
                ncol=1, nrow=length(kmeans4.employ$cluster[kmeans4.employ$cluster == 3]))
colnames(clus3) <- "Cluster 3"
clus4 <- matrix(names(kmeans4.employ$cluster[kmeans4.employ$cluster == 4]), 
                ncol=1, nrow=length(kmeans4.employ$cluster[kmeans4.employ$cluster == 4]))
colnames(clus4) <- "Cluster 4"
list(clus1,clus2,clus3,clus4)
## [[1]]
##      Cluster 1  
## [1,] "Excellent"
## [2,] "Very Good"
## 
## [[2]]
##      Cluster 2
## [1,] "Good"   
## 
## [[3]]
##      Cluster 3
## [1,] "Bad"    
## 
## [[4]]
##      Cluster 4
## [1,] "Average"
## [2,] "Poor"

Based on heatmap: Data matrix we can observe that Excellent and very good are strongly correlated and colored as blue

Bad, Poor, Average, Good have a similar behaviour based on clusters formed

# Assuming matstd.can is your data matrix

# Calculate the distance matrix
dist_matrix <- dist(matstd.can)

# Visualize the distance matrix
fviz_dist(dist_matrix, gradient = list(low = "#00AFBB", mid = "white", high = "#FC4E07"))

  1. Model Insights (10 points): Cluster Analysis

Observation:

Performing clustering using 2 clusters:

Very good and Excellent quality wine are in the same cluster

Bad, Poor, Average and good are in same cluster but highly seperated,

Bad seems to lie seperately

Poor and Average are very close

Good is also little close to Poor and Average

# Load required libraries
library(factoextra)

# Visualize the optimal number of clusters using the gap statistic
fviz_nbclust(matstd.can, kmeans, method = "gap_stat", k.max = 2)

set.seed(123)
km.res <- kmeans(matstd.can, 2, nstart = 25)
# Visualize
fviz_cluster(km.res, data = matstd.can,
             ellipse.type = "convex",
             palette = "jco",
             ggtheme = theme_minimal())

No. of cluster=3

This clustering provides more accurate clusters:

Cluster 1: Excellent and Very good

Cluster 2: Poor, Average and Good

Cluster 3: Bad quality wine is seperated

# If your data has outliears , use PAM method
pam.res <- pam(matstd.can, 3)
# Visualize
fviz_cluster(pam.res)

# Hierarchial Clusiering
res.hc <- matstd.can %>% scale() %>% dist(method = "euclidean") %>%
  hclust(method = "ward.D2")

This is perfect example of grouping based on hierarchial clusters:

Cluster group 1: Excellent and Very good share the same branch

Cluster 2: Poor, Average share the same branch

Cluster 3: Good quality wine is also seperated

Cluster 4: Bad quality wine is seperated

fviz_dend(res.hc, k = 4, # Cut in four groups
          cex = 0.5, # label size
          k_colors = c("#2E9FDF", "#00AFBB", "#E7B800", "#FC4E07"),
          color_labels_by_k = TRUE, # color labels by groups
          rect = TRUE # Add rectangle around groups
          )
## Warning: The `<scale>` argument of `guides()` cannot be `FALSE`. Use "none" instead as
## of ggplot2 3.3.4.
## ℹ The deprecated feature was likely used in the factoextra package.
##   Please report the issue at <https://github.com/kassambara/factoextra/issues>.
## This warning is displayed once every 8 hours.
## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
## generated.

  1. Model Insights (10 points): Cluster Analysis

Viewing heigh based on cluster hierachy and have observation:

total height = -1 for excellent and very good

total height = -2 for bad, poor, average and good

Cluster 2 seems to have better-defined clusters with higher average silhouette width, indicating that the observations within Cluster 2 are more similar to each other and distinct from observations in other clusters.

Cluster 1, on the other hand, has a lower average silhouette width, suggesting that the observations within this cluster may not be as well-separated from observations in other clusters, potentially indicating less distinct clusters or overlap between clusters.

A higher average silhouette width generally indicates better clustering quality, as it implies that the clusters are more distinct and well-separated.

# Quality of Clustering

set.seed(123)
# Enhanced hierarchical clustering, cut in 3 groups
res.hc <- matstd.can[, -1] %>% scale() %>%
  eclust("hclust", k = 2, graph = FALSE)

# Visualize with factoextra
fviz_dend(res.hc, palette = "jco",
          rect = TRUE, show_labels = FALSE)

#Inspect the silhouette plot:
fviz_silhouette(res.hc)
##   cluster size ave.sil.width
## 1       1    4          0.50
## 2       2    2          0.76

# Silhouette width of observations
sil <- res.hc$silinfo$widths[, 1:3]

# Objects with negative silhouette
neg_sil_index <- which(sil[, 'sil_width'] < 0)
sil[neg_sil_index, , drop = FALSE]
## [1] cluster   neighbor  sil_width
## <0 rows> (or 0-length row.names)
# Factor Analysis

library(psych)


#for loading csv data
library(readr)

# Read the CSV file
df <- read_csv("C:/Rutgers/Subjects/Spring Sem/Multivariate Analysis/Data/wine_new.csv")
## Rows: 1143 Columns: 12
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): quality
## dbl (11): fixed acidity, volatile acidity, citric acid, residual sugar, chlo...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
#dataframe
df
## # A tibble: 1,143 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             6.7               0.58          0.08              1.8     0.097
## # ℹ 1,133 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>
# Assuming df is your dataframe
attach(df)
## The following objects are masked from df (pos = 3):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 15):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 18):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
#selected these columns because of positive and negative correlation, other columns were not beneficial for analysis
selected_cols <- df


selected_cols
## # A tibble: 1,143 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             6.7               0.58          0.08              1.8     0.097
## # ℹ 1,133 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>

Data Pre-processing:

Group by to calculate mean for all the attributes per target variable value.

# Group by column 6 and calculate the average of all other columns within each group
grouped_avg <- aggregate(. ~ quality, data = selected_cols[, -4], FUN = mean)

# Print the grouped averages
print(grouped_avg)
##     quality fixed acidity volatile acidity citric acid  chlorides
## 1   Average      8.161077        0.5852795   0.2401242 0.09177019
## 2       Bad      8.450000        0.8975000   0.2116667 0.10533333
## 3 Excellent      8.806250        0.4100000   0.4325000 0.07018750
## 4      Good      8.317749        0.5049567   0.2636797 0.08528139
## 5      Poor      7.809091        0.7000000   0.1657576 0.09478788
## 6 Very Good      8.851049        0.3936713   0.3865734 0.07521678
##   free sulfur dioxide total sulfur dioxide   density       pH sulphates
## 1           16.612836             55.29917 0.9970727 3.302091 0.6133747
## 2            8.166667             24.50000 0.9976817 3.361667 0.5500000
## 3           11.062500             29.37500 0.9955531 3.240625 0.7662500
## 4           15.215368             39.94156 0.9966095 3.323788 0.6765368
## 5           14.848485             40.60606 0.9966694 3.391212 0.6378788
## 6           14.538462             37.48951 0.9960708 3.287133 0.7435664
##     alcohol
## 1  9.902277
## 2  9.691667
## 3 11.937500
## 4 10.655339
## 5 10.260606
## 6 11.482634
# Set the first column as row names
row.names(grouped_avg) <- grouped_avg[, 1]  # Assuming the first column contains row names

# Remove the first column from the dataframe
grouped_avg <- grouped_avg[, -1]

# View the dataframe
grouped_avg
##           fixed acidity volatile acidity citric acid  chlorides
## Average        8.161077        0.5852795   0.2401242 0.09177019
## Bad            8.450000        0.8975000   0.2116667 0.10533333
## Excellent      8.806250        0.4100000   0.4325000 0.07018750
## Good           8.317749        0.5049567   0.2636797 0.08528139
## Poor           7.809091        0.7000000   0.1657576 0.09478788
## Very Good      8.851049        0.3936713   0.3865734 0.07521678
##           free sulfur dioxide total sulfur dioxide   density       pH sulphates
## Average             16.612836             55.29917 0.9970727 3.302091 0.6133747
## Bad                  8.166667             24.50000 0.9976817 3.361667 0.5500000
## Excellent           11.062500             29.37500 0.9955531 3.240625 0.7662500
## Good                15.215368             39.94156 0.9966095 3.323788 0.6765368
## Poor                14.848485             40.60606 0.9966694 3.391212 0.6378788
## Very Good           14.538462             37.48951 0.9960708 3.287133 0.7435664
##             alcohol
## Average    9.902277
## Bad        9.691667
## Excellent 11.937500
## Good      10.655339
## Poor      10.260606
## Very Good 11.482634
  1. Explain the output for your factor model

principal(): This function from the psych package in R is used to perform PCA.

nfactors=3: This parameter specifies the number of factors or components to be extracted from the data. In this case, it’s set to 3, indicating that the analysis will produce three principal components.

rotate=“varimax”: This parameter specifies the rotation method to be applied to the extracted components. “Varimax” is a common rotation method used in PCA to simplify the interpretation of the components by maximizing the variance of the squared loadings within each component.

[1] Observation 1:

Variance Explained: The three principal components (RC1, RC2, RC3) collectively explain a significant portion of the variance in the data. Specifically, RC1 accounts for 50% of the total variance, RC2 explains 26%, and RC3 explains 23%. Together, these components cumulatively explain 98% of the total variance in the data.

Fit of the Model: The analysis suggests that the chosen model with three components provides a good fit to the data. This is supported by the root mean square of the residuals (RMSR) of 0.01, indicating that the model residuals are relatively small. Additionally, the empirical chi-square value of 0.09 with a probability greater than 1 suggests that the model fits the data well.

Mean Item Complexity: The average complexity of the items in the analysis is 1.5, indicating that the variables in the dataset have moderate complexity in contributing to the principal components.

Overall, the PCA results suggest that the three principal components derived from the dataset adequately summarize the underlying structure of the data, with a high proportion of variance explained and a good fit of the model to the data.

RMSR of 0.01 suggests that the model’s residuals, or the differences between the observed and predicted values, are quite small, indicating a good fit of the model to the data.

empirical chi-square value of 0.09 indicates a good fit of the model to the data.

[2] Observation 2:

[1] We have 3 component factors: RC1, RC2 and RC3

RC1 - has high positive correlation with: density, chlorides and Volatile acidity

RC1 - negative correlation with: alcohol and citric acid

RC2 - High positive correlation with Sulphur dioxide components

RC3 - High negative correlation with pH

h2 analysis: [2] “fixed acidity” has an h2 value of 0.95, indicating that 95% of its variance is explained by the principal components.

[2] “alcohol” has h2 values of 0.99 indicating that 99% of its variance is explained by principal components.

Com (Communality): These values represent the proportion of variance in each variable that is accounted for by the principal components.

It is calculated as 1 - u2.

Higher values indicate that more variance in the variable is explained by the principal components.

For example, “fixed acidity” has a communality of 2.0, indicating that 2.0 units of variance are explained by the principal components.

fit.pc <- principal(grouped_avg[-1], nfactors=3, rotate="varimax")
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in principal(grouped_avg[-1], nfactors = 3, rotate = "varimax"): The
## matrix is not positive semi-definite, scores found from Structure loadings
fit.pc
## Principal Components Analysis
## Call: principal(r = grouped_avg[-1], nfactors = 3, rotate = "varimax")
## Standardized loadings (pattern matrix) based upon correlation matrix
##                        RC1   RC2   RC3   h2      u2 com
## volatile acidity      0.84 -0.35  0.39 0.98 0.01556 1.8
## citric acid          -0.74 -0.21 -0.63 0.99 0.01208 2.1
## chlorides             0.91 -0.10  0.40 1.00 0.00027 1.4
## free sulfur dioxide  -0.20  0.97  0.11 0.99 0.00528 1.1
## total sulfur dioxide  0.14  0.98 -0.07 0.99 0.01084 1.1
## density               0.97 -0.03  0.19 0.97 0.02622 1.1
## pH                    0.56 -0.01  0.82 0.99 0.00575 1.8
## sulphates            -0.97  0.05 -0.25 1.00 0.00025 1.1
## alcohol              -0.94 -0.16 -0.29 1.00 0.00055 1.2
## 
##                        RC1  RC2  RC3
## SS loadings           5.23 2.11 1.58
## Proportion Var        0.58 0.23 0.18
## Cumulative Var        0.58 0.82 0.99
## Proportion Explained  0.59 0.24 0.18
## Cumulative Proportion 0.59 0.82 1.00
## 
## Mean item complexity =  1.4
## Test of the hypothesis that 3 components are sufficient.
## 
## The root mean square of the residuals (RMSR) is  0.01 
##  with the empirical chi square  0.02  with prob <  1 
## 
## Fit based upon off diagonal values = 1

These eigenvalues represent the amount of variance explained by each principal component. The higher the eigenvalue, the more variance the corresponding principal component explains in the dataset. In this case, PC1 explains the highest amount of variance, followed by PC2, PC3, and so on.

round(fit.pc$values, 3)
## [1] 6.337 2.109 0.478 0.063 0.014 0.000 0.000 0.000 0.000

Loadings:

Variables with higher absolute loadings (close to 1 or -1) on a particular principal component contribute more to that component’s interpretation.

Observations:

negative correlations for loadings: [1] “alcohol” has a high negative loading on RC1 (-0.913)

[2] sulphates = -0.943

Positive correlations: [3] density = 0.964

[3] “volatile acidity” has a high positive loading on RC1 (0.811), indicating that these variables strongly contribute to RC1.

fit.pc$loadings
## 
## Loadings:
##                      RC1    RC2    RC3   
## volatile acidity      0.842 -0.350  0.391
## citric acid          -0.742 -0.206 -0.628
## chlorides             0.911         0.401
## free sulfur dioxide  -0.196  0.971  0.114
## total sulfur dioxide  0.140  0.982       
## density               0.968         0.188
## pH                    0.562         0.824
## sulphates            -0.967        -0.248
## alcohol              -0.945 -0.156 -0.287
## 
##                  RC1   RC2   RC3
## SS loadings    5.230 2.110 1.583
## Proportion Var 0.581 0.234 0.176
## Cumulative Var 0.581 0.816 0.991

These values represent the standardized loadings of the variables on each principal component. They indicate the strength and direction of the relationship between each variable and the corresponding component.

Loadings for RC1: -0.3805855: This indicates that there is a negative relationship between the variable represented by this loading and the first principal component (RC1). The closer the value is to -1, the stronger the negative relationship.

Loadings for RC3: -0.4155047: This also indicates a negative relationship between the variable represented by this loading and the third principal component (RC3). Similarly, the closer the value is to -1, the stronger the negative relationship.

Loadings for RC2: 0.7945425: This value indicates a positive relationship between the variable represented by this loading and the second principal component (RC2). The closer the value is to 1, the stronger the positive relationship.

These loadings help in understanding the contribution of each variable to each principal component. Positive loadings indicate that the variable increases as the component increases, while negative loadings indicate the opposite.

# Loadings with more digits
for (i in c(1,3,2)) { print(fit.pc$loadings[[1,i]])}
## [1] 0.8419645
## [1] 0.3910259
## [1] -0.3501938

Observations:

[1] Fixed Acidity: 94.88% of the variance in fixed acidity is explained by the principal components.

Volatile Acidity: 98.62% of the variance in volatile acidity is explained by the principal components.

Citric Acid: 99.78% of the variance in citric acid is explained by the principal components.

Chlorides: 99.94% of the variance in chlorides is explained by the principal components.

Free Sulfur Dioxide: 97.81% of the variance in free sulfur dioxide is explained by the principal components.

Total Sulfur Dioxide: 99.07% of the variance in total sulfur dioxide is explained by the principal components.

Density: 98.44% of the variance in density is explained by the principal components.

pH: 95.38% of the variance in pH is explained by the principal components.

Sulphates: 99.86% of the variance in sulphates is explained by the principal components.

Alcohol: 99.95% of the variance in alcohol is explained by the principal components.

These values indicate how well each variable is represented by the principal components. Higher communalities suggest that the variable is well captured by the principal components and contributes significantly to the underlying structure.

# Communalities
fit.pc$communality
##     volatile acidity          citric acid            chlorides 
##            0.9844413            0.9879237            0.9997271 
##  free sulfur dioxide total sulfur dioxide              density 
##            0.9947191            0.9891620            0.9737830 
##                   pH            sulphates              alcohol 
##            0.9942539            0.9997452            0.9994502

RC1:

Observation 2: This observation has the highest positive score on RC1 among all observations, indicating a strong positive association with the factors represented by RC1. This suggests that Observation 2 is strongly influenced by the characteristics or variables captured by RC1.

RC2:

Observation 3: This observation has the highest negative score on RC2, suggesting a strong negative association with the underlying factors represented by RC2. This indicates that Observation 3 differs significantly from other observations in terms of the variables or characteristics represented by RC2.

RC3:

Observation 1: This observation has the highest positive score on RC3, indicating a strong positive association with the factors represented by RC3. This suggests that Observation 1 exhibits distinct characteristics or variables compared to other observations, as captured by RC3.

# Rotated factor scores, Notice the columns ordering: RC1, RC3, RC2 and RC4
fit.pc$scores
##                 RC1        RC2         RC3
## Average    2.526558  2.7228016  0.68396598
## Bad        7.555390 -3.3661798  3.14012666
## Excellent -7.713515 -1.4680504 -3.96613312
## Good      -0.487706  0.9465044  0.01352126
## Poor       3.422658  0.6947206  2.56799571
## Very Good -5.303385  0.4702036 -2.43947649
  1. Model Insights (10 points): Factor Analysis
  1. Decide how many Factors are ideal for your dataset Ans: As per analysis 2-3 factors are best as per the elbow

Observations:

[1] 2 RCA’s see, to indicate most of the variance before the elbow point. Indicating that we should only use 2 factors ideally, as RCA’s.

[2] rest of the points are below the reference line and cover up less variance.

# Play with FA utilities

fa.parallel(grouped_avg[-1]) # See factor recommendation
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate = rotate, : An
## ultra-Heywood case was detected.  Examine the results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(model): Matrix was not positive definite, smoothing was
## done
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate = rotate, : An
## ultra-Heywood case was detected.  Examine the results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in fa.stats(r = r, f = f, phi = phi, n.obs = n.obs, np.obs = np.obs, :
## The estimated weights for the factor scores are probably incorrect.  Try a
## different factor score estimation method.
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate = rotate, : An
## ultra-Heywood case was detected.  Examine the results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## Warning in cor.smooth(r): An ultra-Heywood case was detected.  Examine the
## results carefully
## In factor.scores, the correlation matrix is singular, the pseudo inverse is  used

## Parallel analysis suggests that the number of factors =  1  and the number of components =  1
fa.plot(fit.pc) # See Correlations within Factors

Component Analysis:

  1. Show the columns that go into each factor

Correlation of variables to factors and contribution of each variable

RC1: density, chlorides and volatile acidity are positively correlated with RC1

sulphates and alcohol have high negative correlation with RC1

RC3: [1] pH has negative correlation with RC3

[2] Citric acid and fixed acidity is negatively correlated to RC3

fa.diagram(fit.pc) # Visualize the relationship

  1. Model Insights (10 points): Factor Analysis
  1. Perform some visualizations using the factors

[1] 2-3 factors are the points where the elbows are present

[2] 2 factors are the best as per elbow present at 2nd point after that the line is not very vertical

plot(fit.pc$values, type="b", main="Scree Plot")

  1. Show the columns that go into each factor

Observation:

Used bar plot to map each attribute in respective factors.

Correlation of variables to factors and contribution of each variable

RC1: density, chlorides and volatile acidity are positively correlated with RC1

sulphates and alcohol have high negative correlation with RC1

RC3: [1] pH has negative correlation with RC3

[2] Citric acid and fixed acidity is negatively correlated to RC3

# Calculate the absolute values of factor loadings
loadings_abs <- abs(fit.pc$loadings)

# Create a bar plot for factor loadings
barplot(t(loadings_abs), beside = TRUE, col = rainbow(ncol(loadings_abs)),
        main = "Absolute Factor Loadings", xlab = "Variables", ylab = "Loadings",
        legend.text = TRUE, las = 2, cex.names = 0.8)  # Rotate x-axis labels and adjust their size

# Rotate x-axis labels to vertical position and adjust their size
  1. Model Insights (10 points): Factor Analysis

The VSS scores suggest that a very simple structure with 2 factors achieves a high level of fit.

The Velicer MAP suggests that 1 factor may be sufficient. However, the BIC and Sample Size Adjusted BIC favor a 3-factor solution, as indicated by the lowest values.

Overall, considering all the criteria, a 3-factor solution seems to be the most appropriate choice for this factor analysis.

We get best results when factors are 2 as per Very Simple Structure Life

vss(grouped_avg[-1]) # See Factor recommendations for a simple structure
## Warning in sqrt(e$values): NaNs produced
## Warning in sqrt(diag(c11.star)): NaNs produced

## Warning in sqrt(diag(c11.star)): NaNs produced

## Warning in sqrt(diag(c11.star)): NaNs produced
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate = rotate, : An
## ultra-Heywood case was detected.  Examine the results carefully
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(model): Matrix was not positive definite, smoothing was
## done
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in fa.stats(r = r, f = f, phi = phi, n.obs = n.obs, np.obs = np.obs, :
## The estimated weights for the factor scores are probably incorrect.  Try a
## different factor score estimation method.
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate = rotate, : An
## ultra-Heywood case was detected.  Examine the results carefully
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(model): Matrix was not positive definite, smoothing was
## done
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## Warning in fac(r = r, nfactors = nfactors, n.obs = n.obs, rotate = rotate, : An
## ultra-Heywood case was detected.  Examine the results carefully
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## In smc, smcs < 0 were set to .0
## Warning in cor.smooth(r): Matrix was not positive definite, smoothing was done

## 
## Very Simple Structure
## Call: vss(x = grouped_avg[-1])
## VSS complexity 1 achieves a maximimum of 0.97  with  2  factors
## VSS complexity 2 achieves a maximimum of 0.99  with  2  factors
## 
## The Velicer MAP achieves a minimum of 0.39  with  1  factors 
## BIC achieves a minimum of  -3907563  with  2  factors
## Sample Size adjusted BIC achieves a minimum of  -3907508  with  2  factors
## 
## Statistics by number of factors 
##   vss1 vss2  map dof chisq  prob sqresid  fit RMSEA        BIC    SABIC complex
## 1 0.89 0.00 0.39  27    43 0.026 4.71330 0.89  0.26       -5.4       73     1.0
## 2 0.97 0.99 0.57  19     0 1.000 0.26845 0.99  0.00 -3907562.7 -3907508     1.1
## 3 0.78 0.98 0.47  12     0 1.000 0.00632 1.00  0.00 -3110870.2 -3110836     1.4
## 4 0.78 0.98 1.00   6     0 1.000 0.00038 1.00  0.00     -106.9      -90     1.4
## 5 0.78 0.98  NaN   1     0 1.000 0.00013 1.00  0.00     -138.2     -135     1.4
## 6 0.78 0.98  NaN  -3     0    NA 0.00013 1.00    NA         NA       NA     1.4
## 7 0.78 0.98  NaN  -6     0    NA 0.00013 1.00    NA         NA       NA     1.4
## 8 0.78 0.98  NaN  -8     0    NA 0.00013 1.00    NA         NA       NA     1.4
##     eChisq    SRMR  eCRMS  eBIC
## 1 15.60168 0.19004 0.2194 -32.8
## 2  0.77163 0.04226 0.0582 -33.3
## 3  0.01108 0.00506 0.0088 -21.5
## 4  0.00057 0.00115 0.0028 -10.7
## 5  0.00025 0.00075 0.0045  -1.8
## 6  0.00025 0.00075     NA    NA
## 7  0.00025 0.00075     NA    NA
## 8  0.00025 0.00075     NA    NA

High Positive Correlations:

volatile acidity & citric acid: They exhibit a strong negative correlation of approximately -0.80, indicating that as one variable increases, the other tends to decrease, and vice versa.

chlorides & density: They show a strong positive correlation of approximately 0.96, suggesting that as one variable increases, the other also tends to increase, and vice versa.

volatile acidity & chlorides: They have a strong positive correlation of approximately 0.96, indicating a similar trend as chlorides and density.

Moderate Positive Correlations:

free sulfur dioxide & total sulfur dioxide: They demonstrate a moderate positive correlation of approximately 0.91, suggesting a moderate relationship between these two variables.

density & pH: They exhibit a moderate positive correlation of approximately 0.71, indicating a moderate positive relationship between the density and pH of the solution. Strong Negative Correlations:

sulphates & chlorides: They display a strong negative correlation of approximately -0.99, indicating that as one variable increases, the other tends to decrease, and vice versa.

sulphates & density: They show a strong negative correlation of approximately -0.98, suggesting an inverse relationship between sulphates and density.

Moderate Negative Correlations:

pH & citric acid: They have a moderate negative correlation of approximately -0.92, indicating an inverse relationship between pH and citric acid.

pH & sulphates: They exhibit a moderate negative correlation of approximately -0.75, suggesting an inverse relationship between pH and sulphates.

matstd.can <- scale(grouped_avg)
matstd.can
##           fixed acidity volatile acidity citric acid  chlorides
## Average      -0.6013575       0.01758824  -0.4157915  0.3597692
## Bad           0.1282826       1.64310930  -0.6893140  1.4037560
## Excellent     1.0279477      -0.89497363   1.4332464 -1.3015000
## Good         -0.2057010      -0.40059824  -0.1893863 -0.1396888
## Poor         -1.4902536       0.61486032  -1.1305735  0.5920480
## Very Good     1.1410818      -0.97998599   0.9918188 -0.9143845
##           free sulfur dioxide total sulfur dioxide        density         pH
## Average             1.0150395           1.63738908  0.62178608818 -0.2909003
## Bad                -1.6595289          -1.25580824  1.43946495602  0.8156693
## Excellent          -0.7425328          -0.79786291 -1.41836132566 -1.4325849
## Good                0.5725164           0.19473322  0.00001172608  0.1121005
## Poor                0.4563390           0.25715489  0.08036560197  1.3644530
## Very Good           0.3581669          -0.03560605 -0.72326704660 -0.5687377
##            sulphates       alcohol
## Average   -0.6288205 -0.8436926707
## Bad       -1.4067659 -1.0797555321
## Excellent  1.2477728  1.4374844590
## Good       0.1465142  0.0003757336
## Poor      -0.3280254 -0.4420603952
## Very Good  0.9693247  0.9276484054
## attr(,"scaled:center")
##        fixed acidity     volatile acidity          citric acid 
##           8.39920256           0.58190126           0.28338359 
##            chlorides  free sulfur dioxide total sulfur dioxide 
##           0.08709618          13.40738624          37.86855023 
##              density                   pH            sulphates 
##           0.99660954           3.31775261           0.66460113 
##              alcohol 
##          10.65500388 
## attr(,"scaled:scale")
##        fixed acidity     volatile acidity          citric acid 
##         0.3959807032         0.1920741022         0.1040410114 
##            chlorides  free sulfur dioxide total sulfur dioxide 
##         0.0129916845         3.1579562553        10.6453755011 
##              density                   pH            sulphates 
##         0.0007448114         0.0538380692         0.0814642468 
##              alcohol 
##         0.8921808573

Volatile Acidity and Citric Acid:

They have a strong negative correlation of approximately -0.80, suggesting that as the volatile acidity increases, the citric acid tends to decrease, and vice versa. Chlorides and Density:

They exhibit a strong positive correlation of approximately 0.96, indicating that as the concentration of chlorides increases, the density also tends to increase. Free Sulfur Dioxide and Total Sulfur Dioxide:

They show a moderate positive correlation of approximately 0.91, suggesting that the levels of free sulfur dioxide and total sulfur dioxide tend to increase together. Sulphates and Chlorides:

They display a strong negative correlation of approximately -0.99, indicating an inverse relationship between sulphates and chlorides. pH and Citric Acid:

They have a moderate negative correlation of approximately -0.92, suggesting an inverse relationship between pH and citric acid. Sulphates and Density:

They exhibit a strong negative correlation of approximately -0.98, indicating an inverse relationship between sulphates and density. Alcohol and Chlorides:

They show a strong negative correlation of approximately -0.96, suggesting that as the alcohol content increases, the concentration of chlorides tends to decrease.

# Computing Correlation Matrix
corrm.emp <- cor(grouped_avg[-1])
corrm.emp
##                      volatile acidity citric acid    chlorides
## volatile acidity            1.0000000  -0.8027789  0.958746076
## citric acid                -0.8027789   1.0000000 -0.906478075
## chlorides                   0.9587461  -0.9064781  1.000000000
## free sulfur dioxide        -0.4688300  -0.1222912 -0.227057780
## total sulfur dioxide       -0.2411134  -0.2643255  0.004451211
## density                     0.8807462  -0.8183699  0.959855450
## pH                          0.7937278  -0.9244950  0.843412095
## sulphates                  -0.9299123   0.8648062 -0.985194279
## alcohol                    -0.8513089   0.9150260 -0.960026969
##                      free sulfur dioxide total sulfur dioxide     density
## volatile acidity           -0.4688300123         -0.241113429  0.88074617
## citric acid                -0.1222911510         -0.264325499 -0.81836987
## chlorides                  -0.2270577802          0.004451211  0.95985545
## free sulfur dioxide         1.0000000000          0.910917763 -0.18537720
## total sulfur dioxide        0.9109177631          1.000000000  0.07769861
## density                    -0.1853771978          0.077698613  1.00000000
## pH                         -0.0204062350          0.007064232  0.70923566
## sulphates                   0.2102299594         -0.069776628 -0.98264313
## alcohol                    -0.0002273318         -0.263807504 -0.96484059
##                                pH   sulphates       alcohol
## volatile acidity      0.793727768 -0.92991231 -0.8513088926
## citric acid          -0.924495029  0.86480622  0.9150260204
## chlorides             0.843412095 -0.98519428 -0.9600269688
## free sulfur dioxide  -0.020406235  0.21022996 -0.0002273318
## total sulfur dioxide  0.007064232 -0.06977663 -0.2638075044
## density               0.709235663 -0.98264313 -0.9648405891
## pH                    1.000000000 -0.74690293 -0.7650657404
## sulphates            -0.746902928  1.00000000  0.9774806274
## alcohol              -0.765065740  0.97748063  1.0000000000
plot(corrm.emp)

grouped_avg_pca <- prcomp(grouped_avg[-1], scale=TRUE)
summary(grouped_avg_pca)
## Importance of components:
##                           PC1    PC2    PC3     PC4     PC5                 PC6
## Standard deviation     2.5173 1.4521 0.6913 0.25041 0.11870 0.00000000000004488
## Proportion of Variance 0.7041 0.2343 0.0531 0.00697 0.00157 0.00000000000000000
## Cumulative Proportion  0.7041 0.9384 0.9915 0.99843 1.00000 1.00000000000000000
plot(grouped_avg_pca)

The first principal component explains the highest variance with an eigenvalue of 6.337. The second principal component explains a substantial amount of variance with an eigenvalue of 2.109. The third principal component explains a moderate amount of variance with an eigenvalue of 0.478. The fourth to sixth principal components have eigenvalues of 0.063, 0.014, and 0.000 respectively, indicating diminishing contribution to the overall variance explained.

# Load required libraries
library(cluster)     # For cluster analysis
library(readr)       # For reading data files
library(factoextra)  # For visualizing multivariate analysis results
library(magrittr)    # For using the pipe operator %>%
library(NbClust)     # For determining the optimal number of clusters
#for loading csv data
library(readr)

# Read the CSV file
df <- read_csv("C:/Rutgers/Subjects/Spring Sem/Multivariate Analysis/Data/wine.csv")
## Rows: 1599 Columns: 12
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): quality
## dbl (11): fixed acidity, volatile acidity, citric acid, residual sugar, chlo...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
#dataframe
df
## # A tibble: 1,599 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>
attach(df)
## The following objects are masked from df (pos = 3):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 4):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 16):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 19):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
xtabs(~ quality + alcohol, data = df)
##        alcohol
## quality 8.4 8.5 8.7 8.8  9 9.05 9.1 9.2 9.23333333333333 9.25 9.3 9.4 9.5 9.55
##    bad    1   1   0   2 14    1  16  53                0    0  46  81  97    1
##    good   1   0   2   0 16    0   7  19                1    1  13  22  42    1
##        alcohol
## quality 9.56666666666667 9.6 9.7 9.8 9.9 9.95 10 10.0333333333333 10.1 10.2
##    bad                 0  44  38  53  27    1 33                0   24   22
##    good                1  15  16  25  22    0 34                2   23   24
##        alcohol
## quality 10.3 10.4 10.5 10.55 10.6 10.7 10.75 10.8 10.9 11 11.0666666666667 11.1
##    bad    14   15   32     0    8    8     0    9   17 24                0    8
##    good   19   26   35     2   20   19     1   33   32 35                1   19
##        alcohol
## quality 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 11.95 12 12.1 12.2 12.3 12.4
##    bad    11    6   11    5    1    1    3    1     1  2    1    1    0    0
##    good   25   26   21   25   14   22   26   19     0 19   12   11   12   13
##        alcohol
## quality 12.5 12.6 12.7 12.8 12.9 13 13.1 13.2 13.3 13.4 13.5 13.5666666666667
##    bad     0    1    0    1    2  4    1    0    0    0    0                0
##    good   21    5    9   16    7  2    1    1    3    3    1                1
##        alcohol
## quality 13.6 14 14.9
##    bad     0  0    1
##    good    4  7    0
xtabs(~ quality + `citric acid`, data = df)
##        citric acid
## quality  0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.1 0.11 0.12 0.13 0.14
##    bad  70   12   20   20   19   13   12   11   17   15  21    9   12    9   14
##    good 62   21   30   10   10    7   12   11   16   15  14    6   15    9    7
##        citric acid
## quality 0.15 0.16 0.17 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28
##    bad    11    4   11    9   13  17   22   16   17   25   18   28    8   10
##    good    8    5    5   13    8   8   11   11    8   26    9   10   12    9
##        citric acid
## quality 0.29 0.3 0.31 0.32 0.33 0.34 0.35 0.36 0.37 0.38 0.39 0.4 0.41 0.42
##    bad    14  12    9   14   11    6    6   11    6    5    9   8    5    7
##    good    7  18   21   18   14   18    7    9   13    9   19  21   11   22
##        citric acid
## quality 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.5 0.51 0.52 0.53 0.54 0.55 0.56
##    bad     5    9    5    2    3    8   35  10    3    7    1    5    4    1
##    good   10   14   17   17   15   15   33  10   10   10   13    8    8    7
##        citric acid
## quality 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.7
##    bad     3    4    4   5    2    0    3    2    5    3    0    3    0   2
##    good    6    5    4   4    0    1    7    7    2   11    2    8    4   0
##        citric acid
## quality 0.71 0.72 0.73 0.74 0.75 0.76 0.78 0.79  1
##    bad     0    0    0    1    0    1    0    1  1
##    good    1    1    3    3    1    2    1    0  0
xtabs(~ quality + `fixed acidity`, data = df)
##        fixed acidity
## quality 4.6 4.7 4.9  5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9  6 6.1 6.2 6.3 6.4
##    bad    1   0   0  2   0   1   1   0   0  10   1   1   3  6  10  11   5  11
##    good   0   1   1  4   4   5   3   5   1   4   1   3   6  7   6   9   9  14
##        fixed acidity
## quality 6.5 6.6 6.7 6.8 6.9  7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9  8 8.1 8.2
##    bad    8  17  13  22  17 24  34  32  25  25  28  27  28  30  17 19  19  16
##    good   9  20  15  24  21 26  23  35  19  19  24  19  21  23  25 23   7  29
##        fixed acidity
## quality 8.3 8.4 8.5 8.6 8.7 8.8 8.9  9 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10
##    bad   19  15   9  17  10  19  12 17   8  10  12   5   7   8   5   6  19  9
##    good  21  11  10  10  14  15  21  9  21   6  10  12   7   9   4   9   7 14
##        fixed acidity
## quality 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 11 11.1 11.2 11.3 11.4
##    bad     1    6    2    5    1    5    4    5    1  2    2    2    2    1
##    good    9   13    9   16   11    9    6    5    7  1    7    3    5    4
##        fixed acidity
## quality 11.5 11.6 11.7 11.8 11.9 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8
##    bad     2    4    1    0    3  1    1    2    4    1    4    0    3    0
##    good   11    8    2    3    9  6    0    2    1    3    3    4    1    5
##        fixed acidity
## quality 12.9 13 13.2 13.3 13.4 13.5 13.7 13.8 14 14.3 15 15.5 15.6 15.9
##    bad     0  1    1    1    0    1    0    0  0    0  0    2    1    1
##    good    2  2    2    2    1    0    2    1  1    1  2    0    1    0
xtabs(~ quality + `volatile acidity`, data=df)
##        volatile acidity
## quality 0.12 0.16 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26 0.27 0.28 0.29
##    bad     0    0    2    1   1    1    0    2    2    0    2    1    5    3
##    good    3    2    8    1   2    5    6    3   11    7   14   13   18   13
##        volatile acidity
## quality 0.295 0.3 0.305 0.31 0.315 0.32 0.33 0.34 0.35 0.36 0.365 0.37 0.38
##    bad      0   0     0    4     0   10    4    9    7    5     2    9   11
##    good     1  16     2   26     2   13   16   21   15   33     0   15   24
##        volatile acidity
## quality 0.39 0.395 0.4 0.41 0.415 0.42 0.43 0.44 0.45 0.46 0.47 0.475 0.48 0.49
##    bad    16     0   9   16     1   12   23    7   12   17   10     0    9   16
##    good   19     2  28   17     2   19   20   16   10   14   11     2   15   19
##        volatile acidity
## quality 0.5 0.51 0.52 0.53 0.54 0.545 0.55 0.56 0.565 0.57 0.575 0.58 0.585
##    bad   25    2   15    8   15     0   11   21     1   12     3   18     1
##    good  21   22   18   21   16     5    9   13     0   16     0   20     2
##        volatile acidity
## quality 0.59 0.595 0.6 0.605 0.61 0.615 0.62 0.625 0.63 0.635 0.64 0.645 0.65
##    bad    22     1  31     1   18     4   16     2   16     4   19     6    8
##    good   17     0  16     2    9     2    8     1   13     5    8     6    8
##        volatile acidity
## quality 0.655 0.66 0.665 0.67 0.675 0.68 0.685 0.69 0.695 0.7 0.705 0.71 0.715
##    bad      7   16     3   13     3    9     7   14     6   6     5    2     7
##    good     0   10     0   10     0    3     4    9     1   4     1    1     5
##        volatile acidity
## quality 0.72 0.725 0.73 0.735 0.74 0.745 0.75 0.755 0.76 0.765 0.77 0.775 0.78
##    bad     4     6    6     5    5     3    3     2    2     3    3     3    8
##    good    1     3    0     3    6     2    3     1    3     2    3     1    2
##        volatile acidity
## quality 0.785 0.79 0.795 0.8 0.805 0.81 0.815 0.82 0.825 0.83 0.835 0.84 0.845
##    bad      4    1     1   2     1    1     2    5     0    3     3    2     1
##    good     4    1     1   1     0    1     1    0     1    1     1    6     0
##        volatile acidity
## quality 0.85 0.855 0.86 0.865 0.87 0.875 0.88 0.885 0.89 0.895 0.9 0.91 0.915
##    bad     1     0    1     0    4     2    5     5    1     0   2    2     3
##    good    1     3    1     1    0     0    0     0    0     1   1    1     1
##        volatile acidity
## quality 0.92 0.935 0.95 0.955 0.96 0.965 0.975 0.98  1 1.005 1.01 1.02 1.025
##    bad     1     2    1     1    2     3     1    2  1     1    0    3     1
##    good    0     0    0     0    1     0     0    1  2     0    1    1     0
##        volatile acidity
## quality 1.035 1.04 1.07 1.09 1.115 1.13 1.18 1.185 1.24 1.33 1.58
##    bad      1    2    1    1     1    1    1     1    1    2    1
##    good     0    1    0    0     0    0    0     0    0    0    0
xtabs(~ quality + `residual sugar`, data=df)
##        residual sugar
## quality 0.9 1.2 1.3 1.4 1.5 1.6 1.65 1.7 1.75 1.8 1.9  2 2.05 2.1 2.15 2.2 2.25
##    bad    0   2   3  15  17  38    1  33    1  60  56 77    0  52    0  59    1
##    good   2   6   2  20  13  20    1  43    1  69  61 79    2  76    2  72    0
##        residual sugar
## quality 2.3 2.35 2.4 2.5 2.55 2.6 2.65 2.7 2.8 2.85 2.9 2.95  3 3.1 3.2 3.3 3.4
##    bad   54    1  26  37    1  42    0  18  19    1  12    0 13   3   4   6  12
##    good  55    0  60  47    0  37    1  21  30    0  12    1 12   4  11   5   3
##        residual sugar
## quality 3.45 3.5 3.6 3.65 3.7 3.75 3.8 3.9  4 4.1 4.2 4.25 4.3 4.4 4.5 4.6 4.65
##    bad     1   1   1    0   1    1   5   6  2   2   3    1   4   2   4   1    2
##    good    0   1   7    1   3    0   3   0  9   4   2    0   4   2   0   5    0
##        residual sugar
## quality 4.7 4.8  5 5.1 5.15 5.2 5.4 5.5 5.6 5.7 5.8 5.9  6 6.1 6.2 6.3 6.4 6.55
##    bad    0   2  0   1    1   0   1   4   4   1   1   2  1   4   0   1   2    0
##    good   1   1  1   4    0   3   0   4   2   0   3   1  3   0   3   1   1    2
##        residual sugar
## quality 6.6 6.7  7 7.2 7.3 7.5 7.8 7.9 8.1 8.3 8.6 8.8 8.9  9 10.7 11 12.9 13.4
##    bad    2   1  1   1   1   1   2   3   2   0   0   0   0  0    0  0    1    0
##    good   0   1  0   0   0   0   0   0   0   3   1   2   1  1    1  2    0    1
##        residual sugar
## quality 13.8 13.9 15.4 15.5
##    bad     2    0    0    1
##    good    0    1    2    0
xtabs(~ quality + chlorides, data=df)
##        chlorides
## quality 0.012 0.034 0.038 0.039 0.041 0.042 0.043 0.044 0.045 0.046 0.047 0.048
##    bad      0     0     0     1     1     1     0     0     2     0     2     2
##    good     2     1     2     3     3     2     1     5     2     4     2     6
##        chlorides
## quality 0.049 0.05 0.051 0.052 0.053 0.054 0.055 0.056 0.057 0.058 0.059 0.06
##    bad      5    4     0     1     4     4     3     3     6     5     3    5
##    good     3    8     1     9     1     9     5     6     4     9    14   11
##        chlorides
## quality 0.061 0.062 0.063 0.064 0.065 0.066 0.067 0.068 0.069 0.07 0.071 0.072
##    bad      3     6     5     4     5     9    12     9     9   21    21     8
##    good     8    18    17    16    18    23    15    21    12   14    26    16
##        chlorides
## quality 0.073 0.074 0.075 0.076 0.077 0.078 0.079 0.08 0.081 0.082 0.083 0.084
##    bad     14    23    20    29    24    23    19   39    24    23    17    24
##    good    21    32    25    22    23    28    24   27    16    23    18    25
##        chlorides
## quality 0.085 0.086 0.087 0.088 0.089 0.09 0.091 0.092 0.093 0.094 0.095 0.096
##    bad      8    19    14    17    16   12     6     9     9     9    10    11
##    good    17    12    11    15     9    9    13    13    12    10    13     7
##        chlorides
## quality 0.097 0.098 0.099 0.1 0.101 0.102 0.103 0.104 0.105 0.106 0.107 0.108
##    bad      9     9     8   7     3     7     3     9     5     6     5     1
##    good     9     3     0   6     2     3     4     7     1     2     4     0
##        chlorides
## quality 0.109 0.11 0.111 0.112 0.113 0.114 0.115 0.116 0.117 0.118 0.119 0.12
##    bad      1    3     5     6     1     6     4     1     2     3     0    1
##    good     2    5     2     0     0     5     1     1     2     5     3    2
##        chlorides
## quality 0.121 0.122 0.123 0.124 0.125 0.126 0.127 0.128 0.132 0.136 0.137 0.143
##    bad      0     5     2     2     0     1     1     0     1     1     1     0
##    good     2     2     4     1     1     0     0     1     3     0     0     1
##        chlorides
## quality 0.145 0.146 0.147 0.148 0.152 0.153 0.157 0.159 0.161 0.165 0.166 0.168
##    bad      1     1     1     0     2     0     1     1     1     1     3     1
##    good     0     0     0     1     0     1     2     0     0     0     0     0
##        chlorides
## quality 0.169 0.17 0.171 0.172 0.174 0.176 0.178 0.186 0.19 0.194 0.2 0.205
##    bad      1    1     0     1     0     1     1     1    0     0   1     2
##    good     0    0     2     0     1     0     1     0    1     1   0     0
##        chlorides
## quality 0.213 0.214 0.216 0.222 0.226 0.23 0.235 0.236 0.241 0.243 0.25 0.263
##    bad      0     0     0     0     0    0     1     1     0     0    0     1
##    good     1     3     1     1     2    1     0     0     1     1    1     0
##        chlorides
## quality 0.267 0.27 0.332 0.337 0.341 0.343 0.358 0.36 0.368 0.369 0.387 0.401
##    bad      1    1     0     0     0     1     0    1     1     1     1     1
##    good     0    0     1     1     1     0     1    0     0     0     0     0
##        chlorides
## quality 0.403 0.413 0.414 0.415 0.422 0.464 0.467 0.61 0.611
##    bad      1     0     1     2     1     1     1    1     1
##    good     0     1     1     1     0     0     0    0     0
xtabs(~ quality + `free sulfur dioxide`, data=df)
##        free sulfur dioxide
## quality  1  2  3  4  5 5.5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22
##    bad   0  0 20 23 54   0 44 33 24 32 40 25 40 21 19 39 30 24 18 16 17 23  8
##    good  3  1 29 18 50   1 94 38 32 30 39 34 35 36 31 39 31 36 28 23 13 18 14
##        free sulfur dioxide
## quality 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 37.5 38 39 40 40.5 41 42
##    bad  16 13 14 13 16 15  9  9 10 13  5 12 10  7  2    0  3  3  3    0  2  1
##    good 16 21 10 19 13  8 14  7 10  9  6  6  5  4  1    2  6  2  3    1  5  2
##        free sulfur dioxide
## quality 43 45 46 47 48 50 51 52 53 54 55 57 66 68 72
##    bad   2  1  1  1  3  1  3  2  0  0  0  1  1  2  0
##    good  1  2  0  0  1  1  1  1  1  1  2  0  0  0  1
xtabs(~ quality + `total sulfur dioxide`, data=df)
##        total sulfur dioxide
## quality  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
##    bad   2  2  5  5  4 12 16 16 14 13  9  7 13 12 17  6 14 19  5  8 13  9 13  7
##    good  1  2  9  9 23 14 13 12 19 22 17 20 22 17 16 19 11 15 31 19 11 21 30 13
##        total sulfur dioxide
## quality 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53
##    bad   4 15 12  6  7  7  5 13 13  6 10  3 12  4  6 10  4 10  9 10  3  5  8  6
##    good 10 17  8 11 13 19  7 13 18 10  7 11 14 14 17 10 13 14 12 11  8  6  7  8
##        total sulfur dioxide
## quality 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77
##    bad   9  6  4  3  7  4  9  5  3  7  4 10  7  8  7  2  3  6  8  4  1  4  1  4
##    good 11  7  6  3  7  5  9  4  6  6  6  7  2  4  3  6  5  1  2  3  7  1  2  4
##        total sulfur dioxide
## quality 77.5 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 98 99 100
##    bad     2  3  1  1  1  3  1  6  8  6  4  8  4  5  2  5  1  4  2  5  4  5   1
##    good    0  1  4  3  5  1  1  0  1  4  2  6  5  0  5  3  1  4  2  0  3  1   2
##        total sulfur dioxide
## quality 101 102 103 104 105 106 108 109 110 111 112 113 114 115 116 119 120 121
##    bad    3   5   0   5   3   4   3   1   6   3   3   4   1   2   1   7   2   4
##    good   1   1   2   0   2   2   0   3   0   0   0   0   1   0   0   0   0   0
##        total sulfur dioxide
## quality 122 124 125 126 127 128 129 130 131 133 134 135 136 139 140 141 142 143
##    bad    3   3   2   1   2   2   3   1   3   3   2   2   0   1   1   3   1   2
##    good   0   0   0   0   0   0   0   0   0   0   0   0   2   0   0   0   0   0
##        total sulfur dioxide
## quality 144 145 147 148 149 151 152 153 155 160 165 278 289
##    bad    3   3   3   1   0   2   1   1   1   0   0   0   0
##    good   0   0   0   1   1   0   0   0   0   1   1   1   1
xtabs(~ quality + density, data=df)
##        density
## quality 0.99007 0.9902 0.99064 0.9908 0.99084 0.9912 0.9915 0.99154 0.99157
##    bad        0      0       0      0       0      0      0       0       0
##    good       2      1       2      1       1      1      1       1       1
##        density
## quality 0.9916 0.99162 0.9917 0.99182 0.99191 0.9921 0.9922 0.99235 0.99236
##    bad       0       0      0       0       0      0      0       0       0
##    good      2       1      1       2       1      1      2       1       1
##        density
## quality 0.9924 0.99242 0.99252 0.99256 0.99258 0.99264 0.9927 0.9928 0.99286
##    bad       0       0       0       1       1       0      0      0       1
##    good      3       2       1       0       2       1      1      2       0
##        density
## quality 0.9929 0.99292 0.99294 0.99306 0.99314 0.99316 0.99318 0.9932 0.99322
##    bad       0       0       0       1       0       0       0      0       1
##    good      1       1       2       0       1       2       1      1       0
##        density
## quality 0.99323 0.99328 0.9933 0.99331 0.99332 0.99334 0.99336 0.9934 0.99341
##    bad        0       0      0       0       0       1       1      2       1
##    good       1       1      1       2       1       0       0      2       0
##        density
## quality 0.99344 0.99346 0.99348 0.9935 0.99352 0.99354 0.99356 0.99357 0.99358
##    bad        0       1       1      0       0       0       0       0       1
##    good       1       2       0      1       2       2       4       1       2
##        density
## quality 0.9936 0.99362 0.99364 0.9937 0.99371 0.99374 0.99376 0.99378 0.99379
##    bad       0       1       0      2       0       1       0       1       0
##    good      2       1       1      0       2       1       3       2       1
##        density
## quality 0.9938 0.99384 0.99385 0.99386 0.99387 0.99388 0.99392 0.99394 0.99395
##    bad       1       0       1       0       0       0       1       0       1
##    good      0       1       0       1       1       2       1       1       0
##        density
## quality 0.99396 0.99397 0.994 0.99402 0.99408 0.9941 0.99414 0.99416 0.99417
##    bad        1       0     1       2       0      1       0       0       0
##    good       2       1     1       2       3      0       2       1       1
##        density
## quality 0.99418 0.99419 0.9942 0.99425 0.99426 0.99428 0.9943 0.99434 0.99437
##    bad        0       0      3       1       0       0      1       0       1
##    good       2       2      0       0       1       1      1       1       0
##        density
## quality 0.99438 0.99439 0.9944 0.99444 0.99448 0.99451 0.99454 0.99456 0.99458
##    bad        0       0      1       0       3       0       0       0       0
##    good       5       1      2       4       1       1       1       1       4
##        density
## quality 0.99459 0.9946 0.99462 0.99464 0.99467 0.99468 0.9947 0.99471 0.99472
##    bad        0      1       1       2       0       0      0       1       1
##    good       1      4       1       0       2       1      6       2       2
##        density
## quality 0.99473 0.99474 0.99476 0.99478 0.99479 0.9948 0.99483 0.99484 0.99486
##    bad        0       0       2       1       0      1       0       0       0
##    good       1       1       1       1       1      8       1       3       1
##        density
## quality 0.99488 0.99489 0.9949 0.99491 0.99492 0.99494 0.99495 0.99496 0.99498
##    bad        1       0      1       0       0       2       0       1       1
##    good       3       3      3       1       2       2       2       0       4
##        density
## quality 0.99499 0.995 0.99501 0.99502 0.99504 0.99506 0.99508 0.99509 0.9951
##    bad        1     4       1       1       0       0       1       0      1
##    good       0     6       0       1       2       1       2       1      3
##        density
## quality 0.99512 0.99514 0.99516 0.99517 0.99518 0.99519 0.9952 0.99521 0.99522
##    bad        0       0       2       1       1       0      2       1       1
##    good       2       5       4       0       2       1      7       0       3
##        density
## quality 0.99523 0.99524 0.99525 0.99526 0.99528 0.99529 0.9953 0.99531 0.99532
##    bad        0       2       1       0       0       1      1       0       1
##    good       1       2       1       2       3       0      3       2       0
##        density
## quality 0.99533 0.99534 0.99536 0.99538 0.9954 0.99541 0.99542 0.99543 0.99544
##    bad        0       1       0       3      3       0       1       0       0
##    good       1       5       2       8      1       1       0       2       1
##        density
## quality 0.99545 0.99546 0.99547 0.99549 0.9955 0.99551 0.99552 0.99553 0.99554
##    bad        1       5       1       0      6       2       1       0       0
##    good       2       2       1       2      8       1       4       1       3
##        density
## quality 0.99555 0.99556 0.99557 0.99558 0.9956 0.99562 0.99564 0.99565 0.99566
##    bad        0       0       1       2      6       2       0       1       1
##    good       1       2       2       1      8       2       2       2       3
##        density
## quality 0.99568 0.99569 0.9957 0.99572 0.99573 0.99574 0.99575 0.99576 0.99577
##    bad        1       1      5       3       0       0       2       4       1
##    good       3       0      1       6       1       2       0       1       2
##        density
## quality 0.99578 0.9958 0.99581 0.99582 0.99584 0.99585 0.99586 0.99587 0.99588
##    bad        2      9       0       0       2       1       2       2       1
##    good       1      5       1       1       0       2       4       0       3
##        density
## quality 0.99589 0.9959 0.99592 0.99593 0.99594 0.99596 0.99598 0.99599 0.996
##    bad        0      6       3       1       0       2       0       0     7
##    good       1      7       1       1       1       0       2       2     6
##        density
## quality 0.99603 0.99604 0.99605 0.99606 0.99608 0.99609 0.9961 0.99612 0.99613
##    bad        2       1       1       2       1       0      8       4       2
##    good       0       2       2       0       1       1      2       2       2
##        density
## quality 0.99614 0.99615 0.99616 0.99617 0.99619 0.9962 0.99621 0.99622 0.99623
##    bad        1       0       3       0       0     16       1       3       2
##    good       1       5       4       1       1     12       0       2       0
##        density
## quality 0.99624 0.99625 0.99627 0.99628 0.99629 0.9963 0.99631 0.99632 0.99633
##    bad        2       2       1       2       2     10       1       4       2
##    good       1       1       2       1       0      5       0       0       2
##        density
## quality 0.99634 0.99635 0.99636 0.99638 0.99639 0.9964 0.99641 0.99642 0.99643
##    bad        3       0       4       1       1     14       1       1       0
##    good       0       1       1       4       1     11       0       2       1
##        density
## quality 0.99645 0.99646 0.99647 0.99648 0.99649 0.9965 0.99651 0.99652 0.99654
##    bad        1       0       2       2       0      6       0       1       2
##    good       0       1       0       1       1      5       1       5       0
##        density
## quality 0.99655 0.99656 0.99658 0.99659 0.9966 0.99661 0.99664 0.99665 0.99666
##    bad        4       2       0       0     18       0       2       1       2
##    good       2       3       1       2      5       1       1       0       1
##        density
## quality 0.99667 0.99668 0.99669 0.9967 0.99672 0.99674 0.99675 0.99676 0.99677
##    bad        0       3       2      6       2       0       1       0       0
##    good       1       1       0      7       3       2       4       3       2
##        density
## quality 0.99678 0.9968 0.99682 0.99683 0.99684 0.99685 0.99686 0.99688 0.99689
##    bad        0     23       1       1       0       3       0       0       4
##    good       1     12       1       1       1       5       3       2       0
##        density
## quality 0.9969 0.99692 0.99693 0.99694 0.99695 0.99697 0.99698 0.99699 0.997
##    bad      14       2       1       3       0       0       0       1    15
##    good      4       2       1       0       1       1       1       0     9
##        density
## quality 0.99701 0.99702 0.99704 0.99705 0.99706 0.99708 0.99709 0.9971 0.99712
##    bad        1       2       0       1       2       2       1      8       4
##    good       1       2       3       0       0       2       0      5       0
##        density
## quality 0.99713 0.99714 0.99716 0.99717 0.99718 0.99719 0.9972 0.99721 0.99722
##    bad        0       1       0       1       3       1     13       0       1
##    good       2       1       2       0       0       0     23       1       0
##        density
## quality 0.99724 0.99725 0.99726 0.99727 0.99728 0.99729 0.9973 0.99732 0.99733
##    bad        1       0       1       0       1       1      9       2       1
##    good       3       1       0       1       2       0      9       1       0
##        density
## quality 0.99734 0.99735 0.99736 0.99738 0.99739 0.9974 0.99743 0.99744 0.99745
##    bad        1       4       2       3       0     11       2       0       5
##    good       3       2       3       1       1     11       0       2       4
##        density
## quality 0.99746 0.99747 0.99748 0.9975 0.99752 0.99754 0.99756 0.99758 0.9976
##    bad        7       0       3      4       1       0       1       0     21
##    good       0       2       0      3       0       1       0       1     14
##        density
## quality 0.99761 0.99764 0.99765 0.99768 0.99769 0.9977 0.99772 0.99774 0.99779
##    bad        0       0       1       1       1      1       1       0       1
##    good       1       1       0       2       1      3       0       5       0
##        density
## quality 0.9978 0.99782 0.99783 0.99784 0.99785 0.99786 0.99787 0.99788 0.9979
##    bad      21       2       2       1       1       3       1       2      9
##    good      5       0       0       0       0       1       2       0      5
##        density
## quality 0.99791 0.99796 0.99798 0.998 0.99801 0.99803 0.99808 0.9981 0.99814
##    bad        1       1       1    16       2       3       1      5       1
##    good       0       0       1    13       0       0       0      5       1
##        density
## quality 0.99815 0.99817 0.99818 0.9982 0.99822 0.99823 0.99824 0.99828 0.9983
##    bad        0       2       3     12       0       1       1       2      5
##    good       2       0       0     11       1       0       2       0      4
##        density
## quality 0.99832 0.99834 0.99836 0.9984 0.99842 0.99845 0.9985 0.99852 0.99854
##    bad        1       0       1      7       0       1      1       1       1
##    good       0       1       1     13       2       0      2       0       0
##        density
## quality 0.99855 0.99859 0.9986 0.99864 0.99865 0.9987 0.99878 0.9988 0.99888
##    bad        2       0     10       0       0      4       1      9       0
##    good       0       1      9       1       2      8       0     11       2
##        density
## quality 0.9989 0.99892 0.999 0.99901 0.9991 0.99914 0.99915 0.99918 0.9992
##    bad       0       3     2       0      4       3       1       1      4
##    good      2       0     6       1      6       0       0       0      3
##        density
## quality 0.99922 0.99925 0.9993 0.99935 0.99938 0.99939 0.9994 0.9995 0.9996
##    bad        1       0      1       1       1       0      9      0      5
##    good       0       1      3       0       0       1     15      1      7
##        density
## quality 0.99965 0.9997 0.99974 0.99975 0.99976 0.9998 0.9999  1 1.00005 1.0001
##    bad        0      5       0       1       1      6      1  3       0      4
##    good       1      3       1       0       0      4      0  7       2      0
##        density
## quality 1.00012 1.00015 1.0002 1.00024 1.00025 1.0003 1.0004 1.0006 1.0008
##    bad        0       2      2       1       1      0      7      3      1
##    good       1       0      8       0       0      2      2      3      2
##        density
## quality 1.001 1.0014 1.0015 1.0018 1.0021 1.0022 1.00242 1.0026 1.00289 1.00315
##    bad      4      1      0      1      0      0       2      1       1       3
##    good     2      5      2      0      2      2       0      1       0       0
##        density
## quality 1.0032 1.00369
##    bad       0       0
##    good      1       2
xtabs(~ quality + pH, data=df)
##        pH
## quality 2.74 2.86 2.87 2.88 2.89 2.9 2.92 2.93 2.94 2.95 2.98 2.99  3 3.01 3.02
##    bad     1    0    0    1    2   0    3    1    2    0    2    2  4    1    3
##    good    0    1    1    1    2   1    1    2    2    1    3    0  2    4    5
##        pH
## quality 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.1 3.11 3.12 3.13 3.14 3.15 3.16
##    bad     4    5    5    3    1    7    5  10    3    6   10   12   17   21
##    good    2    5    3    7   10    4    6   9    6   14    3    9   17   15
##        pH
## quality 3.17 3.18 3.19 3.2 3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.3
##    bad    12   11   15  20   11   13   13   14   17   26   12   25   24  26
##    good   15   19   10  19   25   26   19   15    9   27   23   17   22  31
##        pH
## quality 3.31 3.32 3.33 3.34 3.35 3.36 3.37 3.38 3.39 3.4 3.41 3.42 3.43 3.44
##    bad    16   14   13   23   16   32   15   19   26  15   15   10    7   15
##    good   23   31   24   20   23   24   22   29   22  22   19   23   10   14
##        pH
## quality 3.45 3.46 3.47 3.48 3.49 3.5 3.51 3.52 3.53 3.54 3.55 3.56 3.57 3.58
##    bad     9   15    4   13    7   8    9    7   10    8    4    4    5    4
##    good   11    7   17    6    3   6    6   11    7    8    4    7    5    6
##        pH
## quality 3.59 3.6 3.61 3.62 3.63 3.66 3.67 3.68 3.69 3.7 3.71 3.72 3.74 3.75
##    bad     5   3    3    3    3    3    2    2    2   0    0    2    1    1
##    good    3   4    5    1    0    1    1    3    2   1    4    1    0    0
##        pH
## quality 3.78 3.85 3.9 4.01
##    bad     0    0   1    0
##    good    2    1   1    2
xtabs(~ quality + sulphates, data=df)
##        sulphates
## quality 0.33 0.37 0.39 0.4 0.42 0.43 0.44 0.45 0.46 0.47 0.48 0.49 0.5 0.51
##    bad     1    2    4   2    4    6   13   12   14   15   21   23  21   18
##    good    0    0    2   2    1    2    3    0    4    4    8    8   6    8
##        sulphates
## quality 0.52 0.53 0.54 0.55 0.56 0.57 0.58 0.59 0.6 0.61 0.62 0.63 0.64 0.65
##    bad    36   34   41   30   30   36   38   21  24   27   31   21   22   12
##    good   11   17   27   20   30   19   30   30  45   18   30   27   24   29
##        sulphates
## quality 0.66 0.67 0.68 0.69 0.7 0.71 0.72 0.73 0.74 0.75 0.76 0.77 0.78 0.79
##    bad    15   16   13    5   8   11    8    8    8    4    1    5    9    5
##    good   27   20   22   18  25   15   20   18   18   16   24   21   14   13
##        sulphates
## quality 0.8 0.81 0.82 0.83 0.84 0.85 0.86 0.87 0.88 0.89 0.9 0.91 0.92 0.93
##    bad    7    1    3    3    2    0    3    2    2    0   1    3    0    4
##    good  12   14   19   12   11   14   10   11    5    7   7    5    5    6
##        sulphates
## quality 0.94 0.95 0.96 0.97 0.98 0.99  1 1.01 1.02 1.03 1.04 1.05 1.06 1.07
##    bad     1    1    0    2    1    1  0    0    1    1    0    2    1    2
##    good    3    1    3    4    1    2  1    1    2    1    2    1    3    0
##        sulphates
## quality 1.08 1.09 1.1 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.2 1.22 1.26
##    bad     1    1   1    0    1    0    2    1    0    5    1   1    1    1
##    good    2    0   1    1    0    2    0    0    1    0    2   0    0    0
##        sulphates
## quality 1.28 1.31 1.33 1.34 1.36 1.56 1.59 1.61 1.62 1.95 1.98  2
##    bad     2    1    0    1    0    1    1    0    1    0    1  1
##    good    0    0    1    0    3    0    0    1    0    2    0  0
# Assuming 'quality' is a column in the data frame 'df'
distinct_values <- unique(df$quality)

# Print distinct values
print(distinct_values)
## [1] "bad"  "good"
# Count the number of unique values
num_unique <- length(distinct_values)

# Print the number of unique values
print(num_unique)
## [1] 2
table(df$quality)
## 
##  bad good 
##  744  855
# Recode the quality variable to binary (0 for "bad" and 1 for "good")
#df$quality <- as.numeric(df$quality == "good")
df
## # A tibble: 1,599 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>
  1. Model Insights (10 points): (Regression)

Alcohol:

Estimate: 1.00468

This indicates that for every one-unit increase in alcohol, the log-odds of the wine being of good quality (as opposed to bad quality) increase by 1.00468.

Std. Error: 0.06884 This shows the standard error associated with the coefficient estimate.

z value: 14.594

The z value is the coefficient estimate divided by its standard error. It indicates the number of standard deviations a parameter estimate is from the null hypothesis value of 0. The higher the z value, the more significant the predictor.

p-value: <0.0000000000000002 ***

The p-value indicates the significance of each predictor. In this case, the p-value is extremely low, indicating a significant relationship between alcohol and the quality of the wine.

Volatile Acidity:

Estimate: -3.54124

This indicates that for every one-unit increase in volatile acidity, the log-odds of the wine being of good quality (as opposed to bad quality) decrease by 3.54124.

Std. Error: 0.35470 This shows the standard error associated with the coefficient estimate.

z value: -9.984

The z value is the coefficient estimate divided by its standard error. It indicates the number of standard deviations a parameter estimate is from the null hypothesis value of 0. The more negative the z value, the more significant the negative relationship.

p-value: <0.0000000000000002 ***

The p-value indicates the significance of each predictor. In this case, the p-value is extremely low, indicating a significant relationship between volatile acidity and the quality of the wine.

attach(df)
## The following objects are masked from df (pos = 3):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 4):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 5):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 17):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
## The following objects are masked from df (pos = 20):
## 
##     alcohol, chlorides, citric acid, density, fixed acidity, free
##     sulfur dioxide, pH, quality, residual sugar, sulphates, total
##     sulfur dioxide, volatile acidity
#df <- df[, !names(df) %in% "quality_new"]
# Fit logistic regression model with the binary indicator
# Fit logistic regression model with binary indicator

# Convert 'quality' variable to a factor
df$quality <- factor(df$quality, levels = c("bad", "good"))


logistic_simple <- glm(quality ~ alcohol + `volatile acidity`  , data = df, family = "binomial")

# Summary of the model
summary(logistic_simple)
## 
## Call:
## glm(formula = quality ~ alcohol + `volatile acidity`, family = "binomial", 
##     data = df)
## 
## Coefficients:
##                    Estimate Std. Error z value            Pr(>|z|)    
## (Intercept)        -8.34395    0.72630 -11.488 <0.0000000000000002 ***
## alcohol             1.00468    0.06884  14.594 <0.0000000000000002 ***
## `volatile acidity` -3.54124    0.35470  -9.984 <0.0000000000000002 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 2209.0  on 1598  degrees of freedom
## Residual deviance: 1752.5  on 1596  degrees of freedom
## AIC: 1758.5
## 
## Number of Fisher Scoring iterations: 4
df
## # A tibble: 1,599 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <fct>
predicted.data <- data.frame(probability.of.quality=logistic_simple$fitted.values,quality=df$quality)


options(scipen = 999)
predicted.data
##      probability.of.quality quality
## 1                0.20120458     bad
## 2                0.16598807     bad
## 3                0.23336924     bad
## 4                0.62490271    good
## 5                0.20120458     bad
## 6                0.22493539     bad
## 7                0.26412089     bad
## 8                0.35459301    good
## 9                0.29872728    good
## 10               0.60697565     bad
## 11               0.23961872     bad
## 12               0.60697565     bad
## 13               0.35998355     bad
## 14               0.20400044     bad
## 15               0.21476806     bad
## 16               0.21476806     bad
## 17               0.77095108    good
## 18               0.27220225     bad
## 19               0.19922899     bad
## 20               0.44175332    good
## 21               0.57957067    good
## 22               0.50510134     bad
## 23               0.42014450     bad
## 24               0.34634985     bad
## 25               0.49624849    good
## 26               0.40577300     bad
## 27               0.43748990     bad
## 28               0.42014450     bad
## 29               0.19557323     bad
## 30               0.31385862    good
## 31               0.35732969     bad
## 32               0.47002514    good
## 33               0.30628325     bad
## 34               0.26069390    good
## 35               0.44175332     bad
## 36               0.27228150    good
## 37               0.59433094    good
## 38               0.51395098    good
## 39               0.07588334     bad
## 40               0.64832370     bad
## 41               0.64832370     bad
## 42               0.23856923     bad
## 43               0.61539074    good
## 44               0.41753089     bad
## 45               0.23647973     bad
## 46               0.95147668     bad
## 47               0.08226898     bad
## 48               0.54328959     bad
## 49               0.37347250     bad
## 50               0.45050340     bad
## 51               0.19184440     bad
## 52               0.32270683    good
## 53               0.33837700    good
## 54               0.43891004     bad
## 55               0.52443042    good
## 56               0.26992260     bad
## 57               0.45355938     bad
## 58               0.24399577     bad
## 59               0.40457550     bad
## 60               0.43020884    good
## 61               0.37347250     bad
## 62               0.19095161     bad
## 63               0.34504502    good
## 64               0.24958021     bad
## 65               0.50992678     bad
## 66               0.50992678     bad
## 67               0.36808914     bad
## 68               0.47741545     bad
## 69               0.78125187     bad
## 70               0.42767670    good
## 71               0.26300120    good
## 72               0.23647973     bad
## 73               0.22393127     bad
## 74               0.18374340     bad
## 75               0.54185787     bad
## 76               0.67990352     bad
## 77               0.67990352     bad
## 78               0.40764759    good
## 79               0.29889491     bad
## 80               0.19551030     bad
## 81               0.33305273     bad
## 82               0.39588313     bad
## 83               0.27449391     bad
## 84               0.21882181     bad
## 85               0.71948889    good
## 86               0.46398291     bad
## 87               0.46685347    good
## 88               0.39312718     bad
## 89               0.45498950     bad
## 90               0.18282001     bad
## 91               0.34504502     bad
## 92               0.46685347    good
## 93               0.44195062     bad
## 94               0.39312718     bad
## 95               0.19673512     bad
## 96               0.92356037    good
## 97               0.41622581     bad
## 98               0.29494810     bad
## 99               0.15641386     bad
## 100              0.22587275    good
## 101              0.43626752    good
## 102              0.58276848    good
## 103              0.22587275    good
## 104              0.24285967     bad
## 105              0.34634985     bad
## 106              0.24285967     bad
## 107              0.38881590     bad
## 108              0.22594270     bad
## 109              0.53305469    good
## 110              0.14427150     bad
## 111              0.31377249     bad
## 112              0.33323047     bad
## 113              0.34914823     bad
## 114              0.57534799    good
## 115              0.31377249     bad
## 116              0.68756090    good
## 117              0.44784680    good
## 118              0.29255453    good
## 119              0.65913207    good
## 120              0.17591002    good
## 121              0.04348360     bad
## 122              0.65913207    good
## 123              0.17335794     bad
## 124              0.21186391     bad
## 125              0.36122140     bad
## 126              0.25058707     bad
## 127              0.10883116     bad
## 128              0.10883116     bad
## 129              0.52894405    good
## 130              0.43891004     bad
## 131              0.17680607     bad
## 132              0.95008960     bad
## 133              0.95008960     bad
## 134              0.43323569    good
## 135              0.11101043    good
## 136              0.20797064     bad
## 137              0.20892246     bad
## 138              0.36112911     bad
## 139              0.31377249     bad
## 140              0.31377249     bad
## 141              0.20797064     bad
## 142              0.20892246     bad
## 143              0.98920276    good
## 144              0.43020884     bad
## 145              0.98920276    good
## 146              0.21882181     bad
## 147              0.33067194     bad
## 148              0.32396897     bad
## 149              0.54205647    good
## 150              0.68756090    good
## 151              0.69755684    good
## 152              0.32270683     bad
## 153              0.42033942     bad
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## 155              0.66429727     bad
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## 159              0.19648238     bad
## 160              0.24506145    good
## 161              0.11272986     bad
## 162              0.18110265     bad
## 163              0.45661885    good
## 164              0.26412089     bad
## 165              0.27106092     bad
## 166              0.26300120     bad
## 167              0.41033969     bad
## 168              0.22279178     bad
## 169              0.46848879    good
## 170              0.21483553     bad
## 171              0.08823997     bad
## 172              0.35705415    good
## 173              0.35705415    good
## 174              0.73387110    good
## 175              0.46378394     bad
## 176              0.36122140     bad
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## 178              0.58995815    good
## 179              0.17513310     bad
## 180              0.27695770     bad
## 181              0.27695770     bad
## 182              0.23856923     bad
## 183              0.17001962     bad
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## 185              0.23219610    good
## 186              0.57534799     bad
## 187              0.38179509     bad
## 188              0.25066220     bad
## 189              0.36122140     bad
## 190              0.36943196     bad
## 191              0.33837700     bad
## 192              0.54777857    good
## 193              0.26300120     bad
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## 198              0.67721252    good
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## 200              0.32071295     bad
## 201              0.70497516    good
## 202              0.42295785     bad
## 203              0.36122140     bad
## 204              0.35705415     bad
## 205              0.34896645    good
## 206              0.80911498    good
## 207              0.80911498    good
## 208              0.26524363     bad
## 209              0.38744591     bad
## 210              0.75820519    good
## 211              0.90354763    good
## 212              0.29639935    good
## 213              0.58557110    good
## 214              0.44642074     bad
## 215              0.24958021    good
## 216              0.61539074     bad
## 217              0.62111992     bad
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## 220              0.33708672     bad
## 221              0.47403905    good
## 222              0.31501594     bad
## 223              0.27695770     bad
## 224              0.35865554    good
## 225              0.46408240     bad
## 226              0.66429727    good
## 227              0.29136203    good
## 228              0.19752151     bad
## 229              0.66429727    good
## 230              0.70394070     bad
## 231              0.90144680    good
## 232              0.56383849    good
## 233              0.49769062    good
## 234              0.70394070     bad
## 235              0.05504286    good
## 236              0.17758881    good
## 237              0.17758881    good
## 238              0.20021496    good
## 239              0.17758881    good
## 240              0.05504286    good
## 241              0.22286105     bad
## 242              0.77927375    good
## 243              0.36540965    good
## 244              0.53879357    good
## 245              0.53879357    good
## 246              0.32414421    good
## 247              0.23014555     bad
## 248              0.24506145     bad
## 249              0.40735784    good
## 250              0.32414421    good
## 251              0.63869345    good
## 252              0.37231061    good
## 253              0.72428210     bad
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## 1053             0.92230096     bad
## 1054             0.96256272    good
## 1055             0.18729038    good
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## 1057             0.89215416    good
## 1058             0.33433536     bad
## 1059             0.80745110    good
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## 1061             0.68738901    good
## 1062             0.94257354    good
## 1063             0.85368259    good
## 1064             0.92303853    good
## 1065             0.70905716    good
## 1066             0.43626752    good
## 1067             0.91475761    good
## 1068             0.81896126    good
## 1069             0.81896126    good
## 1070             0.57714735     bad
## 1071             0.83745843    good
## 1072             0.13852370     bad
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## 1075             0.13852370     bad
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## 1078             0.80175826     bad
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## 1080             0.95032469    good
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## 1083             0.46378394    good
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## 1089             0.53755864    good
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## 1095             0.48481565    good
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## 1109             0.17341528     bad
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## 1112             0.92596834    good
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## 1115             0.98022301    good
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## 1119             0.97435103    good
## 1120             0.90714479     bad
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## 1123             0.91287741    good
## 1124             0.81638121    good
## 1125             0.76060551     bad
## 1126             0.89651478    good
## 1127             0.98511389    good
## 1128             0.62681552    good
## 1129             0.54491900     bad
## 1130             0.66429727    good
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## 1136             0.93857143    good
## 1137             0.78040155    good
## 1138             0.78040155    good
## 1139             0.34226224     bad
## 1140             0.35309114    good
## 1141             0.44622303    good
## 1142             0.79606955    good
## 1143             0.81993313    good
## 1144             0.71582014    good
## 1145             0.66154038     bad
## 1146             0.80163107    good
## 1147             0.43323569    good
## 1148             0.88689576    good
## 1149             0.87317254    good
## 1150             0.92221492    good
## 1151             0.96601961    good
## 1152             0.89666313    good
## 1153             0.34914823     bad
## 1154             0.78930255    good
## 1155             0.74183610    good
## 1156             0.34914823     bad
## 1157             0.94654115    good
## 1158             0.94323772    good
## 1159             0.70136301    good
## 1160             0.74168285     bad
## 1161             0.82247413    good
## 1162             0.57695209    good
## 1163             0.91514425    good
## 1164             0.25407843     bad
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## 1166             0.38744591     bad
## 1167             0.49789062     bad
## 1168             0.95005165    good
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## 1170             0.80834639    good
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## 1172             0.60283961    good
## 1173             0.92596834    good
## 1174             0.48143513    good
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## 1176             0.74072976    good
## 1177             0.44824250     bad
## 1178             0.88877845    good
## 1179             0.46735133     bad
## 1180             0.81277522    good
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## 1191             0.94257354    good
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## 1196             0.42014450    good
## 1197             0.29872728    good
## 1198             0.37365972    good
## 1199             0.84374851    good
## 1200             0.29872728    good
## 1201             0.37365972    good
## 1202             0.84612075    good
## 1203             0.87253232    good
## 1204             0.17939789     bad
## 1205             0.80732668    good
## 1206             0.80732668    good
## 1207             0.80732668    good
## 1208             0.30010518     bad
## 1209             0.80732668    good
## 1210             0.82163027    good
## 1211             0.45089954    good
## 1212             0.36388780     bad
## 1213             0.45089954    good
## 1214             0.70256988    good
## 1215             0.71832315    good
## 1216             0.88623516    good
## 1217             0.30619826    good
## 1218             0.92471753    good
## 1219             0.70872696    good
## 1220             0.77312241    good
## 1221             0.88862018    good
## 1222             0.88862018    good
## 1223             0.35989139    good
## 1224             0.91963634    good
## 1225             0.65094972    good
## 1226             0.37077681     bad
## 1227             0.23961872     bad
## 1228             0.32019030     bad
## 1229             0.97880229    good
## 1230             0.42014450     bad
## 1231             0.94654115    good
## 1232             0.40625535     bad
## 1233             0.42014450     bad
## 1234             0.54615087     bad
## 1235             0.86530638    good
## 1236             0.88506674     bad
## 1237             0.29993717    good
## 1238             0.86530638    good
## 1239             0.21685601     bad
## 1240             0.75744013     bad
## 1241             0.23856923     bad
## 1242             0.54777857     bad
## 1243             0.92391040    good
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## 1245             0.72658012    good
## 1246             0.56403522     bad
## 1247             0.28544272     bad
## 1248             0.56403522     bad
## 1249             0.79513144    good
## 1250             0.61830665    good
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## 1252             0.36540965     bad
## 1253             0.25966050     bad
## 1254             0.24293324     bad
## 1255             0.53201694     bad
## 1256             0.60854157     bad
## 1257             0.23322614     bad
## 1258             0.65783479    good
## 1259             0.67756219    good
## 1260             0.67756219    good
## 1261             0.22286105     bad
## 1262             0.33102618     bad
## 1263             0.47711605     bad
## 1264             0.18829228     bad
## 1265             0.90034530    good
## 1266             0.49644849    good
## 1267             0.49644849    good
## 1268             0.83015403    good
## 1269             0.43748990    good
## 1270             0.98177241    good
## 1271             0.98758012    good
## 1272             0.86444522    good
## 1273             0.78237238     bad
## 1274             0.25839974     bad
## 1275             0.70153056    good
## 1276             0.20892246    good
## 1277             0.90852584     bad
## 1278             0.26077100    good
## 1279             0.20892246    good
## 1280             0.89543947    good
## 1281             0.61675519    good
## 1282             0.61675519    good
## 1283             0.47453775    good
## 1284             0.41893450    good
## 1285             0.75394970     bad
## 1286             0.70991638     bad
## 1287             0.97201050    good
## 1288             0.93035811     bad
## 1289             0.44499556     bad
## 1290             0.44499556     bad
## 1291             0.52175180     bad
## 1292             0.58865880    good
## 1293             0.93792616    good
## 1294             0.21889019     bad
## 1295             0.58865880    good
## 1296             0.26300120     bad
## 1297             0.26300120     bad
## 1298             0.87389819    good
## 1299             0.85673789    good
## 1300             0.04796887     bad
## 1301             0.87330537    good
## 1302             0.59034516    good
## 1303             0.83177460    good
## 1304             0.87179995     bad
## 1305             0.13028618     bad
## 1306             0.34114458     bad
## 1307             0.34522585     bad
## 1308             0.59868881     bad
## 1309             0.34522585     bad
## 1310             0.21476806     bad
## 1311             0.34114458     bad
## 1312             0.93761285    good
## 1313             0.12202157     bad
## 1314             0.62913710    good
## 1315             0.62913710    good
## 1316             0.32540927    good
## 1317             0.83119049    good
## 1318             0.88631580    good
## 1319             0.32540927    good
## 1320             0.13094124    good
## 1321             0.36961835     bad
## 1322             0.83119049    good
## 1323             0.87050493     bad
## 1324             0.80732668    good
## 1325             0.66300959    good
## 1326             0.66300959    good
## 1327             0.66300959    good
## 1328             0.66300959    good
## 1329             0.30114985     bad
## 1330             0.34914823    good
## 1331             0.34914823    good
## 1332             0.10140320     bad
## 1333             0.50510134    good
## 1334             0.19101341     bad
## 1335             0.22200169     bad
## 1336             0.90560836    good
## 1337             0.36122140     bad
## 1338             0.36122140     bad
## 1339             0.36122140     bad
## 1340             0.59849658    good
## 1341             0.59849658    good
## 1342             0.59849658    good
## 1343             0.54797675    good
## 1344             0.59849658    good
## 1345             0.77210896     bad
## 1346             0.58557110    good
## 1347             0.73499623     bad
## 1348             0.24620450     bad
## 1349             0.24620450     bad
## 1350             0.61966715     bad
## 1351             0.39607449     bad
## 1352             0.78847505    good
## 1353             0.43050304     bad
## 1354             0.43050304     bad
## 1355             0.41313417     bad
## 1356             0.66154038     bad
## 1357             0.64550564     bad
## 1358             0.78335299    good
## 1359             0.25619500     bad
## 1360             0.51357055    good
## 1361             0.66704301     bad
## 1362             0.23028733     bad
## 1363             0.51357055    good
## 1364             0.19196847     bad
## 1365             0.79719855    good
## 1366             0.36122140     bad
## 1367             0.24627875     bad
## 1368             0.57272250    good
## 1369             0.22709360    good
## 1370             0.48615670     bad
## 1371             0.13435162     bad
## 1372             0.77841792    good
## 1373             0.13435162     bad
## 1374             0.16025756     bad
## 1375             0.20034310     bad
## 1376             0.40596592     bad
## 1377             0.19292716     bad
## 1378             0.89825572    good
## 1379             0.50221714    good
## 1380             0.61966715    good
## 1381             0.61966715    good
## 1382             0.16270922     bad
## 1383             0.37231061     bad
## 1384             0.37231061     bad
## 1385             0.18647457     bad
## 1386             0.12246887     bad
## 1387             0.27580399     bad
## 1388             0.27580399     bad
## 1389             0.43484930     bad
## 1390             0.42597182     bad
## 1391             0.92268482    good
## 1392             0.60854157     bad
## 1393             0.33323047     bad
## 1394             0.51559174     bad
## 1395             0.24613027     bad
## 1396             0.23595934    good
## 1397             0.24240315     bad
## 1398             0.38062303     bad
## 1399             0.44499556    good
## 1400             0.60716649    good
## 1401             0.30131825     bad
## 1402             0.30131825     bad
## 1403             0.92753468    good
## 1404             0.63048207    good
## 1405             0.65374772    good
## 1406             0.88261567    good
## 1407             0.85286019    good
## 1408             0.64568869    good
## 1409             0.95636068    good
## 1410             0.64568869    good
## 1411             0.55285319    good
## 1412             0.65505238    good
## 1413             0.85286019    good
## 1414             0.44642074     bad
## 1415             0.54185787     bad
## 1416             0.27811439     bad
## 1417             0.54185787     bad
## 1418             0.93142000    good
## 1419             0.40735784     bad
## 1420             0.33984916     bad
## 1421             0.40735784     bad
## 1422             0.42155054     bad
## 1423             0.76802331    good
## 1424             0.69650757     bad
## 1425             0.59394510    good
## 1426             0.59394510    good
## 1427             0.95249480    good
## 1428             0.81101321     bad
## 1429             0.60854157     bad
## 1430             0.91463276     bad
## 1431             0.65765468     bad
## 1432             0.51991280    good
## 1433             0.86444522    good
## 1434             0.59552833    good
## 1435             0.22898377    good
## 1436             0.22898377    good
## 1437             0.24052519     bad
## 1438             0.39360446     bad
## 1439             0.47875504     bad
## 1440             0.59915072    good
## 1441             0.84536815    good
## 1442             0.18059219    good
## 1443             0.32540927     bad
## 1444             0.79526173     bad
## 1445             0.60716649    good
## 1446             0.18560102    good
## 1447             0.32540927     bad
## 1448             0.27465326     bad
## 1449             0.34244237     bad
## 1450             0.84068220    good
## 1451             0.84536815    good
## 1452             0.82840737    good
## 1453             0.77841792    good
## 1454             0.26172995     bad
## 1455             0.73371481    good
## 1456             0.35893163    good
## 1457             0.58496807    good
## 1458             0.26172995     bad
## 1459             0.76463785     bad
## 1460             0.94802144    good
## 1461             0.64963785    good
## 1462             0.25407843     bad
## 1463             0.45968161    good
## 1464             0.56848225    good
## 1465             0.33451344     bad
## 1466             0.33451344     bad
## 1467             0.50077497    good
## 1468             0.27382357     bad
## 1469             0.50077497    good
## 1470             0.11215415     bad
## 1471             0.26077100     bad
## 1472             0.86249938     bad
## 1473             0.82758580    good
## 1474             0.64171956     bad
## 1475             0.21868508     bad
## 1476             0.97396377    good
## 1477             0.21868508     bad
## 1478             0.97479966    good
## 1479             0.23241012     bad
## 1480             0.78820806     bad
## 1481             0.40318662     bad
## 1482             0.78820806     bad
## 1483             0.48759788     bad
## 1484             0.77513975     bad
## 1485             0.35082460     bad
## 1486             0.28536113     bad
## 1487             0.40041353     bad
## 1488             0.50982681     bad
## 1489             0.76802331     bad
## 1490             0.61966715    good
## 1491             0.96561229    good
## 1492             0.76802331     bad
## 1493             0.79579598     bad
## 1494             0.37501080     bad
## 1495             0.64682457    good
## 1496             0.68632032    good
## 1497             0.37501080     bad
## 1498             0.64322841    good
## 1499             0.34011845    good
## 1500             0.64322841    good
## 1501             0.21987811     bad
## 1502             0.14139748     bad
## 1503             0.36131371     bad
## 1504             0.75940740    good
## 1505             0.85368259    good
## 1506             0.26140463     bad
## 1507             0.41053329    good
## 1508             0.85368259    good
## 1509             0.79405933    good
## 1510             0.89758029     bad
## 1511             0.53161854    good
## 1512             0.28059811     bad
## 1513             0.33340825    good
## 1514             0.55530846    good
## 1515             0.11486291    good
## 1516             0.11657635    good
## 1517             0.76359809     bad
## 1518             0.53181775    good
## 1519             0.63201111     bad
## 1520             0.36007572     bad
## 1521             0.53181775    good
## 1522             0.27861343     bad
## 1523             0.76359809     bad
## 1524             0.59988200     bad
## 1525             0.55368578    good
## 1526             0.42597182     bad
## 1527             0.41014613    good
## 1528             0.65244075    good
## 1529             0.68490444    good
## 1530             0.36827525    good
## 1531             0.81012745    good
## 1532             0.35600603     bad
## 1533             0.43181977    good
## 1534             0.33562044     bad
## 1535             0.80655262    good
## 1536             0.36674837    good
## 1537             0.53181775    good
## 1538             0.46254851    good
## 1539             0.80936198     bad
## 1540             0.55511089     bad
## 1541             0.81289694    good
## 1542             0.84836054    good
## 1543             0.36092512    good
## 1544             0.63335174    good
## 1545             0.83177460    good
## 1546             0.39469544    good
## 1547             0.47136271     bad
## 1548             0.84395934     bad
## 1549             0.66558251     bad
## 1550             0.86230951    good
## 1551             0.23014555     bad
## 1552             0.21882181     bad
## 1553             0.64587169    good
## 1554             0.18201931     bad
## 1555             0.42063185    good
## 1556             0.56767638    good
## 1557             0.18036694     bad
## 1558             0.42063185    good
## 1559             0.26300120     bad
## 1560             0.37231061     bad
## 1561             0.37231061     bad
## 1562             0.37231061     bad
## 1563             0.34123450     bad
## 1564             0.34123450     bad
## 1565             0.34123450     bad
## 1566             0.55835298    good
## 1567             0.91228956    good
## 1568             0.34123450     bad
## 1569             0.25275995     bad
## 1570             0.80280024    good
## 1571             0.94476241    good
## 1572             0.81189580    good
## 1573             0.22393127     bad
## 1574             0.89666313    good
## 1575             0.75165382    good
## 1576             0.84156002    good
## 1577             0.80911498    good
## 1578             0.75637870    good
## 1579             0.65392880    good
## 1580             0.73611832     bad
## 1581             0.91469520    good
## 1582             0.73611832     bad
## 1583             0.74645777     bad
## 1584             0.46828958     bad
## 1585             0.89818258    good
## 1586             0.86162314    good
## 1587             0.88201668    good
## 1588             0.60991492    good
## 1589             0.89832882    good
## 1590             0.15865759     bad
## 1591             0.79619940    good
## 1592             0.66593857    good
## 1593             0.71126725    good
## 1594             0.26992260    good
## 1595             0.52011249     bad
## 1596             0.72328876    good
## 1597             0.71126725    good
## 1598             0.40606239     bad
## 1599             0.83338281    good
  1. Model Insights (10 points): (Regression)

Model Acceptance

Inference:

Volatile Acidity: As the volatile acidity level increases, the probability of wine quality being bad increases and the probability of wine quality being good decreases.

Interpretation:

At a volatile acidity level of 0.12:

Probability of Quality Being Bad: 0.0395216662402474

Probability of Quality Being Good: 0

Interpretation: At a volatile acidity level of 0.12, the probability of wine quality being bad is approximately 0.0395, and the probability of wine quality being good is 0.

At a volatile acidity level of 0.16:

Probability of Quality Being Bad: 0.0395216662402474

Probability of Quality Being Good: 0

Interpretation: At a volatile acidity level of 0.16, the probability of wine quality being bad is approximately 0.0395, and the probability of wine quality being good is 0.

At a volatile acidity level of 0.18:

Probability of Quality Being Bad: 0.0395216662402474

Probability of Quality Being Good: 0 Interpretation: At a volatile acidity level of 0.18, the probability of wine quality being bad is approximately 0.0395, and the probability of wine quality being good is 0.

At a volatile acidity level of 0.19:

Probability of Quality Being Bad: 0.0395216662402474

Probability of Quality Being Good: 0

Interpretation: At a volatile acidity level of 0.19, the probability of wine quality being bad is approximately 0.0395, and the probability of wine quality being good is 0.

This pattern continues for each level of volatile acidity, with the probability of wine quality being bad increasing and the probability of wine quality being good decreasing

xtabs(~ probability.of.quality + `volatile acidity` + `citric acid`, data=predicted.data)
## , , citric acid = 0
## 
##                       volatile acidity
## probability.of.quality 0.12 0.16 0.18 0.19 0.2 0.21 0.22 0.23 0.24 0.25 0.26
##     0.0395216662402474    0    0    0    0   0    0    0    0    0    0    0
##     0.0434836018064436    0    0    0    0   0    0    0    0    0    0    0
##     0.0479688679143368    0    0    0    0   0    0    0    0    0    0    0
##     0.055042859405055     0    0    0    0   0    0    0    0    0    0    0
##     0.0758833434280786    0    0    0    0   0    0    0    0    0    0    0
##     0.0822689800017222    0    0    0    0   0    0    0    0    0    0    0
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##                       volatile acidity
## probability.of.quality 0.27 0.28 0.29 0.295 0.3 0.305 0.31 0.315 0.32 0.33 0.34
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##                       volatile acidity
## probability.of.quality 0.35 0.36 0.365 0.37 0.38 0.39 0.395 0.4 0.41 0.415 0.42
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##                       volatile acidity
## probability.of.quality 0.43 0.44 0.45 0.46 0.47 0.475 0.48 0.49 0.5 0.51 0.52
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##                       volatile acidity
## probability.of.quality 0.53 0.54 0.545 0.55 0.56 0.565 0.57 0.575 0.58 0.585
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##                       volatile acidity
## probability.of.quality 0.59 0.595 0.6 0.605 0.61 0.615 0.62 0.625 0.63 0.635
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##                       volatile acidity
## probability.of.quality 0.64 0.645 0.65 0.655 0.66 0.665 0.67 0.675 0.68 0.685
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##                       volatile acidity
## probability.of.quality 0.69 0.695 0.7 0.705 0.71 0.715 0.72 0.725 0.73 0.735
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##                       volatile acidity
## probability.of.quality 0.74 0.745 0.75 0.755 0.76 0.765 0.77 0.775 0.78 0.785
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##                       volatile acidity
## probability.of.quality 0.79 0.795 0.8 0.805 0.81 0.815 0.82 0.825 0.83 0.835
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##                       volatile acidity
## probability.of.quality 0.84 0.845 0.85 0.855 0.86 0.865 0.87 0.875 0.88 0.885
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##                       volatile acidity
## probability.of.quality 0.89 0.895 0.9 0.91 0.915 0.92 0.935 0.95 0.955 0.96
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##                       volatile acidity
## probability.of.quality 0.965 0.975 0.98 1 1.005 1.01 1.02 1.025 1.035 1.04 1.07
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##                       volatile acidity
## probability.of.quality 1.09 1.115 1.13 1.18 1.185 1.24 1.33 1.58
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##     0.734684455110971     0     0    0    0     0    0    0    0
## 
##  [ reached getOption("max.print") -- omitted 318 row(s) and 79 matrix slice(s) ]
  1. Residual Analysis (2 points)

Null Deviance (2209.0):

Represents the deviance when the model only consists of the intercept.

The higher the value, the worse the model fits the data without any predictors.

Residual Deviance (1804.7):

Represents the deviance when the predictors are included in the model.

The lower the value, the better the model fits the data with predictors.

Degrees of Freedom (1598 for Null, 1596 for Residuals):

Degrees of freedom are a measure of the amount of information that went into estimation of the parameters.

It’s the number of independent values or quantities that can be assigned to a statistical distribution.

Difference (404.3):

A measure of how much better the model with predictors explains the data compared to a model with just the intercept.

A larger difference implies a better fit of the model.

logistic <- glm(quality ~ alcohol +  sulphates, data=df, family="binomial")
summary(logistic)
## 
## Call:
## glm(formula = quality ~ alcohol + sulphates, family = "binomial", 
##     data = df)
## 
## Coefficients:
##              Estimate Std. Error z value             Pr(>|z|)    
## (Intercept) -12.32438    0.73149 -16.848 < 0.0000000000000002 ***
## alcohol       1.03724    0.06728  15.417 < 0.0000000000000002 ***
## sulphates     2.67209    0.37097   7.203    0.000000000000589 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 2209.0  on 1598  degrees of freedom
## Residual deviance: 1804.7  on 1596  degrees of freedom
## AIC: 1810.7
## 
## Number of Fisher Scoring iterations: 4
## Now calculate the overall "Pseudo R-squared" and its p-value
ll.null <- logistic$null.deviance/-2
ll.proposed <- logistic$deviance/-2
(ll.null - ll.proposed) / ll.null
## [1] 0.1830352

Predicted value = bad

## The p-value for the R^2
1 - pchisq(2*(ll.proposed - ll.null), df=(length(logistic$coefficients)-1))
## [1] 0
predicted.data$quality <- 
data.frame(probability.of.quality=logistic$fitted.values,quality=df$quality)
  1. Model Insights (10 points): (Regression Prediction)

Prediction

Prediction seem to be accurate below

Inference:

Low Predicted Probability of Bad Quality:

Values like 0.2539028, 0.4152374, 0.3959143, 0.2539028, 0.2539028, 0.2066703, and 0.2077082 represent a low likelihood of bad quality.

For instance, a value of 0.2539028 indicates a relatively low probability of being bad quality, but the possibility is still there.

A value of 0.2066703 indicates a very low probability of bad quality.

A value of 0.2077082 indicates a very low probability of bad quality.

A value of 0.1606866 indicates an extremely low probability of bad quality.

High Predicted Probability of Bad Quality:

Values like 0.6691553, 0.6691553, 0.3393559, 0.7829626, 0.3940586, 0.4263695, 0.6774938 represent a high likelihood of bad quality.

For instance, a value of 0.6691553 indicates a high probability of being bad quality.

A value of 0.7829626 indicates a very high probability of bad quality.

Good Quality:

Values like 0.3521585, 0.3326894, 0.2793961, 0.6389391, and 0.5260103 indicate a prediction of good quality.

For instance, a value of 0.3521585 indicates a probability of being good quality, but there is still a possibility of it being bad quality.

probability:

probability.of.quality: The predicted probabilities of each quality category (bad or good).

quality: bad: Indicates low quality. good: Indicates high quality.

data.frame(probability.of.quality=logistic$fitted.values,quality=df$quality)
##      probability.of.quality quality
## 1                 0.2539028     bad
## 2                 0.4152374     bad
## 3                 0.3959143     bad
## 4                 0.3521585    good
## 5                 0.2539028     bad
## 6                 0.2539028     bad
## 7                 0.2066703     bad
## 8                 0.3326894    good
## 9                 0.2793961    good
## 10                0.6691553     bad
## 11                0.2077082     bad
## 12                0.6691553     bad
## 13                0.3393559     bad
## 14                0.7829626     bad
## 15                0.3940586     bad
## 16                0.4263695     bad
## 17                0.6389391    good
## 18                0.6774938     bad
## 19                0.1606866     bad
## 20                0.5260103    good
## 21                0.2390186    good
## 22                0.3713936     bad
## 23                0.4902644     bad
## 24                0.2390186     bad
## 25                0.3590052    good
## 26                0.2347594     bad
## 27                0.2902815     bad
## 28                0.4902644     bad
## 29                0.2488742     bad
## 30                0.3582785    good
## 31                0.4000456     bad
## 32                0.5482271    good
## 33                0.4023225     bad
## 34                0.2341923    good
## 35                0.2121399     bad
## 36                0.2896311    good
## 37                0.6180127    good
## 38                0.4225107    good
## 39                0.2938467     bad
## 40                0.6866556     bad
## 41                0.6866556     bad
## 42                0.2116124     bad
## 43                0.7254336    good
## 44                0.8271777     bad
## 45                0.2533047     bad
## 46                0.9404701     bad
## 47                0.3034130     bad
## 48                0.2848075     bad
## 49                0.2166403     bad
## 50                0.2258470     bad
## 51                0.3090901     bad
## 52                0.2909328    good
## 53                0.2964757    good
## 54                0.2539028     bad
## 55                0.4847392    good
## 56                0.2583920     bad
## 57                0.3355008     bad
## 58                0.3736090     bad
## 59                0.4072381     bad
## 60                0.2439127    good
## 61                0.2551016     bad
## 62                0.3141443     bad
## 63                0.3070697    good
## 64                0.3460866     bad
## 65                0.5059264     bad
## 66                0.5059264     bad
## 67                0.3063979     bad
## 68                0.5802879     bad
## 69                0.7078769     bad
## 70                0.7512296    good
## 71                0.2635454    good
## 72                0.2336262     bad
## 73                0.2336262     bad
## 74                0.2033452     bad
## 75                0.4561848     bad
## 76                0.5818260     bad
## 77                0.5818260     bad
## 78                0.5606481    good
## 79                0.3872902     bad
## 80                0.5267979     bad
## 81                0.2166403     bad
## 82                0.6997279     bad
## 83                0.2038575     bad
## 84                0.6158356     bad
## 85                0.6090870    good
## 86                0.4324970     bad
## 87                0.9591024    good
## 88                0.3414840     bad
## 89                0.6877028     bad
## 90                0.1717941     bad
## 91                0.2635454     bad
## 92                0.9591024    good
## 93                0.9581682     bad
## 94                0.3414840     bad
## 95                0.4623954     bad
## 96                0.9345841    good
## 97                0.5672190     bad
## 98                0.2500573     bad
## 99                0.3400645     bad
## 100               0.1958180    good
## 101               0.4714052    good
## 102               0.4898364    good
## 103               0.1958180    good
## 104               0.1948250     bad
## 105               0.2155699     bad
## 106               0.1948250     bad
## 107               0.6947542     bad
## 108               0.3619184     bad
## 109               0.4429611    good
## 110               0.3027457     bad
## 111               0.5036235     bad
## 112               0.4023225     bad
## 113               0.4023225     bad
## 114               0.3839535    good
## 115               0.5036235     bad
## 116               0.5622038    good
## 117               0.4201998    good
## 118               0.2247442    good
## 119               0.6421817    good
## 120               0.2077082    good
## 121               0.1875389     bad
## 122               0.6421817    good
## 123               0.1990508     bad
## 124               0.2583920     bad
## 125               0.2336262     bad
## 126               0.3309677     bad
## 127               0.5722203     bad
## 128               0.5656672     bad
## 129               0.7359489    good
## 130               0.2589979     bad
## 131               0.3077424     bad
## 132               0.9449673     bad
## 133               0.9449673     bad
## 134               0.3521585    good
## 135               0.3575524    good
## 136               0.4561848     bad
## 137               0.3981833     bad
## 138               0.2551016     bad
## 139               0.2635454     bad
## 140               0.2635454     bad
## 141               0.4561848     bad
## 142               0.3981833     bad
## 143               0.9867184    good
## 144               0.2641590     bad
## 145               0.9867184    good
## 146               0.2854515     bad
## 147               0.3629827     bad
## 148               0.3681116     bad
## 149               0.4514864    good
## 150               0.5490094    good
## 151               0.4440979    good
## 152               0.9410280     bad
## 153               0.4000456     bad
## 154               0.4000456     bad
## 155               0.6202476     bad
## 156               0.6139339     bad
## 157               0.6202476     bad
## 158               0.6139339     bad
## 159               0.2071888     bad
## 160               0.2395937    good
## 161               0.2951595     bad
## 162               0.5260103     bad
## 163               0.3880402    good
## 164               0.2201228     bad
## 165               0.2201228     bad
## 166               0.3070697     bad
## 167               0.4121723     bad
## 168               0.1536091     bad
## 169               0.4831612    good
## 170               0.8554591     bad
## 171               0.1188192     bad
## 172               0.2401698    good
## 173               0.2401698    good
## 174               0.7552904    good
## 175               0.2288761     bad
## 176               0.4046036     bad
## 177               0.2288761     bad
## 178               0.5490094    good
## 179               0.2951595     bad
## 180               0.2902815     bad
## 181               0.2902815     bad
## 182               0.5118812     bad
## 183               0.2161046     bad
## 184               0.2444958     bad
## 185               0.2444958    good
## 186               0.3000848     bad
## 187               0.2121399     bad
## 188               0.2781257     bad
## 189               0.2687643     bad
## 190               0.2687643     bad
## 191               0.2854515     bad
## 192               0.3769108    good
## 193               0.3014136     bad
## 194               0.3114279     bad
## 195               0.3114279     bad
## 196               0.2439127     bad
## 197               0.4581119     bad
## 198               0.6778099    good
## 199               0.9686620    good
## 200               0.6568330     bad
## 201               0.6342191    good
## 202               0.5185552     bad
## 203               0.4110567     bad
## 204               0.2121399     bad
## 205               0.2166403    good
## 206               0.7181650    good
## 207               0.7181650    good
## 208               0.2206656     bad
## 209               0.3134640     bad
## 210               0.7146618    good
## 211               0.9445621    good
## 212               0.3880402    good
## 213               0.5114534    good
## 214               0.3319884     bad
## 215               0.4348248    good
## 216               0.6450803     bad
## 217               0.6475775     bad
## 218               0.1953210     bad
## 219               0.3057269     bad
## 220               0.2958172     bad
## 221               0.2693856    good
## 222               0.2589979     bad
## 223               0.2958172     bad
## 224               0.4137040    good
## 225               0.4965153     bad
## 226               0.5290937    good
## 227               0.8619425    good
## 228               0.3832065     bad
## 229               0.5290937    good
## 230               0.6038089     bad
## 231               0.8793942    good
## 232               0.3393559    good
## 233               0.3783959    good
## 234               0.6038089     bad
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## 1518              0.6403954    good
## 1519              0.5622038     bad
## 1520              0.4514864     bad
## 1521              0.6403954    good
## 1522              0.1432798     bad
## 1523              0.7794299     bad
## 1524              0.5165499     bad
## 1525              0.5330275    good
## 1526              0.3651771     bad
## 1527              0.3475180    good
## 1528              0.6550805    good
## 1529              0.4855283    good
## 1530              0.4647523    good
## 1531              0.7756045    good
## 1532              0.5047750     bad
## 1533              0.4406237    good
## 1534              0.2043707     bad
## 1535              0.8127660    good
## 1536              0.3347969    good
## 1537              0.5439530    good
## 1538              0.4914155    good
## 1539              0.8588751     bad
## 1540              0.5071441     bad
## 1541              0.8007646    good
## 1542              0.7334859    good
## 1543              0.5799031    good
## 1544              0.4965153    good
## 1545              0.8110978    good
## 1546              0.4655383    good
## 1547              0.4714052     bad
## 1548              0.8304826     bad
## 1549              0.5031954     bad
## 1550              0.7974896    good
## 1551              0.2583920     bad
## 1552              0.2439127     bad
## 1553              0.7613454    good
## 1554              0.2746771     bad
## 1555              0.6656489    good
## 1556              0.6072049    good
## 1557              0.3637135     bad
## 1558              0.6656489    good
## 1559              0.2740481     bad
## 1560              0.3393559     bad
## 1561              0.3393559     bad
## 1562              0.3393559     bad
## 1563              0.4000456     bad
## 1564              0.4000456     bad
## 1565              0.4000456     bad
## 1566              0.7636339    good
## 1567              0.7667321    good
## 1568              0.4000456     bad
## 1569              0.2305531     bad
## 1570              0.7552904    good
## 1571              0.9535805    good
## 1572              0.7162427    good
## 1573              0.2482841     bad
## 1574              0.9191968    good
## 1575              0.4623954    good
## 1576              0.8355179    good
## 1577              0.7235418    good
## 1578              0.8350833    good
## 1579              0.7661666    good
## 1580              0.7310082     bad
## 1581              0.8350833    good
## 1582              0.7310082     bad
## 1583              0.7949265     bad
## 1584              0.3769108     bad
## 1585              0.8635786    good
## 1586              0.8639503    good
## 1587              0.8546431    good
## 1588              0.6781257    good
## 1589              0.9541999    good
## 1590              0.2077082     bad
## 1591              0.8697532    good
## 1592              0.7692416    good
## 1593              0.7482658    good
## 1594              0.4305921    good
## 1595              0.5290937     bad
## 1596              0.7897725    good
## 1597              0.7482658    good
## 1598              0.5381023     bad
## 1599              0.7003355    good
ggplot(data = predicted.data, aes(x = probability.of.quality, y = df$quality)) +
  geom_point(aes(color = df$quality), alpha = 1, shape = 4, stroke = 2) +
  xlab("Predicted probability of having good and bad quality wine") +
  ylab("Binary Quality")

# From Caret
pdata <- predict(logistic,newdata=df,type="response" )
pdata
##         1         2         3         4         5         6         7         8 
## 0.2539028 0.4152374 0.3959143 0.3521585 0.2539028 0.2539028 0.2066703 0.3326894 
##         9        10        11        12        13        14        15        16 
## 0.2793961 0.6691553 0.2077082 0.6691553 0.3393559 0.7829626 0.3940586 0.4263695 
##        17        18        19        20        21        22        23        24 
## 0.6389391 0.6774938 0.1606866 0.5260103 0.2390186 0.3713936 0.4902644 0.2390186 
##        25        26        27        28        29        30        31        32 
## 0.3590052 0.2347594 0.2902815 0.4902644 0.2488742 0.3582785 0.4000456 0.5482271 
##        33        34        35        36        37        38        39        40 
## 0.4023225 0.2341923 0.2121399 0.2896311 0.6180127 0.4225107 0.2938467 0.6866556 
##        41        42        43        44        45        46        47        48 
## 0.6866556 0.2116124 0.7254336 0.8271777 0.2533047 0.9404701 0.3034130 0.2848075 
##        49        50        51        52        53        54        55        56 
## 0.2166403 0.2258470 0.3090901 0.2909328 0.2964757 0.2539028 0.4847392 0.2583920 
##        57        58        59        60        61        62        63        64 
## 0.3355008 0.3736090 0.4072381 0.2439127 0.2551016 0.3141443 0.3070697 0.3460866 
##        65        66        67        68        69        70        71        72 
## 0.5059264 0.5059264 0.3063979 0.5802879 0.7078769 0.7512296 0.2635454 0.2336262 
##        73        74        75        76        77        78        79        80 
## 0.2336262 0.2033452 0.4561848 0.5818260 0.5818260 0.5606481 0.3872902 0.5267979 
##        81        82        83        84        85        86        87        88 
## 0.2166403 0.6997279 0.2038575 0.6158356 0.6090870 0.4324970 0.9591024 0.3414840 
##        89        90        91        92        93        94        95        96 
## 0.6877028 0.1717941 0.2635454 0.9591024 0.9581682 0.3414840 0.4623954 0.9345841 
##        97        98        99       100       101       102       103       104 
## 0.5672190 0.2500573 0.3400645 0.1958180 0.4714052 0.4898364 0.1958180 0.1948250 
##       105       106       107       108       109       110       111       112 
## 0.2155699 0.1948250 0.6947542 0.3619184 0.4429611 0.3027457 0.5036235 0.4023225 
##       113       114       115       116       117       118       119       120 
## 0.4023225 0.3839535 0.5036235 0.5622038 0.4201998 0.2247442 0.6421817 0.2077082 
##       121       122       123       124       125       126       127       128 
## 0.1875389 0.6421817 0.1990508 0.2583920 0.2336262 0.3309677 0.5722203 0.5656672 
##       129       130       131       132       133       134       135       136 
## 0.7359489 0.2589979 0.3077424 0.9449673 0.9449673 0.3521585 0.3575524 0.4561848 
##       137       138       139       140       141       142       143       144 
## 0.3981833 0.2551016 0.2635454 0.2635454 0.4561848 0.3981833 0.9867184 0.2641590 
##       145       146       147       148       149       150       151       152 
## 0.9867184 0.2854515 0.3629827 0.3681116 0.4514864 0.5490094 0.4440979 0.9410280 
##       153       154       155       156       157       158       159       160 
## 0.4000456 0.4000456 0.6202476 0.6139339 0.6202476 0.6139339 0.2071888 0.2395937 
##       161       162       163       164       165       166       167       168 
## 0.2951595 0.5260103 0.3880402 0.2201228 0.2201228 0.3070697 0.4121723 0.1536091 
##       169       170       171       172       173       174       175       176 
## 0.4831612 0.8554591 0.1188192 0.2401698 0.2401698 0.7552904 0.2288761 0.4046036 
##       177       178       179       180       181       182       183       184 
## 0.2288761 0.5490094 0.2951595 0.2902815 0.2902815 0.5118812 0.2161046 0.2444958 
##       185       186       187       188       189       190       191       192 
## 0.2444958 0.3000848 0.2121399 0.2781257 0.2687643 0.2687643 0.2854515 0.3769108 
##       193       194       195       196       197       198       199       200 
## 0.3014136 0.3114279 0.3114279 0.2439127 0.4581119 0.6778099 0.9686620 0.6568330 
##       201       202       203       204       205       206       207       208 
## 0.6342191 0.5185552 0.4110567 0.2121399 0.2166403 0.7181650 0.7181650 0.2206656 
##       209       210       211       212       213       214       215       216 
## 0.3134640 0.7146618 0.9445621 0.3880402 0.5114534 0.3319884 0.4348248 0.6450803 
##       217       218       219       220       221       222       223       224 
## 0.6475775 0.1953210 0.3057269 0.2958172 0.2693856 0.2589979 0.2958172 0.4137040 
##       225       226       227       228       229       230       231       232 
## 0.4965153 0.5290937 0.8619425 0.3832065 0.5290937 0.6038089 0.8793942 0.3393559 
##       233       234       235       236       237       238       239       240 
## 0.3783959 0.6038089 0.1795317 0.1916444 0.1916444 0.2258470 0.1916444 0.1795317 
##       241       242       243       244       245       246       247       248 
## 0.5583777 0.7065686 0.2994217 0.3688468 0.3688468 0.6247022 0.2533047 0.1860991 
##       249       250       251       252       253       254       255       256 
## 0.2938467 0.6247022 0.5330275 0.4538346 0.4957255 0.2902815 0.4538346 0.2395937 
##       257       258       259       260       261       262       263       264 
## 0.2450798 0.2706311 0.6883809 0.6691553 0.2806700 0.2746771 0.3944041 0.2915849 
##       265       266       267       268       269       270       271       272 
## 0.7868953 0.5447366 0.4414026 0.9626859 0.4643924 0.6778099 0.6374801 0.6778099 
##       273       274       275       276       277       278       279       280 
## 0.5587344 0.2964757 0.3736090 0.6374801 0.4643924 0.6778099 0.9495987 0.6511741 
##       281       282       283       284       285       286       287       288 
## 0.3806277 0.6963986 0.2038575 0.6511741 0.4348248 0.4348248 0.5962910 0.5571760 
##       289       290       291       292       293       294       295       296 
## 0.7248039 0.4394888 0.7248039 0.6139339 0.5173388 0.4390670 0.4240531 0.3185567 
##       297       298       299       300       301       302       303       304 
## 0.3393559 0.3974265 0.4686839 0.3847011 0.5867816 0.4655383 0.4929947 0.2635454 
##       305       306       307       308       309       310       311       312 
## 0.1990508 0.2494653 0.2341923 0.3070697 0.3127845 0.2583920 0.2494653 0.2439127 
##       313       314       315       316       317       318       319       320 
## 0.3127845 0.2390186 0.7114297 0.6946979 0.4721925 0.5431691 0.8177419 0.5431691 
##       321       322       323       324       325       326       327       328 
## 0.8177419 0.3528796 0.2700079 0.3543238 0.2813083 0.2813083 0.8293866 0.8607789 
##       329       330       331       332       333       334       335       336 
## 0.3839535 0.3070697 0.9171898 0.9171898 0.2439127 0.6165200 0.8567721 0.9292067 
##       337       338       339       340       341       342       343       344 
## 0.9249543 0.5173388 0.9068723 0.8137659 0.5917838 0.8482845 0.4612506 0.4612506 
##       345       346       347       348       349       350       351       352 
## 0.7023208 0.5271585 0.9433153 0.9313495 0.6239612 0.4313669 0.6371457 0.4118218 
##       353       354       355       356       357       358       359       360 
## 0.3257714 0.9614807 0.8313703 0.9297158 0.8079519 0.8600200 0.6757366 0.4152374 
##       361       362       363       364       365       366       367       368 
## 0.3309677 0.5928960 0.3880402 0.6411227 0.4996745 0.9168393 0.4996745 0.2413247 
##       369       370       371       372       373       374       375       376 
## 0.2964757 0.9585933 0.5071441 0.2737604 0.8099051 0.2500573 0.7392861 0.8940645 
##       377       378       379       380       381       382       383       384 
## 0.8860828 0.9585933 0.9839576 0.6788149 0.3925509 0.5463031 0.3925509 0.3925509 
##       385       386       387       388       389       390       391       392 
## 0.3090901 0.4421817 0.3090901 0.2841644 0.3090901 0.4796451 0.9625722 0.5463031 
##       393       394       395       396       397       398       399       400 
## 0.2482841 0.1911554 0.3699197 0.9406467 0.3453720 0.6946979 0.6946979 0.2488742 
##       401       402       403       404       405       406       407       408 
## 0.3453720 0.5333876 0.5490094 0.5622038 0.2217541 0.5455200 0.6490182 0.6367497 
##       409       410       411       412       413       414       415       416 
## 0.7802208 0.3007488 0.3070697 0.3070697 0.2753069 0.8810596 0.3014136 0.5451612 
##       417       418       419       420       421       422       423       424 
## 0.8284906 0.4623954 0.6209915 0.4406237 0.8659644 0.8732610 0.5392469 0.8161081 
##       425       426       427       428       429       430       431       432 
## 0.5392469 0.8732610 0.6920111 0.5416009 0.2545017 0.5165499 0.8161081 0.2166403 
##       433       434       435       436       437       438       439       440 
## 0.9363873 0.2384445 0.5799355 0.2384445 0.4382890 0.7419915 0.5799355 0.2545017 
##       441       442       443       444       445       446       447       448 
## 0.5079337 0.7709197 0.7520894 0.8007646 0.9471370 0.4129379 0.6265210 0.7714771 
##       449       450       451       452       453       454       455       456 
## 0.4382890 0.6243006 0.6243006 0.4867453 0.4332726 0.7807620 0.7052569 0.9682761 
##       457       458       459       460       461       462       463       464 
## 0.4772800 0.3063979 0.7807620 0.1875389 0.7362300 0.2596047 0.8242030 0.1717941 
##       465       466       467       468       469       470       471       472 
## 0.2867420 0.5420260 0.8216907 0.9867184 0.2450798 0.3521585 0.5745388 0.8017708 
##       473       474       475       476       477       478       479       480 
## 0.6579303 0.6859754 0.4511281 0.4647523 0.4030824 0.8718855 0.4647523 0.5055647 
##       481       482       483       484       485       486       487       488 
## 0.2653891 0.9063373 0.5575985 0.5641795 0.9657191 0.3326894 0.3326894 0.3037189 
##       489       490       491       492       493       494       495       496 
## 0.7918629 0.5645352 0.6131848 0.9729312 0.9816496 0.8435669 0.8450031 0.6946979 
##       497       498       499       500       501       502       503       504 
## 0.2222998 0.7858338 0.6946979 0.8435669 0.2222998 0.9163563 0.9163563 0.8532807 
##       505       506       507       508       509       510       511       512 
## 0.8433758 0.9385097 0.8324932 0.3604605 0.4847392 0.7887215 0.3014136 0.4847392 
##       513       514       515       516       517       518       519       520 
## 0.4753431 0.8427312 0.8427312 0.5910204 0.8803958 0.1269607 0.8359516 0.7630632 
##       521       522       523       524       525       526       527       528 
## 0.6113413 0.2358964 0.6191621 0.2488742 0.3185567 0.4340485 0.7630632 0.8260266 
##       529       530       531       532       533       534       535       536 
## 0.2147921 0.2589979 0.6646230 0.4973051 0.4973051 0.9379605 0.3880402 0.6646230 
##       537       538       539       540       541       542       543       544 
## 0.2589979 0.6967044 0.8683149 0.7210069 0.3597325 0.7380664 0.3824601 0.7328678 
##       545       546       547       548       549       550       551       552 
## 0.1823409 0.2126684 0.4046036 0.7450040 0.6146824 0.2800326 0.2740481 0.4996745 
##       553       554       555       556       557       558       559       560 
## 0.5063544 0.7791354 0.7624915 0.7624915 0.7871378 0.7624915 0.7871378 0.9349693 
##       561       562       563       564       565       566       567       568 
## 0.7356160 0.2258470 0.2401698 0.4456583 0.9349693 0.7356160 0.2000601 0.2000601 
##       569       570       571       572       573       574       575       576 
## 0.7078769 0.7915806 0.8200844 0.7915806 0.5232195 0.2951595 0.4796451 0.5970512 
##       577       578       579       580       581       582       583       584 
## 0.3629827 0.2958172 0.3644450 0.3107508 0.2330610 0.2330610 0.1634573 0.4274965 
##       585       586       587       588       589       590       591       592 
## 0.6910285 0.3536013 0.8015407 0.2494653 0.9848486 0.6327520 0.3230019 0.7190963 
##       593       594       595       596       597       598       599       600 
## 0.3230019 0.1916444 0.2583920 0.2395937 0.2545017 0.4332726 0.2938467 0.3084158 
##       601       602       603       604       605       606       607       608 
## 0.3326894 0.1835015 0.2161046 0.1835015 0.2263999 0.2305531 0.9198980 0.4957255 
##       609       610       611       612       613       614       615       616 
## 0.5431691 0.9036208 0.2077082 0.2439127 0.4137040 0.4546178 0.8687060 0.3230019 
##       617       618       619       620       621       622       623       624 
## 0.3230019 0.5807049 0.5314545 0.3681116 0.2800326 0.2854515 0.2687643 0.9422144 
##       625       626       627       628       629       630       631       632 
## 0.5447366 0.5447366 0.1713450 0.1713450 0.2545017 0.2596047 0.2545017 0.3127845 
##       633       634       635       636       637       638       639       640 
## 0.5224313 0.7514999 0.2848075 0.3114279 0.2390186 0.2390186 0.4980949 0.8800908 
##       641       642       643       644       645       646       647       648 
## 0.2854515 0.3127845 0.2854515 0.3127845 0.2854515 0.4988847 0.4588963 0.6536515 
##       649       650       651       652       653       654       655       656 
## 0.7470738 0.7149568 0.2629327 0.7470738 0.9953910 0.8271397 0.2241942 0.2800326 
##       657       658       659       660       661       662       663       664 
## 0.2629327 0.5947690 0.4495640 0.6475775 0.4495640 0.2177145 0.3783959 0.5906064 
##       665       666       667       668       669       670       671       672 
## 0.5047750 0.3171866 0.2958172 0.2653891 0.6475775 0.2653891 0.4008041 0.2533047 
##       673       674       675       676       677       678       679       680 
## 0.2583920 0.2533047 0.2915849 0.4980949 0.2915849 0.3158198 0.3691836 0.2841644 
##       681       682       683       684       685       686       687       688 
## 0.1571155 0.3928959 0.3281755 0.7094801 0.2155699 0.7094801 0.2171769 0.3347969 
##       689       690       691       692       693       694       695       696 
## 0.2110858 0.5575985 0.5540558 0.3281755 0.5342400 0.2854515 0.2800326 0.9314419 
##       697       698       699       700       701       702       703       704 
## 0.3362055 0.3362055 0.3000848 0.6305469 0.4194303 0.3362055 0.3134640 0.3783959 
##       705       706       707       708       709       710       711       712 
## 0.3057269 0.3216218 0.3326894 0.4823723 0.7921013 0.4530516 0.4194303 0.3014136 
##       713       714       715       716       717       718       719       720 
## 0.2023236 0.2066703 0.3107508 0.1825567 0.2066703 0.3944041 0.2330610 0.2635454 
##       721       722       723       724       725       726       727       728 
## 0.2330610 0.2033452 0.4072381 0.8650915 0.7101308 0.4831612 0.7526780 0.3421947 
##       729       730       731       732       733       734       735       736 
## 0.3421947 0.8964099 0.3597325 0.7297640 0.2476949 0.2958172 0.2647736 0.2433305 
##       737       738       739       740       741       742       743       744 
## 0.2433305 0.2806700 0.2166403 0.2545017 0.8054889 0.2793961 0.2602124 0.3691836 
##       745       746       747       748       749       750       751       752 
## 0.2482841 0.3728699 0.1501671 0.2155699 0.3910452 0.3728699 0.2687643 0.2687643 
##       753       754       755       756       757       758       759       760 
## 0.2800326 0.2687643 0.4867453 0.4807948 0.6275981 0.3050568 0.3050568 0.1990508 
##       761       762       763       764       765       766       767       768 
## 0.3230019 0.2236452 0.3691836 0.2236452 0.2687643 0.2635454 0.2439127 0.3070697 
##       769       770       771       772       773       774       775       776 
## 0.3000848 0.2841644 0.3000848 0.2488742 0.2488742 0.4969434 0.4902644 0.3267839 
##       777       778       779       780       781       782       783       784 
## 0.4906259 0.4839501 0.5490094 0.3644450 0.2746771 0.3959143 0.3691836 0.3959143 
##       785       786       787       788       789       790       791       792 
## 0.3582785 0.2433305 0.2433305 0.4129379 0.4129379 0.2161046 0.3902932 0.2841644 
##       793       794       795       796       797       798       799       800 
## 0.3407739 0.5924826 0.8866923 0.8035433 0.4038428 0.7392861 0.5408164 0.5408164 
##       801       802       803       804       805       806       807       808 
## 0.2294341 0.3151375 0.9725578 0.3536013 0.3699197 0.9438966 0.9267882 0.9438966 
##       809       810       811       812       813       814       815       816 
## 0.3813728 0.4573277 0.4557600 0.6896778 0.6846127 0.7407800 0.8064770 0.6846127 
##       817       818       819       820       821       822       823       824 
## 0.5290937 0.8775534 0.2023236 0.2841644 0.3407739 0.9848486 0.3895417 0.3895417 
##       825       826       827       828       829       830       831       832 
## 0.4440979 0.5208546 0.6890013 0.5208546 0.9440637 0.7767022 0.6109344 0.7767022 
##       833       834       835       836       837       838       839       840 
## 0.5602916 0.5602916 0.2110858 0.2116124 0.7013013 0.7013013 0.8191503 0.3326894 
##       841       842       843       844       845       846       847       848 
## 0.9075261 0.5106639 0.7120779 0.2854515 0.7085298 0.4023225 0.4023225 0.4538346 
##       849       850       851       852       853       854       855       856 
## 0.4023225 0.4023225 0.2687643 0.2687643 0.6447490 0.7175251 0.7175251 0.8466510 
##       857       858       859       860       861       862       863       864 
## 0.7175251 0.8146814 0.6131848 0.8151579 0.2635454 0.7698019 0.4106422 0.3000848 
##       865       866       867       868       869       870       871       872 
## 0.2635454 0.3057269 0.8340111 0.8230751 0.8151579 0.6663516 0.8081763 0.5482271 
##       873       874       875       876       877       878       879       880 
## 0.3754281 0.6767450 0.8391573 0.8835066 0.6298106 0.8081763 0.3507183 0.2687643 
##       881       882       883       884       885       886       887       888 
## 0.3216218 0.7750541 0.9008578 0.2687643 0.3507183 0.5687694 0.5497915 0.9119144 
##       889       890       891       892       893       894       895       896 
## 0.6876457 0.2971351 0.4259508 0.3230019 0.2806700 0.3230019 0.3521585 0.5802879 
##       897       898       899       900       901       902       903       904 
## 0.9369495 0.5802879 0.9369495 0.5973993 0.8530662 0.6729615 0.6729615 0.6116850 
##       905       906       907       908       909       910       911       912 
## 0.6116850 0.2902815 0.7276042 0.7401729 0.6116850 0.7297640 0.9473671 0.6421817 
##       913       914       915       916       917       918       919       920 
## 0.8793942 0.8849483 0.7297640 0.8592576 0.6715693 0.4655383 0.7328678 0.9083184 
##       921       922       923       924       925       926       927       928 
## 0.5157609 0.7328678 0.9083184 0.4655383 0.8069696 0.8037716 0.6593509 0.2305531 
##       929       930       931       932       933       934       935       936 
## 0.8069696 0.8882697 0.6265210 0.3959143 0.2902815 0.3959143 0.6265210 0.8628325 
##       937       938       939       940       941       942       943       944 
## 0.8628325 0.5165499 0.9516618 0.7197341 0.9287899 0.8839798 0.4398452 0.3407739 
##       945       946       947       948       949       950       951       952 
## 0.8739587 0.7858338 0.9409181 0.8997234 0.8859098 0.8859098 0.8859098 0.8997234 
##       953       954       955       956       957       958       959       960 
## 0.7520894 0.8879558 0.8548227 0.5629813 0.7413862 0.6767450 0.7847685 0.4201998 
##       961       962       963       964       965       966       967       968 
## 0.8115814 0.2647736 0.3482347 0.7570379 0.8115814 0.7995229 0.8275909 0.1825567 
##       969       970       971       972       973       974       975       976 
## 0.8736103 0.4714052 0.7868953 0.7868953 0.8091539 0.6124352 0.8679532 0.2341923 
##       977       978       979       980       981       982       983       984 
## 0.2341923 0.1751724 0.6694755 0.5365314 0.6139339 0.4267234 0.9625722 0.6139339 
##       985       986       987       988       989       990       991       992 
## 0.5365314 0.7203709 0.7250924 0.2247442 0.2201228 0.5852487 0.2201228 0.2155699 
##       993       994       995       996       997       998       999      1000 
## 0.2155699 0.2155699 0.1938357 0.4522689 0.9331287 0.9331287 0.1675843 0.9221762 
##      1001      1002      1003      1004      1005      1006      1007      1008 
## 0.8216907 0.7029809 0.8865469 0.9184901 0.4507041 0.9184901 0.8865469 0.8865469 
##      1009      1010      1011      1012      1013      1014      1015      1016 
## 0.8800628 0.6896778 0.8702740 0.4831612 0.3386479 0.4008041 0.6990078 0.8512920 
##      1017      1018      1019      1020      1021      1022      1023      1024 
## 0.9398555 0.8833302 0.8833302 0.5232195 0.8076861 0.8076861 0.5024057 0.8702740 
##      1025      1026      1027      1028      1029      1030      1031      1032 
## 0.5157609 0.5165499 0.9038956 0.7497257 0.4000456 0.5157609 0.7452787 0.6536515 
##      1033      1034      1035      1036      1037      1038      1039      1040 
## 0.2787605 0.5098744 0.2675243 0.6004349 0.9018292 0.2166403 0.9428063 0.8032728 
##      1041      1042      1043      1044      1045      1046      1047      1048 
## 0.5114534 0.3895417 0.8032728 0.7587769 0.8793942 0.7407800 0.6060740 0.5431691 
##      1049      1050      1051      1052      1053      1054      1055      1056 
## 0.7438017 0.7181650 0.5431691 0.6897347 0.9259261 0.9481492 0.2263999 0.2263999 
##      1057      1058      1059      1060      1061      1062      1063      1064 
## 0.8584917 0.2038575 0.8504904 0.8584917 0.4538346 0.9230783 0.7703613 0.8318127 
##      1065      1066      1067      1068      1069      1070      1071      1072 
## 0.8081763 0.4647523 0.9285807 0.7684229 0.7684229 0.6305469 0.8273844 0.2258470 
##      1073      1074      1075      1076      1077      1078      1079      1080 
## 0.2848075 0.5802879 0.2258470 0.6349517 0.8101278 0.6536515 0.6536515 0.8577224 
##      1081      1082      1083      1084      1085      1086      1087      1088 
## 0.7820883 0.8577224 0.2902815 0.8984456 0.2902815 0.2577871 0.8132462 0.7570379 
##      1089      1090      1091      1092      1093      1094      1095      1096 
## 0.4937844 0.4937844 0.8318127 0.7509094 0.7650327 0.9183817 0.5466617 0.4757039 
##      1097      1098      1099      1100      1101      1102      1103      1104 
## 0.5466617 0.2341923 0.9429765 0.2341923 0.9322445 0.8588751 0.6760535 0.8588751 
##      1105      1106      1107      1108      1109      1110      1111      1112 
## 0.9089630 0.9279496 0.8672274 0.8892069 0.2384445 0.7127252 0.4398452 0.8950948 
##      1113      1114      1115      1116      1117      1118      1119      1120 
## 0.7276042 0.2902815 0.9719614 0.7310082 0.7310082 0.7310082 0.9472094 0.9312399 
##      1121      1122      1123      1124      1125      1126      1127      1128 
## 0.9603587 0.8702740 0.8476565 0.7368430 0.7791354 0.7257217 0.9577651 0.7698019 
##      1129      1130      1131      1132      1133      1134      1135      1136 
## 0.4663244 0.6011926 0.5365314 0.2150362 0.9842276 0.7520894 0.8690357 0.8350833 
##      1137      1138      1139      1140      1141      1142      1143      1144 
## 0.8221531 0.8221531 0.2082286 0.3185567 0.3243851 0.7952056 0.7750541 0.5595132 
##      1145      1146      1147      1148      1149      1150      1151      1152 
## 0.4522689 0.6518914 0.5412416 0.7728433 0.8132462 0.8193645 0.9518069 0.9151375 
##      1153      1154      1155      1156      1157      1158      1159      1160 
## 0.3223114 0.7216419 0.7887215 0.3223114 0.8749990 0.9670991 0.8544633 0.6610929 
##      1161      1162      1163      1164      1165      1166      1167      1168 
## 0.7526780 0.5645352 0.8596392 0.4596809 0.4596809 0.5902565 0.7056127 0.9472950 
##      1169      1170      1171      1172      1173      1174      1175      1176 
## 0.8346477 0.7791354 0.5883128 0.6670537 0.9176684 0.3070697 0.3070697 0.8137256 
##      1177      1178      1179      1180      1181      1182      1183      1184 
## 0.6522196 0.9316434 0.8101278 0.7772497 0.7772497 0.6746682 0.7036401 0.2545017 
##      1185      1186      1187      1188      1189      1190      1191      1192 
## 0.7009982 0.7769531 0.8410491 0.7769531 0.7009982 0.2330610 0.8969952 0.5598697 
##      1193      1194      1195      1196      1197      1198      1199      1200 
## 0.9355432 0.5598697 0.2902815 0.2958172 0.2848075 0.3281755 0.7488605 0.2848075 
##      1201      1202      1203      1204      1205      1206      1207      1208 
## 0.3281755 0.6760535 0.8395832 0.2488742 0.7952056 0.7952056 0.7952056 0.6364150 
##      1209      1210      1211      1212      1213      1214      1215      1216 
## 0.7952056 0.8344480 0.5298808 0.2647736 0.5298808 0.6389391 0.4367341 0.7094801 
##      1217      1218      1219      1220      1221      1222      1223      1224 
## 0.3482347 0.9077909 0.6257814 0.7684229 0.8404324 0.8404324 0.2427493 0.8959814 
##      1225      1226      1227      1228      1229      1230      1231      1232 
## 0.6342191 0.2294341 0.1786029 0.3910452 0.9766328 0.3185567 0.8807281 0.6305469 
##      1233      1234      1235      1236      1237      1238      1239      1240 
## 0.3185567 0.2028339 0.8830042 0.7503180 0.2964757 0.8830042 0.2427493 0.8039997 
##      1241      1242      1243      1244      1245      1246      1247      1248 
## 0.1667047 0.3582785 0.8736103 0.3070697 0.4507041 0.5947690 0.3386479 0.5947690 
##      1249      1250      1251      1252      1253      1254      1255      1256 
## 0.7672967 0.6482982 0.6482982 0.3582785 0.3521585 0.2848075 0.6953675 0.5714468 
##      1257      1258      1259      1260      1261      1262      1263      1264 
## 0.1598363 0.7222761 0.7464763 0.7464763 0.5974632 0.6818778 0.3521585 0.2427493 
##      1265      1266      1267      1268      1269      1270      1271      1272 
## 0.8628325 0.4906259 0.4906259 0.8611571 0.2687643 0.9877289 0.9852422 0.7915806 
##      1273      1274      1275      1276      1277      1278      1279      1280 
## 0.6701742 0.1781399 0.6701742 0.2635454 0.8346477 0.3407739 0.2635454 0.7552904 
##      1281      1282      1283      1284      1285      1286      1287      1288 
## 0.5431691 0.5431691 0.6896778 0.4847392 0.6172666 0.5224313 0.8787225 0.8955265 
##      1289      1290      1291      1292      1293      1294      1295      1296 
## 0.7992909 0.7992909 0.6596758 0.7282299 0.9111501 0.2781257 0.7282299 0.2195809 
##      1297      1298      1299      1300      1301      1302      1303      1304 
## 0.2195809 0.8648605 0.8613300 0.5126042 0.9064601 0.8567721 0.8069696 0.7419915 
##      1305      1306      1307      1308      1309      1310      1311      1312 
## 0.1671440 0.3223114 0.4522689 0.6407285 0.4522689 0.2401698 0.3223114 0.9261425 
##      1313      1314      1315      1316      1317      1318      1319      1320 
## 0.4557600 0.4000456 0.3936498 0.3521585 0.9018292 0.8655973 0.3521585 0.6611524 
##      1321      1322      1323      1324      1325      1326      1327      1328 
## 0.4788566 0.9018292 0.7250924 0.7818417 0.5679943 0.5679943 0.5679943 0.5679943 
##      1329      1330      1331      1332      1333      1334      1335      1336 
## 0.2161046 0.3400645 0.3400645 0.1747164 0.2471067 0.2681439 0.3629827 0.9247347 
##      1337      1338      1339      1340      1341      1342      1343      1344 
## 0.2195809 0.2195809 0.2195809 0.5024057 0.5024057 0.5024057 0.4565438 0.5024057 
##      1345      1346      1347      1348      1349      1350      1351      1352 
## 0.6228174 0.4186612 0.7303866 0.1933425 0.1933425 0.5664433 0.3944041 0.7820883 
##      1353      1354      1355      1356      1357      1358      1359      1360 
## 0.3985300 0.3985300 0.3629827 0.3379407 0.3379407 0.6825627 0.2433305 0.4549985 
##      1361      1362      1363      1364      1365      1366      1367      1368 
## 0.6172666 0.4000456 0.4549985 0.2938467 0.7910589 0.3070697 0.3050568 0.8480982 
##      1369      1370      1371      1372      1373      1374      1375      1376 
## 0.3050568 0.3662455 0.5853132 0.9212837 0.5853132 0.1860991 0.3107508 0.3393559 
##      1377      1378      1379      1380      1381      1382      1383      1384 
## 0.3267839 0.8793942 0.3333912 0.6305469 0.6305469 0.2378713 0.3216218 0.3216218 
##      1385      1386      1387      1388      1389      1390      1391      1392 
## 0.2433305 0.1598363 0.3063979 0.3063979 0.5439530 0.3000848 0.9018292 0.6536515 
##      1393      1394      1395      1396      1397      1398      1399      1400 
## 0.2938467 0.3865408 0.1825567 0.3358531 0.3358531 0.3393559 0.4780683 0.7526780 
##      1401      1402      1403      1404      1405      1406      1407      1408 
## 0.3333912 0.3333912 0.9011396 0.7285687 0.6060740 0.8583159 0.8165817 0.7788863 
##      1409      1410      1411      1412      1413      1414      1415      1416 
## 0.9621767 0.7788863 0.7675549 0.6504562 0.8165817 0.6356836 0.4298177 0.4183091 
##      1417      1418      1419      1420      1421      1422      1423      1424 
## 0.4298177 0.9075261 0.2828809 0.2987594 0.2828809 0.2641590 0.8512920 0.7059132 
##      1425      1426      1427      1428      1429      1430      1431      1432 
## 0.3783959 0.3783959 0.8931635 0.6990078 0.6832468 0.8677873 0.5298808 0.3514380 
##      1433      1434      1435      1436      1437      1438      1439      1440 
## 0.8892069 0.5322411 0.2825875 0.2825875 0.1454259 0.6529359 0.4049522 0.7254159 
##      1441      1442      1443      1444      1445      1446      1447      1448 
## 0.7936578 0.2666054 0.4612506 0.7541207 0.7322489 0.2734200 0.4612506 0.4290436 
##      1449      1450      1451      1452      1453      1454      1455      1456 
## 0.4225107 0.8064770 0.7936578 0.7630632 0.8504904 0.1916444 0.6953675 0.6603847 
##      1457      1458      1459      1460      1461      1462      1463      1464 
## 0.4886522 0.1916444 0.5423851 0.8962755 0.5695441 0.4201998 0.5031954 0.5729935 
##      1465      1466      1467      1468      1469      1470      1471      1472 
## 0.3839535 0.3839535 0.4464390 0.6475775 0.4464390 0.3114279 0.2675243 0.8942015 
##      1473      1474      1475      1476      1477      1478      1479      1480 
## 0.7858338 0.6290737 0.2328025 0.9836817 0.2328025 0.9842276 0.4121723 0.6195032 
##      1481      1482      1483      1484      1485      1486      1487      1488 
## 0.4522689 0.6195032 0.4706180 0.5996767 0.6663516 0.3114279 0.4906259 0.6801910 
##      1489      1490      1491      1492      1493      1494      1495      1496 
## 0.7407800 0.7127252 0.8843034 0.7407800 0.8195982 0.3347969 0.4796451 0.6973715 
##      1497      1498      1499      1500      1501      1502      1503      1504 
## 0.3347969 0.7836993 0.6053195 0.7836993 0.2787605 0.2390186 0.3281755 0.7168843 
##      1505      1506      1507      1508      1509      1510      1511      1512 
## 0.7250924 0.4205847 0.6550805 0.7250924 0.6443566 0.7425958 0.4487824 0.4087642 
##      1513      1514      1515      1516      1517      1518      1519      1520 
## 0.5497915 0.5423851 0.3050755 0.3087528 0.7794299 0.6403954 0.5622038 0.4514864 
##      1521      1522      1523      1524      1525      1526      1527      1528 
## 0.6403954 0.1432798 0.7794299 0.5165499 0.5330275 0.3651771 0.3475180 0.6550805 
##      1529      1530      1531      1532      1533      1534      1535      1536 
## 0.4855283 0.4647523 0.7756045 0.5047750 0.4406237 0.2043707 0.8127660 0.3347969 
##      1537      1538      1539      1540      1541      1542      1543      1544 
## 0.5439530 0.4914155 0.8588751 0.5071441 0.8007646 0.7334859 0.5799031 0.4965153 
##      1545      1546      1547      1548      1549      1550      1551      1552 
## 0.8110978 0.4655383 0.4714052 0.8304826 0.5031954 0.7974896 0.2583920 0.2439127 
##      1553      1554      1555      1556      1557      1558      1559      1560 
## 0.7613454 0.2746771 0.6656489 0.6072049 0.3637135 0.6656489 0.2740481 0.3393559 
##      1561      1562      1563      1564      1565      1566      1567      1568 
## 0.3393559 0.3393559 0.4000456 0.4000456 0.4000456 0.7636339 0.7667321 0.4000456 
##      1569      1570      1571      1572      1573      1574      1575      1576 
## 0.2305531 0.7552904 0.9535805 0.7162427 0.2482841 0.9191968 0.4623954 0.8355179 
##      1577      1578      1579      1580      1581      1582      1583      1584 
## 0.7235418 0.8350833 0.7661666 0.7310082 0.8350833 0.7310082 0.7949265 0.3769108 
##      1585      1586      1587      1588      1589      1590      1591      1592 
## 0.8635786 0.8639503 0.8546431 0.6781257 0.9541999 0.2077082 0.8697532 0.7692416 
##      1593      1594      1595      1596      1597      1598      1599 
## 0.7482658 0.4305921 0.5290937 0.7897725 0.7482658 0.5381023 0.7003355
library(caret)
library(pROC)
## Warning: package 'pROC' was built under R version 4.3.2
## Type 'citation("pROC")' for a citation.
## 
## Attaching package: 'pROC'
## The following objects are masked from 'package:stats':
## 
##     cov, smooth, var
pdataF <- as.factor(ifelse(test=as.numeric(pdata>0.5) == 0, yes="good", no="bad"))


attributes(pdataF)
## $levels
## [1] "bad"  "good"
## 
## $class
## [1] "factor"
  1. Model Insights (10 points): (Regression)

Model Accuracy

Accuracy: 0.2964

Percentage of correctly predicted observations.

95% CI: (0.2741, 0.3195)

The confidence interval for the accuracy.

No Information Rate (NIR): 0.5347

The accuracy that could be achieved by always predicting the majority class.

P-Value [Acc > NIR]: 1.00000

The probability that the accuracy is greater than the No Information Rate.

Kappa: -0.4065

A measure of how closely the instances classified as the same class agree with the actual classification.

A kappa of 1 represents perfect agreement, and a kappa of 0 represents agreement equivalent to random chance.

Negative values suggest no agreement.

Mcnemar’s Test P-Value: 0.07364

A statistical test used on paired nominal data.

Tests if the row and column marginal frequencies are equal.

Sensitivity (True Positive Rate): 0.2849

The proportion of actual positive cases that were correctly identified.

Specificity (True Negative Rate): 0.3064

The proportion of actual negative cases that were correctly identified.

Positive Predictive Value (PPV): 0.2634 The proportion of positive identifications that were actually correct.

Negative Predictive Value (NPV): 0.33

The proportion of negative identifications that were actually correct.

Prevalence: 0.4653

The proportion of actual positive cases.

Detection Rate: 0.1326

The proportion of actual positive cases

# Create confusion matrix
confusionMatrix(pdataF, df$quality)
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction bad good
##       bad  220  593
##       good 524  262
##                                          
##                Accuracy : 0.3014         
##                  95% CI : (0.279, 0.3246)
##     No Information Rate : 0.5347         
##     P-Value [Acc > NIR] : 1.00000        
##                                          
##                   Kappa : -0.3955        
##                                          
##  Mcnemar's Test P-Value : 0.04189        
##                                          
##             Sensitivity : 0.2957         
##             Specificity : 0.3064         
##          Pos Pred Value : 0.2706         
##          Neg Pred Value : 0.3333         
##              Prevalence : 0.4653         
##          Detection Rate : 0.1376         
##    Detection Prevalence : 0.5084         
##       Balanced Accuracy : 0.3011         
##                                          
##        'Positive' Class : bad            
## 
# From pROC
roc(df$quality,logistic$fitted.values,plot=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases
## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     plot = TRUE)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 0.7792
par(pty = "s")
roc(df$quality,logistic$fitted.values,plot=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     plot = TRUE)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 0.7792
## NOTE: By default, roc() uses specificity on the x-axis and the values range
## from 1 to 0. This makes the graph look like what we would expect, but the
## x-axis itself might induce a headache. To use 1-specificity (i.e. the
## False Positive Rate) on the x-axis, set "legacy.axes" to TRUE.
roc(df$quality,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 0.7792
roc(df$quality,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage")
## Setting levels: control = bad, case = good
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage")
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 0.7792
roc(df$quality,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases
## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 0.7792
roc(df$quality,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 0.7792
## If we want to find out the optimal threshold we can store the
## data used to make the ROC graph in a variable...
roc.info <- roc(df$quality, logistic$fitted.values, legacy.axes=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases
str(roc.info)
## List of 15
##  $ percent           : logi FALSE
##  $ sensitivities     : num [1:890] 1 1 1 1 1 ...
##  $ specificities     : num [1:890] 0 0.00134 0.00269 0.00403 0.00538 ...
##  $ thresholds        : num [1:890] -Inf 0.123 0.135 0.144 0.148 ...
##  $ direction         : chr "<"
##  $ cases             : Named num [1:855] 0.352 0.333 0.279 0.639 0.526 ...
##   ..- attr(*, "names")= chr [1:855] "4" "8" "9" "17" ...
##  $ controls          : Named num [1:744] 0.254 0.415 0.396 0.254 0.254 ...
##   ..- attr(*, "names")= chr [1:744] "1" "2" "3" "5" ...
##  $ fun.sesp          :function (thresholds, controls, cases, direction)  
##  $ auc               : 'auc' num 0.779
##   ..- attr(*, "partial.auc")= logi FALSE
##   ..- attr(*, "percent")= logi FALSE
##   ..- attr(*, "roc")=List of 15
##   .. ..$ percent           : logi FALSE
##   .. ..$ sensitivities     : num [1:890] 1 1 1 1 1 ...
##   .. ..$ specificities     : num [1:890] 0 0.00134 0.00269 0.00403 0.00538 ...
##   .. ..$ thresholds        : num [1:890] -Inf 0.123 0.135 0.144 0.148 ...
##   .. ..$ direction         : chr "<"
##   .. ..$ cases             : Named num [1:855] 0.352 0.333 0.279 0.639 0.526 ...
##   .. .. ..- attr(*, "names")= chr [1:855] "4" "8" "9" "17" ...
##   .. ..$ controls          : Named num [1:744] 0.254 0.415 0.396 0.254 0.254 ...
##   .. .. ..- attr(*, "names")= chr [1:744] "1" "2" "3" "5" ...
##   .. ..$ fun.sesp          :function (thresholds, controls, cases, direction)  
##   .. ..$ auc               : 'auc' num 0.779
##   .. .. ..- attr(*, "partial.auc")= logi FALSE
##   .. .. ..- attr(*, "percent")= logi FALSE
##   .. .. ..- attr(*, "roc")=List of 8
##   .. .. .. ..$ percent      : logi FALSE
##   .. .. .. ..$ sensitivities: num [1:890] 1 1 1 1 1 ...
##   .. .. .. ..$ specificities: num [1:890] 0 0.00134 0.00269 0.00403 0.00538 ...
##   .. .. .. ..$ thresholds   : num [1:890] -Inf 0.123 0.135 0.144 0.148 ...
##   .. .. .. ..$ direction    : chr "<"
##   .. .. .. ..$ cases        : Named num [1:855] 0.352 0.333 0.279 0.639 0.526 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:855] "4" "8" "9" "17" ...
##   .. .. .. ..$ controls     : Named num [1:744] 0.254 0.415 0.396 0.254 0.254 ...
##   .. .. .. .. ..- attr(*, "names")= chr [1:744] "1" "2" "3" "5" ...
##   .. .. .. ..$ fun.sesp     :function (thresholds, controls, cases, direction)  
##   .. .. .. ..- attr(*, "class")= chr "roc"
##   .. ..$ call              : language roc.default(response = df$quality, predictor = logistic$fitted.values,      legacy.axes = TRUE)
##   .. ..$ original.predictor: Named num [1:1599] 0.254 0.415 0.396 0.352 0.254 ...
##   .. .. ..- attr(*, "names")= chr [1:1599] "1" "2" "3" "4" ...
##   .. ..$ original.response : Factor w/ 2 levels "bad","good": 1 1 1 2 1 1 1 2 2 1 ...
##   .. ..$ predictor         : Named num [1:1599] 0.254 0.415 0.396 0.352 0.254 ...
##   .. .. ..- attr(*, "names")= chr [1:1599] "1" "2" "3" "4" ...
##   .. ..$ response          : Factor w/ 2 levels "bad","good": 1 1 1 2 1 1 1 2 2 1 ...
##   .. ..$ levels            : chr [1:2] "bad" "good"
##   .. ..- attr(*, "class")= chr "roc"
##  $ call              : language roc.default(response = df$quality, predictor = logistic$fitted.values,      legacy.axes = TRUE)
##  $ original.predictor: Named num [1:1599] 0.254 0.415 0.396 0.352 0.254 ...
##   ..- attr(*, "names")= chr [1:1599] "1" "2" "3" "4" ...
##  $ original.response : Factor w/ 2 levels "bad","good": 1 1 1 2 1 1 1 2 2 1 ...
##  $ predictor         : Named num [1:1599] 0.254 0.415 0.396 0.352 0.254 ...
##   ..- attr(*, "names")= chr [1:1599] "1" "2" "3" "4" ...
##  $ response          : Factor w/ 2 levels "bad","good": 1 1 1 2 1 1 1 2 2 1 ...
##  $ levels            : chr [1:2] "bad" "good"
##  - attr(*, "class")= chr "roc"
## tpp = true positive percentage
## fpp = false positive precentage
roc.df <- data.frame(tpp=roc.info$sensitivities*100, fpp=(1 - roc.info$specificities)*100,thresholds=roc.info$thresholds)

head(roc.df) 
##         tpp       fpp thresholds
## 1 100.00000 100.00000       -Inf
## 2 100.00000  99.86559  0.1228900
## 3 100.00000  99.73118  0.1351202
## 4 100.00000  99.59677  0.1443528
## 5 100.00000  99.46237  0.1477965
## 6  99.88304  99.46237  0.1518881
## head() will show us the values for the upper right-hand corner of the ROC graph, when the threshold is so low
## (negative infinity) that every single sample is called "obese".
## Thus TPP = 100% and FPP = 100%
tail(roc.df) 
##           tpp       fpp thresholds
## 885 0.8187135 0.1344086  0.9845381
## 886 0.5847953 0.1344086  0.9850454
## 887 0.4678363 0.1344086  0.9859803
## 888 0.1169591 0.1344086  0.9872237
## 889 0.0000000 0.1344086  0.9915600
## 890 0.0000000 0.0000000        Inf
## tail() will show us the values for the lower left-hand corner
## of the ROC graph, when the threshold is so high (infinity)
## that every single sample is called "not obese".
## Thus, TPP = 0% and FPP = 0%
## now let's look at the thresholds between TPP 60% and 80%
roc.df[roc.df$tpp > 60 & roc.df$tpp < 80,]
##          tpp      fpp thresholds
## 252 79.64912 38.03763  0.4133210
## 253 79.41520 38.03763  0.4144707
## 254 79.29825 37.90323  0.4167733
## 255 79.29825 37.76882  0.4184852
## 256 79.18129 37.76882  0.4190458
## 257 79.06433 37.63441  0.4198151
## 258 78.94737 37.36559  0.4203923
## 259 78.94737 37.23118  0.4215477
## 260 78.83041 37.09677  0.4232819
## 261 78.71345 37.09677  0.4250019
## 262 78.71345 36.96237  0.4261601
## 263 78.71345 36.82796  0.4265465
## 264 78.71345 36.69355  0.4271099
## 265 78.59649 36.69355  0.4282700
## 266 78.59649 36.55914  0.4294306
## 267 78.59649 36.29032  0.4302049
## 268 78.47953 36.29032  0.4309795
## 269 78.36257 36.29032  0.4319319
## 270 78.36257 36.15591  0.4328848
## 271 78.12865 36.15591  0.4336606
## 272 78.12865 36.02151  0.4344367
## 273 78.01170 35.75269  0.4357794
## 274 77.89474 35.75269  0.4375116
## 275 77.66082 35.75269  0.4386780
## 276 77.54386 35.75269  0.4392779
## 277 77.54386 35.61828  0.4396670
## 278 77.30994 35.61828  0.4402345
## 279 77.19298 35.48387  0.4410131
## 280 77.19298 35.34946  0.4417921
## 281 77.07602 35.34946  0.4425714
## 282 76.95906 35.34946  0.4435295
## 283 76.84211 35.21505  0.4448781
## 284 76.72515 35.21505  0.4460486
## 285 76.49123 35.21505  0.4476107
## 286 76.37427 35.21505  0.4491732
## 287 76.14035 35.21505  0.4501341
## 288 76.02339 35.08065  0.4509161
## 289 75.90643 35.08065  0.4513072
## 290 75.78947 34.94624  0.4518776
## 291 75.67251 34.40860  0.4526602
## 292 75.55556 34.40860  0.4534431
## 293 75.08772 34.40860  0.4542262
## 294 75.08772 34.27419  0.4548081
## 295 74.85380 34.27419  0.4553792
## 296 74.85380 34.00538  0.4559724
## 297 74.85380 33.60215  0.4563643
## 298 74.73684 33.60215  0.4569358
## 299 74.61988 33.60215  0.4577198
## 300 74.61988 33.46774  0.4585041
## 301 74.61988 33.33333  0.4592886
## 302 74.61988 33.06452  0.4604657
## 303 74.38596 32.79570  0.4618230
## 304 74.26901 32.52688  0.4633939
## 305 74.03509 32.52688  0.4645723
## 306 73.80117 32.25806  0.4651453
## 307 73.33333 32.25806  0.4659313
## 308 73.33333 32.12366  0.4675041
## 309 73.33333 31.98925  0.4696509
## 310 73.33333 31.85484  0.4710116
## 311 73.21637 31.58602  0.4717988
## 312 73.21637 31.45161  0.4737678
## 313 73.09942 31.45161  0.4755235
## 314 73.09942 31.31720  0.4764920
## 315 73.09942 31.18280  0.4776741
## 316 72.98246 31.18280  0.4784624
## 317 72.98246 31.04839  0.4792509
## 318 72.63158 31.04839  0.4802199
## 319 72.51462 31.04839  0.4815835
## 320 72.51462 30.91398  0.4827667
## 321 72.28070 30.77957  0.4835556
## 322 72.16374 30.77957  0.4843446
## 323 71.69591 30.77957  0.4851337
## 324 71.57895 30.77957  0.4861368
## 325 71.34503 30.77957  0.4876988
## 326 71.22807 30.77957  0.4892443
## 327 71.11111 30.77957  0.4900504
## 328 70.99415 30.51075  0.4904452
## 329 70.64327 30.37634  0.4910207
## 330 70.52632 30.37634  0.4922051
## 331 70.52632 30.24194  0.4933896
## 332 70.29240 30.24194  0.4947550
## 333 70.17544 30.10753  0.4961204
## 334 70.05848 29.97312  0.4967294
## 335 69.94152 29.97312  0.4971243
## 336 69.94152 29.70430  0.4977000
## 337 69.82456 29.56989  0.4984898
## 338 69.70760 29.56989  0.4992796
## 339 69.35673 29.56989  0.5010401
## 340 68.88889 29.43548  0.5028005
## 341 68.77193 29.30108  0.5034095
## 342 68.77193 29.03226  0.5041993
## 343 68.77193 28.76344  0.5051698
## 344 68.65497 28.76344  0.5057455
## 345 68.65497 28.49462  0.5061404
## 346 68.53801 28.49462  0.5067493
## 347 68.53801 28.22581  0.5075389
## 348 68.42105 28.22581  0.5089041
## 349 68.30409 28.22581  0.5102692
## 350 68.30409 28.09140  0.5110586
## 351 68.18713 27.95699  0.5116673
## 352 68.18713 27.82258  0.5122427
## 353 68.18713 27.68817  0.5141826
## 354 67.95322 27.55376  0.5161554
## 355 67.71930 27.28495  0.5169444
## 356 67.60234 27.15054  0.5179470
## 357 67.60234 27.01613  0.5197049
## 358 67.60234 26.74731  0.5216430
## 359 67.48538 26.61290  0.5228254
## 360 67.48538 26.34409  0.5246149
## 361 67.36842 26.20968  0.5264041
## 362 67.36842 26.07527  0.5269782
## 363 67.36842 25.94086  0.5281261
## 364 67.01754 25.80645  0.5294872
## 365 66.78363 25.67204  0.5306676
## 366 66.78363 25.53763  0.5318478
## 367 66.66667 25.53763  0.5326343
## 368 66.43275 25.53763  0.5332076
## 369 66.31579 25.53763  0.5338138
## 370 66.31579 25.40323  0.5353857
## 371 66.19883 25.13441  0.5373169
## 372 66.19883 25.00000  0.5386746
## 373 66.19883 24.73118  0.5400317
## 374 65.96491 24.73118  0.5410290
## 375 65.84795 24.73118  0.5414213
## 376 65.73099 24.73118  0.5418134
## 377 65.73099 24.59677  0.5422055
## 378 65.61404 24.46237  0.5427771
## 379 65.02924 24.19355  0.5435611
## 380 64.91228 24.05914  0.5443448
## 381 64.79532 23.79032  0.5449489
## 382 64.79532 23.65591  0.5453406
## 383 64.67836 23.65591  0.5459115
## 384 64.44444 23.65591  0.5464824
## 385 64.21053 23.65591  0.5474444
## 386 64.09357 23.52151  0.5486183
## 387 63.74269 23.38710  0.5494005
## 388 63.50877 23.38710  0.5519237
## 389 63.50877 23.25269  0.5556159
## 390 63.39181 23.25269  0.5573872
## 391 63.39181 22.98387  0.5579881
## 392 63.39181 22.84946  0.5585560
## 393 63.39181 22.71505  0.5591238
## 394 63.27485 22.71505  0.5596914
## 395 63.27485 22.44624  0.5600807
## 396 63.27485 22.17742  0.5604698
## 397 63.15789 22.17742  0.5614259
## 398 62.92398 22.04301  0.5625926
## 399 62.92398 21.90860  0.5635804
## 400 62.92398 21.77419  0.5643574
## 401 62.69006 21.77419  0.5651012
## 402 62.69006 21.63978  0.5660552
## 403 62.69006 21.50538  0.5668311
## 404 62.69006 21.37097  0.5676066
## 405 62.22222 21.37097  0.5683819
## 406 62.22222 21.23656  0.5691567
## 407 62.10526 21.23656  0.5704955
## 408 62.10526 21.10215  0.5718336
## 409 62.10526 20.96774  0.5726069
## 410 61.98830 20.96774  0.5737661
## 411 61.98830 20.83333  0.5772209
## 412 61.87135 20.83333  0.5799193
## 413 61.63743 20.83333  0.5801117
## 414 61.28655 20.69892  0.5804964
## 415 61.16959 20.69892  0.5812655
## 416 61.16959 20.43011  0.5835373
## 417 61.05263 20.43011  0.5852809
## 418 61.05263 20.16129  0.5860474
## 419 60.93567 20.16129  0.5875472
## 420 60.81871 20.16129  0.5892846
## 421 60.81871 20.02688  0.5904314
## 422 60.70175 20.02688  0.5908134
## 423 60.70175 19.89247  0.5914021
## 424 60.58480 19.89247  0.5921332
## 425 60.58480 19.75806  0.5926893
## 426 60.46784 19.75806  0.5938325
## 427 60.35088 19.48925  0.5955300
## 428 60.23392 19.48925  0.5966711
## 429 60.11696 19.48925  0.5972253
## 430 60.11696 19.35484  0.5974312
## 431 60.11696 19.22043  0.5985699
## 432 60.11696 19.08602  0.6000558
roc(df$quality,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 77.92%
roc(df$quality,logistic$fitted.values,plot=TRUE, legacy.axes=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, percent=TRUE, print.auc=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases

## 
## Call:
## roc.default(response = df$quality, predictor = logistic$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4,     print.auc = TRUE)
## 
## Data: logistic$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 77.92%

`

# Lets do two roc plots to understand which model is better
roc(df$quality, logistic_simple$fitted.values, plot=TRUE, legacy.axes=TRUE, percent=TRUE, xlab="False Positive Percentage", ylab="True Postive Percentage", col="#377eb8", lwd=4, print.auc=TRUE)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases
## 
## Call:
## roc.default(response = df$quality, predictor = logistic_simple$fitted.values,     percent = TRUE, plot = TRUE, legacy.axes = TRUE, xlab = "False Positive Percentage",     ylab = "True Postive Percentage", col = "#377eb8", lwd = 4,     print.auc = TRUE)
## 
## Data: logistic_simple$fitted.values in 744 controls (df$quality bad) < 855 cases (df$quality good).
## Area under the curve: 79.55%
# Lets add the other graph
plot.roc(df$quality, logistic$fitted.values, percent=TRUE, col="#4daf4a", lwd=4, print.auc=TRUE, add=TRUE, print.auc.y=40)
## Setting levels: control = bad, case = good
## Setting direction: controls < cases
legend("bottomright", legend=c("Simple", "Non Simple"), col=c("#377eb8", "#4daf4a"), lwd=4) 

library(readr)
library(MASS)
## 
## Attaching package: 'MASS'
## The following object is masked from 'package:dplyr':
## 
##     select
library(ggplot2)
library(memisc)
## Warning: package 'memisc' was built under R version 4.3.3
## 
## Attaching package: 'memisc'
## The following object is masked from 'package:magrittr':
## 
##     %$%
## The following object is masked from 'package:car':
## 
##     recode
## The following objects are masked from 'package:lubridate':
## 
##     as.interval, is.interval
## The following object is masked from 'package:purrr':
## 
##     %@%
## The following object is masked from 'package:tibble':
## 
##     view
## The following objects are masked from 'package:dplyr':
## 
##     collect, recode, rename, syms
## The following object is masked from 'package:ggplot2':
## 
##     syms
## The following objects are masked from 'package:stats':
## 
##     contr.sum, contr.treatment, contrasts
## The following object is masked from 'package:base':
## 
##     as.array
library(ROCR)
## Warning: package 'ROCR' was built under R version 4.3.3
library(dplyr)
library(klaR)
## Warning: package 'klaR' was built under R version 4.3.3
# Read the CSV file
df <- read_csv("C:/Rutgers/Subjects/Spring Sem/Multivariate Analysis/Data/wine.csv")
## Rows: 1599 Columns: 12
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): quality
## dbl (11): fixed acidity, volatile acidity, citric acid, residual sugar, chlo...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
#dataframe
df
## # A tibble: 1,599 × 12
##    `fixed acidity` `volatile acidity` `citric acid` `residual sugar` chlorides
##              <dbl>              <dbl>         <dbl>            <dbl>     <dbl>
##  1             7.4               0.7           0                 1.9     0.076
##  2             7.8               0.88          0                 2.6     0.098
##  3             7.8               0.76          0.04              2.3     0.092
##  4            11.2               0.28          0.56              1.9     0.075
##  5             7.4               0.7           0                 1.9     0.076
##  6             7.4               0.66          0                 1.8     0.075
##  7             7.9               0.6           0.06              1.6     0.069
##  8             7.3               0.65          0                 1.2     0.065
##  9             7.8               0.58          0.02              2       0.073
## 10             7.5               0.5           0.36              6.1     0.071
## # ℹ 1,589 more rows
## # ℹ 7 more variables: `free sulfur dioxide` <dbl>,
## #   `total sulfur dioxide` <dbl>, density <dbl>, pH <dbl>, sulphates <dbl>,
## #   alcohol <dbl>, quality <chr>
df1 <- as.matrix(df[,c(1:11)])
df1
##         fixed acidity volatile acidity citric acid residual sugar chlorides
##    [1,]           7.4            0.700        0.00           1.90     0.076
##    [2,]           7.8            0.880        0.00           2.60     0.098
##    [3,]           7.8            0.760        0.04           2.30     0.092
##    [4,]          11.2            0.280        0.56           1.90     0.075
##    [5,]           7.4            0.700        0.00           1.90     0.076
##    [6,]           7.4            0.660        0.00           1.80     0.075
##    [7,]           7.9            0.600        0.06           1.60     0.069
##    [8,]           7.3            0.650        0.00           1.20     0.065
##    [9,]           7.8            0.580        0.02           2.00     0.073
##   [10,]           7.5            0.500        0.36           6.10     0.071
##   [11,]           6.7            0.580        0.08           1.80     0.097
##   [12,]           7.5            0.500        0.36           6.10     0.071
##   [13,]           5.6            0.615        0.00           1.60     0.089
##   [14,]           7.8            0.610        0.29           1.60     0.114
##   [15,]           8.9            0.620        0.18           3.80     0.176
##   [16,]           8.9            0.620        0.19           3.90     0.170
##   [17,]           8.5            0.280        0.56           1.80     0.092
##   [18,]           8.1            0.560        0.28           1.70     0.368
##   [19,]           7.4            0.590        0.08           4.40     0.086
##   [20,]           7.9            0.320        0.51           1.80     0.341
##   [21,]           8.9            0.220        0.48           1.80     0.077
##   [22,]           7.6            0.390        0.31           2.30     0.082
##   [23,]           7.9            0.430        0.21           1.60     0.106
##   [24,]           8.5            0.490        0.11           2.30     0.084
##   [25,]           6.9            0.400        0.14           2.40     0.085
##   [26,]           6.3            0.390        0.16           1.40     0.080
##   [27,]           7.6            0.410        0.24           1.80     0.080
##   [28,]           7.9            0.430        0.21           1.60     0.106
##   [29,]           7.1            0.710        0.00           1.90     0.080
##   [30,]           7.8            0.645        0.00           2.00     0.082
##   [31,]           6.7            0.675        0.07           2.40     0.089
##   [32,]           6.9            0.685        0.00           2.50     0.105
##   [33,]           8.3            0.655        0.12           2.30     0.083
##   [34,]           6.9            0.605        0.12          10.70     0.073
##   [35,]           5.2            0.320        0.25           1.80     0.103
##   [36,]           7.8            0.645        0.00           5.50     0.086
##   [37,]           7.8            0.600        0.14           2.40     0.086
##   [38,]           8.1            0.380        0.28           2.10     0.066
##   [39,]           5.7            1.130        0.09           1.50     0.172
##   [40,]           7.3            0.450        0.36           5.90     0.074
##   [41,]           7.3            0.450        0.36           5.90     0.074
##   [42,]           8.8            0.610        0.30           2.80     0.088
##   [43,]           7.5            0.490        0.20           2.60     0.332
##   [44,]           8.1            0.660        0.22           2.20     0.069
##   [45,]           6.8            0.670        0.02           1.80     0.050
##   [46,]           4.6            0.520        0.15           2.10     0.054
##   [47,]           7.7            0.935        0.43           2.20     0.114
##   [48,]           8.7            0.290        0.52           1.60     0.113
##   [49,]           6.4            0.400        0.23           1.60     0.066
##   [50,]           5.6            0.310        0.37           1.40     0.074
##   [51,]           8.8            0.660        0.26           1.70     0.074
##   [52,]           6.6            0.520        0.04           2.20     0.069
##   [53,]           6.6            0.500        0.04           2.10     0.068
##   [54,]           8.6            0.380        0.36           3.00     0.081
##   [55,]           7.6            0.510        0.15           2.80     0.110
##   [56,]           7.7            0.620        0.04           3.80     0.084
##   [57,]          10.2            0.420        0.57           3.40     0.070
##   [58,]           7.5            0.630        0.12           5.10     0.111
##   [59,]           7.8            0.590        0.18           2.30     0.076
##   [60,]           7.3            0.390        0.31           2.40     0.074
##   [61,]           8.8            0.400        0.40           2.20     0.079
##   [62,]           7.7            0.690        0.49           1.80     0.115
##   [63,]           7.5            0.520        0.16           1.90     0.085
##   [64,]           7.0            0.735        0.05           2.00     0.081
##   [65,]           7.2            0.725        0.05           4.65     0.086
##   [66,]           7.2            0.725        0.05           4.65     0.086
##   [67,]           7.5            0.520        0.11           1.50     0.079
##   [68,]           6.6            0.705        0.07           1.60     0.076
##   [69,]           9.3            0.320        0.57           2.00     0.074
##   [70,]           8.0            0.705        0.05           1.90     0.074
##   [71,]           7.7            0.630        0.08           1.90     0.076
##   [72,]           7.7            0.670        0.23           2.10     0.088
##   [73,]           7.7            0.690        0.22           1.90     0.084
##   [74,]           8.3            0.675        0.26           2.10     0.084
##   [75,]           9.7            0.320        0.54           2.50     0.094
##   [76,]           8.8            0.410        0.64           2.20     0.093
##   [77,]           8.8            0.410        0.64           2.20     0.093
##   [78,]           6.8            0.785        0.00           2.40     0.104
##   [79,]           6.7            0.750        0.12           2.00     0.086
##   [80,]           8.3            0.625        0.20           1.50     0.080
##   [81,]           6.2            0.450        0.20           1.60     0.069
##   [82,]           7.8            0.430        0.70           1.90     0.464
##   [83,]           7.4            0.500        0.47           2.00     0.086
##   [84,]           7.3            0.670        0.26           1.80     0.401
##   [85,]           6.3            0.300        0.48           1.80     0.069
##   [86,]           6.9            0.550        0.15           2.20     0.076
##   [87,]           8.6            0.490        0.28           1.90     0.110
##   [88,]           7.7            0.490        0.26           1.90     0.062
##   [89,]           9.3            0.390        0.44           2.10     0.107
##   [90,]           7.0            0.620        0.08           1.80     0.076
##   [91,]           7.9            0.520        0.26           1.90     0.079
##   [92,]           8.6            0.490        0.28           1.90     0.110
##   [93,]           8.6            0.490        0.29           2.00     0.110
##   [94,]           7.7            0.490        0.26           1.90     0.062
##   [95,]           5.0            1.020        0.04           1.40     0.045
##   [96,]           4.7            0.600        0.17           2.30     0.058
##   [97,]           6.8            0.775        0.00           3.00     0.102
##   [98,]           7.0            0.500        0.25           2.00     0.070
##   [99,]           7.6            0.900        0.06           2.50     0.079
##  [100,]           8.1            0.545        0.18           1.90     0.080
##  [101,]           8.3            0.610        0.30           2.10     0.084
##  [102,]           7.8            0.500        0.30           1.90     0.075
##  [103,]           8.1            0.545        0.18           1.90     0.080
##  [104,]           8.1            0.575        0.22           2.10     0.077
##  [105,]           7.2            0.490        0.24           2.20     0.070
##  [106,]           8.1            0.575        0.22           2.10     0.077
##  [107,]           7.8            0.410        0.68           1.70     0.467
##  [108,]           6.2            0.630        0.31           1.70     0.088
##  [109,]           8.0            0.330        0.53           2.50     0.091
##  [110,]           8.1            0.785        0.52           2.00     0.122
##  [111,]           7.8            0.560        0.19           1.80     0.104
##  [112,]           8.4            0.620        0.09           2.20     0.084
##  [113,]           8.4            0.600        0.10           2.20     0.085
##  [114,]          10.1            0.310        0.44           2.30     0.080
##  [115,]           7.8            0.560        0.19           1.80     0.104
##  [116,]           9.4            0.400        0.31           2.20     0.090
##  [117,]           8.3            0.540        0.28           1.90     0.077
##  [118,]           7.8            0.560        0.12           2.00     0.082
##  [119,]           8.8            0.550        0.04           2.20     0.119
##  [120,]           7.0            0.690        0.08           1.80     0.097
##  [121,]           7.3            1.070        0.09           1.70     0.178
##  [122,]           8.8            0.550        0.04           2.20     0.119
##  [123,]           7.3            0.695        0.00           2.50     0.075
##  [124,]           8.0            0.710        0.00           2.60     0.080
##  [125,]           7.8            0.500        0.17           1.60     0.082
##  [126,]           9.0            0.620        0.04           1.90     0.146
##  [127,]           8.2            1.330        0.00           1.70     0.081
##  [128,]           8.1            1.330        0.00           1.80     0.082
##  [129,]           8.0            0.590        0.16           1.80     0.065
##  [130,]           6.1            0.380        0.15           1.80     0.072
##  [131,]           8.0            0.745        0.56           2.00     0.118
##  [132,]           5.6            0.500        0.09           2.30     0.049
##  [133,]           5.6            0.500        0.09           2.30     0.049
##  [134,]           6.6            0.500        0.01           1.50     0.060
##  [135,]           7.9            1.040        0.05           2.20     0.084
##  [136,]           8.4            0.745        0.11           1.90     0.090
##  [137,]           8.3            0.715        0.15           1.80     0.089
##  [138,]           7.2            0.415        0.36           2.00     0.081
##  [139,]           7.8            0.560        0.19           2.10     0.081
##  [140,]           7.8            0.560        0.19           2.00     0.081
##  [141,]           8.4            0.745        0.11           1.90     0.090
##  [142,]           8.3            0.715        0.15           1.80     0.089
##  [143,]           5.2            0.340        0.00           1.80     0.050
##  [144,]           6.3            0.390        0.08           1.70     0.066
##  [145,]           5.2            0.340        0.00           1.80     0.050
##  [146,]           8.1            0.670        0.55           1.80     0.117
##  [147,]           5.8            0.680        0.02           1.80     0.087
##  [148,]           7.6            0.490        0.26           1.60     0.236
##  [149,]           6.9            0.490        0.10           2.30     0.074
##  [150,]           8.2            0.400        0.44           2.80     0.089
##  [151,]           7.3            0.330        0.47           2.10     0.077
##  [152,]           9.2            0.520        1.00           3.40     0.610
##  [153,]           7.5            0.600        0.03           1.80     0.095
##  [154,]           7.5            0.600        0.03           1.80     0.095
##  [155,]           7.1            0.430        0.42           5.50     0.070
##  [156,]           7.1            0.430        0.42           5.50     0.071
##  [157,]           7.1            0.430        0.42           5.50     0.070
##  [158,]           7.1            0.430        0.42           5.50     0.071
##  [159,]           7.1            0.680        0.00           2.20     0.073
##  [160,]           6.8            0.600        0.18           1.90     0.079
##  [161,]           7.6            0.950        0.03           2.00     0.090
##  [162,]           7.6            0.680        0.02           1.30     0.072
##  [163,]           7.8            0.530        0.04           1.70     0.076
##  [164,]           7.4            0.600        0.26           7.30     0.070
##  [165,]           7.3            0.590        0.26           7.20     0.070
##  [166,]           7.8            0.630        0.48           1.70     0.100
##  [167,]           6.8            0.640        0.10           2.10     0.085
##  [168,]           7.3            0.550        0.03           1.60     0.072
##  [169,]           6.8            0.630        0.07           2.10     0.089
##  [170,]           7.5            0.705        0.24           1.80     0.360
##  [171,]           7.9            0.885        0.03           1.80     0.058
##  [172,]           8.0            0.420        0.17           2.00     0.073
##  [173,]           8.0            0.420        0.17           2.00     0.073
##  [174,]           7.4            0.620        0.05           1.90     0.068
##  [175,]           7.3            0.380        0.21           2.00     0.080
##  [176,]           6.9            0.500        0.04           1.50     0.085
##  [177,]           7.3            0.380        0.21           2.00     0.080
##  [178,]           7.5            0.520        0.42           2.30     0.087
##  [179,]           7.0            0.805        0.00           2.50     0.068
##  [180,]           8.8            0.610        0.14           2.40     0.067
##  [181,]           8.8            0.610        0.14           2.40     0.067
##  [182,]           8.9            0.610        0.49           2.00     0.270
##  [183,]           7.2            0.730        0.02           2.50     0.076
##  [184,]           6.8            0.610        0.20           1.80     0.077
##  [185,]           6.7            0.620        0.21           1.90     0.079
##  [186,]           8.9            0.310        0.57           2.00     0.111
##  [187,]           7.4            0.390        0.48           2.00     0.082
##  [188,]           7.7            0.705        0.10           2.60     0.084
##  [189,]           7.9            0.500        0.33           2.00     0.084
##  [190,]           7.9            0.490        0.32           1.90     0.082
##  [191,]           8.2            0.500        0.35           2.90     0.077
##  [192,]           6.4            0.370        0.25           1.90     0.074
##  [193,]           6.8            0.630        0.12           3.80     0.099
##  [194,]           7.6            0.550        0.21           2.20     0.071
##  [195,]           7.6            0.550        0.21           2.20     0.071
##  [196,]           7.8            0.590        0.33           2.00     0.074
##  [197,]           7.3            0.580        0.30           2.40     0.074
##  [198,]          11.5            0.300        0.60           2.00     0.067
##  [199,]           5.4            0.835        0.08           1.20     0.046
##  [200,]           6.9            1.090        0.06           2.10     0.061
##  [201,]           9.6            0.320        0.47           1.40     0.056
##  [202,]           8.8            0.370        0.48           2.10     0.097
##  [203,]           6.8            0.500        0.11           1.50     0.075
##  [204,]           7.0            0.420        0.35           1.60     0.088
##  [205,]           7.0            0.430        0.36           1.60     0.089
##  [206,]          12.8            0.300        0.74           2.60     0.095
##  [207,]          12.8            0.300        0.74           2.60     0.095
##  [208,]           7.8            0.570        0.31           1.80     0.069
##  [209,]           7.8            0.440        0.28           2.70     0.100
##  [210,]          11.0            0.300        0.58           2.10     0.054
##  [211,]           9.7            0.530        0.60           2.00     0.039
##  [212,]           8.0            0.725        0.24           2.80     0.083
##  [213,]          11.6            0.440        0.64           2.10     0.059
##  [214,]           8.2            0.570        0.26           2.20     0.060
##  [215,]           7.8            0.735        0.08           2.40     0.092
##  [216,]           7.0            0.490        0.49           5.60     0.060
##  [217,]           8.7            0.625        0.16           2.00     0.101
##  [218,]           8.1            0.725        0.22           2.20     0.072
##  [219,]           7.5            0.490        0.19           1.90     0.076
##  [220,]           7.8            0.530        0.33           2.40     0.080
##  [221,]           7.8            0.340        0.37           2.00     0.082
##  [222,]           7.4            0.530        0.26           2.00     0.101
##  [223,]           6.8            0.610        0.04           1.50     0.057
##  [224,]           8.6            0.645        0.25           2.00     0.083
##  [225,]           8.4            0.635        0.36           2.00     0.089
##  [226,]           7.7            0.430        0.25           2.60     0.073
##  [227,]           8.9            0.590        0.50           2.00     0.337
##  [228,]           9.0            0.820        0.14           2.60     0.089
##  [229,]           7.7            0.430        0.25           2.60     0.073
##  [230,]           6.9            0.520        0.25           2.60     0.081
##  [231,]           5.2            0.480        0.04           1.60     0.054
##  [232,]           8.0            0.380        0.06           1.80     0.078
##  [233,]           8.5            0.370        0.20           2.80     0.090
##  [234,]           6.9            0.520        0.25           2.60     0.081
##  [235,]           8.2            1.000        0.09           2.30     0.065
##  [236,]           7.2            0.630        0.00           1.90     0.097
##  [237,]           7.2            0.630        0.00           1.90     0.097
##  [238,]           7.2            0.645        0.00           1.90     0.097
##  [239,]           7.2            0.630        0.00           1.90     0.097
##  [240,]           8.2            1.000        0.09           2.30     0.065
##  [241,]           8.9            0.635        0.37           1.70     0.263
##  [242,]          12.0            0.380        0.56           2.10     0.093
##  [243,]           7.7            0.580        0.10           1.80     0.102
##  [244,]          15.0            0.210        0.44           2.20     0.075
##  [245,]          15.0            0.210        0.44           2.20     0.075
##  [246,]           7.3            0.660        0.00           2.00     0.084
##  [247,]           7.1            0.680        0.07           1.90     0.075
##  [248,]           8.2            0.600        0.17           2.30     0.072
##  [249,]           7.7            0.530        0.06           1.70     0.074
##  [250,]           7.3            0.660        0.00           2.00     0.084
##  [251,]          10.8            0.320        0.44           1.60     0.063
##  [252,]           7.1            0.600        0.00           1.80     0.074
##  [253,]          11.1            0.350        0.48           3.10     0.090
##  [254,]           7.7            0.775        0.42           1.90     0.092
##  [255,]           7.1            0.600        0.00           1.80     0.074
##  [256,]           8.0            0.570        0.23           3.20     0.073
##  [257,]           9.4            0.340        0.37           2.20     0.075
##  [258,]           6.6            0.695        0.00           2.10     0.075
##  [259,]           7.7            0.410        0.76           1.80     0.611
##  [260,]          10.0            0.310        0.47           2.60     0.085
##  [261,]           7.9            0.330        0.23           1.70     0.077
##  [262,]           7.0            0.975        0.04           2.00     0.087
##  [263,]           8.0            0.520        0.03           1.70     0.070
##  [264,]           7.9            0.370        0.23           1.80     0.077
##  [265,]          12.5            0.560        0.49           2.40     0.064
##  [266,]          11.8            0.260        0.52           1.80     0.071
##  [267,]           8.1            0.870        0.00           3.30     0.096
##  [268,]           7.9            0.350        0.46           3.60     0.078
##  [269,]           6.9            0.540        0.04           3.00     0.077
##  [270,]          11.5            0.180        0.51           4.00     0.104
##  [271,]           7.9            0.545        0.06           4.00     0.087
##  [272,]          11.5            0.180        0.51           4.00     0.104
##  [273,]          10.9            0.370        0.58           4.00     0.071
##  [274,]           8.4            0.715        0.20           2.40     0.076
##  [275,]           7.5            0.650        0.18           7.00     0.088
##  [276,]           7.9            0.545        0.06           4.00     0.087
##  [277,]           6.9            0.540        0.04           3.00     0.077
##  [278,]          11.5            0.180        0.51           4.00     0.104
##  [279,]          10.3            0.320        0.45           6.40     0.073
##  [280,]           8.9            0.400        0.32           5.60     0.087
##  [281,]          11.4            0.260        0.44           3.60     0.071
##  [282,]           7.7            0.270        0.68           3.50     0.358
##  [283,]           7.6            0.520        0.12           3.00     0.067
##  [284,]           8.9            0.400        0.32           5.60     0.087
##  [285,]           9.9            0.590        0.07           3.40     0.102
##  [286,]           9.9            0.590        0.07           3.40     0.102
##  [287,]          12.0            0.450        0.55           2.00     0.073
##  [288,]           7.5            0.400        0.12           3.00     0.092
##  [289,]           8.7            0.520        0.09           2.50     0.091
##  [290,]          11.6            0.420        0.53           3.30     0.105
##  [291,]           8.7            0.520        0.09           2.50     0.091
##  [292,]          11.0            0.200        0.48           2.00     0.343
##  [293,]          10.4            0.550        0.23           2.70     0.091
##  [294,]           6.9            0.360        0.25           2.40     0.098
##  [295,]          13.3            0.340        0.52           3.20     0.094
##  [296,]          10.8            0.500        0.46           2.50     0.073
##  [297,]          10.6            0.830        0.37           2.60     0.086
##  [298,]           7.1            0.630        0.06           2.00     0.083
##  [299,]           7.2            0.650        0.02           2.30     0.094
##  [300,]           6.9            0.670        0.06           2.10     0.080
##  [301,]           7.5            0.530        0.06           2.60     0.086
##  [302,]          11.1            0.180        0.48           1.50     0.068
##  [303,]           8.3            0.705        0.12           2.60     0.092
##  [304,]           7.4            0.670        0.12           1.60     0.186
##  [305,]           8.4            0.650        0.60           2.10     0.112
##  [306,]          10.3            0.530        0.48           2.50     0.063
##  [307,]           7.6            0.620        0.32           2.20     0.082
##  [308,]          10.3            0.410        0.42           2.40     0.213
##  [309,]          10.3            0.430        0.44           2.40     0.214
##  [310,]           7.4            0.290        0.38           1.70     0.062
##  [311,]          10.3            0.530        0.48           2.50     0.063
##  [312,]           7.9            0.530        0.24           2.00     0.072
##  [313,]           9.0            0.460        0.31           2.80     0.093
##  [314,]           8.6            0.470        0.30           3.00     0.076
##  [315,]           7.4            0.360        0.29           2.60     0.087
##  [316,]           7.1            0.350        0.29           2.50     0.096
##  [317,]           9.6            0.560        0.23           3.40     0.102
##  [318,]           9.6            0.770        0.12           2.90     0.082
##  [319,]           9.8            0.660        0.39           3.20     0.083
##  [320,]           9.6            0.770        0.12           2.90     0.082
##  [321,]           9.8            0.660        0.39           3.20     0.083
##  [322,]           9.3            0.610        0.26           3.40     0.090
##  [323,]           7.8            0.620        0.05           2.30     0.079
##  [324,]          10.3            0.590        0.42           2.80     0.090
##  [325,]          10.0            0.490        0.20          11.00     0.071
##  [326,]          10.0            0.490        0.20          11.00     0.071
##  [327,]          11.6            0.530        0.66           3.65     0.121
##  [328,]          10.3            0.440        0.50           4.50     0.107
##  [329,]          13.4            0.270        0.62           2.60     0.082
##  [330,]          10.7            0.460        0.39           2.00     0.061
##  [331,]          10.2            0.360        0.64           2.90     0.122
##  [332,]          10.2            0.360        0.64           2.90     0.122
##  [333,]           8.0            0.580        0.28           3.20     0.066
##  [334,]           8.4            0.560        0.08           2.10     0.105
##  [335,]           7.9            0.650        0.01           2.50     0.078
##  [336,]          11.9            0.695        0.53           3.40     0.128
##  [337,]           8.9            0.430        0.45           1.90     0.052
##  [338,]           7.8            0.430        0.32           2.80     0.080
##  [339,]          12.4            0.490        0.58           3.00     0.103
##  [340,]          12.5            0.280        0.54           2.30     0.082
##  [341,]          12.2            0.340        0.50           2.40     0.066
##  [342,]          10.6            0.420        0.48           2.70     0.065
##  [343,]          10.9            0.390        0.47           1.80     0.118
##  [344,]          10.9            0.390        0.47           1.80     0.118
##  [345,]          11.9            0.570        0.50           2.60     0.082
##  [346,]           7.0            0.685        0.00           1.90     0.067
##  [347,]           6.6            0.815        0.02           2.70     0.072
##  [348,]          13.8            0.490        0.67           3.00     0.093
##  [349,]           9.6            0.560        0.31           2.80     0.089
##  [350,]           9.1            0.785        0.00           2.60     0.093
##  [351,]          10.7            0.670        0.22           2.70     0.107
##  [352,]           9.1            0.795        0.00           2.60     0.096
##  [353,]           7.7            0.665        0.00           2.40     0.090
##  [354,]          13.5            0.530        0.79           4.80     0.120
##  [355,]           6.1            0.210        0.40           1.40     0.066
##  [356,]           6.7            0.750        0.01           2.40     0.078
##  [357,]          11.5            0.410        0.52           3.00     0.080
##  [358,]          10.5            0.420        0.66           2.95     0.116
##  [359,]          11.9            0.430        0.66           3.10     0.109
##  [360,]          12.6            0.380        0.66           2.60     0.088
##  [361,]           8.2            0.700        0.23           2.00     0.099
##  [362,]           8.6            0.450        0.31           2.60     0.086
##  [363,]          11.9            0.580        0.66           2.50     0.072
##  [364,]          12.5            0.460        0.63           2.00     0.071
##  [365,]          12.8            0.615        0.66           5.80     0.083
##  [366,]          10.0            0.420        0.50           3.40     0.107
##  [367,]          12.8            0.615        0.66           5.80     0.083
##  [368,]          10.4            0.575        0.61           2.60     0.076
##  [369,]          10.3            0.340        0.52           2.80     0.159
##  [370,]           9.4            0.270        0.53           2.40     0.074
##  [371,]           6.9            0.765        0.02           2.30     0.063
##  [372,]           7.9            0.240        0.40           1.60     0.056
##  [373,]           9.1            0.280        0.48           1.80     0.067
##  [374,]           7.4            0.550        0.22           2.20     0.106
##  [375,]          14.0            0.410        0.63           3.80     0.089
##  [376,]          11.5            0.540        0.71           4.40     0.124
##  [377,]          11.5            0.450        0.50           3.00     0.078
##  [378,]           9.4            0.270        0.53           2.40     0.074
##  [379,]          11.4            0.625        0.66           6.20     0.088
##  [380,]           8.3            0.420        0.38           2.50     0.094
##  [381,]           8.3            0.260        0.42           2.00     0.080
##  [382,]          13.7            0.415        0.68           2.90     0.085
##  [383,]           8.3            0.260        0.42           2.00     0.080
##  [384,]           8.3            0.260        0.42           2.00     0.080
##  [385,]           7.7            0.510        0.28           2.10     0.087
##  [386,]           7.4            0.630        0.07           2.40     0.090
##  [387,]           7.8            0.540        0.26           2.00     0.088
##  [388,]           8.3            0.660        0.15           1.90     0.079
##  [389,]           7.8            0.460        0.26           1.90     0.088
##  [390,]           9.6            0.380        0.31           2.50     0.096
##  [391,]           5.6            0.850        0.05           1.40     0.045
##  [392,]          13.7            0.415        0.68           2.90     0.085
##  [393,]           9.5            0.370        0.52           2.00     0.082
##  [394,]           8.4            0.665        0.61           2.00     0.112
##  [395,]          12.7            0.600        0.65           2.30     0.063
##  [396,]          12.0            0.370        0.76           4.20     0.066
##  [397,]           6.6            0.735        0.02           7.90     0.122
##  [398,]          11.5            0.590        0.59           2.60     0.087
##  [399,]          11.5            0.590        0.59           2.60     0.087
##  [400,]           8.7            0.765        0.22           2.30     0.064
##  [401,]           6.6            0.735        0.02           7.90     0.122
##  [402,]           7.7            0.260        0.30           1.70     0.059
##  [403,]          12.2            0.480        0.54           2.60     0.085
##  [404,]          11.4            0.600        0.49           2.70     0.085
##  [405,]           7.7            0.690        0.05           2.70     0.075
##  [406,]           8.7            0.310        0.46           1.40     0.059
##  [407,]           9.8            0.440        0.47           2.50     0.063
##  [408,]          12.0            0.390        0.66           3.00     0.093
##  [409,]          10.4            0.340        0.58           3.70     0.174
##  [410,]          12.5            0.460        0.49           4.50     0.070
##  [411,]           9.0            0.430        0.34           2.50     0.080
##  [412,]           9.1            0.450        0.35           2.40     0.080
##  [413,]           7.1            0.735        0.16           1.90     0.100
##  [414,]           9.9            0.400        0.53           6.70     0.097
##  [415,]           8.8            0.520        0.34           2.70     0.087
##  [416,]           8.6            0.725        0.24           6.60     0.117
##  [417,]          10.6            0.480        0.64           2.20     0.111
##  [418,]           7.0            0.580        0.12           1.90     0.091
##  [419,]          11.9            0.380        0.51           2.00     0.121
##  [420,]           6.8            0.770        0.00           1.80     0.066
##  [421,]           9.5            0.560        0.33           2.40     0.089
##  [422,]           6.6            0.840        0.03           2.30     0.059
##  [423,]           7.7            0.960        0.20           2.00     0.047
##  [424,]          10.5            0.240        0.47           2.10     0.066
##  [425,]           7.7            0.960        0.20           2.00     0.047
##  [426,]           6.6            0.840        0.03           2.30     0.059
##  [427,]           6.4            0.670        0.08           2.10     0.045
##  [428,]           9.5            0.780        0.22           1.90     0.077
##  [429,]           9.1            0.520        0.33           1.30     0.070
##  [430,]          12.8            0.840        0.63           2.40     0.088
##  [431,]          10.5            0.240        0.47           2.10     0.066
##  [432,]           7.8            0.550        0.35           2.20     0.074
##  [433,]          11.9            0.370        0.69           2.30     0.078
##  [434,]          12.3            0.390        0.63           2.30     0.091
##  [435,]          10.4            0.410        0.55           3.20     0.076
##  [436,]          12.3            0.390        0.63           2.30     0.091
##  [437,]           8.0            0.670        0.30           2.00     0.060
##  [438,]          11.1            0.450        0.73           3.20     0.066
##  [439,]          10.4            0.410        0.55           3.20     0.076
##  [440,]           7.0            0.620        0.18           1.50     0.062
##  [441,]          12.6            0.310        0.72           2.20     0.072
##  [442,]          11.9            0.400        0.65           2.15     0.068
##  [443,]          15.6            0.685        0.76           3.70     0.100
##  [444,]          10.0            0.440        0.49           2.70     0.077
##  [445,]           5.3            0.570        0.01           1.70     0.054
##  [446,]           9.5            0.735        0.10           2.10     0.079
##  [447,]          12.5            0.380        0.60           2.60     0.081
##  [448,]           9.3            0.480        0.29           2.10     0.127
##  [449,]           8.6            0.530        0.22           2.00     0.100
##  [450,]          11.9            0.390        0.69           2.80     0.095
##  [451,]          11.9            0.390        0.69           2.80     0.095
##  [452,]           8.4            0.370        0.53           1.80     0.413
##  [453,]           6.8            0.560        0.03           1.70     0.084
##  [454,]          10.4            0.330        0.63           2.80     0.084
##  [455,]           7.0            0.230        0.40           1.60     0.063
##  [456,]          11.3            0.620        0.67           5.20     0.086
##  [457,]           8.9            0.590        0.39           2.30     0.095
##  [458,]           9.2            0.630        0.21           2.70     0.097
##  [459,]          10.4            0.330        0.63           2.80     0.084
##  [460,]          11.6            0.580        0.66           2.20     0.074
##  [461,]           9.2            0.430        0.52           2.30     0.083
##  [462,]           8.3            0.615        0.22           2.60     0.087
##  [463,]          11.0            0.260        0.68           2.55     0.085
##  [464,]           8.1            0.660        0.70           2.20     0.098
##  [465,]          11.5            0.315        0.54           2.10     0.084
##  [466,]          10.0            0.290        0.40           2.90     0.098
##  [467,]          10.3            0.500        0.42           2.00     0.069
##  [468,]           8.8            0.460        0.45           2.60     0.065
##  [469,]          11.4            0.360        0.69           2.10     0.090
##  [470,]           8.7            0.820        0.02           1.20     0.070
##  [471,]          13.0            0.320        0.65           2.60     0.093
##  [472,]           9.6            0.540        0.42           2.40     0.081
##  [473,]          12.5            0.370        0.55           2.60     0.083
##  [474,]           9.9            0.350        0.55           2.10     0.062
##  [475,]          10.5            0.280        0.51           1.70     0.080
##  [476,]           9.6            0.680        0.24           2.20     0.087
##  [477,]           9.3            0.270        0.41           2.00     0.091
##  [478,]          10.4            0.240        0.49           1.80     0.075
##  [479,]           9.6            0.680        0.24           2.20     0.087
##  [480,]           9.4            0.685        0.11           2.70     0.077
##  [481,]          10.6            0.280        0.39          15.50     0.069
##  [482,]           9.4            0.300        0.56           2.80     0.080
##  [483,]          10.6            0.360        0.59           2.20     0.152
##  [484,]          10.6            0.360        0.60           2.20     0.152
##  [485,]          10.6            0.440        0.68           4.10     0.114
##  [486,]          10.2            0.670        0.39           1.90     0.054
##  [487,]          10.2            0.670        0.39           1.90     0.054
##  [488,]          10.2            0.645        0.36           1.80     0.053
##  [489,]          11.6            0.320        0.55           2.80     0.081
##  [490,]           9.3            0.390        0.40           2.60     0.073
##  [491,]           9.3            0.775        0.27           2.80     0.078
##  [492,]           9.2            0.410        0.50           2.50     0.055
##  [493,]           8.9            0.400        0.51           2.60     0.052
##  [494,]           8.7            0.690        0.31           3.00     0.086
##  [495,]           6.5            0.390        0.23           8.30     0.051
##  [496,]          10.7            0.350        0.53           2.60     0.070
##  [497,]           7.8            0.520        0.25           1.90     0.081
##  [498,]           7.2            0.340        0.32           2.50     0.090
##  [499,]          10.7            0.350        0.53           2.60     0.070
##  [500,]           8.7            0.690        0.31           3.00     0.086
##  [501,]           7.8            0.520        0.25           1.90     0.081
##  [502,]          10.4            0.440        0.73           6.55     0.074
##  [503,]          10.4            0.440        0.73           6.55     0.074
##  [504,]          10.5            0.260        0.47           1.90     0.078
##  [505,]          10.5            0.240        0.42           1.80     0.077
##  [506,]          10.2            0.490        0.63           2.90     0.072
##  [507,]          10.4            0.240        0.46           1.80     0.075
##  [508,]          11.2            0.670        0.55           2.30     0.084
##  [509,]          10.0            0.590        0.31           2.20     0.090
##  [510,]          13.3            0.290        0.75           2.80     0.084
##  [511,]          12.4            0.420        0.49           4.60     0.073
##  [512,]          10.0            0.590        0.31           2.20     0.090
##  [513,]          10.7            0.400        0.48           2.10     0.125
##  [514,]          10.5            0.510        0.64           2.40     0.107
##  [515,]          10.5            0.510        0.64           2.40     0.107
##  [516,]           8.5            0.655        0.49           6.10     0.122
##  [517,]          12.5            0.600        0.49           4.30     0.100
##  [518,]          10.4            0.610        0.49           2.10     0.200
##  [519,]          10.9            0.210        0.49           2.80     0.088
##  [520,]           7.3            0.365        0.49           2.50     0.088
##  [521,]           9.8            0.250        0.49           2.70     0.088
##  [522,]           7.6            0.410        0.49           2.00     0.088
##  [523,]           8.2            0.390        0.49           2.30     0.099
##  [524,]           9.3            0.400        0.49           2.50     0.085
##  [525,]           9.2            0.430        0.49           2.40     0.086
##  [526,]          10.4            0.640        0.24           2.80     0.105
##  [527,]           7.3            0.365        0.49           2.50     0.088
##  [528,]           7.0            0.380        0.49           2.50     0.097
##  [529,]           8.2            0.420        0.49           2.60     0.084
##  [530,]           9.9            0.630        0.24           2.40     0.077
##  [531,]           9.1            0.220        0.24           2.10     0.078
##  [532,]          11.9            0.380        0.49           2.70     0.098
##  [533,]          11.9            0.380        0.49           2.70     0.098
##  [534,]          10.3            0.270        0.24           2.10     0.072
##  [535,]          10.0            0.480        0.24           2.70     0.102
##  [536,]           9.1            0.220        0.24           2.10     0.078
##  [537,]           9.9            0.630        0.24           2.40     0.077
##  [538,]           8.1            0.825        0.24           2.10     0.084
##  [539,]          12.9            0.350        0.49           5.80     0.066
##  [540,]          11.2            0.500        0.74           5.15     0.100
##  [541,]           9.2            0.590        0.24           3.30     0.101
##  [542,]           9.5            0.460        0.49           6.30     0.064
##  [543,]           9.3            0.715        0.24           2.10     0.070
##  [544,]          11.2            0.660        0.24           2.50     0.085
##  [545,]          14.3            0.310        0.74           1.80     0.075
##  [546,]           9.1            0.470        0.49           2.60     0.094
##  [547,]           7.5            0.550        0.24           2.00     0.078
##  [548,]          10.6            0.310        0.49           2.50     0.067
##  [549,]          12.4            0.350        0.49           2.60     0.079
##  [550,]           9.0            0.530        0.49           1.90     0.171
##  [551,]           6.8            0.510        0.01           2.10     0.074
##  [552,]           9.4            0.430        0.24           2.80     0.092
##  [553,]           9.5            0.460        0.24           2.70     0.092
##  [554,]           5.0            1.040        0.24           1.60     0.050
##  [555,]          15.5            0.645        0.49           4.20     0.095
##  [556,]          15.5            0.645        0.49           4.20     0.095
##  [557,]          10.9            0.530        0.49           4.60     0.118
##  [558,]          15.6            0.645        0.49           4.20     0.095
##  [559,]          10.9            0.530        0.49           4.60     0.118
##  [560,]          13.0            0.470        0.49           4.30     0.085
##  [561,]          12.7            0.600        0.49           2.80     0.075
##  [562,]           9.0            0.440        0.49           2.40     0.078
##  [563,]           9.0            0.540        0.49           2.90     0.094
##  [564,]           7.6            0.290        0.49           2.70     0.092
##  [565,]          13.0            0.470        0.49           4.30     0.085
##  [566,]          12.7            0.600        0.49           2.80     0.075
##  [567,]           8.7            0.700        0.24           2.50     0.226
##  [568,]           8.7            0.700        0.24           2.50     0.226
##  [569,]           9.8            0.500        0.49           2.60     0.250
##  [570,]           6.2            0.360        0.24           2.20     0.095
##  [571,]          11.5            0.350        0.49           3.30     0.070
##  [572,]           6.2            0.360        0.24           2.20     0.095
##  [573,]          10.2            0.240        0.49           2.40     0.075
##  [574,]          10.5            0.590        0.49           2.10     0.070
##  [575,]          10.6            0.340        0.49           3.20     0.078
##  [576,]          12.3            0.270        0.49           3.10     0.079
##  [577,]           9.9            0.500        0.24           2.30     0.103
##  [578,]           8.8            0.440        0.49           2.80     0.083
##  [579,]           8.8            0.470        0.49           2.90     0.085
##  [580,]          10.6            0.310        0.49           2.20     0.063
##  [581,]          12.3            0.500        0.49           2.20     0.089
##  [582,]          12.3            0.500        0.49           2.20     0.089
##  [583,]          11.7            0.490        0.49           2.20     0.083
##  [584,]          12.0            0.280        0.49           1.90     0.074
##  [585,]          11.8            0.330        0.49           3.40     0.093
##  [586,]           7.6            0.510        0.24           2.40     0.091
##  [587,]          11.1            0.310        0.49           2.70     0.094
##  [588,]           7.3            0.730        0.24           1.90     0.108
##  [589,]           5.0            0.420        0.24           2.00     0.060
##  [590,]          10.2            0.290        0.49           2.60     0.059
##  [591,]           9.0            0.450        0.49           2.60     0.084
##  [592,]           6.6            0.390        0.49           1.70     0.070
##  [593,]           9.0            0.450        0.49           2.60     0.084
##  [594,]           9.9            0.490        0.58           3.50     0.094
##  [595,]           7.9            0.720        0.17           2.60     0.096
##  [596,]           8.9            0.595        0.41           7.90     0.086
##  [597,]          12.4            0.400        0.51           2.00     0.059
##  [598,]          11.9            0.580        0.58           1.90     0.071
##  [599,]           8.5            0.585        0.18           2.10     0.078
##  [600,]          12.7            0.590        0.45           2.30     0.082
##  [601,]           8.2            0.915        0.27           2.10     0.088
##  [602,]          13.2            0.460        0.52           2.20     0.071
##  [603,]           7.7            0.835        0.00           2.60     0.081
##  [604,]          13.2            0.460        0.52           2.20     0.071
##  [605,]           8.3            0.580        0.13           2.90     0.096
##  [606,]           8.3            0.600        0.13           2.60     0.085
##  [607,]           9.4            0.410        0.48           4.60     0.072
##  [608,]           8.8            0.480        0.41           3.30     0.092
##  [609,]          10.1            0.650        0.37           5.10     0.110
##  [610,]           6.3            0.360        0.19           3.20     0.075
##  [611,]           8.8            0.240        0.54           2.50     0.083
##  [612,]          13.2            0.380        0.55           2.70     0.081
##  [613,]           7.5            0.640        0.00           2.40     0.077
##  [614,]           8.2            0.390        0.38           1.50     0.058
##  [615,]           9.2            0.755        0.18           2.20     0.148
##  [616,]           9.6            0.600        0.50           2.30     0.079
##  [617,]           9.6            0.600        0.50           2.30     0.079
##  [618,]          11.5            0.310        0.51           2.20     0.079
##  [619,]          11.4            0.460        0.50           2.70     0.122
##  [620,]          11.3            0.370        0.41           2.30     0.088
##  [621,]           8.3            0.540        0.24           3.40     0.076
##  [622,]           8.2            0.560        0.23           3.40     0.078
##  [623,]          10.0            0.580        0.22           1.90     0.080
##  [624,]           7.9            0.510        0.25           2.90     0.077
##  [625,]           6.8            0.690        0.00           5.60     0.124
##  [626,]           6.8            0.690        0.00           5.60     0.124
##  [627,]           8.8            0.600        0.29           2.20     0.098
##  [628,]           8.8            0.600        0.29           2.20     0.098
##  [629,]           8.7            0.540        0.26           2.50     0.097
##  [630,]           7.6            0.685        0.23           2.30     0.111
##  [631,]           8.7            0.540        0.26           2.50     0.097
##  [632,]          10.4            0.280        0.54           2.70     0.105
##  [633,]           7.6            0.410        0.14           3.00     0.087
##  [634,]          10.1            0.935        0.22           3.40     0.105
##  [635,]           7.9            0.350        0.21           1.90     0.073
##  [636,]           8.7            0.840        0.00           1.40     0.065
##  [637,]           9.6            0.880        0.28           2.40     0.086
##  [638,]           9.5            0.885        0.27           2.30     0.084
##  [639,]           7.7            0.915        0.12           2.20     0.143
##  [640,]           8.9            0.290        0.35           1.90     0.067
##  [641,]           9.9            0.540        0.45           2.30     0.071
##  [642,]           9.5            0.590        0.44           2.30     0.071
##  [643,]           9.9            0.540        0.45           2.30     0.071
##  [644,]           9.5            0.590        0.44           2.30     0.071
##  [645,]           9.9            0.540        0.45           2.30     0.071
##  [646,]           7.8            0.640        0.10           6.00     0.115
##  [647,]           7.3            0.670        0.05           3.60     0.107
##  [648,]           8.3            0.845        0.01           2.20     0.070
##  [649,]           8.7            0.480        0.30           2.80     0.066
##  [650,]           6.7            0.420        0.27           8.60     0.068
##  [651,]          10.7            0.430        0.39           2.20     0.106
##  [652,]           9.8            0.880        0.25           2.50     0.104
##  [653,]          15.9            0.360        0.65           7.50     0.096
##  [654,]           9.4            0.330        0.59           2.80     0.079
##  [655,]           8.6            0.470        0.47           2.40     0.074
##  [656,]           9.7            0.550        0.17           2.90     0.087
##  [657,]          10.7            0.430        0.39           2.20     0.106
##  [658,]          12.0            0.500        0.59           1.40     0.073
##  [659,]           7.2            0.520        0.07           1.40     0.074
##  [660,]           7.1            0.840        0.02           4.40     0.096
##  [661,]           7.2            0.520        0.07           1.40     0.074
##  [662,]           7.5            0.420        0.31           1.60     0.080
##  [663,]           7.2            0.570        0.06           1.60     0.076
##  [664,]          10.1            0.280        0.46           1.80     0.050
##  [665,]          12.1            0.400        0.52           2.00     0.092
##  [666,]           9.4            0.590        0.14           2.00     0.084
##  [667,]           8.3            0.490        0.36           1.80     0.222
##  [668,]          11.3            0.340        0.45           2.00     0.082
##  [669,]          10.0            0.730        0.43           2.30     0.059
##  [670,]          11.3            0.340        0.45           2.00     0.082
##  [671,]           6.9            0.400        0.24           2.50     0.083
##  [672,]           8.2            0.730        0.21           1.70     0.074
##  [673,]           9.8            1.240        0.34           2.00     0.079
##  [674,]           8.2            0.730        0.21           1.70     0.074
##  [675,]          10.8            0.400        0.41           2.20     0.084
##  [676,]           9.3            0.410        0.39           2.20     0.064
##  [677,]          10.8            0.400        0.41           2.20     0.084
##  [678,]           8.6            0.800        0.11           2.30     0.084
##  [679,]           8.3            0.780        0.10           2.60     0.081
##  [680,]          10.8            0.260        0.45           3.30     0.060
##  [681,]          13.3            0.430        0.58           1.90     0.070
##  [682,]           8.0            0.450        0.23           2.20     0.094
##  [683,]           8.5            0.460        0.31           2.25     0.078
##  [684,]           8.1            0.780        0.23           2.60     0.059
##  [685,]           9.8            0.980        0.32           2.30     0.078
##  [686,]           8.1            0.780        0.23           2.60     0.059
##  [687,]           7.1            0.650        0.18           1.80     0.070
##  [688,]           9.1            0.640        0.23           3.10     0.095
##  [689,]           7.7            0.660        0.04           1.60     0.039
##  [690,]           8.1            0.380        0.48           1.80     0.157
##  [691,]           7.4            1.185        0.00           4.25     0.097
##  [692,]           9.2            0.920        0.24           2.60     0.087
##  [693,]           8.6            0.490        0.51           2.00     0.422
##  [694,]           9.0            0.480        0.32           2.80     0.084
##  [695,]           9.0            0.470        0.31           2.70     0.084
##  [696,]           5.1            0.470        0.02           1.30     0.034
##  [697,]           7.0            0.650        0.02           2.10     0.066
##  [698,]           7.0            0.650        0.02           2.10     0.066
##  [699,]           9.4            0.615        0.28           3.20     0.087
##  [700,]          11.8            0.380        0.55           2.10     0.071
##  [701,]          10.6            1.020        0.43           2.90     0.076
##  [702,]           7.0            0.650        0.02           2.10     0.066
##  [703,]           7.0            0.640        0.02           2.10     0.067
##  [704,]           7.5            0.380        0.48           2.60     0.073
##  [705,]           9.1            0.765        0.04           1.60     0.078
##  [706,]           8.4            1.035        0.15           6.00     0.073
##  [707,]           7.0            0.780        0.08           2.00     0.093
##  [708,]           7.4            0.490        0.19           3.00     0.077
##  [709,]           7.8            0.545        0.12           2.50     0.068
##  [710,]           9.7            0.310        0.47           1.60     0.062
##  [711,]          10.6            1.025        0.43           2.80     0.080
##  [712,]           8.9            0.565        0.34           3.00     0.093
##  [713,]           8.7            0.690        0.00           3.20     0.084
##  [714,]           8.0            0.430        0.36           2.30     0.075
##  [715,]           9.9            0.740        0.28           2.60     0.078
##  [716,]           7.2            0.490        0.18           2.70     0.069
##  [717,]           8.0            0.430        0.36           2.30     0.075
##  [718,]           7.6            0.460        0.11           2.60     0.079
##  [719,]           8.4            0.560        0.04           2.00     0.082
##  [720,]           7.1            0.660        0.00           3.90     0.086
##  [721,]           8.4            0.560        0.04           2.00     0.082
##  [722,]           8.9            0.480        0.24           2.85     0.094
##  [723,]           7.6            0.420        0.08           2.70     0.084
##  [724,]           7.1            0.310        0.30           2.20     0.053
##  [725,]           7.5            1.115        0.10           3.10     0.086
##  [726,]           9.0            0.660        0.17           3.00     0.077
##  [727,]           8.1            0.720        0.09           2.80     0.084
##  [728,]           6.4            0.570        0.02           1.80     0.067
##  [729,]           6.4            0.570        0.02           1.80     0.067
##  [730,]           6.4            0.865        0.03           3.20     0.071
##  [731,]           9.5            0.550        0.66           2.30     0.387
##  [732,]           8.9            0.875        0.13           3.45     0.088
##  [733,]           7.3            0.835        0.03           2.10     0.092
##  [734,]           7.0            0.450        0.34           2.70     0.082
##  [735,]           7.7            0.560        0.20           2.00     0.075
##  [736,]           7.7            0.965        0.10           2.10     0.112
##  [737,]           7.7            0.965        0.10           2.10     0.112
##  [738,]           8.2            0.590        0.00           2.50     0.093
##  [739,]           9.0            0.460        0.23           2.80     0.092
##  [740,]           9.0            0.690        0.00           2.40     0.088
##  [741,]           8.3            0.760        0.29           4.20     0.075
##  [742,]           9.2            0.530        0.24           2.60     0.078
##  [743,]           6.5            0.615        0.00           1.90     0.065
##  [744,]          11.6            0.410        0.58           2.80     0.096
##  [745,]          11.1            0.390        0.54           2.70     0.095
##  [746,]           7.3            0.510        0.18           2.10     0.070
##  [747,]           8.2            0.340        0.38           2.50     0.080
##  [748,]           8.6            0.330        0.40           2.60     0.083
##  [749,]           7.2            0.500        0.18           2.10     0.071
##  [750,]           7.3            0.510        0.18           2.10     0.070
##  [751,]           8.3            0.650        0.10           2.90     0.089
##  [752,]           8.3            0.650        0.10           2.90     0.089
##  [753,]           7.6            0.540        0.13           2.50     0.097
##  [754,]           8.3            0.650        0.10           2.90     0.089
##  [755,]           7.8            0.480        0.68           1.70     0.415
##  [756,]           7.8            0.910        0.07           1.90     0.058
##  [757,]           6.3            0.980        0.01           2.00     0.057
##  [758,]           8.1            0.870        0.00           2.20     0.084
##  [759,]           8.1            0.870        0.00           2.20     0.084
##  [760,]           8.8            0.420        0.21           2.50     0.092
##  [761,]           9.0            0.580        0.25           2.80     0.075
##  [762,]           9.3            0.655        0.26           2.00     0.096
##  [763,]           8.8            0.700        0.00           1.70     0.069
##  [764,]           9.3            0.655        0.26           2.00     0.096
##  [765,]           9.1            0.680        0.11           2.80     0.093
##  [766,]           9.2            0.670        0.10           3.00     0.091
##  [767,]           8.8            0.590        0.18           2.90     0.089
##  [768,]           7.5            0.600        0.32           2.70     0.103
##  [769,]           7.1            0.590        0.02           2.30     0.082
##  [770,]           7.9            0.720        0.01           1.90     0.076
##  [771,]           7.1            0.590        0.02           2.30     0.082
##  [772,]           9.4            0.685        0.26           2.40     0.082
##  [773,]           9.5            0.570        0.27           2.30     0.082
##  [774,]           7.9            0.400        0.29           1.80     0.157
##  [775,]           7.9            0.400        0.30           1.80     0.157
##  [776,]           7.2            1.000        0.00           3.00     0.102
##  [777,]           6.9            0.765        0.18           2.40     0.243
##  [778,]           6.9            0.635        0.17           2.40     0.241
##  [779,]           8.3            0.430        0.30           3.40     0.079
##  [780,]           7.1            0.520        0.03           2.60     0.076
##  [781,]           7.0            0.570        0.00           2.00     0.190
##  [782,]           6.5            0.460        0.14           2.40     0.114
##  [783,]           9.0            0.820        0.05           2.40     0.081
##  [784,]           6.5            0.460        0.14           2.40     0.114
##  [785,]           7.1            0.590        0.01           2.50     0.077
##  [786,]           9.9            0.350        0.41           2.30     0.083
##  [787,]           9.9            0.350        0.41           2.30     0.083
##  [788,]          10.0            0.560        0.24           2.20     0.079
##  [789,]          10.0            0.560        0.24           2.20     0.079
##  [790,]           8.6            0.630        0.17           2.90     0.099
##  [791,]           7.4            0.370        0.43           2.60     0.082
##  [792,]           8.8            0.640        0.17           2.90     0.084
##  [793,]           7.1            0.610        0.02           2.50     0.081
##  [794,]           7.7            0.600        0.00           2.60     0.055
##  [795,]          10.1            0.270        0.54           2.30     0.065
##  [796,]          10.8            0.890        0.30           2.60     0.132
##  [797,]           8.7            0.460        0.31           2.50     0.126
##  [798,]           9.3            0.370        0.44           1.60     0.038
##  [799,]           9.4            0.500        0.34           3.60     0.082
##  [800,]           9.4            0.500        0.34           3.60     0.082
##  [801,]           7.2            0.610        0.08           4.00     0.082
##  [802,]           8.6            0.550        0.09           3.30     0.068
##  [803,]           5.1            0.585        0.00           1.70     0.044
##  [804,]           7.7            0.560        0.08           2.50     0.114
##  [805,]           8.4            0.520        0.22           2.70     0.084
##  [806,]           8.2            0.280        0.40           2.40     0.052
##  [807,]           8.4            0.250        0.39           2.00     0.041
##  [808,]           8.2            0.280        0.40           2.40     0.052
##  [809,]           7.4            0.530        0.12           1.90     0.165
##  [810,]           7.6            0.480        0.31           2.80     0.070
##  [811,]           7.3            0.490        0.10           2.60     0.068
##  [812,]          12.9            0.500        0.55           2.80     0.072
##  [813,]          10.8            0.450        0.33           2.50     0.099
##  [814,]           6.9            0.390        0.24           2.10     0.102
##  [815,]          12.6            0.410        0.54           2.80     0.103
##  [816,]          10.8            0.450        0.33           2.50     0.099
##  [817,]           9.8            0.510        0.19           3.20     0.081
##  [818,]          10.8            0.290        0.42           1.60     0.084
##  [819,]           7.1            0.715        0.00           2.35     0.071
##  [820,]           9.1            0.660        0.15           3.20     0.097
##  [821,]           7.0            0.685        0.00           1.90     0.099
##  [822,]           4.9            0.420        0.00           2.10     0.048
##  [823,]           6.7            0.540        0.13           2.00     0.076
##  [824,]           6.7            0.540        0.13           2.00     0.076
##  [825,]           7.1            0.480        0.28           2.80     0.068
##  [826,]           7.1            0.460        0.14           2.80     0.076
##  [827,]           7.5            0.270        0.34           2.30     0.050
##  [828,]           7.1            0.460        0.14           2.80     0.076
##  [829,]           7.8            0.570        0.09           2.30     0.065
##  [830,]           5.9            0.610        0.08           2.10     0.071
##  [831,]           7.5            0.685        0.07           2.50     0.058
##  [832,]           5.9            0.610        0.08           2.10     0.071
##  [833,]          10.4            0.440        0.42           1.50     0.145
##  [834,]          11.6            0.470        0.44           1.60     0.147
##  [835,]           8.8            0.685        0.26           1.60     0.088
##  [836,]           7.6            0.665        0.10           1.50     0.066
##  [837,]           6.7            0.280        0.28           2.40     0.012
##  [838,]           6.7            0.280        0.28           2.40     0.012
##  [839,]          10.1            0.310        0.35           1.60     0.075
##  [840,]           6.0            0.500        0.04           2.20     0.092
##  [841,]          11.1            0.420        0.47           2.65     0.085
##  [842,]           6.6            0.660        0.00           3.00     0.115
##  [843,]          10.6            0.500        0.45           2.60     0.119
##  [844,]           7.1            0.685        0.35           2.00     0.088
##  [845,]           9.9            0.250        0.46           1.70     0.062
##  [846,]           6.4            0.640        0.21           1.80     0.081
##  [847,]           6.4            0.640        0.21           1.80     0.081
##  [848,]           7.4            0.680        0.16           1.80     0.078
##  [849,]           6.4            0.640        0.21           1.80     0.081
##  [850,]           6.4            0.630        0.21           1.60     0.080
##  [851,]           9.3            0.430        0.44           1.90     0.085
##  [852,]           9.3            0.430        0.44           1.90     0.085
##  [853,]           8.0            0.420        0.32           2.50     0.080
##  [854,]           9.3            0.360        0.39           1.50     0.080
##  [855,]           9.3            0.360        0.39           1.50     0.080
##  [856,]           7.6            0.735        0.02           2.50     0.071
##  [857,]           9.3            0.360        0.39           1.50     0.080
##  [858,]           8.2            0.260        0.34           2.50     0.073
##  [859,]          11.7            0.280        0.47           1.70     0.054
##  [860,]           6.8            0.560        0.22           1.80     0.074
##  [861,]           7.2            0.620        0.06           2.70     0.077
##  [862,]           5.8            1.010        0.66           2.00     0.039
##  [863,]           7.5            0.420        0.32           2.70     0.067
##  [864,]           7.2            0.620        0.06           2.50     0.078
##  [865,]           7.2            0.620        0.06           2.70     0.077
##  [866,]           7.2            0.635        0.07           2.60     0.077
##  [867,]           6.8            0.490        0.22           2.30     0.071
##  [868,]           6.9            0.510        0.23           2.00     0.072
##  [869,]           6.8            0.560        0.22           1.80     0.074
##  [870,]           7.6            0.630        0.03           2.00     0.080
##  [871,]           7.7            0.715        0.01           2.10     0.064
##  [872,]           6.9            0.560        0.03           1.50     0.086
##  [873,]           7.3            0.350        0.24           2.00     0.067
##  [874,]           9.1            0.210        0.37           1.60     0.067
##  [875,]          10.4            0.380        0.46           2.10     0.104
##  [876,]           8.8            0.310        0.40           2.80     0.109
##  [877,]           7.1            0.470        0.00           2.20     0.067
##  [878,]           7.7            0.715        0.01           2.10     0.064
##  [879,]           8.8            0.610        0.19           4.00     0.094
##  [880,]           7.2            0.600        0.04           2.50     0.076
##  [881,]           9.2            0.560        0.18           1.60     0.078
##  [882,]           7.6            0.715        0.00           2.10     0.068
##  [883,]           8.4            0.310        0.29           3.10     0.194
##  [884,]           7.2            0.600        0.04           2.50     0.076
##  [885,]           8.8            0.610        0.19           4.00     0.094
##  [886,]           8.9            0.750        0.14           2.50     0.086
##  [887,]           9.0            0.800        0.12           2.40     0.083
##  [888,]          10.7            0.520        0.38           2.60     0.066
##  [889,]           6.8            0.570        0.00           2.50     0.072
##  [890,]          10.7            0.900        0.34           6.60     0.112
##  [891,]           7.2            0.340        0.24           2.00     0.071
##  [892,]           7.2            0.660        0.03           2.30     0.078
##  [893,]          10.1            0.450        0.23           1.90     0.082
##  [894,]           7.2            0.660        0.03           2.30     0.078
##  [895,]           7.2            0.630        0.03           2.20     0.080
##  [896,]           7.1            0.590        0.01           2.30     0.080
##  [897,]           8.3            0.310        0.39           2.40     0.078
##  [898,]           7.1            0.590        0.01           2.30     0.080
##  [899,]           8.3            0.310        0.39           2.40     0.078
##  [900,]           8.3            1.020        0.02           3.40     0.084
##  [901,]           8.9            0.310        0.36           2.60     0.056
##  [902,]           7.4            0.635        0.10           2.40     0.080
##  [903,]           7.4            0.635        0.10           2.40     0.080
##  [904,]           6.8            0.590        0.06           6.00     0.060
##  [905,]           6.8            0.590        0.06           6.00     0.060
##  [906,]           9.2            0.580        0.20           3.00     0.081
##  [907,]           7.2            0.540        0.27           2.60     0.084
##  [908,]           6.1            0.560        0.00           2.20     0.079
##  [909,]           7.4            0.520        0.13           2.40     0.078
##  [910,]           7.3            0.305        0.39           1.20     0.059
##  [911,]           9.3            0.380        0.48           3.80     0.132
##  [912,]           9.1            0.280        0.46           9.00     0.114
##  [913,]          10.0            0.460        0.44           2.90     0.065
##  [914,]           9.4            0.395        0.46           4.60     0.094
##  [915,]           7.3            0.305        0.39           1.20     0.059
##  [916,]           8.6            0.315        0.40           2.20     0.079
##  [917,]           5.3            0.715        0.19           1.50     0.161
##  [918,]           6.8            0.410        0.31           8.80     0.084
##  [919,]           8.4            0.360        0.32           2.20     0.081
##  [920,]           8.4            0.620        0.12           1.80     0.072
##  [921,]           9.6            0.410        0.37           2.30     0.091
##  [922,]           8.4            0.360        0.32           2.20     0.081
##  [923,]           8.4            0.620        0.12           1.80     0.072
##  [924,]           6.8            0.410        0.31           8.80     0.084
##  [925,]           8.6            0.470        0.27           2.30     0.055
##  [926,]           8.6            0.220        0.36           1.90     0.064
##  [927,]           9.4            0.240        0.33           2.30     0.061
##  [928,]           8.4            0.670        0.19           2.20     0.093
##  [929,]           8.6            0.470        0.27           2.30     0.055
##  [930,]           8.7            0.330        0.38           3.30     0.063
##  [931,]           6.6            0.610        0.01           1.90     0.080
##  [932,]           7.4            0.610        0.01           2.00     0.074
##  [933,]           7.6            0.400        0.29           1.90     0.078
##  [934,]           7.4            0.610        0.01           2.00     0.074
##  [935,]           6.6            0.610        0.01           1.90     0.080
##  [936,]           8.8            0.300        0.38           2.30     0.060
##  [937,]           8.8            0.300        0.38           2.30     0.060
##  [938,]          12.0            0.630        0.50           1.40     0.071
##  [939,]           7.2            0.380        0.38           2.80     0.068
##  [940,]           6.2            0.460        0.17           1.60     0.073
##  [941,]           9.6            0.330        0.52           2.20     0.074
##  [942,]           9.9            0.270        0.49           5.00     0.082
##  [943,]          10.1            0.430        0.40           2.60     0.092
##  [944,]           9.8            0.500        0.34           2.30     0.094
##  [945,]           8.3            0.300        0.49           3.80     0.090
##  [946,]          10.2            0.440        0.42           2.00     0.071
##  [947,]          10.2            0.440        0.58           4.10     0.092
##  [948,]           8.3            0.280        0.48           2.10     0.093
##  [949,]           8.9            0.120        0.45           1.80     0.075
##  [950,]           8.9            0.120        0.45           1.80     0.075
##  [951,]           8.9            0.120        0.45           1.80     0.075
##  [952,]           8.3            0.280        0.48           2.10     0.093
##  [953,]           8.2            0.310        0.40           2.20     0.058
##  [954,]          10.2            0.340        0.48           2.10     0.052
##  [955,]           7.6            0.430        0.40           2.70     0.082
##  [956,]           8.5            0.210        0.52           1.90     0.090
##  [957,]           9.0            0.360        0.52           2.10     0.111
##  [958,]           9.5            0.370        0.52           2.00     0.088
##  [959,]           6.4            0.570        0.12           2.30     0.120
##  [960,]           8.0            0.590        0.05           2.00     0.089
##  [961,]           8.5            0.470        0.27           1.90     0.058
##  [962,]           7.1            0.560        0.14           1.60     0.078
##  [963,]           6.6            0.570        0.02           2.10     0.115
##  [964,]           8.8            0.270        0.39           2.00     0.100
##  [965,]           8.5            0.470        0.27           1.90     0.058
##  [966,]           8.3            0.340        0.40           2.40     0.065
##  [967,]           9.0            0.380        0.41           2.40     0.103
##  [968,]           8.5            0.660        0.20           2.10     0.097
##  [969,]           9.0            0.400        0.43           2.40     0.068
##  [970,]           6.7            0.560        0.09           2.90     0.079
##  [971,]          10.4            0.260        0.48           1.90     0.066
##  [972,]          10.4            0.260        0.48           1.90     0.066
##  [973,]          10.1            0.380        0.50           2.40     0.104
##  [974,]           8.5            0.340        0.44           1.70     0.079
##  [975,]           8.8            0.330        0.41           5.90     0.073
##  [976,]           7.2            0.410        0.30           2.10     0.083
##  [977,]           7.2            0.410        0.30           2.10     0.083
##  [978,]           8.4            0.590        0.29           2.60     0.109
##  [979,]           7.0            0.400        0.32           3.60     0.061
##  [980,]          12.2            0.450        0.49           1.40     0.075
##  [981,]           9.1            0.500        0.30           1.90     0.065
##  [982,]           9.5            0.860        0.26           1.90     0.079
##  [983,]           7.3            0.520        0.32           2.10     0.070
##  [984,]           9.1            0.500        0.30           1.90     0.065
##  [985,]          12.2            0.450        0.49           1.40     0.075
##  [986,]           7.4            0.580        0.00           2.00     0.064
##  [987,]           9.8            0.340        0.39           1.40     0.066
##  [988,]           7.1            0.360        0.30           1.60     0.080
##  [989,]           7.7            0.390        0.12           1.70     0.097
##  [990,]           9.7            0.295        0.40           1.50     0.073
##  [991,]           7.7            0.390        0.12           1.70     0.097
##  [992,]           7.1            0.340        0.28           2.00     0.082
##  [993,]           6.5            0.400        0.10           2.00     0.076
##  [994,]           7.1            0.340        0.28           2.00     0.082
##  [995,]          10.0            0.350        0.45           2.50     0.092
##  [996,]           7.7            0.600        0.06           2.00     0.079
##  [997,]           5.6            0.660        0.00           2.20     0.087
##  [998,]           5.6            0.660        0.00           2.20     0.087
##  [999,]           8.9            0.840        0.34           1.40     0.050
## [1000,]           6.4            0.690        0.00           1.65     0.055
## [1001,]           7.5            0.430        0.30           2.20     0.062
## [1002,]           9.9            0.350        0.38           1.50     0.058
## [1003,]           9.1            0.290        0.33           2.05     0.063
## [1004,]           6.8            0.360        0.32           1.80     0.067
## [1005,]           8.2            0.430        0.29           1.60     0.081
## [1006,]           6.8            0.360        0.32           1.80     0.067
## [1007,]           9.1            0.290        0.33           2.05     0.063
## [1008,]           9.1            0.300        0.34           2.00     0.064
## [1009,]           8.9            0.350        0.40           3.60     0.110
## [1010,]           9.6            0.500        0.36           2.80     0.116
## [1011,]           8.9            0.280        0.45           1.70     0.067
## [1012,]           8.9            0.320        0.31           2.00     0.088
## [1013,]           7.7            1.005        0.15           2.10     0.102
## [1014,]           7.5            0.710        0.00           1.60     0.092
## [1015,]           8.0            0.580        0.16           2.00     0.120
## [1016,]          10.5            0.390        0.46           2.20     0.075
## [1017,]           8.9            0.380        0.40           2.20     0.068
## [1018,]           8.0            0.180        0.37           0.90     0.049
## [1019,]           8.0            0.180        0.37           0.90     0.049
## [1020,]           7.0            0.500        0.14           1.80     0.078
## [1021,]          11.3            0.360        0.66           2.40     0.123
## [1022,]          11.3            0.360        0.66           2.40     0.123
## [1023,]           7.0            0.510        0.09           2.10     0.062
## [1024,]           8.2            0.320        0.42           2.30     0.098
## [1025,]           7.7            0.580        0.01           1.80     0.088
## [1026,]           8.6            0.830        0.00           2.80     0.095
## [1027,]           7.9            0.310        0.32           1.90     0.066
## [1028,]           6.4            0.795        0.00           2.20     0.065
## [1029,]           7.2            0.340        0.21           2.50     0.075
## [1030,]           7.7            0.580        0.01           1.80     0.088
## [1031,]           7.1            0.590        0.00           2.10     0.091
## [1032,]           7.3            0.550        0.01           1.80     0.093
## [1033,]           8.1            0.820        0.00           4.10     0.095
## [1034,]           7.5            0.570        0.08           2.60     0.089
## [1035,]           8.9            0.745        0.18           2.50     0.077
## [1036,]          10.1            0.370        0.34           2.40     0.085
## [1037,]           7.6            0.310        0.34           2.50     0.082
## [1038,]           7.3            0.910        0.10           1.80     0.074
## [1039,]           8.7            0.410        0.41           6.20     0.078
## [1040,]           8.9            0.500        0.21           2.20     0.088
## [1041,]           7.4            0.965        0.00           2.20     0.088
## [1042,]           6.9            0.490        0.19           1.70     0.079
## [1043,]           8.9            0.500        0.21           2.20     0.088
## [1044,]           9.5            0.390        0.41           8.90     0.069
## [1045,]           6.4            0.390        0.33           3.30     0.046
## [1046,]           6.9            0.440        0.00           1.40     0.070
## [1047,]           7.6            0.780        0.00           1.70     0.076
## [1048,]           7.1            0.430        0.17           1.80     0.082
## [1049,]           9.3            0.490        0.36           1.70     0.081
## [1050,]           9.3            0.500        0.36           1.80     0.084
## [1051,]           7.1            0.430        0.17           1.80     0.082
## [1052,]           8.5            0.460        0.59           1.40     0.414
## [1053,]           5.6            0.605        0.05           2.40     0.073
## [1054,]           8.3            0.330        0.42           2.30     0.070
## [1055,]           8.2            0.640        0.27           2.00     0.095
## [1056,]           8.2            0.640        0.27           2.00     0.095
## [1057,]           8.9            0.480        0.53           4.00     0.101
## [1058,]           7.6            0.420        0.25           3.90     0.104
## [1059,]           9.9            0.530        0.57           2.40     0.093
## [1060,]           8.9            0.480        0.53           4.00     0.101
## [1061,]          11.6            0.230        0.57           1.80     0.074
## [1062,]           9.1            0.400        0.50           1.80     0.071
## [1063,]           8.0            0.380        0.44           1.90     0.098
## [1064,]          10.2            0.290        0.65           2.40     0.075
## [1065,]           8.2            0.740        0.09           2.00     0.067
## [1066,]           7.7            0.610        0.18           2.40     0.083
## [1067,]           6.6            0.520        0.08           2.40     0.070
## [1068,]          11.1            0.310        0.53           2.20     0.060
## [1069,]          11.1            0.310        0.53           2.20     0.060
## [1070,]           8.0            0.620        0.35           2.80     0.086
## [1071,]           9.3            0.330        0.45           1.50     0.057
## [1072,]           7.5            0.770        0.20           8.10     0.098
## [1073,]           7.2            0.350        0.26           1.80     0.083
## [1074,]           8.0            0.620        0.33           2.70     0.088
## [1075,]           7.5            0.770        0.20           8.10     0.098
## [1076,]           9.1            0.250        0.34           2.00     0.071
## [1077,]           9.9            0.320        0.56           2.00     0.073
## [1078,]           8.6            0.370        0.65           6.40     0.080
## [1079,]           8.6            0.370        0.65           6.40     0.080
## [1080,]           7.9            0.300        0.68           8.30     0.050
## [1081,]          10.3            0.270        0.56           1.40     0.047
## [1082,]           7.9            0.300        0.68           8.30     0.050
## [1083,]           7.2            0.380        0.30           1.80     0.073
## [1084,]           8.7            0.420        0.45           2.40     0.072
## [1085,]           7.2            0.380        0.30           1.80     0.073
## [1086,]           6.8            0.480        0.08           1.80     0.074
## [1087,]           8.5            0.340        0.40           4.70     0.055
## [1088,]           7.9            0.190        0.42           1.60     0.057
## [1089,]          11.6            0.410        0.54           1.50     0.095
## [1090,]          11.6            0.410        0.54           1.50     0.095
## [1091,]          10.0            0.260        0.54           1.90     0.083
## [1092,]           7.9            0.340        0.42           2.00     0.086
## [1093,]           7.0            0.540        0.09           2.00     0.081
## [1094,]           9.2            0.310        0.36           2.20     0.079
## [1095,]           6.6            0.725        0.09           5.50     0.117
## [1096,]           9.4            0.400        0.47           2.50     0.087
## [1097,]           6.6            0.725        0.09           5.50     0.117
## [1098,]           8.6            0.520        0.38           1.50     0.096
## [1099,]           8.0            0.310        0.45           2.10     0.216
## [1100,]           8.6            0.520        0.38           1.50     0.096
## [1101,]           8.4            0.340        0.42           2.10     0.072
## [1102,]           7.4            0.490        0.27           2.10     0.071
## [1103,]           6.1            0.480        0.09           1.70     0.078
## [1104,]           7.4            0.490        0.27           2.10     0.071
## [1105,]           8.0            0.480        0.34           2.20     0.073
## [1106,]           6.3            0.570        0.28           2.10     0.048
## [1107,]           8.2            0.230        0.42           1.90     0.069
## [1108,]           9.1            0.300        0.41           2.00     0.068
## [1109,]           8.1            0.780        0.10           3.30     0.090
## [1110,]          10.8            0.470        0.43           2.10     0.171
## [1111,]           8.3            0.530        0.00           1.40     0.070
## [1112,]           5.4            0.420        0.27           2.00     0.092
## [1113,]           7.9            0.330        0.41           1.50     0.056
## [1114,]           8.9            0.240        0.39           1.60     0.074
## [1115,]           5.0            0.400        0.50           4.30     0.046
## [1116,]           7.0            0.690        0.07           2.50     0.091
## [1117,]           7.0            0.690        0.07           2.50     0.091
## [1118,]           7.0            0.690        0.07           2.50     0.091
## [1119,]           7.1            0.390        0.12           2.10     0.065
## [1120,]           5.6            0.660        0.00           2.50     0.066
## [1121,]           7.9            0.540        0.34           2.50     0.076
## [1122,]           6.6            0.500        0.00           1.80     0.062
## [1123,]           6.3            0.470        0.00           1.40     0.055
## [1124,]          10.7            0.400        0.37           1.90     0.081
## [1125,]           6.5            0.580        0.00           2.20     0.096
## [1126,]           8.8            0.240        0.35           1.70     0.055
## [1127,]           5.8            0.290        0.26           1.70     0.063
## [1128,]           6.3            0.760        0.00           2.90     0.072
## [1129,]          10.0            0.430        0.33           2.70     0.095
## [1130,]          10.5            0.430        0.35           3.30     0.092
## [1131,]           9.1            0.600        0.00           1.90     0.058
## [1132,]           5.9            0.190        0.21           1.70     0.045
## [1133,]           7.4            0.360        0.34           1.80     0.075
## [1134,]           7.2            0.480        0.07           5.50     0.089
## [1135,]           8.5            0.280        0.35           1.70     0.061
## [1136,]           8.0            0.250        0.43           1.70     0.067
## [1137,]          10.4            0.520        0.45           2.00     0.080
## [1138,]          10.4            0.520        0.45           2.00     0.080
## [1139,]           7.5            0.410        0.15           3.70     0.104
## [1140,]           8.2            0.510        0.24           2.00     0.079
## [1141,]           7.3            0.400        0.30           1.70     0.080
## [1142,]           8.2            0.380        0.32           2.50     0.080
## [1143,]           6.9            0.450        0.11           2.40     0.043
## [1144,]           7.0            0.220        0.30           1.80     0.065
## [1145,]           7.3            0.320        0.23           2.30     0.066
## [1146,]           8.2            0.200        0.43           2.50     0.076
## [1147,]           7.8            0.500        0.12           1.80     0.178
## [1148,]          10.0            0.410        0.45           6.20     0.071
## [1149,]           7.8            0.390        0.42           2.00     0.086
## [1150,]          10.0            0.350        0.47           2.00     0.061
## [1151,]           8.2            0.330        0.32           2.80     0.067
## [1152,]           6.1            0.580        0.23           2.50     0.044
## [1153,]           8.3            0.600        0.25           2.20     0.118
## [1154,]           9.6            0.420        0.35           2.10     0.083
## [1155,]           6.6            0.580        0.00           2.20     0.100
## [1156,]           8.3            0.600        0.25           2.20     0.118
## [1157,]           8.5            0.180        0.51           1.75     0.071
## [1158,]           5.1            0.510        0.18           2.10     0.042
## [1159,]           6.7            0.410        0.43           2.80     0.076
## [1160,]          10.2            0.410        0.43           2.20     0.110
## [1161,]          10.6            0.360        0.57           2.30     0.087
## [1162,]           8.8            0.450        0.43           1.40     0.076
## [1163,]           8.5            0.320        0.42           2.30     0.075
## [1164,]           9.0            0.785        0.24           1.70     0.078
## [1165,]           9.0            0.785        0.24           1.70     0.078
## [1166,]           8.5            0.440        0.50           1.90     0.369
## [1167,]           9.9            0.540        0.26           2.00     0.111
## [1168,]           8.2            0.330        0.39           2.50     0.074
## [1169,]           6.5            0.340        0.27           2.80     0.067
## [1170,]           7.6            0.500        0.29           2.30     0.086
## [1171,]           9.2            0.360        0.34           1.60     0.062
## [1172,]           7.1            0.590        0.00           2.20     0.078
## [1173,]           9.7            0.420        0.46           2.10     0.074
## [1174,]           7.6            0.360        0.31           1.70     0.079
## [1175,]           7.6            0.360        0.31           1.70     0.079
## [1176,]           6.5            0.610        0.00           2.20     0.095
## [1177,]           6.5            0.880        0.03           5.60     0.079
## [1178,]           7.1            0.660        0.00           2.40     0.052
## [1179,]           5.6            0.915        0.00           2.10     0.041
## [1180,]           8.2            0.350        0.33           2.40     0.076
## [1181,]           8.2            0.350        0.33           2.40     0.076
## [1182,]           9.8            0.390        0.43           1.65     0.068
## [1183,]          10.2            0.400        0.40           2.50     0.068
## [1184,]           6.8            0.660        0.07           1.60     0.070
## [1185,]           6.7            0.640        0.23           2.10     0.080
## [1186,]           7.0            0.430        0.30           2.00     0.085
## [1187,]           6.6            0.800        0.03           7.80     0.079
## [1188,]           7.0            0.430        0.30           2.00     0.085
## [1189,]           6.7            0.640        0.23           2.10     0.080
## [1190,]           8.8            0.955        0.05           1.80     0.075
## [1191,]           9.1            0.400        0.57           4.60     0.080
## [1192,]           6.5            0.885        0.00           2.30     0.166
## [1193,]           7.2            0.250        0.37           2.50     0.063
## [1194,]           6.4            0.885        0.00           2.30     0.166
## [1195,]           7.0            0.745        0.12           1.80     0.114
## [1196,]           6.2            0.430        0.22           1.80     0.078
## [1197,]           7.9            0.580        0.23           2.30     0.076
## [1198,]           7.7            0.570        0.21           1.50     0.069
## [1199,]           7.7            0.260        0.26           2.00     0.052
## [1200,]           7.9            0.580        0.23           2.30     0.076
## [1201,]           7.7            0.570        0.21           1.50     0.069
## [1202,]           7.9            0.340        0.36           1.90     0.065
## [1203,]           8.6            0.420        0.39           1.80     0.068
## [1204,]           9.9            0.740        0.19           5.80     0.111
## [1205,]           7.2            0.360        0.46           2.10     0.074
## [1206,]           7.2            0.360        0.46           2.10     0.074
## [1207,]           7.2            0.360        0.46           2.10     0.074
## [1208,]           9.9            0.720        0.55           1.70     0.136
## [1209,]           7.2            0.360        0.46           2.10     0.074
## [1210,]           6.2            0.390        0.43           2.00     0.071
## [1211,]           6.8            0.650        0.02           2.10     0.078
## [1212,]           6.6            0.440        0.15           2.10     0.076
## [1213,]           6.8            0.650        0.02           2.10     0.078
## [1214,]           9.6            0.380        0.42           1.90     0.071
## [1215,]          10.2            0.330        0.46           1.90     0.081
## [1216,]           8.8            0.270        0.46           2.10     0.095
## [1217,]           7.9            0.570        0.31           2.00     0.079
## [1218,]           8.2            0.340        0.37           1.90     0.057
## [1219,]           8.2            0.400        0.31           1.90     0.082
## [1220,]           9.0            0.390        0.40           1.30     0.044
## [1221,]          10.9            0.320        0.52           1.80     0.132
## [1222,]          10.9            0.320        0.52           1.80     0.132
## [1223,]           8.1            0.530        0.22           2.20     0.078
## [1224,]          10.5            0.360        0.47           2.20     0.074
## [1225,]          12.6            0.390        0.49           2.50     0.080
## [1226,]           9.2            0.460        0.23           2.60     0.091
## [1227,]           7.5            0.580        0.03           4.10     0.080
## [1228,]           9.0            0.580        0.25           2.00     0.104
## [1229,]           5.1            0.420        0.00           1.80     0.044
## [1230,]           7.6            0.430        0.29           2.10     0.075
## [1231,]           7.7            0.180        0.34           2.70     0.066
## [1232,]           7.8            0.815        0.01           2.60     0.074
## [1233,]           7.6            0.430        0.29           2.10     0.075
## [1234,]          10.2            0.230        0.37           2.20     0.057
## [1235,]           7.1            0.750        0.01           2.20     0.059
## [1236,]           6.0            0.330        0.32          12.90     0.054
## [1237,]           7.8            0.550        0.00           1.70     0.070
## [1238,]           7.1            0.750        0.01           2.20     0.059
## [1239,]           8.1            0.730        0.00           2.50     0.081
## [1240,]           6.5            0.670        0.00           4.30     0.057
## [1241,]           7.5            0.610        0.20           1.70     0.076
## [1242,]           9.8            0.370        0.39           2.50     0.079
## [1243,]           9.0            0.400        0.41           2.00     0.058
## [1244,]           8.3            0.560        0.22           2.40     0.082
## [1245,]           5.9            0.290        0.25          13.40     0.067
## [1246,]           7.4            0.550        0.19           1.80     0.082
## [1247,]           7.4            0.740        0.07           1.70     0.086
## [1248,]           7.4            0.550        0.19           1.80     0.082
## [1249,]           6.9            0.410        0.33           2.20     0.081
## [1250,]           7.1            0.600        0.01           2.30     0.079
## [1251,]           7.1            0.600        0.01           2.30     0.079
## [1252,]           7.5            0.580        0.14           2.20     0.077
## [1253,]           7.1            0.720        0.00           1.80     0.123
## [1254,]           7.9            0.660        0.00           1.40     0.096
## [1255,]           7.8            0.700        0.06           1.90     0.079
## [1256,]           6.1            0.640        0.02           2.40     0.069
## [1257,]           7.5            0.590        0.22           1.80     0.082
## [1258,]           7.0            0.580        0.28           4.80     0.085
## [1259,]           6.8            0.640        0.00           2.70     0.123
## [1260,]           6.8            0.640        0.00           2.70     0.123
## [1261,]           8.6            0.635        0.68           1.80     0.403
## [1262,]           6.3            1.020        0.00           2.00     0.083
## [1263,]           9.8            0.450        0.38           2.50     0.081
## [1264,]           8.2            0.780        0.00           2.20     0.089
## [1265,]           8.5            0.370        0.32           1.80     0.066
## [1266,]           7.2            0.570        0.05           2.30     0.081
## [1267,]           7.2            0.570        0.05           2.30     0.081
## [1268,]          10.4            0.430        0.50           2.30     0.068
## [1269,]           6.9            0.410        0.31           2.00     0.079
## [1270,]           5.5            0.490        0.03           1.80     0.044
## [1271,]           5.0            0.380        0.01           1.60     0.048
## [1272,]           7.3            0.440        0.20           1.60     0.049
## [1273,]           5.9            0.460        0.00           1.90     0.077
## [1274,]           7.5            0.580        0.20           2.00     0.073
## [1275,]           7.8            0.580        0.13           2.10     0.102
## [1276,]           8.0            0.715        0.22           2.30     0.075
## [1277,]           8.5            0.400        0.40           6.30     0.050
## [1278,]           7.0            0.690        0.00           1.90     0.114
## [1279,]           8.0            0.715        0.22           2.30     0.075
## [1280,]           9.8            0.300        0.39           1.70     0.062
## [1281,]           7.1            0.460        0.20           1.90     0.077
## [1282,]           7.1            0.460        0.20           1.90     0.077
## [1283,]           7.9            0.765        0.00           2.00     0.084
## [1284,]           8.7            0.630        0.28           2.70     0.096
## [1285,]           7.0            0.420        0.19           2.30     0.071
## [1286,]          11.3            0.370        0.50           1.80     0.090
## [1287,]           7.1            0.160        0.44           2.50     0.068
## [1288,]           8.0            0.600        0.08           2.60     0.056
## [1289,]           7.0            0.600        0.30           4.50     0.068
## [1290,]           7.0            0.600        0.30           4.50     0.068
## [1291,]           7.6            0.740        0.00           1.90     0.100
## [1292,]           8.2            0.635        0.10           2.10     0.073
## [1293,]           5.9            0.395        0.13           2.40     0.056
## [1294,]           7.5            0.755        0.00           1.90     0.084
## [1295,]           8.2            0.635        0.10           2.10     0.073
## [1296,]           6.6            0.630        0.00           4.30     0.093
## [1297,]           6.6            0.630        0.00           4.30     0.093
## [1298,]           7.2            0.530        0.14           2.10     0.064
## [1299,]           5.7            0.600        0.00           1.40     0.063
## [1300,]           7.6            1.580        0.00           2.10     0.137
## [1301,]           5.2            0.645        0.00           2.15     0.080
## [1302,]           6.7            0.860        0.07           2.00     0.100
## [1303,]           9.1            0.370        0.32           2.10     0.064
## [1304,]           8.0            0.280        0.44           1.80     0.081
## [1305,]           7.6            0.790        0.21           2.30     0.087
## [1306,]           7.5            0.610        0.26           1.90     0.073
## [1307,]           9.7            0.690        0.32           2.50     0.088
## [1308,]           6.8            0.680        0.09           3.90     0.068
## [1309,]           9.7            0.690        0.32           2.50     0.088
## [1310,]           7.0            0.620        0.10           1.40     0.071
## [1311,]           7.5            0.610        0.26           1.90     0.073
## [1312,]           6.5            0.510        0.15           3.00     0.064
## [1313,]           8.0            1.180        0.21           1.90     0.083
## [1314,]           7.0            0.360        0.21           2.30     0.086
## [1315,]           7.0            0.360        0.21           2.40     0.086
## [1316,]           7.5            0.630        0.27           2.00     0.083
## [1317,]           5.4            0.740        0.00           1.20     0.041
## [1318,]           9.9            0.440        0.46           2.20     0.091
## [1319,]           7.5            0.630        0.27           2.00     0.083
## [1320,]           9.1            0.760        0.68           1.70     0.414
## [1321,]           9.7            0.660        0.34           2.60     0.094
## [1322,]           5.0            0.740        0.00           1.20     0.041
## [1323,]           9.1            0.340        0.42           1.80     0.058
## [1324,]           9.1            0.360        0.39           1.80     0.060
## [1325,]           6.7            0.460        0.24           1.70     0.077
## [1326,]           6.7            0.460        0.24           1.70     0.077
## [1327,]           6.7            0.460        0.24           1.70     0.077
## [1328,]           6.7            0.460        0.24           1.70     0.077
## [1329,]           6.5            0.520        0.11           1.80     0.073
## [1330,]           7.4            0.600        0.26           2.10     0.083
## [1331,]           7.4            0.600        0.26           2.10     0.083
## [1332,]           7.8            0.870        0.26           3.80     0.107
## [1333,]           8.4            0.390        0.10           1.70     0.075
## [1334,]           9.1            0.775        0.22           2.20     0.079
## [1335,]           7.2            0.835        0.00           2.00     0.166
## [1336,]           6.6            0.580        0.02           2.40     0.069
## [1337,]           6.0            0.500        0.00           1.40     0.057
## [1338,]           6.0            0.500        0.00           1.40     0.057
## [1339,]           6.0            0.500        0.00           1.40     0.057
## [1340,]           7.5            0.510        0.02           1.70     0.084
## [1341,]           7.5            0.510        0.02           1.70     0.084
## [1342,]           7.5            0.510        0.02           1.70     0.084
## [1343,]           7.6            0.540        0.02           1.70     0.085
## [1344,]           7.5            0.510        0.02           1.70     0.084
## [1345,]          11.5            0.420        0.48           2.60     0.077
## [1346,]           8.2            0.440        0.24           2.30     0.063
## [1347,]           6.1            0.590        0.01           2.10     0.056
## [1348,]           7.2            0.655        0.03           1.80     0.078
## [1349,]           7.2            0.655        0.03           1.80     0.078
## [1350,]           6.9            0.570        0.00           2.80     0.081
## [1351,]           9.0            0.600        0.29           2.00     0.069
## [1352,]           7.2            0.620        0.01           2.30     0.065
## [1353,]           7.6            0.645        0.03           1.90     0.086
## [1354,]           7.6            0.645        0.03           1.90     0.086
## [1355,]           7.2            0.580        0.03           2.30     0.077
## [1356,]           6.1            0.320        0.25           1.80     0.086
## [1357,]           6.1            0.340        0.25           1.80     0.084
## [1358,]           7.3            0.430        0.24           2.50     0.078
## [1359,]           7.4            0.640        0.17           5.40     0.168
## [1360,]          11.6            0.475        0.40           1.40     0.091
## [1361,]           9.2            0.540        0.31           2.30     0.112
## [1362,]           8.3            0.850        0.14           2.50     0.093
## [1363,]          11.6            0.475        0.40           1.40     0.091
## [1364,]           8.0            0.830        0.27           2.00     0.080
## [1365,]           7.2            0.605        0.02           1.90     0.096
## [1366,]           7.8            0.500        0.09           2.20     0.115
## [1367,]           7.3            0.740        0.08           1.70     0.094
## [1368,]           6.9            0.540        0.30           2.20     0.088
## [1369,]           8.0            0.770        0.32           2.10     0.079
## [1370,]           6.6            0.610        0.00           1.60     0.069
## [1371,]           8.7            0.780        0.51           1.70     0.415
## [1372,]           7.5            0.580        0.56           3.10     0.153
## [1373,]           8.7            0.780        0.51           1.70     0.415
## [1374,]           7.7            0.750        0.27           3.80     0.110
## [1375,]           6.8            0.815        0.00           1.20     0.267
## [1376,]           7.2            0.560        0.26           2.00     0.083
## [1377,]           8.2            0.885        0.20           1.40     0.086
## [1378,]           5.2            0.490        0.26           2.30     0.090
## [1379,]           7.2            0.450        0.15           2.00     0.078
## [1380,]           7.5            0.570        0.02           2.60     0.077
## [1381,]           7.5            0.570        0.02           2.60     0.077
## [1382,]           6.8            0.830        0.09           1.80     0.074
## [1383,]           8.0            0.600        0.22           2.10     0.080
## [1384,]           8.0            0.600        0.22           2.10     0.080
## [1385,]           7.1            0.755        0.15           1.80     0.107
## [1386,]           8.0            0.810        0.25           3.40     0.076
## [1387,]           7.4            0.640        0.07           1.80     0.100
## [1388,]           7.4            0.640        0.07           1.80     0.100
## [1389,]           6.6            0.640        0.31           6.10     0.083
## [1390,]           6.7            0.480        0.02           2.20     0.080
## [1391,]           6.0            0.490        0.00           2.30     0.068
## [1392,]           8.0            0.640        0.22           2.40     0.094
## [1393,]           7.1            0.620        0.06           1.30     0.070
## [1394,]           8.0            0.520        0.25           2.00     0.078
## [1395,]           6.4            0.570        0.14           3.90     0.070
## [1396,]           8.6            0.685        0.10           1.60     0.092
## [1397,]           8.7            0.675        0.10           1.60     0.090
## [1398,]           7.3            0.590        0.26           2.00     0.080
## [1399,]           7.0            0.600        0.12           2.20     0.083
## [1400,]           7.2            0.670        0.00           2.20     0.068
## [1401,]           7.9            0.690        0.21           2.10     0.080
## [1402,]           7.9            0.690        0.21           2.10     0.080
## [1403,]           7.6            0.300        0.42           2.00     0.052
## [1404,]           7.2            0.330        0.33           1.70     0.061
## [1405,]           8.0            0.500        0.39           2.60     0.082
## [1406,]           7.7            0.280        0.30           2.00     0.062
## [1407,]           8.2            0.240        0.34           5.10     0.062
## [1408,]           6.0            0.510        0.00           2.10     0.064
## [1409,]           8.1            0.290        0.36           2.20     0.048
## [1410,]           6.0            0.510        0.00           2.10     0.064
## [1411,]           6.6            0.960        0.00           1.80     0.082
## [1412,]           6.4            0.470        0.40           2.40     0.071
## [1413,]           8.2            0.240        0.34           5.10     0.062
## [1414,]           9.9            0.570        0.25           2.00     0.104
## [1415,]          10.0            0.320        0.59           2.20     0.077
## [1416,]           6.2            0.580        0.00           1.60     0.065
## [1417,]          10.0            0.320        0.59           2.20     0.077
## [1418,]           7.3            0.340        0.33           2.50     0.064
## [1419,]           7.8            0.530        0.01           1.60     0.077
## [1420,]           7.7            0.640        0.21           2.20     0.077
## [1421,]           7.8            0.530        0.01           1.60     0.077
## [1422,]           7.5            0.400        0.18           1.60     0.079
## [1423,]           7.0            0.540        0.00           2.10     0.079
## [1424,]           6.4            0.530        0.09           3.90     0.123
## [1425,]           8.3            0.260        0.37           1.40     0.076
## [1426,]           8.3            0.260        0.37           1.40     0.076
## [1427,]           7.7            0.230        0.37           1.80     0.046
## [1428,]           7.6            0.410        0.33           2.50     0.078
## [1429,]           7.8            0.640        0.00           1.90     0.072
## [1430,]           7.9            0.180        0.40           2.20     0.049
## [1431,]           7.4            0.410        0.24           1.80     0.066
## [1432,]           7.6            0.430        0.31           2.10     0.069
## [1433,]           5.9            0.440        0.00           1.60     0.042
## [1434,]           6.1            0.400        0.16           1.80     0.069
## [1435,]          10.2            0.540        0.37          15.40     0.214
## [1436,]          10.2            0.540        0.37          15.40     0.214
## [1437,]          10.0            0.380        0.38           1.60     0.169
## [1438,]           6.8            0.915        0.29           4.80     0.070
## [1439,]           7.0            0.590        0.00           1.70     0.052
## [1440,]           7.3            0.670        0.02           2.20     0.072
## [1441,]           7.2            0.370        0.32           2.00     0.062
## [1442,]           7.4            0.785        0.19           5.20     0.094
## [1443,]           6.9            0.630        0.02           1.90     0.078
## [1444,]           6.9            0.580        0.20           1.75     0.058
## [1445,]           7.3            0.670        0.02           2.20     0.072
## [1446,]           7.4            0.785        0.19           5.20     0.094
## [1447,]           6.9            0.630        0.02           1.90     0.078
## [1448,]           6.8            0.670        0.00           1.90     0.080
## [1449,]           6.9            0.580        0.01           1.90     0.080
## [1450,]           7.2            0.380        0.31           2.00     0.056
## [1451,]           7.2            0.370        0.32           2.00     0.062
## [1452,]           7.8            0.320        0.44           2.70     0.104
## [1453,]           6.6            0.580        0.02           2.00     0.062
## [1454,]           7.6            0.490        0.33           1.90     0.074
## [1455,]          11.7            0.450        0.63           2.20     0.073
## [1456,]           6.5            0.900        0.00           1.60     0.052
## [1457,]           6.0            0.540        0.06           1.80     0.050
## [1458,]           7.6            0.490        0.33           1.90     0.074
## [1459,]           8.4            0.290        0.40           1.70     0.067
## [1460,]           7.9            0.200        0.35           1.70     0.054
## [1461,]           6.4            0.420        0.09           2.30     0.054
## [1462,]           6.2            0.785        0.00           2.10     0.060
## [1463,]           6.8            0.640        0.03           2.30     0.075
## [1464,]           6.9            0.630        0.01           2.40     0.076
## [1465,]           6.8            0.590        0.10           1.70     0.063
## [1466,]           6.8            0.590        0.10           1.70     0.063
## [1467,]           7.3            0.480        0.32           2.10     0.062
## [1468,]           6.7            1.040        0.08           2.30     0.067
## [1469,]           7.3            0.480        0.32           2.10     0.062
## [1470,]           7.3            0.980        0.05           2.10     0.061
## [1471,]          10.0            0.690        0.11           1.40     0.084
## [1472,]           6.7            0.700        0.08           3.75     0.067
## [1473,]           7.6            0.350        0.60           2.60     0.073
## [1474,]           6.1            0.600        0.08           1.80     0.071
## [1475,]           9.9            0.500        0.50          13.80     0.205
## [1476,]           5.3            0.470        0.11           2.20     0.048
## [1477,]           9.9            0.500        0.50          13.80     0.205
## [1478,]           5.3            0.470        0.11           2.20     0.048
## [1479,]           7.1            0.875        0.05           5.70     0.082
## [1480,]           8.2            0.280        0.60           3.00     0.104
## [1481,]           5.6            0.620        0.03           1.50     0.080
## [1482,]           8.2            0.280        0.60           3.00     0.104
## [1483,]           7.2            0.580        0.54           2.10     0.114
## [1484,]           8.1            0.330        0.44           1.50     0.042
## [1485,]           6.8            0.910        0.06           2.00     0.060
## [1486,]           7.0            0.655        0.16           2.10     0.074
## [1487,]           6.8            0.680        0.21           2.10     0.070
## [1488,]           6.0            0.640        0.05           1.90     0.066
## [1489,]           5.6            0.540        0.04           1.70     0.049
## [1490,]           6.2            0.570        0.10           2.10     0.048
## [1491,]           7.1            0.220        0.49           1.80     0.039
## [1492,]           5.6            0.540        0.04           1.70     0.049
## [1493,]           6.2            0.650        0.06           1.60     0.050
## [1494,]           7.7            0.540        0.26           1.90     0.089
## [1495,]           6.4            0.310        0.09           1.40     0.066
## [1496,]           7.0            0.430        0.02           1.90     0.080
## [1497,]           7.7            0.540        0.26           1.90     0.089
## [1498,]           6.9            0.740        0.03           2.30     0.054
## [1499,]           6.6            0.895        0.04           2.30     0.068
## [1500,]           6.9            0.740        0.03           2.30     0.054
## [1501,]           7.5            0.725        0.04           1.50     0.076
## [1502,]           7.8            0.820        0.29           4.30     0.083
## [1503,]           7.3            0.585        0.18           2.40     0.078
## [1504,]           6.2            0.440        0.39           2.50     0.077
## [1505,]           7.5            0.380        0.57           2.30     0.106
## [1506,]           6.7            0.760        0.02           1.80     0.078
## [1507,]           6.8            0.810        0.05           2.00     0.070
## [1508,]           7.5            0.380        0.57           2.30     0.106
## [1509,]           7.1            0.270        0.60           2.10     0.074
## [1510,]           7.9            0.180        0.40           1.80     0.062
## [1511,]           6.4            0.360        0.21           2.20     0.047
## [1512,]           7.1            0.690        0.04           2.10     0.068
## [1513,]           6.4            0.790        0.04           2.20     0.061
## [1514,]           6.4            0.560        0.15           1.80     0.078
## [1515,]           6.9            0.840        0.21           4.10     0.074
## [1516,]           6.9            0.840        0.21           4.10     0.074
## [1517,]           6.1            0.320        0.25           2.30     0.071
## [1518,]           6.5            0.530        0.06           2.00     0.063
## [1519,]           7.4            0.470        0.46           2.20     0.114
## [1520,]           6.6            0.700        0.08           2.60     0.106
## [1521,]           6.5            0.530        0.06           2.00     0.063
## [1522,]           6.9            0.480        0.20           1.90     0.082
## [1523,]           6.1            0.320        0.25           2.30     0.071
## [1524,]           6.8            0.480        0.25           2.00     0.076
## [1525,]           6.0            0.420        0.19           2.00     0.075
## [1526,]           6.7            0.480        0.08           2.10     0.064
## [1527,]           6.8            0.470        0.08           2.20     0.064
## [1528,]           7.1            0.530        0.07           1.70     0.071
## [1529,]           7.9            0.290        0.49           2.20     0.096
## [1530,]           7.1            0.690        0.08           2.10     0.063
## [1531,]           6.6            0.440        0.09           2.20     0.063
## [1532,]           6.1            0.705        0.10           2.80     0.081
## [1533,]           7.2            0.530        0.13           2.00     0.058
## [1534,]           8.0            0.390        0.30           1.90     0.074
## [1535,]           6.6            0.560        0.14           2.40     0.064
## [1536,]           7.0            0.550        0.13           2.20     0.075
## [1537,]           6.1            0.530        0.08           1.90     0.077
## [1538,]           5.4            0.580        0.08           1.90     0.059
## [1539,]           6.2            0.640        0.09           2.50     0.081
## [1540,]           7.2            0.390        0.32           1.80     0.065
## [1541,]           6.2            0.520        0.08           4.40     0.071
## [1542,]           7.4            0.250        0.29           2.20     0.054
## [1543,]           6.7            0.855        0.02           1.90     0.064
## [1544,]          11.1            0.440        0.42           2.20     0.064
## [1545,]           8.4            0.370        0.43           2.30     0.063
## [1546,]           6.5            0.630        0.33           1.80     0.059
## [1547,]           7.0            0.570        0.02           2.00     0.072
## [1548,]           6.3            0.600        0.10           1.60     0.048
## [1549,]          11.2            0.400        0.50           2.00     0.099
## [1550,]           7.4            0.360        0.30           1.80     0.074
## [1551,]           7.1            0.680        0.00           2.30     0.087
## [1552,]           7.1            0.670        0.00           2.30     0.083
## [1553,]           6.3            0.680        0.01           3.70     0.103
## [1554,]           7.3            0.735        0.00           2.20     0.080
## [1555,]           6.6            0.855        0.02           2.40     0.062
## [1556,]           7.0            0.560        0.17           1.70     0.065
## [1557,]           6.6            0.880        0.04           2.20     0.066
## [1558,]           6.6            0.855        0.02           2.40     0.062
## [1559,]           6.9            0.630        0.33           6.70     0.235
## [1560,]           7.8            0.600        0.26           2.00     0.080
## [1561,]           7.8            0.600        0.26           2.00     0.080
## [1562,]           7.8            0.600        0.26           2.00     0.080
## [1563,]           7.2            0.695        0.13           2.00     0.076
## [1564,]           7.2            0.695        0.13           2.00     0.076
## [1565,]           7.2            0.695        0.13           2.00     0.076
## [1566,]           6.7            0.670        0.02           1.90     0.061
## [1567,]           6.7            0.160        0.64           2.10     0.059
## [1568,]           7.2            0.695        0.13           2.00     0.076
## [1569,]           7.0            0.560        0.13           1.60     0.077
## [1570,]           6.2            0.510        0.14           1.90     0.056
## [1571,]           6.4            0.360        0.53           2.20     0.230
## [1572,]           6.4            0.380        0.14           2.20     0.038
## [1573,]           7.3            0.690        0.32           2.20     0.069
## [1574,]           6.0            0.580        0.20           2.40     0.075
## [1575,]           5.6            0.310        0.78          13.90     0.074
## [1576,]           7.5            0.520        0.40           2.20     0.060
## [1577,]           8.0            0.300        0.63           1.60     0.081
## [1578,]           6.2            0.700        0.15           5.10     0.076
## [1579,]           6.8            0.670        0.15           1.80     0.118
## [1580,]           6.2            0.560        0.09           1.70     0.053
## [1581,]           7.4            0.350        0.33           2.40     0.068
## [1582,]           6.2            0.560        0.09           1.70     0.053
## [1583,]           6.1            0.715        0.10           2.60     0.053
## [1584,]           6.2            0.460        0.29           2.10     0.074
## [1585,]           6.7            0.320        0.44           2.40     0.061
## [1586,]           7.2            0.390        0.44           2.60     0.066
## [1587,]           7.5            0.310        0.41           2.40     0.065
## [1588,]           5.8            0.610        0.11           1.80     0.066
## [1589,]           7.2            0.660        0.33           2.50     0.068
## [1590,]           6.6            0.725        0.20           7.80     0.073
## [1591,]           6.3            0.550        0.15           1.80     0.077
## [1592,]           5.4            0.740        0.09           1.70     0.089
## [1593,]           6.3            0.510        0.13           2.30     0.076
## [1594,]           6.8            0.620        0.08           1.90     0.068
## [1595,]           6.2            0.600        0.08           2.00     0.090
## [1596,]           5.9            0.550        0.10           2.20     0.062
## [1597,]           6.3            0.510        0.13           2.30     0.076
## [1598,]           5.9            0.645        0.12           2.00     0.075
## [1599,]           6.0            0.310        0.47           3.60     0.067
##         free sulfur dioxide total sulfur dioxide density   pH sulphates
##    [1,]                11.0                 34.0 0.99780 3.51      0.56
##    [2,]                25.0                 67.0 0.99680 3.20      0.68
##    [3,]                15.0                 54.0 0.99700 3.26      0.65
##    [4,]                17.0                 60.0 0.99800 3.16      0.58
##    [5,]                11.0                 34.0 0.99780 3.51      0.56
##    [6,]                13.0                 40.0 0.99780 3.51      0.56
##    [7,]                15.0                 59.0 0.99640 3.30      0.46
##    [8,]                15.0                 21.0 0.99460 3.39      0.47
##    [9,]                 9.0                 18.0 0.99680 3.36      0.57
##   [10,]                17.0                102.0 0.99780 3.35      0.80
##   [11,]                15.0                 65.0 0.99590 3.28      0.54
##   [12,]                17.0                102.0 0.99780 3.35      0.80
##   [13,]                16.0                 59.0 0.99430 3.58      0.52
##   [14,]                 9.0                 29.0 0.99740 3.26      1.56
##   [15,]                52.0                145.0 0.99860 3.16      0.88
##   [16,]                51.0                148.0 0.99860 3.17      0.93
##   [17,]                35.0                103.0 0.99690 3.30      0.75
##   [18,]                16.0                 56.0 0.99680 3.11      1.28
##   [19,]                 6.0                 29.0 0.99740 3.38      0.50
##   [20,]                17.0                 56.0 0.99690 3.04      1.08
##   [21,]                29.0                 60.0 0.99680 3.39      0.53
##   [22,]                23.0                 71.0 0.99820 3.52      0.65
##   [23,]                10.0                 37.0 0.99660 3.17      0.91
##   [24,]                 9.0                 67.0 0.99680 3.17      0.53
##   [25,]                21.0                 40.0 0.99680 3.43      0.63
##   [26,]                11.0                 23.0 0.99550 3.34      0.56
##   [27,]                 4.0                 11.0 0.99620 3.28      0.59
##   [28,]                10.0                 37.0 0.99660 3.17      0.91
##   [29,]                14.0                 35.0 0.99720 3.47      0.55
##   [30,]                 8.0                 16.0 0.99640 3.38      0.59
##   [31,]                17.0                 82.0 0.99580 3.35      0.54
##   [32,]                22.0                 37.0 0.99660 3.46      0.57
##   [33,]                15.0                113.0 0.99660 3.17      0.66
##   [34,]                40.0                 83.0 0.99930 3.45      0.52
##   [35,]                13.0                 50.0 0.99570 3.38      0.55
##   [36,]                 5.0                 18.0 0.99860 3.40      0.55
##   [37,]                 3.0                 15.0 0.99750 3.42      0.60
##   [38,]                13.0                 30.0 0.99680 3.23      0.73
##   [39,]                 7.0                 19.0 0.99400 3.50      0.48
##   [40,]                12.0                 87.0 0.99780 3.33      0.83
##   [41,]                12.0                 87.0 0.99780 3.33      0.83
##   [42,]                17.0                 46.0 0.99760 3.26      0.51
##   [43,]                 8.0                 14.0 0.99680 3.21      0.90
##   [44,]                 9.0                 23.0 0.99680 3.30      1.20
##   [45,]                 5.0                 11.0 0.99620 3.48      0.52
##   [46,]                 8.0                 65.0 0.99340 3.90      0.56
##   [47,]                22.0                114.0 0.99700 3.25      0.73
##   [48,]                12.0                 37.0 0.99690 3.25      0.58
##   [49,]                 5.0                 12.0 0.99580 3.34      0.56
##   [50,]                12.0                 96.0 0.99540 3.32      0.58
##   [51,]                 4.0                 23.0 0.99710 3.15      0.74
##   [52,]                 8.0                 15.0 0.99560 3.40      0.63
##   [53,]                 6.0                 14.0 0.99550 3.39      0.64
##   [54,]                30.0                119.0 0.99700 3.20      0.56
##   [55,]                33.0                 73.0 0.99550 3.17      0.63
##   [56,]                25.0                 45.0 0.99780 3.34      0.53
##   [57,]                 4.0                 10.0 0.99710 3.04      0.63
##   [58,]                50.0                110.0 0.99830 3.26      0.77
##   [59,]                17.0                 54.0 0.99750 3.43      0.59
##   [60,]                 9.0                 46.0 0.99620 3.41      0.54
##   [61,]                19.0                 52.0 0.99800 3.44      0.64
##   [62,]                20.0                112.0 0.99680 3.21      0.71
##   [63,]                12.0                 35.0 0.99680 3.38      0.62
##   [64,]                13.0                 54.0 0.99660 3.39      0.57
##   [65,]                 4.0                 11.0 0.99620 3.41      0.39
##   [66,]                 4.0                 11.0 0.99620 3.41      0.39
##   [67,]                11.0                 39.0 0.99680 3.42      0.58
##   [68,]                 6.0                 15.0 0.99620 3.44      0.58
##   [69,]                27.0                 65.0 0.99690 3.28      0.79
##   [70,]                 8.0                 19.0 0.99620 3.34      0.95
##   [71,]                15.0                 27.0 0.99670 3.32      0.54
##   [72,]                17.0                 96.0 0.99620 3.32      0.48
##   [73,]                18.0                 94.0 0.99610 3.31      0.48
##   [74,]                11.0                 43.0 0.99760 3.31      0.53
##   [75,]                28.0                 83.0 0.99840 3.28      0.82
##   [76,]                 9.0                 42.0 0.99860 3.54      0.66
##   [77,]                 9.0                 42.0 0.99860 3.54      0.66
##   [78,]                14.0                 30.0 0.99660 3.52      0.55
##   [79,]                12.0                 80.0 0.99580 3.38      0.52
##   [80,]                27.0                119.0 0.99720 3.16      1.12
##   [81,]                 3.0                 15.0 0.99580 3.41      0.56
##   [82,]                22.0                 67.0 0.99740 3.13      1.28
##   [83,]                21.0                 73.0 0.99700 3.36      0.57
##   [84,]                16.0                 51.0 0.99690 3.16      1.14
##   [85,]                18.0                 61.0 0.99590 3.44      0.78
##   [86,]                19.0                 40.0 0.99610 3.41      0.59
##   [87,]                20.0                136.0 0.99720 2.93      1.95
##   [88,]                 9.0                 31.0 0.99660 3.39      0.64
##   [89,]                34.0                125.0 0.99780 3.14      1.22
##   [90,]                 8.0                 24.0 0.99780 3.48      0.53
##   [91,]                42.0                140.0 0.99640 3.23      0.54
##   [92,]                20.0                136.0 0.99720 2.93      1.95
##   [93,]                19.0                133.0 0.99720 2.93      1.98
##   [94,]                 9.0                 31.0 0.99660 3.39      0.64
##   [95,]                41.0                 85.0 0.99380 3.75      0.48
##   [96,]                17.0                106.0 0.99320 3.85      0.60
##   [97,]                 8.0                 23.0 0.99650 3.45      0.56
##   [98,]                 3.0                 22.0 0.99630 3.25      0.63
##   [99,]                 5.0                 10.0 0.99670 3.39      0.56
##  [100,]                13.0                 35.0 0.99720 3.30      0.59
##  [101,]                11.0                 50.0 0.99720 3.40      0.61
##  [102,]                 8.0                 22.0 0.99590 3.31      0.56
##  [103,]                13.0                 35.0 0.99720 3.30      0.59
##  [104,]                12.0                 65.0 0.99670 3.29      0.51
##  [105,]                 5.0                 36.0 0.99600 3.33      0.48
##  [106,]                12.0                 65.0 0.99670 3.29      0.51
##  [107,]                18.0                 69.0 0.99730 3.08      1.31
##  [108,]                15.0                 64.0 0.99690 3.46      0.79
##  [109,]                18.0                 80.0 0.99760 3.37      0.80
##  [110,]                37.0                153.0 0.99690 3.21      0.69
##  [111,]                12.0                 47.0 0.99640 3.19      0.93
##  [112,]                11.0                108.0 0.99640 3.15      0.66
##  [113,]                14.0                111.0 0.99640 3.15      0.66
##  [114,]                22.0                 46.0 0.99880 3.32      0.67
##  [115,]                12.0                 47.0 0.99640 3.19      0.93
##  [116,]                13.0                 62.0 0.99660 3.07      0.63
##  [117,]                11.0                 40.0 0.99780 3.39      0.61
##  [118,]                 7.0                 28.0 0.99700 3.37      0.50
##  [119,]                14.0                 56.0 0.99620 3.21      0.60
##  [120,]                22.0                 89.0 0.99590 3.34      0.54
##  [121,]                10.0                 89.0 0.99620 3.30      0.57
##  [122,]                14.0                 56.0 0.99620 3.21      0.60
##  [123,]                 3.0                 13.0 0.99800 3.49      0.52
##  [124,]                11.0                 34.0 0.99760 3.44      0.53
##  [125,]                21.0                102.0 0.99600 3.39      0.48
##  [126,]                27.0                 90.0 0.99840 3.16      0.70
##  [127,]                 3.0                 12.0 0.99640 3.53      0.49
##  [128,]                 3.0                 12.0 0.99640 3.54      0.48
##  [129,]                 3.0                 16.0 0.99620 3.42      0.92
##  [130,]                 6.0                 19.0 0.99550 3.42      0.57
##  [131,]                30.0                134.0 0.99680 3.24      0.66
##  [132,]                17.0                 99.0 0.99370 3.63      0.63
##  [133,]                17.0                 99.0 0.99370 3.63      0.63
##  [134,]                17.0                 26.0 0.99520 3.40      0.58
##  [135,]                13.0                 29.0 0.99590 3.22      0.55
##  [136,]                16.0                 63.0 0.99650 3.19      0.82
##  [137,]                10.0                 52.0 0.99680 3.23      0.77
##  [138,]                13.0                 45.0 0.99720 3.48      0.64
##  [139,]                15.0                105.0 0.99620 3.33      0.54
##  [140,]                17.0                108.0 0.99620 3.32      0.54
##  [141,]                16.0                 63.0 0.99650 3.19      0.82
##  [142,]                10.0                 52.0 0.99680 3.23      0.77
##  [143,]                27.0                 63.0 0.99160 3.68      0.79
##  [144,]                 3.0                 20.0 0.99540 3.34      0.58
##  [145,]                27.0                 63.0 0.99160 3.68      0.79
##  [146,]                32.0                141.0 0.99680 3.17      0.62
##  [147,]                21.0                 94.0 0.99440 3.54      0.52
##  [148,]                10.0                 88.0 0.99680 3.11      0.80
##  [149,]                12.0                 30.0 0.99590 3.42      0.58
##  [150,]                11.0                 43.0 0.99750 3.53      0.61
##  [151,]                 5.0                 11.0 0.99580 3.33      0.53
##  [152,]                32.0                 69.0 0.99960 2.74      2.00
##  [153,]                25.0                 99.0 0.99500 3.35      0.54
##  [154,]                25.0                 99.0 0.99500 3.35      0.54
##  [155,]                29.0                129.0 0.99730 3.42      0.72
##  [156,]                28.0                128.0 0.99730 3.42      0.71
##  [157,]                29.0                129.0 0.99730 3.42      0.72
##  [158,]                28.0                128.0 0.99730 3.42      0.71
##  [159,]                12.0                 22.0 0.99690 3.48      0.50
##  [160,]                18.0                 86.0 0.99680 3.59      0.57
##  [161,]                 7.0                 20.0 0.99590 3.20      0.56
##  [162,]                 9.0                 20.0 0.99650 3.17      1.08
##  [163,]                17.0                 31.0 0.99640 3.33      0.56
##  [164,]                36.0                121.0 0.99820 3.37      0.49
##  [165,]                35.0                121.0 0.99810 3.37      0.49
##  [166,]                14.0                 96.0 0.99610 3.19      0.62
##  [167,]                18.0                101.0 0.99560 3.34      0.52
##  [168,]                17.0                 42.0 0.99560 3.37      0.48
##  [169,]                11.0                 44.0 0.99530 3.47      0.55
##  [170,]                15.0                 63.0 0.99640 3.00      1.59
##  [171,]                 4.0                  8.0 0.99720 3.36      0.33
##  [172,]                 6.0                 18.0 0.99720 3.29      0.61
##  [173,]                 6.0                 18.0 0.99720 3.29      0.61
##  [174,]                24.0                 42.0 0.99610 3.42      0.57
##  [175,]                 7.0                 35.0 0.99610 3.33      0.47
##  [176,]                19.0                 49.0 0.99580 3.35      0.78
##  [177,]                 7.0                 35.0 0.99610 3.33      0.47
##  [178,]                 8.0                 38.0 0.99720 3.58      0.61
##  [179,]                 7.0                 20.0 0.99690 3.48      0.56
##  [180,]                10.0                 42.0 0.99690 3.19      0.59
##  [181,]                10.0                 42.0 0.99690 3.19      0.59
##  [182,]                23.0                110.0 0.99720 3.12      1.02
##  [183,]                16.0                 42.0 0.99720 3.44      0.52
##  [184,]                11.0                 65.0 0.99710 3.54      0.58
##  [185,]                 8.0                 62.0 0.99700 3.52      0.58
##  [186,]                26.0                 85.0 0.99710 3.26      0.53
##  [187,]                14.0                 67.0 0.99720 3.34      0.55
##  [188,]                 9.0                 26.0 0.99760 3.39      0.49
##  [189,]                15.0                143.0 0.99680 3.20      0.55
##  [190,]                17.0                144.0 0.99680 3.20      0.55
##  [191,]                21.0                127.0 0.99760 3.23      0.62
##  [192,]                21.0                 49.0 0.99740 3.57      0.62
##  [193,]                16.0                126.0 0.99690 3.28      0.61
##  [194,]                 7.0                 28.0 0.99640 3.28      0.55
##  [195,]                 7.0                 28.0 0.99640 3.28      0.55
##  [196,]                24.0                120.0 0.99680 3.25      0.54
##  [197,]                15.0                 55.0 0.99680 3.46      0.59
##  [198,]                12.0                 27.0 0.99810 3.11      0.97
##  [199,]                13.0                 93.0 0.99240 3.57      0.85
##  [200,]                12.0                 31.0 0.99480 3.51      0.43
##  [201,]                 9.0                 24.0 0.99695 3.22      0.82
##  [202,]                39.0                145.0 0.99750 3.04      1.03
##  [203,]                16.0                 49.0 0.99545 3.36      0.79
##  [204,]                16.0                 39.0 0.99610 3.34      0.55
##  [205,]                14.0                 37.0 0.99615 3.34      0.56
##  [206,]                 9.0                 28.0 0.99940 3.20      0.77
##  [207,]                 9.0                 28.0 0.99940 3.20      0.77
##  [208,]                26.0                120.0 0.99625 3.29      0.53
##  [209,]                18.0                 95.0 0.99660 3.22      0.67
##  [210,]                 7.0                 19.0 0.99800 3.31      0.88
##  [211,]                 5.0                 19.0 0.99585 3.30      0.86
##  [212,]                10.0                 62.0 0.99685 3.35      0.56
##  [213,]                 5.0                 15.0 0.99800 3.21      0.67
##  [214,]                28.0                 65.0 0.99590 3.30      0.43
##  [215,]                10.0                 41.0 0.99740 3.24      0.71
##  [216,]                26.0                121.0 0.99740 3.34      0.76
##  [217,]                13.0                 49.0 0.99620 3.14      0.57
##  [218,]                11.0                 41.0 0.99670 3.36      0.55
##  [219,]                10.0                 44.0 0.99570 3.39      0.54
##  [220,]                24.0                144.0 0.99655 3.30      0.60
##  [221,]                24.0                 58.0 0.99640 3.34      0.59
##  [222,]                16.0                 72.0 0.99570 3.15      0.57
##  [223,]                 5.0                 10.0 0.99525 3.42      0.60
##  [224,]                 8.0                 28.0 0.99815 3.28      0.60
##  [225,]                15.0                 55.0 0.99745 3.31      0.57
##  [226,]                29.0                 63.0 0.99615 3.37      0.58
##  [227,]                27.0                 81.0 0.99640 3.04      1.61
##  [228,]                 9.0                 23.0 0.99840 3.39      0.63
##  [229,]                29.0                 63.0 0.99615 3.37      0.58
##  [230,]                10.0                 37.0 0.99685 3.46      0.50
##  [231,]                19.0                106.0 0.99270 3.54      0.62
##  [232,]                12.0                 49.0 0.99625 3.37      0.52
##  [233,]                18.0                 58.0 0.99800 3.34      0.70
##  [234,]                10.0                 37.0 0.99685 3.46      0.50
##  [235,]                 7.0                 37.0 0.99685 3.32      0.55
##  [236,]                14.0                 38.0 0.99675 3.37      0.58
##  [237,]                14.0                 38.0 0.99675 3.37      0.58
##  [238,]                15.0                 39.0 0.99675 3.37      0.58
##  [239,]                14.0                 38.0 0.99675 3.37      0.58
##  [240,]                 7.0                 37.0 0.99685 3.32      0.55
##  [241,]                 5.0                 62.0 0.99710 3.00      1.09
##  [242,]                 6.0                 24.0 0.99925 3.14      0.71
##  [243,]                28.0                109.0 0.99565 3.08      0.49
##  [244,]                10.0                 24.0 1.00005 3.07      0.84
##  [245,]                10.0                 24.0 1.00005 3.07      0.84
##  [246,]                 6.0                 23.0 0.99830 3.61      0.96
##  [247,]                16.0                 51.0 0.99685 3.38      0.52
##  [248,]                11.0                 73.0 0.99630 3.20      0.45
##  [249,]                 9.0                 39.0 0.99615 3.35      0.48
##  [250,]                 6.0                 23.0 0.99830 3.61      0.96
##  [251,]                16.0                 37.0 0.99850 3.22      0.78
##  [252,]                16.0                 34.0 0.99720 3.47      0.70
##  [253,]                 5.0                 21.0 0.99860 3.17      0.53
##  [254,]                 8.0                 86.0 0.99590 3.23      0.59
##  [255,]                16.0                 34.0 0.99720 3.47      0.70
##  [256,]                17.0                119.0 0.99675 3.26      0.57
##  [257,]                 5.0                 13.0 0.99800 3.22      0.62
##  [258,]                12.0                 56.0 0.99680 3.49      0.67
##  [259,]                 8.0                 45.0 0.99680 3.06      1.26
##  [260,]                14.0                 33.0 0.99965 3.36      0.80
##  [261,]                18.0                 45.0 0.99625 3.29      0.65
##  [262,]                12.0                 67.0 0.99565 3.35      0.60
##  [263,]                10.0                 35.0 0.99575 3.34      0.57
##  [264,]                23.0                 49.0 0.99630 3.28      0.67
##  [265,]                 5.0                 27.0 0.99990 3.08      0.87
##  [266,]                 6.0                 10.0 0.99680 3.20      0.72
##  [267,]                26.0                 61.0 1.00025 3.60      0.72
##  [268,]                15.0                 37.0 0.99730 3.35      0.86
##  [269,]                 7.0                 27.0 0.99870 3.69      0.91
##  [270,]                 4.0                 23.0 0.99960 3.28      0.97
##  [271,]                27.0                 61.0 0.99650 3.36      0.67
##  [272,]                 4.0                 23.0 0.99960 3.28      0.97
##  [273,]                17.0                 65.0 0.99935 3.22      0.78
##  [274,]                10.0                 38.0 0.99735 3.31      0.64
##  [275,]                27.0                 94.0 0.99915 3.38      0.77
##  [276,]                27.0                 61.0 0.99650 3.36      0.67
##  [277,]                 7.0                 27.0 0.99870 3.69      0.91
##  [278,]                 4.0                 23.0 0.99960 3.28      0.97
##  [279,]                 5.0                 13.0 0.99760 3.23      0.82
##  [280,]                10.0                 47.0 0.99910 3.38      0.77
##  [281,]                 6.0                 19.0 0.99860 3.12      0.82
##  [282,]                 5.0                 10.0 0.99720 3.25      1.08
##  [283,]                12.0                 53.0 0.99710 3.36      0.57
##  [284,]                10.0                 47.0 0.99910 3.38      0.77
##  [285,]                32.0                 71.0 1.00015 3.31      0.71
##  [286,]                32.0                 71.0 1.00015 3.31      0.71
##  [287,]                25.0                 49.0 0.99970 3.10      0.76
##  [288,]                29.0                 53.0 0.99670 3.37      0.70
##  [289,]                20.0                 49.0 0.99760 3.34      0.86
##  [290,]                33.0                 98.0 1.00100 3.20      0.95
##  [291,]                20.0                 49.0 0.99760 3.34      0.86
##  [292,]                 6.0                 18.0 0.99790 3.30      0.71
##  [293,]                18.0                 48.0 0.99940 3.22      0.64
##  [294,]                 5.0                 16.0 0.99640 3.41      0.60
##  [295,]                17.0                 53.0 1.00140 3.05      0.81
##  [296,]                 5.0                 27.0 1.00010 3.05      0.64
##  [297,]                26.0                 70.0 0.99810 3.16      0.52
##  [298,]                 8.0                 29.0 0.99855 3.67      0.73
##  [299,]                 5.0                 31.0 0.99930 3.67      0.80
##  [300,]                 8.0                 33.0 0.99845 3.68      0.71
##  [301,]                20.0                 44.0 0.99650 3.38      0.59
##  [302,]                 7.0                 15.0 0.99730 3.22      0.64
##  [303,]                12.0                 28.0 0.99940 3.51      0.72
##  [304,]                 5.0                 21.0 0.99600 3.39      0.54
##  [305,]                12.0                 90.0 0.99730 3.20      0.52
##  [306,]                 6.0                 25.0 0.99980 3.12      0.59
##  [307,]                 7.0                 54.0 0.99660 3.36      0.52
##  [308,]                 6.0                 14.0 0.99940 3.19      0.62
##  [309,]                 5.0                 12.0 0.99940 3.19      0.63
##  [310,]                 9.0                 30.0 0.99680 3.41      0.53
##  [311,]                 6.0                 25.0 0.99980 3.12      0.59
##  [312,]                15.0                105.0 0.99600 3.27      0.54
##  [313,]                19.0                 98.0 0.99815 3.32      0.63
##  [314,]                30.0                135.0 0.99760 3.30      0.53
##  [315,]                26.0                 72.0 0.99645 3.39      0.68
##  [316,]                20.0                 53.0 0.99620 3.42      0.65
##  [317,]                37.0                 92.0 0.99960 3.30      0.65
##  [318,]                30.0                 74.0 0.99865 3.30      0.64
##  [319,]                21.0                 59.0 0.99890 3.37      0.71
##  [320,]                30.0                 74.0 0.99865 3.30      0.64
##  [321,]                21.0                 59.0 0.99890 3.37      0.71
##  [322,]                25.0                 87.0 0.99975 3.24      0.62
##  [323,]                 6.0                 18.0 0.99735 3.29      0.63
##  [324,]                35.0                 73.0 0.99900 3.28      0.70
##  [325,]                13.0                 50.0 1.00150 3.16      0.69
##  [326,]                13.0                 50.0 1.00150 3.16      0.69
##  [327,]                 6.0                 14.0 0.99780 3.05      0.74
##  [328,]                 5.0                 13.0 0.99800 3.28      0.83
##  [329,]                 6.0                 21.0 1.00020 3.16      0.67
##  [330,]                 7.0                 15.0 0.99810 3.18      0.62
##  [331,]                10.0                 41.0 0.99800 3.23      0.66
##  [332,]                10.0                 41.0 0.99800 3.23      0.66
##  [333,]                21.0                114.0 0.99730 3.22      0.54
##  [334,]                16.0                 44.0 0.99580 3.13      0.52
##  [335,]                17.0                 38.0 0.99630 3.34      0.74
##  [336,]                 7.0                 21.0 0.99920 3.17      0.84
##  [337,]                 6.0                 16.0 0.99480 3.35      0.70
##  [338,]                29.0                 58.0 0.99740 3.31      0.64
##  [339,]                28.0                 99.0 1.00080 3.16      1.00
##  [340,]                12.0                 29.0 0.99970 3.11      1.36
##  [341,]                10.0                 21.0 1.00000 3.12      1.18
##  [342,]                 5.0                 18.0 0.99720 3.21      0.87
##  [343,]                 6.0                 14.0 0.99820 3.30      0.75
##  [344,]                 6.0                 14.0 0.99820 3.30      0.75
##  [345,]                 6.0                 32.0 1.00060 3.12      0.78
##  [346,]                40.0                 63.0 0.99790 3.60      0.81
##  [347,]                17.0                 34.0 0.99550 3.58      0.89
##  [348,]                 6.0                 15.0 0.99860 3.02      0.93
##  [349,]                15.0                 46.0 0.99790 3.11      0.92
##  [350,]                11.0                 28.0 0.99940 3.36      0.86
##  [351,]                17.0                 34.0 1.00040 3.28      0.98
##  [352,]                11.0                 26.0 0.99940 3.35      0.83
##  [353,]                 8.0                 19.0 0.99740 3.27      0.73
##  [354,]                23.0                 77.0 1.00180 3.18      0.77
##  [355,]                40.5                165.0 0.99120 3.25      0.59
##  [356,]                17.0                 32.0 0.99550 3.55      0.61
##  [357,]                29.0                 55.0 1.00010 3.26      0.88
##  [358,]                12.0                 29.0 0.99700 3.24      0.75
##  [359,]                10.0                 23.0 1.00000 3.15      0.85
##  [360,]                10.0                 41.0 1.00100 3.17      0.68
##  [361,]                14.0                 81.0 0.99730 3.19      0.70
##  [362,]                21.0                 50.0 0.99820 3.37      0.91
##  [363,]                 6.0                 37.0 0.99920 3.05      0.56
##  [364,]                 6.0                 15.0 0.99880 2.99      0.87
##  [365,]                 7.0                 42.0 1.00220 3.07      0.73
##  [366,]                 7.0                 21.0 0.99790 3.26      0.93
##  [367,]                 7.0                 42.0 1.00220 3.07      0.73
##  [368,]                11.0                 24.0 1.00000 3.16      0.69
##  [369,]                15.0                 75.0 0.99980 3.18      0.64
##  [370,]                 6.0                 18.0 0.99620 3.20      1.13
##  [371,]                35.0                 63.0 0.99750 3.57      0.78
##  [372,]                11.0                 25.0 0.99670 3.32      0.87
##  [373,]                26.0                 46.0 0.99670 3.32      1.04
##  [374,]                12.0                 72.0 0.99590 3.05      0.63
##  [375,]                 6.0                 47.0 1.00140 3.01      0.81
##  [376,]                 6.0                 15.0 0.99840 3.01      0.83
##  [377,]                19.0                 47.0 1.00030 3.26      1.11
##  [378,]                 6.0                 18.0 0.99620 3.20      1.13
##  [379,]                 6.0                 24.0 0.99880 3.11      0.99
##  [380,]                24.0                 60.0 0.99790 3.31      0.70
##  [381,]                11.0                 27.0 0.99740 3.21      0.80
##  [382,]                17.0                 43.0 1.00140 3.06      0.80
##  [383,]                11.0                 27.0 0.99740 3.21      0.80
##  [384,]                11.0                 27.0 0.99740 3.21      0.80
##  [385,]                23.0                 54.0 0.99800 3.42      0.74
##  [386,]                11.0                 37.0 0.99790 3.43      0.76
##  [387,]                23.0                 48.0 0.99810 3.41      0.74
##  [388,]                17.0                 42.0 0.99720 3.31      0.54
##  [389,]                23.0                 53.0 0.99810 3.43      0.74
##  [390,]                16.0                 49.0 0.99820 3.19      0.70
##  [391,]                12.0                 88.0 0.99240 3.56      0.82
##  [392,]                17.0                 43.0 1.00140 3.06      0.80
##  [393,]                 6.0                 26.0 0.99800 3.18      0.51
##  [394,]                13.0                 95.0 0.99700 3.16      0.54
##  [395,]                 6.0                 25.0 0.99970 3.03      0.57
##  [396,]                 7.0                 38.0 1.00040 3.22      0.60
##  [397,]                68.0                124.0 0.99940 3.47      0.53
##  [398,]                13.0                 49.0 0.99880 3.18      0.65
##  [399,]                13.0                 49.0 0.99880 3.18      0.65
##  [400,]                 9.0                 42.0 0.99630 3.10      0.55
##  [401,]                68.0                124.0 0.99940 3.47      0.53
##  [402,]                20.0                 38.0 0.99490 3.29      0.47
##  [403,]                19.0                 64.0 1.00000 3.10      0.61
##  [404,]                10.0                 41.0 0.99940 3.15      0.63
##  [405,]                15.0                 27.0 0.99740 3.26      0.61
##  [406,]                11.0                 25.0 0.99660 3.36      0.76
##  [407,]                 9.0                 28.0 0.99810 3.24      0.65
##  [408,]                12.0                 30.0 0.99960 3.18      0.63
##  [409,]                 6.0                 16.0 0.99700 3.19      0.70
##  [410,]                26.0                 49.0 0.99810 3.05      0.57
##  [411,]                26.0                 86.0 0.99870 3.38      0.62
##  [412,]                23.0                 78.0 0.99870 3.38      0.62
##  [413,]                15.0                 77.0 0.99660 3.27      0.64
##  [414,]                 6.0                 19.0 0.99860 3.27      0.82
##  [415,]                24.0                122.0 0.99820 3.26      0.61
##  [416,]                31.0                134.0 1.00140 3.32      1.07
##  [417,]                 6.0                 20.0 0.99700 3.26      0.66
##  [418,]                34.0                124.0 0.99560 3.44      0.48
##  [419,]                 7.0                 20.0 0.99960 3.24      0.76
##  [420,]                34.0                 52.0 0.99760 3.62      0.68
##  [421,]                35.0                 67.0 0.99720 3.28      0.73
##  [422,]                32.0                 48.0 0.99520 3.52      0.56
##  [423,]                15.0                 60.0 0.99550 3.36      0.44
##  [424,]                 6.0                 24.0 0.99780 3.15      0.90
##  [425,]                15.0                 60.0 0.99550 3.36      0.44
##  [426,]                32.0                 48.0 0.99520 3.52      0.56
##  [427,]                19.0                 48.0 0.99490 3.49      0.49
##  [428,]                 6.0                 32.0 0.99880 3.26      0.56
##  [429,]                 9.0                 30.0 0.99780 3.24      0.60
##  [430,]                13.0                 35.0 0.99970 3.10      0.60
##  [431,]                 6.0                 24.0 0.99780 3.15      0.90
##  [432,]                21.0                 66.0 0.99740 3.25      0.56
##  [433,]                12.0                 24.0 0.99580 3.00      0.65
##  [434,]                 6.0                 18.0 1.00040 3.16      0.49
##  [435,]                22.0                 54.0 0.99960 3.15      0.89
##  [436,]                 6.0                 18.0 1.00040 3.16      0.49
##  [437,]                38.0                 62.0 0.99580 3.26      0.56
##  [438,]                 6.0                 22.0 0.99860 3.17      0.66
##  [439,]                22.0                 54.0 0.99960 3.15      0.89
##  [440,]                 7.0                 50.0 0.99510 3.08      0.60
##  [441,]                 6.0                 29.0 0.99870 2.88      0.82
##  [442,]                 7.0                 27.0 0.99880 3.06      0.68
##  [443,]                 6.0                 43.0 1.00320 2.95      0.68
##  [444,]                11.0                 19.0 0.99630 3.23      0.63
##  [445,]                 5.0                 27.0 0.99340 3.57      0.84
##  [446,]                 6.0                 31.0 0.99860 3.23      0.56
##  [447,]                31.0                 72.0 0.99960 3.10      0.73
##  [448,]                 6.0                 16.0 0.99680 3.22      0.72
##  [449,]                 7.0                 27.0 0.99670 3.20      0.56
##  [450,]                17.0                 35.0 0.99940 3.10      0.61
##  [451,]                17.0                 35.0 0.99940 3.10      0.61
##  [452,]                 9.0                 26.0 0.99790 3.06      1.06
##  [453,]                18.0                 35.0 0.99680 3.44      0.63
##  [454,]                 5.0                 22.0 0.99980 3.26      0.74
##  [455,]                21.0                 67.0 0.99520 3.50      0.63
##  [456,]                 6.0                 19.0 0.99880 3.22      0.69
##  [457,]                 5.0                 22.0 0.99860 3.37      0.58
##  [458,]                29.0                 65.0 0.99880 3.28      0.58
##  [459,]                 5.0                 22.0 0.99980 3.26      0.74
##  [460,]                10.0                 47.0 1.00080 3.25      0.57
##  [461,]                14.0                 23.0 0.99760 3.35      0.61
##  [462,]                 6.0                 19.0 0.99820 3.26      0.61
##  [463,]                10.0                 25.0 0.99700 3.18      0.61
##  [464,]                25.0                129.0 0.99720 3.08      0.53
##  [465,]                 5.0                 15.0 0.99870 2.98      0.70
##  [466,]                10.0                 26.0 1.00060 3.48      0.91
##  [467,]                21.0                 51.0 0.99820 3.16      0.72
##  [468,]                 7.0                 18.0 0.99470 3.32      0.79
##  [469,]                 6.0                 21.0 1.00000 3.17      0.62
##  [470,]                36.0                 48.0 0.99520 3.20      0.58
##  [471,]                15.0                 47.0 0.99960 3.05      0.61
##  [472,]                25.0                 52.0 0.99700 3.20      0.71
##  [473,]                25.0                 68.0 0.99950 3.15      0.82
##  [474,]                 5.0                 14.0 0.99710 3.26      0.79
##  [475,]                10.0                 24.0 0.99820 3.20      0.89
##  [476,]                 5.0                 28.0 0.99880 3.14      0.60
##  [477,]                 6.0                 16.0 0.99800 3.28      0.70
##  [478,]                 6.0                 20.0 0.99770 3.18      1.06
##  [479,]                 5.0                 28.0 0.99880 3.14      0.60
##  [480,]                 6.0                 31.0 0.99840 3.19      0.70
##  [481,]                 6.0                 23.0 1.00260 3.12      0.66
##  [482,]                 6.0                 17.0 0.99640 3.15      0.92
##  [483,]                 6.0                 18.0 0.99860 3.04      1.05
##  [484,]                 7.0                 18.0 0.99860 3.04      1.06
##  [485,]                 6.0                 24.0 0.99700 3.06      0.66
##  [486,]                 6.0                 17.0 0.99760 3.17      0.47
##  [487,]                 6.0                 17.0 0.99760 3.17      0.47
##  [488,]                 5.0                 14.0 0.99820 3.17      0.42
##  [489,]                35.0                 67.0 1.00020 3.32      0.92
##  [490,]                10.0                 26.0 0.99840 3.34      0.75
##  [491,]                24.0                 56.0 0.99840 3.31      0.67
##  [492,]                12.0                 25.0 0.99520 3.34      0.79
##  [493,]                13.0                 27.0 0.99500 3.32      0.90
##  [494,]                23.0                 81.0 1.00020 3.48      0.74
##  [495,]                28.0                 91.0 0.99520 3.44      0.55
##  [496,]                 5.0                 16.0 0.99720 3.15      0.65
##  [497,]                14.0                 38.0 0.99840 3.43      0.65
##  [498,]                43.0                113.0 0.99660 3.32      0.79
##  [499,]                 5.0                 16.0 0.99720 3.15      0.65
##  [500,]                23.0                 81.0 1.00020 3.48      0.74
##  [501,]                14.0                 38.0 0.99840 3.43      0.65
##  [502,]                38.0                 76.0 0.99900 3.17      0.85
##  [503,]                38.0                 76.0 0.99900 3.17      0.85
##  [504,]                 6.0                 24.0 0.99760 3.18      1.04
##  [505,]                 6.0                 22.0 0.99760 3.21      1.05
##  [506,]                10.0                 26.0 0.99680 3.16      0.78
##  [507,]                 6.0                 21.0 0.99760 3.25      1.02
##  [508,]                 6.0                 13.0 1.00000 3.17      0.71
##  [509,]                26.0                 62.0 0.99940 3.18      0.63
##  [510,]                23.0                 43.0 0.99860 3.04      0.68
##  [511,]                19.0                 43.0 0.99780 3.02      0.61
##  [512,]                26.0                 62.0 0.99940 3.18      0.63
##  [513,]                15.0                 49.0 0.99800 3.03      0.81
##  [514,]                 6.0                 15.0 0.99730 3.09      0.66
##  [515,]                 6.0                 15.0 0.99730 3.09      0.66
##  [516,]                34.0                151.0 1.00100 3.31      1.14
##  [517,]                 5.0                 14.0 1.00100 3.25      0.74
##  [518,]                 5.0                 16.0 0.99940 3.16      0.63
##  [519,]                11.0                 32.0 0.99720 3.22      0.68
##  [520,]                39.0                106.0 0.99660 3.36      0.78
##  [521,]                15.0                 33.0 0.99820 3.42      0.90
##  [522,]                16.0                 43.0 0.99800 3.48      0.64
##  [523,]                47.0                133.0 0.99790 3.38      0.99
##  [524,]                38.0                142.0 0.99780 3.22      0.55
##  [525,]                23.0                116.0 0.99760 3.23      0.64
##  [526,]                29.0                 53.0 0.99980 3.24      0.67
##  [527,]                39.0                106.0 0.99660 3.36      0.78
##  [528,]                33.0                 85.0 0.99620 3.39      0.77
##  [529,]                32.0                 55.0 0.99880 3.34      0.75
##  [530,]                 6.0                 33.0 0.99740 3.09      0.57
##  [531,]                 1.0                 28.0 0.99900 3.41      0.87
##  [532,]                12.0                 42.0 1.00040 3.16      0.61
##  [533,]                12.0                 42.0 1.00040 3.16      0.61
##  [534,]                15.0                 33.0 0.99560 3.22      0.66
##  [535,]                13.0                 32.0 1.00000 3.28      0.56
##  [536,]                 1.0                 28.0 0.99900 3.41      0.87
##  [537,]                 6.0                 33.0 0.99740 3.09      0.57
##  [538,]                 5.0                 13.0 0.99720 3.37      0.77
##  [539,]                 5.0                 35.0 1.00140 3.20      0.66
##  [540,]                 5.0                 17.0 0.99960 3.22      0.62
##  [541,]                20.0                 47.0 0.99880 3.26      0.67
##  [542,]                 5.0                 17.0 0.99880 3.21      0.73
##  [543,]                 5.0                 20.0 0.99660 3.12      0.59
##  [544,]                16.0                 53.0 0.99930 3.06      0.72
##  [545,]                 6.0                 15.0 1.00080 2.86      0.79
##  [546,]                38.0                106.0 0.99820 3.08      0.59
##  [547,]                10.0                 28.0 0.99830 3.45      0.78
##  [548,]                 6.0                 21.0 0.99870 3.26      0.86
##  [549,]                27.0                 69.0 0.99940 3.12      0.75
##  [550,]                 6.0                 25.0 0.99750 3.27      0.61
##  [551,]                 9.0                 25.0 0.99580 3.33      0.56
##  [552,]                14.0                 45.0 0.99800 3.19      0.73
##  [553,]                14.0                 44.0 0.99800 3.12      0.74
##  [554,]                32.0                 96.0 0.99340 3.74      0.62
##  [555,]                10.0                 23.0 1.00315 2.92      0.74
##  [556,]                10.0                 23.0 1.00315 2.92      0.74
##  [557,]                10.0                 17.0 1.00020 3.07      0.56
##  [558,]                10.0                 23.0 1.00315 2.92      0.74
##  [559,]                10.0                 17.0 1.00020 3.07      0.56
##  [560,]                 6.0                 47.0 1.00210 3.30      0.68
##  [561,]                 5.0                 19.0 0.99940 3.14      0.57
##  [562,]                26.0                121.0 0.99780 3.23      0.58
##  [563,]                41.0                110.0 0.99820 3.08      0.61
##  [564,]                25.0                 60.0 0.99710 3.31      0.61
##  [565,]                 6.0                 47.0 1.00210 3.30      0.68
##  [566,]                 5.0                 19.0 0.99940 3.14      0.57
##  [567,]                 5.0                 15.0 0.99910 3.32      0.60
##  [568,]                 5.0                 15.0 0.99910 3.32      0.60
##  [569,]                 5.0                 20.0 0.99900 3.31      0.79
##  [570,]                19.0                 42.0 0.99460 3.57      0.57
##  [571,]                10.0                 37.0 1.00030 3.32      0.91
##  [572,]                19.0                 42.0 0.99460 3.57      0.57
##  [573,]                10.0                 28.0 0.99780 3.14      0.61
##  [574,]                14.0                 47.0 0.99910 3.30      0.56
##  [575,]                20.0                 78.0 0.99920 3.19      0.70
##  [576,]                28.0                 46.0 0.99930 3.20      0.80
##  [577,]                 6.0                 14.0 0.99780 3.34      0.52
##  [578,]                18.0                111.0 0.99820 3.30      0.60
##  [579,]                17.0                110.0 0.99820 3.29      0.60
##  [580,]                18.0                 40.0 0.99760 3.14      0.51
##  [581,]                 5.0                 14.0 1.00020 3.19      0.44
##  [582,]                 5.0                 14.0 1.00020 3.19      0.44
##  [583,]                 5.0                 15.0 1.00000 3.19      0.43
##  [584,]                10.0                 21.0 0.99760 2.98      0.66
##  [585,]                54.0                 80.0 1.00020 3.30      0.76
##  [586,]                 8.0                 38.0 0.99800 3.47      0.66
##  [587,]                16.0                 47.0 0.99860 3.12      1.02
##  [588,]                18.0                102.0 0.99670 3.26      0.59
##  [589,]                19.0                 50.0 0.99170 3.72      0.74
##  [590,]                 5.0                 13.0 0.99760 3.05      0.74
##  [591,]                21.0                 75.0 0.99870 3.35      0.57
##  [592,]                23.0                149.0 0.99220 3.12      0.50
##  [593,]                21.0                 75.0 0.99870 3.35      0.57
##  [594,]                 9.0                 43.0 1.00040 3.29      0.58
##  [595,]                20.0                 38.0 0.99780 3.40      0.53
##  [596,]                30.0                109.0 0.99980 3.27      0.57
##  [597,]                 6.0                 24.0 0.99940 3.04      0.60
##  [598,]                 5.0                 18.0 0.99800 3.09      0.63
##  [599,]                 5.0                 30.0 0.99670 3.20      0.48
##  [600,]                11.0                 22.0 1.00000 3.00      0.70
##  [601,]                 7.0                 23.0 0.99620 3.26      0.47
##  [602,]                12.0                 35.0 1.00060 3.10      0.56
##  [603,]                 6.0                 14.0 0.99750 3.30      0.52
##  [604,]                12.0                 35.0 1.00060 3.10      0.56
##  [605,]                14.0                 63.0 0.99840 3.17      0.62
##  [606,]                 6.0                 24.0 0.99840 3.31      0.59
##  [607,]                10.0                 20.0 0.99730 3.34      0.79
##  [608,]                26.0                 52.0 0.99820 3.31      0.53
##  [609,]                11.0                 65.0 1.00260 3.32      0.64
##  [610,]                15.0                 39.0 0.99560 3.56      0.52
##  [611,]                25.0                 57.0 0.99830 3.39      0.54
##  [612,]                 5.0                 16.0 1.00060 2.98      0.54
##  [613,]                18.0                 29.0 0.99650 3.32      0.60
##  [614,]                10.0                 29.0 0.99620 3.26      0.74
##  [615,]                10.0                103.0 0.99690 2.87      1.36
##  [616,]                28.0                 71.0 0.99970 3.50      0.57
##  [617,]                28.0                 71.0 0.99970 3.50      0.57
##  [618,]                14.0                 28.0 0.99820 3.03      0.93
##  [619,]                 4.0                 17.0 1.00060 3.13      0.70
##  [620,]                 6.0                 16.0 0.99880 3.09      0.80
##  [621,]                16.0                112.0 0.99760 3.27      0.61
##  [622,]                14.0                104.0 0.99760 3.28      0.62
##  [623,]                 9.0                 32.0 0.99740 3.13      0.55
##  [624,]                21.0                 45.0 0.99740 3.49      0.96
##  [625,]                21.0                 58.0 0.99970 3.46      0.72
##  [626,]                21.0                 58.0 0.99970 3.46      0.72
##  [627,]                 5.0                 15.0 0.99880 3.36      0.49
##  [628,]                 5.0                 15.0 0.99880 3.36      0.49
##  [629,]                 7.0                 31.0 0.99760 3.27      0.60
##  [630,]                20.0                 84.0 0.99640 3.21      0.61
##  [631,]                 7.0                 31.0 0.99760 3.27      0.60
##  [632,]                 5.0                 19.0 0.99880 3.25      0.63
##  [633,]                21.0                 43.0 0.99640 3.32      0.57
##  [634,]                11.0                 86.0 1.00100 3.43      0.64
##  [635,]                46.0                102.0 0.99640 3.27      0.58
##  [636,]                24.0                 33.0 0.99540 3.27      0.55
##  [637,]                30.0                147.0 0.99790 3.24      0.53
##  [638,]                31.0                145.0 0.99780 3.24      0.53
##  [639,]                 7.0                 23.0 0.99640 3.35      0.65
##  [640,]                25.0                 57.0 0.99700 3.18      1.36
##  [641,]                16.0                 40.0 0.99910 3.39      0.62
##  [642,]                21.0                 68.0 0.99920 3.46      0.63
##  [643,]                16.0                 40.0 0.99910 3.39      0.62
##  [644,]                21.0                 68.0 0.99920 3.46      0.63
##  [645,]                16.0                 40.0 0.99910 3.39      0.62
##  [646,]                 5.0                 11.0 0.99840 3.37      0.69
##  [647,]                 6.0                 20.0 0.99720 3.40      0.63
##  [648,]                 5.0                 14.0 0.99670 3.32      0.58
##  [649,]                10.0                 28.0 0.99640 3.33      0.67
##  [650,]                24.0                148.0 0.99480 3.16      0.57
##  [651,]                 8.0                 32.0 0.99860 2.89      0.50
##  [652,]                35.0                155.0 1.00100 3.41      0.67
##  [653,]                22.0                 71.0 0.99760 2.98      0.84
##  [654,]                 9.0                 30.0 0.99760 3.12      0.54
##  [655,]                 7.0                 29.0 0.99790 3.08      0.46
##  [656,]                20.0                 53.0 1.00040 3.14      0.61
##  [657,]                 8.0                 32.0 0.99860 2.89      0.50
##  [658,]                23.0                 42.0 0.99800 2.92      0.68
##  [659,]                 5.0                 20.0 0.99730 3.32      0.81
##  [660,]                 5.0                 13.0 0.99700 3.41      0.57
##  [661,]                 5.0                 20.0 0.99730 3.32      0.81
##  [662,]                15.0                 42.0 0.99780 3.31      0.64
##  [663,]                 9.0                 27.0 0.99720 3.36      0.70
##  [664,]                 5.0                 13.0 0.99740 3.04      0.79
##  [665,]                15.0                 54.0 1.00000 3.03      0.66
##  [666,]                25.0                 48.0 0.99810 3.14      0.56
##  [667,]                 6.0                 16.0 0.99800 3.18      0.60
##  [668,]                 6.0                 15.0 0.99880 2.94      0.66
##  [669,]                15.0                 31.0 0.99660 3.15      0.57
##  [670,]                 6.0                 15.0 0.99880 2.94      0.66
##  [671,]                30.0                 45.0 0.99590 3.26      0.58
##  [672,]                 5.0                 13.0 0.99680 3.20      0.52
##  [673,]                32.0                151.0 0.99800 3.15      0.53
##  [674,]                 5.0                 13.0 0.99680 3.20      0.52
##  [675,]                 7.0                 17.0 0.99840 3.08      0.67
##  [676,]                12.0                 31.0 0.99840 3.26      0.65
##  [677,]                 7.0                 17.0 0.99840 3.08      0.67
##  [678,]                12.0                 31.0 0.99790 3.40      0.48
##  [679,]                45.0                 87.0 0.99830 3.48      0.53
##  [680,]                20.0                 49.0 0.99720 3.13      0.54
##  [681,]                15.0                 40.0 1.00040 3.06      0.49
##  [682,]                16.0                 29.0 0.99620 3.21      0.49
##  [683,]                32.0                 58.0 0.99800 3.33      0.54
##  [684,]                 5.0                 15.0 0.99700 3.37      0.56
##  [685,]                35.0                152.0 0.99800 3.25      0.48
##  [686,]                 5.0                 15.0 0.99700 3.37      0.56
##  [687,]                13.0                 40.0 0.99700 3.44      0.60
##  [688,]                13.0                 38.0 0.99980 3.28      0.59
##  [689,]                 4.0                  9.0 0.99620 3.40      0.47
##  [690,]                 5.0                 17.0 0.99760 3.30      1.05
##  [691,]                 5.0                 14.0 0.99660 3.63      0.54
##  [692,]                12.0                 93.0 0.99980 3.48      0.54
##  [693,]                16.0                 62.0 0.99790 3.03      1.17
##  [694,]                21.0                122.0 0.99840 3.32      0.62
##  [695,]                24.0                125.0 0.99840 3.31      0.61
##  [696,]                18.0                 44.0 0.99210 3.90      0.62
##  [697,]                 8.0                 25.0 0.99720 3.47      0.67
##  [698,]                 8.0                 25.0 0.99720 3.47      0.67
##  [699,]                18.0                 72.0 1.00010 3.31      0.53
##  [700,]                 5.0                 19.0 0.99860 3.11      0.62
##  [701,]                26.0                 88.0 0.99840 3.08      0.57
##  [702,]                 8.0                 25.0 0.99720 3.47      0.67
##  [703,]                 9.0                 23.0 0.99700 3.47      0.67
##  [704,]                22.0                 84.0 0.99720 3.32      0.70
##  [705,]                 4.0                 14.0 0.99800 3.29      0.54
##  [706,]                11.0                 54.0 0.99900 3.37      0.49
##  [707,]                10.0                 19.0 0.99560 3.40      0.47
##  [708,]                16.0                 37.0 0.99660 3.37      0.51
##  [709,]                11.0                 35.0 0.99600 3.34      0.61
##  [710,]                13.0                 33.0 0.99830 3.27      0.66
##  [711,]                21.0                 84.0 0.99850 3.06      0.57
##  [712,]                16.0                112.0 0.99980 3.38      0.61
##  [713,]                13.0                 33.0 0.99920 3.36      0.45
##  [714,]                10.0                 48.0 0.99760 3.34      0.46
##  [715,]                21.0                 77.0 0.99800 3.28      0.51
##  [716,]                13.0                 34.0 0.99670 3.29      0.48
##  [717,]                10.0                 48.0 0.99760 3.34      0.46
##  [718,]                12.0                 49.0 0.99680 3.21      0.57
##  [719,]                10.0                 22.0 0.99760 3.22      0.44
##  [720,]                17.0                 45.0 0.99760 3.46      0.54
##  [721,]                10.0                 22.0 0.99760 3.22      0.44
##  [722,]                35.0                106.0 0.99820 3.10      0.53
##  [723,]                15.0                 48.0 0.99680 3.21      0.59
##  [724,]                36.0                127.0 0.99650 2.94      1.62
##  [725,]                 5.0                 12.0 0.99580 3.54      0.60
##  [726,]                 5.0                 13.0 0.99760 3.29      0.55
##  [727,]                18.0                 49.0 0.99940 3.43      0.72
##  [728,]                 4.0                 11.0 0.99700 3.46      0.68
##  [729,]                 4.0                 11.0 0.99700 3.46      0.68
##  [730,]                27.0                 58.0 0.99500 3.61      0.49
##  [731,]                12.0                 37.0 0.99820 3.17      0.67
##  [732,]                 4.0                 14.0 0.99940 3.44      0.52
##  [733,]                10.0                 19.0 0.99660 3.39      0.47
##  [734,]                16.0                 72.0 0.99800 3.55      0.60
##  [735,]                 9.0                 39.0 0.99870 3.48      0.62
##  [736,]                11.0                 22.0 0.99630 3.26      0.50
##  [737,]                11.0                 22.0 0.99630 3.26      0.50
##  [738,]                19.0                 58.0 1.00020 3.50      0.65
##  [739,]                28.0                104.0 0.99830 3.10      0.56
##  [740,]                19.0                 38.0 0.99900 3.35      0.60
##  [741,]                12.0                 16.0 0.99650 3.45      0.68
##  [742,]                28.0                139.0 0.99788 3.21      0.57
##  [743,]                 9.0                 18.0 0.99720 3.46      0.65
##  [744,]                25.0                101.0 1.00024 3.13      0.53
##  [745,]                21.0                101.0 1.00010 3.13      0.51
##  [746,]                12.0                 28.0 0.99768 3.52      0.73
##  [747,]                12.0                 57.0 0.99780 3.30      0.47
##  [748,]                16.0                 68.0 0.99782 3.30      0.48
##  [749,]                12.0                 31.0 0.99761 3.52      0.72
##  [750,]                12.0                 28.0 0.99768 3.52      0.73
##  [751,]                17.0                 40.0 0.99803 3.29      0.55
##  [752,]                17.0                 40.0 0.99803 3.29      0.55
##  [753,]                24.0                 66.0 0.99785 3.39      0.61
##  [754,]                17.0                 40.0 0.99803 3.29      0.55
##  [755,]                14.0                 32.0 0.99656 3.09      1.06
##  [756,]                22.0                 47.0 0.99525 3.51      0.43
##  [757,]                15.0                 33.0 0.99488 3.60      0.46
##  [758,]                10.0                 31.0 0.99656 3.25      0.50
##  [759,]                10.0                 31.0 0.99656 3.25      0.50
##  [760,]                33.0                 88.0 0.99823 3.19      0.52
##  [761,]                 9.0                104.0 0.99779 3.23      0.57
##  [762,]                 5.0                 35.0 0.99738 3.25      0.42
##  [763,]                 8.0                 19.0 0.99701 3.31      0.53
##  [764,]                 5.0                 35.0 0.99738 3.25      0.42
##  [765,]                11.0                 44.0 0.99888 3.31      0.55
##  [766,]                12.0                 48.0 0.99888 3.31      0.54
##  [767,]                12.0                 74.0 0.99738 3.14      0.54
##  [768,]                13.0                 98.0 0.99938 3.45      0.62
##  [769,]                24.0                 94.0 0.99744 3.55      0.53
##  [770,]                 7.0                 32.0 0.99668 3.39      0.54
##  [771,]                24.0                 94.0 0.99744 3.55      0.53
##  [772,]                23.0                143.0 0.99780 3.28      0.55
##  [773,]                23.0                144.0 0.99782 3.27      0.55
##  [774,]                 1.0                 44.0 0.99730 3.30      0.92
##  [775,]                 2.0                 45.0 0.99727 3.31      0.91
##  [776,]                 7.0                 16.0 0.99586 3.43      0.46
##  [777,]                 5.5                 48.0 0.99612 3.40      0.60
##  [778,]                 6.0                 18.0 0.99610 3.40      0.59
##  [779,]                 7.0                 34.0 0.99788 3.36      0.61
##  [780,]                21.0                 92.0 0.99745 3.50      0.60
##  [781,]                12.0                 45.0 0.99676 3.31      0.60
##  [782,]                 9.0                 37.0 0.99732 3.66      0.65
##  [783,]                26.0                 96.0 0.99814 3.36      0.53
##  [784,]                 9.0                 37.0 0.99732 3.66      0.65
##  [785,]                20.0                 85.0 0.99746 3.55      0.59
##  [786,]                11.0                 61.0 0.99820 3.21      0.50
##  [787,]                11.0                 61.0 0.99820 3.21      0.50
##  [788,]                19.0                 58.0 0.99910 3.18      0.56
##  [789,]                19.0                 58.0 0.99910 3.18      0.56
##  [790,]                21.0                119.0 0.99800 3.09      0.52
##  [791,]                18.0                 82.0 0.99708 3.33      0.68
##  [792,]                25.0                130.0 0.99818 3.23      0.54
##  [793,]                17.0                 87.0 0.99745 3.48      0.60
##  [794,]                 7.0                 13.0 0.99639 3.38      0.56
##  [795,]                 7.0                 26.0 0.99531 3.17      0.53
##  [796,]                 7.0                 60.0 0.99786 2.99      1.18
##  [797,]                24.0                 64.0 0.99746 3.10      0.74
##  [798,]                21.0                 42.0 0.99526 3.24      0.81
##  [799,]                 5.0                 14.0 0.99870 3.29      0.52
##  [800,]                 5.0                 14.0 0.99870 3.29      0.52
##  [801,]                26.0                108.0 0.99641 3.25      0.51
##  [802,]                 8.0                 17.0 0.99735 3.23      0.44
##  [803,]                14.0                 86.0 0.99264 3.56      0.94
##  [804,]                14.0                 46.0 0.99710 3.24      0.66
##  [805,]                 4.0                 18.0 0.99682 3.26      0.57
##  [806,]                 4.0                 10.0 0.99356 3.33      0.70
##  [807,]                 4.0                 10.0 0.99386 3.27      0.71
##  [808,]                 4.0                 10.0 0.99356 3.33      0.70
##  [809,]                 4.0                 12.0 0.99702 3.26      0.86
##  [810,]                 4.0                 15.0 0.99693 3.22      0.55
##  [811,]                 4.0                 14.0 0.99562 3.30      0.47
##  [812,]                 7.0                 24.0 1.00012 3.09      0.68
##  [813,]                20.0                 38.0 0.99818 3.24      0.71
##  [814,]                 4.0                  7.0 0.99462 3.44      0.58
##  [815,]                19.0                 41.0 0.99939 3.21      0.76
##  [816,]                20.0                 38.0 0.99818 3.24      0.71
##  [817,]                 8.0                 30.0 0.99840 3.23      0.58
##  [818,]                19.0                 27.0 0.99545 3.28      0.73
##  [819,]                21.0                 47.0 0.99632 3.29      0.45
##  [820,]                 9.0                 59.0 0.99976 3.28      0.54
##  [821,]                 9.0                 22.0 0.99606 3.34      0.60
##  [822,]                16.0                 42.0 0.99154 3.71      0.74
##  [823,]                15.0                 36.0 0.99730 3.61      0.64
##  [824,]                15.0                 36.0 0.99730 3.61      0.64
##  [825,]                 6.0                 16.0 0.99682 3.24      0.53
##  [826,]                15.0                 37.0 0.99624 3.36      0.49
##  [827,]                 4.0                  8.0 0.99510 3.40      0.64
##  [828,]                15.0                 37.0 0.99624 3.36      0.49
##  [829,]                34.0                 45.0 0.99417 3.46      0.74
##  [830,]                16.0                 24.0 0.99376 3.56      0.77
##  [831,]                 5.0                  9.0 0.99632 3.38      0.55
##  [832,]                16.0                 24.0 0.99376 3.56      0.77
##  [833,]                34.0                 48.0 0.99832 3.38      0.86
##  [834,]                36.0                 51.0 0.99836 3.38      0.86
##  [835,]                16.0                 23.0 0.99694 3.32      0.47
##  [836,]                27.0                 55.0 0.99655 3.39      0.51
##  [837,]                36.0                100.0 0.99064 3.26      0.39
##  [838,]                36.0                100.0 0.99064 3.26      0.39
##  [839,]                 9.0                 28.0 0.99672 3.24      0.83
##  [840,]                13.0                 26.0 0.99647 3.46      0.47
##  [841,]                 9.0                 34.0 0.99736 3.24      0.77
##  [842,]                21.0                 31.0 0.99629 3.45      0.63
##  [843,]                34.0                 68.0 0.99708 3.23      0.72
##  [844,]                 9.0                 92.0 0.99630 3.28      0.62
##  [845,]                26.0                 42.0 0.99590 3.18      0.83
##  [846,]                14.0                 31.0 0.99689 3.59      0.66
##  [847,]                14.0                 31.0 0.99689 3.59      0.66
##  [848,]                12.0                 39.0 0.99770 3.50      0.70
##  [849,]                14.0                 31.0 0.99689 3.59      0.66
##  [850,]                12.0                 32.0 0.99689 3.58      0.66
##  [851,]                 9.0                 22.0 0.99708 3.28      0.55
##  [852,]                 9.0                 22.0 0.99708 3.28      0.55
##  [853,]                26.0                122.0 0.99801 3.22      1.07
##  [854,]                41.0                 55.0 0.99652 3.47      0.73
##  [855,]                41.0                 55.0 0.99652 3.47      0.73
##  [856,]                10.0                 14.0 0.99538 3.51      0.71
##  [857,]                41.0                 55.0 0.99652 3.47      0.73
##  [858,]                16.0                 47.0 0.99594 3.40      0.78
##  [859,]                17.0                 32.0 0.99686 3.15      0.67
##  [860,]                15.0                 24.0 0.99438 3.40      0.82
##  [861,]                15.0                 85.0 0.99746 3.51      0.54
##  [862,]                15.0                 88.0 0.99357 3.66      0.60
##  [863,]                 7.0                 25.0 0.99628 3.24      0.44
##  [864,]                17.0                 84.0 0.99746 3.51      0.53
##  [865,]                15.0                 85.0 0.99746 3.51      0.54
##  [866,]                16.0                 86.0 0.99748 3.51      0.54
##  [867,]                13.0                 24.0 0.99438 3.41      0.83
##  [868,]                13.0                 22.0 0.99438 3.40      0.84
##  [869,]                15.0                 24.0 0.99438 3.40      0.82
##  [870,]                27.0                 43.0 0.99578 3.44      0.64
##  [871,]                31.0                 43.0 0.99371 3.41      0.57
##  [872,]                36.0                 46.0 0.99522 3.53      0.57
##  [873,]                28.0                 48.0 0.99576 3.43      0.54
##  [874,]                 6.0                 10.0 0.99552 3.23      0.58
##  [875,]                 6.0                 10.0 0.99664 3.12      0.65
##  [876,]                 7.0                 16.0 0.99614 3.31      0.79
##  [877,]                 7.0                 14.0 0.99517 3.40      0.58
##  [878,]                31.0                 43.0 0.99371 3.41      0.57
##  [879,]                30.0                 69.0 0.99787 3.22      0.50
##  [880,]                18.0                 88.0 0.99745 3.53      0.55
##  [881,]                10.0                 21.0 0.99576 3.15      0.49
##  [882,]                30.0                 35.0 0.99533 3.48      0.65
##  [883,]                14.0                 26.0 0.99536 3.22      0.78
##  [884,]                18.0                 88.0 0.99745 3.53      0.55
##  [885,]                30.0                 69.0 0.99787 3.22      0.50
##  [886,]                 9.0                 30.0 0.99824 3.34      0.64
##  [887,]                 8.0                 28.0 0.99836 3.33      0.65
##  [888,]                29.0                 56.0 0.99577 3.15      0.79
##  [889,]                32.0                 64.0 0.99491 3.43      0.56
##  [890,]                23.0                 99.0 1.00289 3.22      0.68
##  [891,]                30.0                 52.0 0.99576 3.44      0.58
##  [892,]                16.0                 86.0 0.99743 3.53      0.57
##  [893,]                10.0                 18.0 0.99774 3.22      0.65
##  [894,]                16.0                 86.0 0.99743 3.53      0.57
##  [895,]                17.0                 88.0 0.99745 3.53      0.58
##  [896,]                27.0                 43.0 0.99550 3.42      0.58
##  [897,]                17.0                 43.0 0.99444 3.31      0.77
##  [898,]                27.0                 43.0 0.99550 3.42      0.58
##  [899,]                17.0                 43.0 0.99444 3.31      0.77
##  [900,]                 6.0                 11.0 0.99892 3.48      0.49
##  [901,]                10.0                 39.0 0.99562 3.40      0.69
##  [902,]                16.0                 33.0 0.99736 3.58      0.69
##  [903,]                16.0                 33.0 0.99736 3.58      0.69
##  [904,]                11.0                 18.0 0.99620 3.41      0.59
##  [905,]                11.0                 18.0 0.99620 3.41      0.59
##  [906,]                15.0                115.0 0.99800 3.23      0.59
##  [907,]                12.0                 78.0 0.99640 3.39      0.71
##  [908,]                 6.0                  9.0 0.99480 3.59      0.54
##  [909,]                34.0                 61.0 0.99528 3.43      0.59
##  [910,]                 7.0                 11.0 0.99331 3.29      0.52
##  [911,]                 3.0                 11.0 0.99577 3.23      0.57
##  [912,]                 3.0                  9.0 0.99901 3.18      0.60
##  [913,]                 4.0                  8.0 0.99674 3.33      0.62
##  [914,]                 3.0                 10.0 0.99639 3.27      0.64
##  [915,]                 7.0                 11.0 0.99331 3.29      0.52
##  [916,]                 3.0                  6.0 0.99512 3.27      0.67
##  [917,]                 7.0                 62.0 0.99395 3.62      0.61
##  [918,]                26.0                 45.0 0.99824 3.38      0.64
##  [919,]                32.0                 79.0 0.99640 3.30      0.72
##  [920,]                38.0                 46.0 0.99504 3.38      0.89
##  [921,]                10.0                 23.0 0.99786 3.24      0.56
##  [922,]                32.0                 79.0 0.99640 3.30      0.72
##  [923,]                38.0                 46.0 0.99504 3.38      0.89
##  [924,]                26.0                 45.0 0.99824 3.38      0.64
##  [925,]                14.0                 28.0 0.99516 3.18      0.80
##  [926,]                53.0                 77.0 0.99604 3.47      0.87
##  [927,]                52.0                 73.0 0.99786 3.47      0.90
##  [928,]                11.0                 75.0 0.99736 3.20      0.59
##  [929,]                14.0                 28.0 0.99516 3.18      0.80
##  [930,]                10.0                 19.0 0.99468 3.30      0.73
##  [931,]                 8.0                 25.0 0.99746 3.69      0.73
##  [932,]                13.0                 38.0 0.99748 3.48      0.65
##  [933,]                29.0                 66.0 0.99710 3.45      0.59
##  [934,]                13.0                 38.0 0.99748 3.48      0.65
##  [935,]                 8.0                 25.0 0.99746 3.69      0.73
##  [936,]                19.0                 72.0 0.99543 3.39      0.72
##  [937,]                19.0                 72.0 0.99543 3.39      0.72
##  [938,]                 6.0                 26.0 0.99791 3.07      0.60
##  [939,]                23.0                 42.0 0.99356 3.34      0.72
##  [940,]                 7.0                 11.0 0.99425 3.61      0.54
##  [941,]                13.0                 25.0 0.99509 3.36      0.76
##  [942,]                 9.0                 17.0 0.99484 3.19      0.52
##  [943,]                13.0                 52.0 0.99834 3.22      0.64
##  [944,]                10.0                 45.0 0.99864 3.24      0.60
##  [945,]                11.0                 24.0 0.99498 3.27      0.64
##  [946,]                 7.0                 20.0 0.99566 3.14      0.79
##  [947,]                11.0                 24.0 0.99745 3.29      0.99
##  [948,]                 6.0                 12.0 0.99408 3.26      0.62
##  [949,]                10.0                 21.0 0.99552 3.41      0.76
##  [950,]                10.0                 21.0 0.99552 3.41      0.76
##  [951,]                10.0                 21.0 0.99552 3.41      0.76
##  [952,]                 6.0                 12.0 0.99408 3.26      0.62
##  [953,]                 6.0                 10.0 0.99536 3.31      0.68
##  [954,]                 5.0                  9.0 0.99458 3.20      0.69
##  [955,]                 6.0                 11.0 0.99538 3.44      0.54
##  [956,]                 9.0                 23.0 0.99648 3.36      0.67
##  [957,]                 5.0                 10.0 0.99568 3.31      0.62
##  [958,]                12.0                 51.0 0.99613 3.29      0.58
##  [959,]                25.0                 36.0 0.99519 3.47      0.71
##  [960,]                12.0                 32.0 0.99735 3.36      0.61
##  [961,]                18.0                 38.0 0.99518 3.16      0.85
##  [962,]                 7.0                 18.0 0.99592 3.27      0.62
##  [963,]                 6.0                 16.0 0.99654 3.38      0.69
##  [964,]                20.0                 27.0 0.99546 3.15      0.69
##  [965,]                18.0                 38.0 0.99518 3.16      0.85
##  [966,]                24.0                 48.0 0.99554 3.34      0.86
##  [967,]                 6.0                 10.0 0.99604 3.13      0.58
##  [968,]                23.0                113.0 0.99733 3.13      0.48
##  [969,]                29.0                 46.0 0.99430 3.20      0.60
##  [970,]                 7.0                 22.0 0.99669 3.46      0.61
##  [971,]                 6.0                 10.0 0.99724 3.33      0.87
##  [972,]                 6.0                 10.0 0.99724 3.33      0.87
##  [973,]                 6.0                 13.0 0.99643 3.22      0.65
##  [974,]                 6.0                 12.0 0.99605 3.52      0.63
##  [975,]                 7.0                 13.0 0.99658 3.30      0.62
##  [976,]                35.0                 72.0 0.99700 3.44      0.52
##  [977,]                35.0                 72.0 0.99700 3.44      0.52
##  [978,]                31.0                119.0 0.99801 3.15      0.50
##  [979,]                 9.0                 29.0 0.99416 3.28      0.49
##  [980,]                 3.0                  6.0 0.99690 3.13      0.63
##  [981,]                 8.0                 17.0 0.99774 3.32      0.71
##  [982,]                13.0                 28.0 0.99712 3.25      0.62
##  [983,]                51.0                 70.0 0.99418 3.34      0.82
##  [984,]                 8.0                 17.0 0.99774 3.32      0.71
##  [985,]                 3.0                  6.0 0.99690 3.13      0.63
##  [986,]                 7.0                 11.0 0.99562 3.45      0.58
##  [987,]                 3.0                  7.0 0.99470 3.19      0.55
##  [988,]                35.0                 70.0 0.99693 3.44      0.50
##  [989,]                19.0                 27.0 0.99596 3.16      0.49
##  [990,]                14.0                 21.0 0.99556 3.14      0.51
##  [991,]                19.0                 27.0 0.99596 3.16      0.49
##  [992,]                31.0                 68.0 0.99694 3.45      0.48
##  [993,]                30.0                 47.0 0.99554 3.36      0.48
##  [994,]                31.0                 68.0 0.99694 3.45      0.48
##  [995,]                20.0                 88.0 0.99918 3.15      0.43
##  [996,]                19.0                 41.0 0.99697 3.39      0.62
##  [997,]                 3.0                 11.0 0.99378 3.71      0.63
##  [998,]                 3.0                 11.0 0.99378 3.71      0.63
##  [999,]                 4.0                 10.0 0.99554 3.12      0.48
## [1000,]                 7.0                 12.0 0.99162 3.47      0.53
## [1001,]                 6.0                 12.0 0.99495 3.44      0.72
## [1002,]                31.0                 47.0 0.99676 3.26      0.82
## [1003,]                13.0                 27.0 0.99516 3.26      0.84
## [1004,]                 4.0                  8.0 0.99280 3.36      0.55
## [1005,]                27.0                 45.0 0.99603 3.25      0.54
## [1006,]                 4.0                  8.0 0.99280 3.36      0.55
## [1007,]                13.0                 27.0 0.99516 3.26      0.84
## [1008,]                12.0                 25.0 0.99516 3.26      0.84
## [1009,]                12.0                 24.0 0.99549 3.23      0.70
## [1010,]                26.0                 55.0 0.99722 3.18      0.68
## [1011,]                 7.0                 12.0 0.99354 3.25      0.55
## [1012,]                12.0                 19.0 0.99570 3.17      0.55
## [1013,]                11.0                 32.0 0.99604 3.23      0.48
## [1014,]                22.0                 31.0 0.99635 3.38      0.58
## [1015,]                 3.0                  7.0 0.99454 3.22      0.58
## [1016,]                14.0                 27.0 0.99598 3.06      0.84
## [1017,]                12.0                 28.0 0.99486 3.27      0.75
## [1018,]                36.0                109.0 0.99007 2.89      0.44
## [1019,]                36.0                109.0 0.99007 2.89      0.44
## [1020,]                10.0                 23.0 0.99636 3.53      0.61
## [1021,]                 3.0                  8.0 0.99642 3.20      0.53
## [1022,]                 3.0                  8.0 0.99642 3.20      0.53
## [1023,]                 4.0                  9.0 0.99584 3.35      0.54
## [1024,]                 3.0                  9.0 0.99506 3.27      0.55
## [1025,]                12.0                 18.0 0.99568 3.32      0.56
## [1026,]                17.0                 43.0 0.99822 3.33      0.60
## [1027,]                14.0                 36.0 0.99364 3.41      0.56
## [1028,]                28.0                 52.0 0.99378 3.49      0.52
## [1029,]                41.0                 68.0 0.99586 3.37      0.54
## [1030,]                12.0                 18.0 0.99568 3.32      0.56
## [1031,]                 9.0                 14.0 0.99488 3.42      0.55
## [1032,]                 9.0                 15.0 0.99514 3.35      0.58
## [1033,]                 5.0                 14.0 0.99854 3.36      0.53
## [1034,]                14.0                 27.0 0.99592 3.30      0.59
## [1035,]                15.0                 48.0 0.99739 3.20      0.47
## [1036,]                 5.0                 17.0 0.99683 3.17      0.65
## [1037,]                26.0                 35.0 0.99356 3.22      0.59
## [1038,]                20.0                 56.0 0.99672 3.35      0.56
## [1039,]                25.0                 42.0 0.99530 3.24      0.77
## [1040,]                21.0                 39.0 0.99692 3.33      0.83
## [1041,]                16.0                 32.0 0.99756 3.58      0.67
## [1042,]                13.0                 26.0 0.99547 3.38      0.64
## [1043,]                21.0                 39.0 0.99692 3.33      0.83
## [1044,]                18.0                 39.0 0.99859 3.29      0.81
## [1045,]                12.0                 53.0 0.99294 3.36      0.62
## [1046,]                32.0                 38.0 0.99438 3.32      0.58
## [1047,]                33.0                 45.0 0.99612 3.31      0.62
## [1048,]                27.0                 51.0 0.99634 3.49      0.64
## [1049,]                 3.0                 14.0 0.99702 3.27      0.78
## [1050,]                 6.0                 17.0 0.99704 3.27      0.77
## [1051,]                27.0                 51.0 0.99634 3.49      0.64
## [1052,]                16.0                 45.0 0.99702 3.03      1.34
## [1053,]                19.0                 25.0 0.99258 3.56      0.55
## [1054,]                 9.0                 20.0 0.99426 3.38      0.77
## [1055,]                 5.0                 77.0 0.99747 3.13      0.62
## [1056,]                 5.0                 77.0 0.99747 3.13      0.62
## [1057,]                 3.0                 10.0 0.99586 3.21      0.59
## [1058,]                28.0                 90.0 0.99784 3.15      0.57
## [1059,]                30.0                 52.0 0.99710 3.19      0.76
## [1060,]                 3.0                 10.0 0.99586 3.21      0.59
## [1061,]                 3.0                  8.0 0.99810 3.14      0.70
## [1062,]                 7.0                 16.0 0.99462 3.21      0.69
## [1063,]                 6.0                 15.0 0.99560 3.30      0.64
## [1064,]                 6.0                 17.0 0.99565 3.22      0.63
## [1065,]                 5.0                 10.0 0.99418 3.28      0.57
## [1066,]                 6.0                 20.0 0.99630 3.29      0.60
## [1067,]                13.0                 26.0 0.99358 3.40      0.72
## [1068,]                 3.0                 10.0 0.99572 3.02      0.83
## [1069,]                 3.0                 10.0 0.99572 3.02      0.83
## [1070,]                28.0                 52.0 0.99700 3.31      0.62
## [1071,]                19.0                 37.0 0.99498 3.18      0.89
## [1072,]                30.0                 92.0 0.99892 3.20      0.58
## [1073,]                33.0                 75.0 0.99680 3.40      0.58
## [1074,]                16.0                 37.0 0.99720 3.31      0.58
## [1075,]                30.0                 92.0 0.99892 3.20      0.58
## [1076,]                45.0                 67.0 0.99769 3.44      0.86
## [1077,]                 3.0                  8.0 0.99534 3.15      0.73
## [1078,]                 3.0                  8.0 0.99817 3.27      0.58
## [1079,]                 3.0                  8.0 0.99817 3.27      0.58
## [1080,]                37.5                278.0 0.99316 3.01      0.51
## [1081,]                 3.0                  8.0 0.99471 3.16      0.51
## [1082,]                37.5                289.0 0.99316 3.01      0.51
## [1083,]                31.0                 70.0 0.99685 3.42      0.59
## [1084,]                32.0                 59.0 0.99617 3.33      0.77
## [1085,]                31.0                 70.0 0.99685 3.42      0.59
## [1086,]                40.0                 64.0 0.99529 3.12      0.49
## [1087,]                 3.0                  9.0 0.99738 3.38      0.66
## [1088,]                18.0                 30.0 0.99400 3.29      0.69
## [1089,]                22.0                 41.0 0.99735 3.02      0.76
## [1090,]                22.0                 41.0 0.99735 3.02      0.76
## [1091,]                42.0                 74.0 0.99451 2.98      0.63
## [1092,]                 8.0                 19.0 0.99546 3.35      0.60
## [1093,]                10.0                 16.0 0.99479 3.43      0.59
## [1094,]                11.0                 31.0 0.99615 3.33      0.86
## [1095,]                 9.0                 17.0 0.99655 3.35      0.49
## [1096,]                 6.0                 20.0 0.99772 3.15      0.50
## [1097,]                 9.0                 17.0 0.99655 3.35      0.49
## [1098,]                 5.0                 18.0 0.99666 3.20      0.52
## [1099,]                 5.0                 16.0 0.99358 3.15      0.81
## [1100,]                 5.0                 18.0 0.99666 3.20      0.52
## [1101,]                23.0                 36.0 0.99392 3.11      0.78
## [1102,]                14.0                 25.0 0.99388 3.35      0.63
## [1103,]                18.0                 30.0 0.99402 3.45      0.54
## [1104,]                14.0                 25.0 0.99388 3.35      0.63
## [1105,]                16.0                 25.0 0.99360 3.28      0.66
## [1106,]                13.0                 49.0 0.99374 3.41      0.60
## [1107,]                 9.0                 17.0 0.99376 3.21      0.54
## [1108,]                10.0                 24.0 0.99523 3.27      0.85
## [1109,]                 4.0                 13.0 0.99855 3.36      0.49
## [1110,]                27.0                 66.0 0.99820 3.17      0.76
## [1111,]                 6.0                 14.0 0.99593 3.25      0.64
## [1112,]                23.0                 55.0 0.99471 3.78      0.64
## [1113,]                 6.0                 35.0 0.99396 3.29      0.71
## [1114,]                 3.0                 10.0 0.99698 3.12      0.59
## [1115,]                29.0                 80.0 0.99020 3.49      0.66
## [1116,]                15.0                 21.0 0.99572 3.38      0.60
## [1117,]                15.0                 21.0 0.99572 3.38      0.60
## [1118,]                15.0                 21.0 0.99572 3.38      0.60
## [1119,]                14.0                 24.0 0.99252 3.30      0.53
## [1120,]                 7.0                 15.0 0.99256 3.52      0.58
## [1121,]                 8.0                 17.0 0.99235 3.20      0.72
## [1122,]                21.0                 28.0 0.99352 3.44      0.55
## [1123,]                27.0                 33.0 0.99220 3.45      0.48
## [1124,]                17.0                 29.0 0.99674 3.12      0.65
## [1125,]                 3.0                 13.0 0.99557 3.62      0.62
## [1126,]                13.0                 27.0 0.99394 3.14      0.59
## [1127,]                 3.0                 11.0 0.99150 3.39      0.54
## [1128,]                26.0                 52.0 0.99379 3.51      0.60
## [1129,]                28.0                 89.0 0.99840 3.22      0.68
## [1130,]                24.0                 70.0 0.99798 3.21      0.69
## [1131,]                 5.0                 10.0 0.99770 3.18      0.63
## [1132,]                57.0                135.0 0.99341 3.32      0.44
## [1133,]                18.0                 38.0 0.99330 3.38      0.88
## [1134,]                10.0                 18.0 0.99684 3.37      0.68
## [1135,]                 6.0                 15.0 0.99524 3.30      0.74
## [1136,]                22.0                 50.0 0.99460 3.38      0.60
## [1137,]                 6.0                 13.0 0.99774 3.22      0.76
## [1138,]                 6.0                 13.0 0.99774 3.22      0.76
## [1139,]                29.0                 94.0 0.99786 3.14      0.58
## [1140,]                16.0                 86.0 0.99764 3.34      0.64
## [1141,]                33.0                 79.0 0.99690 3.41      0.65
## [1142,]                24.0                 71.0 0.99624 3.27      0.85
## [1143,]                 6.0                 12.0 0.99354 3.30      0.65
## [1144,]                16.0                 20.0 0.99672 3.61      0.82
## [1145,]                35.0                 70.0 0.99588 3.43      0.62
## [1146,]                31.0                 51.0 0.99672 3.53      0.81
## [1147,]                 6.0                 21.0 0.99600 3.28      0.87
## [1148,]                 6.0                 14.0 0.99702 3.21      0.49
## [1149,]                 9.0                 21.0 0.99526 3.39      0.66
## [1150,]                 6.0                 11.0 0.99585 3.23      0.52
## [1151,]                 4.0                 12.0 0.99473 3.30      0.76
## [1152,]                16.0                 70.0 0.99352 3.46      0.65
## [1153,]                 9.0                 38.0 0.99616 3.15      0.53
## [1154,]                17.0                 38.0 0.99622 3.23      0.66
## [1155,]                50.0                 63.0 0.99544 3.59      0.68
## [1156,]                 9.0                 38.0 0.99616 3.15      0.53
## [1157,]                45.0                 88.0 0.99524 3.33      0.76
## [1158,]                16.0                101.0 0.99240 3.46      0.87
## [1159,]                22.0                 54.0 0.99572 3.42      1.16
## [1160,]                11.0                 37.0 0.99728 3.16      0.67
## [1161,]                 6.0                 20.0 0.99676 3.14      0.72
## [1162,]                12.0                 21.0 0.99551 3.21      0.75
## [1163,]                12.0                 19.0 0.99434 3.14      0.71
## [1164,]                10.0                 21.0 0.99692 3.29      0.67
## [1165,]                10.0                 21.0 0.99692 3.29      0.67
## [1166,]                15.0                 38.0 0.99634 3.01      1.10
## [1167,]                 7.0                 60.0 0.99709 2.94      0.98
## [1168,]                29.0                 48.0 0.99528 3.32      0.88
## [1169,]                 8.0                 44.0 0.99384 3.21      0.56
## [1170,]                 5.0                 14.0 0.99502 3.32      0.62
## [1171,]                 5.0                 12.0 0.99667 3.20      0.67
## [1172,]                26.0                 44.0 0.99522 3.42      0.68
## [1173,]                 5.0                 16.0 0.99649 3.27      0.74
## [1174,]                26.0                 65.0 0.99716 3.46      0.62
## [1175,]                26.0                 65.0 0.99716 3.46      0.62
## [1176,]                48.0                 59.0 0.99541 3.61      0.70
## [1177,]                23.0                 47.0 0.99572 3.58      0.50
## [1178,]                 6.0                 11.0 0.99318 3.35      0.66
## [1179,]                17.0                 78.0 0.99346 3.68      0.73
## [1180,]                11.0                 47.0 0.99599 3.27      0.81
## [1181,]                11.0                 47.0 0.99599 3.27      0.81
## [1182,]                 5.0                 11.0 0.99478 3.19      0.46
## [1183,]                41.0                 54.0 0.99754 3.38      0.86
## [1184,]                16.0                 61.0 0.99572 3.29      0.60
## [1185,]                11.0                119.0 0.99538 3.36      0.70
## [1186,]                 6.0                 39.0 0.99346 3.33      0.46
## [1187,]                 6.0                 12.0 0.99630 3.52      0.50
## [1188,]                 6.0                 39.0 0.99346 3.33      0.46
## [1189,]                11.0                119.0 0.99538 3.36      0.70
## [1190,]                 5.0                 19.0 0.99616 3.30      0.44
## [1191,]                 6.0                 20.0 0.99652 3.28      0.57
## [1192,]                 6.0                 12.0 0.99551 3.56      0.51
## [1193,]                11.0                 41.0 0.99439 3.52      0.80
## [1194,]                 6.0                 12.0 0.99551 3.56      0.51
## [1195,]                15.0                 64.0 0.99588 3.22      0.59
## [1196,]                21.0                 56.0 0.99633 3.52      0.60
## [1197,]                23.0                 94.0 0.99686 3.21      0.58
## [1198,]                 4.0                  9.0 0.99458 3.16      0.54
## [1199,]                19.0                 77.0 0.99510 3.15      0.79
## [1200,]                23.0                 94.0 0.99686 3.21      0.58
## [1201,]                 4.0                  9.0 0.99458 3.16      0.54
## [1202,]                 5.0                 10.0 0.99419 3.27      0.54
## [1203,]                 6.0                 12.0 0.99516 3.35      0.69
## [1204,]                33.0                 76.0 0.99878 3.14      0.55
## [1205,]                24.0                 44.0 0.99534 3.40      0.85
## [1206,]                24.0                 44.0 0.99534 3.40      0.85
## [1207,]                24.0                 44.0 0.99534 3.40      0.85
## [1208,]                24.0                 52.0 0.99752 3.35      0.94
## [1209,]                24.0                 44.0 0.99534 3.40      0.85
## [1210,]                14.0                 24.0 0.99428 3.45      0.87
## [1211,]                 8.0                 15.0 0.99498 3.35      0.62
## [1212,]                22.0                 53.0 0.99570 3.32      0.62
## [1213,]                 8.0                 15.0 0.99498 3.35      0.62
## [1214,]                 5.0                 13.0 0.99659 3.15      0.75
## [1215,]                 6.0                  9.0 0.99628 3.10      0.48
## [1216,]                20.0                 29.0 0.99488 3.26      0.56
## [1217,]                10.0                 79.0 0.99677 3.29      0.69
## [1218,]                43.0                 74.0 0.99408 3.23      0.81
## [1219,]                 8.0                 24.0 0.99600 3.24      0.69
## [1220,]                25.0                 50.0 0.99478 3.20      0.83
## [1221,]                17.0                 44.0 0.99734 3.28      0.77
## [1222,]                17.0                 44.0 0.99734 3.28      0.77
## [1223,]                33.0                 89.0 0.99678 3.26      0.46
## [1224,]                 9.0                 23.0 0.99638 3.23      0.76
## [1225,]                 8.0                 20.0 0.99920 3.07      0.82
## [1226,]                18.0                 77.0 0.99922 3.15      0.51
## [1227,]                27.0                 46.0 0.99592 3.02      0.47
## [1228,]                 8.0                 21.0 0.99769 3.27      0.72
## [1229,]                18.0                 88.0 0.99157 3.68      0.73
## [1230,]                19.0                 66.0 0.99718 3.40      0.64
## [1231,]                15.0                 58.0 0.99470 3.37      0.78
## [1232,]                48.0                 90.0 0.99621 3.38      0.62
## [1233,]                19.0                 66.0 0.99718 3.40      0.64
## [1234,]                14.0                 36.0 0.99614 3.23      0.49
## [1235,]                11.0                 18.0 0.99242 3.39      0.40
## [1236,]                 6.0                113.0 0.99572 3.30      0.56
## [1237,]                 7.0                 17.0 0.99659 3.26      0.64
## [1238,]                11.0                 18.0 0.99242 3.39      0.40
## [1239,]                12.0                 24.0 0.99798 3.38      0.46
## [1240,]                11.0                 20.0 0.99488 3.45      0.56
## [1241,]                36.0                 60.0 0.99494 3.10      0.40
## [1242,]                28.0                 65.0 0.99729 3.16      0.59
## [1243,]                15.0                 40.0 0.99414 3.22      0.60
## [1244,]                10.0                 86.0 0.99830 3.37      0.62
## [1245,]                72.0                160.0 0.99721 3.33      0.54
## [1246,]                15.0                 34.0 0.99655 3.49      0.68
## [1247,]                15.0                 48.0 0.99502 3.12      0.48
## [1248,]                15.0                 34.0 0.99655 3.49      0.68
## [1249,]                22.0                 36.0 0.99490 3.41      0.75
## [1250,]                24.0                 37.0 0.99514 3.40      0.61
## [1251,]                24.0                 37.0 0.99514 3.40      0.61
## [1252,]                27.0                 60.0 0.99630 3.28      0.59
## [1253,]                 6.0                 14.0 0.99627 3.45      0.58
## [1254,]                 6.0                 13.0 0.99569 3.43      0.58
## [1255,]                20.0                 35.0 0.99628 3.40      0.69
## [1256,]                26.0                 46.0 0.99358 3.47      0.45
## [1257,]                43.0                 60.0 0.99499 3.10      0.42
## [1258,]                12.0                 69.0 0.99633 3.32      0.70
## [1259,]                15.0                 33.0 0.99538 3.44      0.63
## [1260,]                15.0                 33.0 0.99538 3.44      0.63
## [1261,]                19.0                 56.0 0.99632 3.02      1.15
## [1262,]                17.0                 24.0 0.99437 3.59      0.55
## [1263,]                34.0                 66.0 0.99726 3.15      0.58
## [1264,]                13.0                 26.0 0.99780 3.37      0.46
## [1265,]                26.0                 51.0 0.99456 3.38      0.72
## [1266,]                16.0                 36.0 0.99564 3.38      0.60
## [1267,]                16.0                 36.0 0.99564 3.38      0.60
## [1268,]                13.0                 19.0 0.99600 3.10      0.87
## [1269,]                21.0                 51.0 0.99668 3.47      0.55
## [1270,]                28.0                 87.0 0.99080 3.50      0.82
## [1271,]                26.0                 60.0 0.99084 3.70      0.75
## [1272,]                24.0                 64.0 0.99350 3.38      0.57
## [1273,]                25.0                 44.0 0.99385 3.50      0.53
## [1274,]                34.0                 44.0 0.99494 3.10      0.43
## [1275,]                17.0                 36.0 0.99440 3.24      0.53
## [1276,]                13.0                 81.0 0.99688 3.24      0.54
## [1277,]                 3.0                 10.0 0.99566 3.28      0.56
## [1278,]                 3.0                 10.0 0.99636 3.35      0.60
## [1279,]                13.0                 81.0 0.99688 3.24      0.54
## [1280,]                 3.0                  9.0 0.99480 3.14      0.57
## [1281,]                28.0                 54.0 0.99560 3.37      0.64
## [1282,]                28.0                 54.0 0.99560 3.37      0.64
## [1283,]                 9.0                 22.0 0.99619 3.33      0.68
## [1284,]                17.0                 69.0 0.99734 3.26      0.63
## [1285,]                18.0                 36.0 0.99476 3.39      0.56
## [1286,]                20.0                 47.0 0.99734 3.15      0.57
## [1287,]                17.0                 31.0 0.99328 3.35      0.54
## [1288,]                 3.0                  7.0 0.99286 3.22      0.37
## [1289,]                20.0                110.0 0.99914 3.30      1.17
## [1290,]                20.0                110.0 0.99914 3.30      1.17
## [1291,]                 6.0                 12.0 0.99521 3.36      0.59
## [1292,]                25.0                 60.0 0.99638 3.29      0.75
## [1293,]                14.0                 28.0 0.99362 3.62      0.67
## [1294,]                 6.0                 12.0 0.99672 3.34      0.49
## [1295,]                25.0                 60.0 0.99638 3.29      0.75
## [1296,]                51.0                 77.5 0.99558 3.20      0.45
## [1297,]                51.0                 77.5 0.99558 3.20      0.45
## [1298,]                15.0                 29.0 0.99323 3.35      0.61
## [1299,]                11.0                 18.0 0.99191 3.45      0.56
## [1300,]                 5.0                  9.0 0.99476 3.50      0.40
## [1301,]                15.0                 28.0 0.99444 3.78      0.61
## [1302,]                20.0                 57.0 0.99598 3.60      0.74
## [1303,]                 4.0                 15.0 0.99576 3.30      0.80
## [1304,]                28.0                 68.0 0.99501 3.36      0.66
## [1305,]                21.0                 68.0 0.99550 3.12      0.44
## [1306,]                24.0                 88.0 0.99612 3.30      0.53
## [1307,]                22.0                 91.0 0.99790 3.29      0.62
## [1308,]                15.0                 29.0 0.99524 3.41      0.52
## [1309,]                22.0                 91.0 0.99790 3.29      0.62
## [1310,]                27.0                 63.0 0.99600 3.28      0.61
## [1311,]                24.0                 88.0 0.99612 3.30      0.53
## [1312,]                12.0                 27.0 0.99290 3.33      0.59
## [1313,]                14.0                 41.0 0.99532 3.34      0.47
## [1314,]                20.0                 65.0 0.99558 3.40      0.54
## [1315,]                24.0                 69.0 0.99556 3.40      0.53
## [1316,]                17.0                 91.0 0.99616 3.26      0.58
## [1317,]                16.0                 46.0 0.99258 4.01      0.59
## [1318,]                10.0                 41.0 0.99638 3.18      0.69
## [1319,]                17.0                 91.0 0.99616 3.26      0.58
## [1320,]                18.0                 64.0 0.99652 2.90      1.33
## [1321,]                12.0                 88.0 0.99796 3.26      0.66
## [1322,]                16.0                 46.0 0.99258 4.01      0.59
## [1323,]                 9.0                 18.0 0.99392 3.18      0.55
## [1324,]                21.0                 55.0 0.99495 3.18      0.82
## [1325,]                18.0                 34.0 0.99480 3.39      0.60
## [1326,]                18.0                 34.0 0.99480 3.39      0.60
## [1327,]                18.0                 34.0 0.99480 3.39      0.60
## [1328,]                18.0                 34.0 0.99480 3.39      0.60
## [1329,]                13.0                 38.0 0.99550 3.34      0.52
## [1330,]                17.0                 91.0 0.99616 3.29      0.56
## [1331,]                17.0                 91.0 0.99616 3.29      0.56
## [1332,]                31.0                 67.0 0.99668 3.26      0.46
## [1333,]                 6.0                 25.0 0.99581 3.09      0.43
## [1334,]                12.0                 48.0 0.99760 3.18      0.51
## [1335,]                 4.0                 11.0 0.99608 3.39      0.52
## [1336,]                19.0                 40.0 0.99387 3.38      0.66
## [1337,]                15.0                 26.0 0.99448 3.36      0.45
## [1338,]                15.0                 26.0 0.99448 3.36      0.45
## [1339,]                15.0                 26.0 0.99448 3.36      0.45
## [1340,]                13.0                 31.0 0.99538 3.36      0.54
## [1341,]                13.0                 31.0 0.99538 3.36      0.54
## [1342,]                13.0                 31.0 0.99538 3.36      0.54
## [1343,]                17.0                 31.0 0.99589 3.37      0.51
## [1344,]                13.0                 31.0 0.99538 3.36      0.54
## [1345,]                 8.0                 20.0 0.99852 3.09      0.53
## [1346,]                10.0                 28.0 0.99613 3.25      0.53
## [1347,]                 5.0                 13.0 0.99472 3.52      0.56
## [1348,]                 7.0                 12.0 0.99587 3.34      0.39
## [1349,]                 7.0                 12.0 0.99587 3.34      0.39
## [1350,]                21.0                 41.0 0.99518 3.41      0.52
## [1351,]                32.0                 73.0 0.99654 3.34      0.57
## [1352,]                 8.0                 46.0 0.99332 3.32      0.51
## [1353,]                14.0                 57.0 0.99690 3.37      0.46
## [1354,]                14.0                 57.0 0.99690 3.37      0.46
## [1355,]                 7.0                 28.0 0.99568 3.35      0.52
## [1356,]                 5.0                 32.0 0.99464 3.36      0.44
## [1357,]                 4.0                 28.0 0.99464 3.36      0.44
## [1358,]                27.0                 67.0 0.99648 3.60      0.59
## [1359,]                52.0                 98.0 0.99736 3.28      0.50
## [1360,]                 6.0                 28.0 0.99704 3.07      0.65
## [1361,]                11.0                 38.0 0.99699 3.24      0.56
## [1362,]                13.0                 54.0 0.99724 3.36      0.54
## [1363,]                 6.0                 28.0 0.99704 3.07      0.65
## [1364,]                11.0                 63.0 0.99652 3.29      0.48
## [1365,]                10.0                 31.0 0.99500 3.46      0.53
## [1366,]                10.0                 42.0 0.99710 3.18      0.62
## [1367,]                10.0                 45.0 0.99576 3.24      0.50
## [1368,]                 9.0                105.0 0.99725 3.25      1.18
## [1369,]                16.0                 74.0 0.99656 3.27      0.50
## [1370,]                 4.0                  8.0 0.99396 3.33      0.37
## [1371,]                12.0                 66.0 0.99623 3.00      1.17
## [1372,]                 5.0                 14.0 0.99476 3.21      1.03
## [1373,]                12.0                 66.0 0.99623 3.00      1.17
## [1374,]                34.0                 89.0 0.99664 3.24      0.45
## [1375,]                16.0                 29.0 0.99471 3.32      0.51
## [1376,]                13.0                100.0 0.99586 3.26      0.52
## [1377,]                 7.0                 31.0 0.99460 3.11      0.46
## [1378,]                23.0                 74.0 0.99530 3.71      0.62
## [1379,]                10.0                 28.0 0.99609 3.29      0.51
## [1380,]                11.0                 35.0 0.99557 3.36      0.62
## [1381,]                11.0                 35.0 0.99557 3.36      0.62
## [1382,]                 4.0                 25.0 0.99534 3.38      0.45
## [1383,]                25.0                105.0 0.99613 3.30      0.49
## [1384,]                25.0                105.0 0.99613 3.30      0.49
## [1385,]                20.0                 84.0 0.99593 3.19      0.50
## [1386,]                34.0                 85.0 0.99668 3.19      0.42
## [1387,]                 8.0                 23.0 0.99610 3.30      0.58
## [1388,]                 8.0                 23.0 0.99610 3.30      0.58
## [1389,]                 7.0                 49.0 0.99718 3.35      0.68
## [1390,]                36.0                111.0 0.99524 3.10      0.53
## [1391,]                15.0                 33.0 0.99292 3.58      0.59
## [1392,]                 5.0                 33.0 0.99612 3.37      0.58
## [1393,]                 5.0                 12.0 0.99420 3.17      0.48
## [1394,]                19.0                 59.0 0.99612 3.30      0.48
## [1395,]                27.0                 73.0 0.99669 3.32      0.48
## [1396,]                 3.0                 12.0 0.99745 3.31      0.65
## [1397,]                 4.0                 11.0 0.99745 3.31      0.65
## [1398,]                17.0                104.0 0.99584 3.28      0.52
## [1399,]                13.0                 28.0 0.99660 3.52      0.62
## [1400,]                10.0                 24.0 0.99560 3.42      0.72
## [1401,]                33.0                141.0 0.99620 3.25      0.51
## [1402,]                33.0                141.0 0.99620 3.25      0.51
## [1403,]                 6.0                 24.0 0.99630 3.44      0.82
## [1404,]                 3.0                 13.0 0.99600 3.23      1.10
## [1405,]                12.0                 46.0 0.99850 3.43      0.62
## [1406,]                18.0                 34.0 0.99520 3.28      0.90
## [1407,]                 8.0                 22.0 0.99740 3.22      0.94
## [1408,]                40.0                 54.0 0.99500 3.54      0.93
## [1409,]                35.0                 53.0 0.99500 3.27      1.01
## [1410,]                40.0                 54.0 0.99500 3.54      0.93
## [1411,]                 5.0                 16.0 0.99360 3.50      0.44
## [1412,]                 8.0                 19.0 0.99630 3.56      0.73
## [1413,]                 8.0                 22.0 0.99740 3.22      0.94
## [1414,]                12.0                 89.0 0.99630 3.04      0.90
## [1415,]                 3.0                 15.0 0.99940 3.20      0.78
## [1416,]                 8.0                 18.0 0.99660 3.56      0.84
## [1417,]                 3.0                 15.0 0.99940 3.20      0.78
## [1418,]                21.0                 37.0 0.99520 3.35      0.77
## [1419,]                 3.0                 19.0 0.99500 3.16      0.46
## [1420,]                32.0                133.0 0.99560 3.27      0.45
## [1421,]                 3.0                 19.0 0.99500 3.16      0.46
## [1422,]                24.0                 58.0 0.99650 3.34      0.58
## [1423,]                39.0                 55.0 0.99560 3.39      0.84
## [1424,]                14.0                 31.0 0.99680 3.50      0.67
## [1425,]                 8.0                 23.0 0.99740 3.26      0.70
## [1426,]                 8.0                 23.0 0.99740 3.26      0.70
## [1427,]                23.0                 60.0 0.99710 3.41      0.71
## [1428,]                 6.0                 23.0 0.99570 3.30      0.58
## [1429,]                27.0                 55.0 0.99620 3.31      0.63
## [1430,]                38.0                 67.0 0.99600 3.33      0.93
## [1431,]                18.0                 47.0 0.99560 3.37      0.62
## [1432,]                13.0                 74.0 0.99580 3.26      0.54
## [1433,]                 3.0                 11.0 0.99440 3.48      0.85
## [1434,]                11.0                 25.0 0.99550 3.42      0.74
## [1435,]                55.0                 95.0 1.00369 3.18      0.77
## [1436,]                55.0                 95.0 1.00369 3.18      0.77
## [1437,]                27.0                 90.0 0.99914 3.15      0.65
## [1438,]                15.0                 39.0 0.99577 3.53      0.54
## [1439,]                 3.0                  8.0 0.99600 3.41      0.47
## [1440,]                31.0                 92.0 0.99566 3.32      0.68
## [1441,]                15.0                 28.0 0.99470 3.23      0.73
## [1442,]                19.0                 98.0 0.99713 3.16      0.52
## [1443,]                18.0                 30.0 0.99712 3.40      0.75
## [1444,]                 8.0                 22.0 0.99322 3.38      0.49
## [1445,]                31.0                 92.0 0.99566 3.32      0.68
## [1446,]                19.0                 98.0 0.99713 3.16      0.52
## [1447,]                18.0                 30.0 0.99712 3.40      0.75
## [1448,]                22.0                 39.0 0.99701 3.40      0.74
## [1449,]                40.0                 54.0 0.99683 3.40      0.73
## [1450,]                15.0                 29.0 0.99472 3.23      0.76
## [1451,]                15.0                 28.0 0.99470 3.23      0.73
## [1452,]                 8.0                 17.0 0.99732 3.33      0.78
## [1453,]                37.0                 53.0 0.99374 3.35      0.76
## [1454,]                27.0                 85.0 0.99706 3.41      0.58
## [1455,]                 7.0                 23.0 0.99974 3.21      0.69
## [1456,]                 9.0                 17.0 0.99467 3.50      0.63
## [1457,]                38.0                 89.0 0.99236 3.30      0.50
## [1458,]                27.0                 85.0 0.99706 3.41      0.58
## [1459,]                 8.0                 20.0 0.99603 3.39      0.60
## [1460,]                 7.0                 15.0 0.99458 3.32      0.80
## [1461,]                34.0                 64.0 0.99724 3.41      0.68
## [1462,]                 6.0                 13.0 0.99664 3.59      0.61
## [1463,]                14.0                 31.0 0.99545 3.36      0.58
## [1464,]                14.0                 39.0 0.99522 3.34      0.53
## [1465,]                34.0                 53.0 0.99580 3.41      0.67
## [1466,]                34.0                 53.0 0.99580 3.41      0.67
## [1467,]                31.0                 54.0 0.99728 3.30      0.65
## [1468,]                19.0                 32.0 0.99648 3.52      0.57
## [1469,]                31.0                 54.0 0.99728 3.30      0.65
## [1470,]                20.0                 49.0 0.99705 3.31      0.55
## [1471,]                 8.0                 24.0 0.99578 2.88      0.47
## [1472,]                 8.0                 16.0 0.99334 3.43      0.52
## [1473,]                23.0                 44.0 0.99656 3.38      0.79
## [1474,]                14.0                 45.0 0.99336 3.38      0.54
## [1475,]                48.0                 82.0 1.00242 3.16      0.75
## [1476,]                16.0                 89.0 0.99182 3.54      0.88
## [1477,]                48.0                 82.0 1.00242 3.16      0.75
## [1478,]                16.0                 89.0 0.99182 3.54      0.88
## [1479,]                 3.0                 14.0 0.99808 3.40      0.52
## [1480,]                10.0                 22.0 0.99828 3.39      0.68
## [1481,]                 6.0                 13.0 0.99498 3.66      0.62
## [1482,]                10.0                 22.0 0.99828 3.39      0.68
## [1483,]                 3.0                  9.0 0.99719 3.33      0.57
## [1484,]                 6.0                 12.0 0.99542 3.35      0.61
## [1485,]                 4.0                 11.0 0.99592 3.53      0.64
## [1486,]                 8.0                 25.0 0.99606 3.37      0.55
## [1487,]                 9.0                 23.0 0.99546 3.38      0.60
## [1488,]                 9.0                 17.0 0.99496 3.52      0.78
## [1489,]                 5.0                 13.0 0.99420 3.72      0.58
## [1490,]                 4.0                 11.0 0.99448 3.44      0.76
## [1491,]                 8.0                 18.0 0.99344 3.39      0.56
## [1492,]                 5.0                 13.0 0.99420 3.72      0.58
## [1493,]                 6.0                 18.0 0.99348 3.57      0.54
## [1494,]                23.0                147.0 0.99636 3.26      0.59
## [1495,]                15.0                 28.0 0.99459 3.42      0.70
## [1496,]                15.0                 28.0 0.99492 3.35      0.81
## [1497,]                23.0                147.0 0.99636 3.26      0.59
## [1498,]                 7.0                 16.0 0.99508 3.45      0.63
## [1499,]                 7.0                 13.0 0.99582 3.53      0.58
## [1500,]                 7.0                 16.0 0.99508 3.45      0.63
## [1501,]                 8.0                 15.0 0.99508 3.26      0.53
## [1502,]                21.0                 64.0 0.99642 3.16      0.53
## [1503,]                15.0                 60.0 0.99638 3.31      0.54
## [1504,]                 6.0                 14.0 0.99555 3.51      0.69
## [1505,]                 5.0                 12.0 0.99605 3.36      0.55
## [1506,]                 6.0                 12.0 0.99600 3.55      0.63
## [1507,]                 6.0                 14.0 0.99562 3.51      0.66
## [1508,]                 5.0                 12.0 0.99605 3.36      0.55
## [1509,]                17.0                 25.0 0.99814 3.38      0.72
## [1510,]                 7.0                 20.0 0.99410 3.28      0.70
## [1511,]                26.0                 48.0 0.99661 3.47      0.77
## [1512,]                19.0                 27.0 0.99712 3.44      0.67
## [1513,]                11.0                 17.0 0.99588 3.53      0.65
## [1514,]                17.0                 65.0 0.99294 3.33      0.60
## [1515,]                16.0                 65.0 0.99842 3.53      0.72
## [1516,]                16.0                 65.0 0.99842 3.53      0.72
## [1517,]                23.0                 58.0 0.99633 3.42      0.97
## [1518,]                29.0                 44.0 0.99489 3.38      0.83
## [1519,]                 7.0                 20.0 0.99647 3.32      0.63
## [1520,]                14.0                 27.0 0.99665 3.44      0.58
## [1521,]                29.0                 44.0 0.99489 3.38      0.83
## [1522,]                 9.0                 23.0 0.99585 3.39      0.43
## [1523,]                23.0                 58.0 0.99633 3.42      0.97
## [1524,]                29.0                 61.0 0.99530 3.34      0.60
## [1525,]                22.0                 47.0 0.99522 3.39      0.78
## [1526,]                18.0                 34.0 0.99552 3.33      0.64
## [1527,]                18.0                 38.0 0.99553 3.30      0.65
## [1528,]                15.0                 24.0 0.99510 3.29      0.66
## [1529,]                21.0                 59.0 0.99714 3.31      0.67
## [1530,]                42.0                 52.0 0.99608 3.42      0.60
## [1531,]                 9.0                 18.0 0.99444 3.42      0.69
## [1532,]                13.0                 28.0 0.99631 3.60      0.66
## [1533,]                18.0                 22.0 0.99573 3.21      0.68
## [1534,]                32.0                 84.0 0.99717 3.39      0.61
## [1535,]                13.0                 29.0 0.99397 3.42      0.62
## [1536,]                15.0                 35.0 0.99590 3.36      0.59
## [1537,]                24.0                 45.0 0.99528 3.60      0.68
## [1538,]                20.0                 31.0 0.99484 3.50      0.64
## [1539,]                15.0                 26.0 0.99538 3.57      0.63
## [1540,]                34.0                 60.0 0.99714 3.46      0.78
## [1541,]                11.0                 32.0 0.99646 3.56      0.63
## [1542,]                19.0                 49.0 0.99666 3.40      0.76
## [1543,]                29.0                 38.0 0.99472 3.30      0.56
## [1544,]                14.0                 19.0 0.99758 3.25      0.57
## [1545,]                12.0                 19.0 0.99550 3.17      0.81
## [1546,]                16.0                 28.0 0.99531 3.36      0.64
## [1547,]                17.0                 26.0 0.99575 3.36      0.61
## [1548,]                12.0                 26.0 0.99306 3.55      0.51
## [1549,]                19.0                 50.0 0.99783 3.10      0.58
## [1550,]                17.0                 24.0 0.99419 3.24      0.70
## [1551,]                17.0                 26.0 0.99783 3.45      0.53
## [1552,]                18.0                 27.0 0.99768 3.44      0.54
## [1553,]                32.0                 54.0 0.99586 3.51      0.66
## [1554,]                18.0                 28.0 0.99765 3.41      0.60
## [1555,]                15.0                 23.0 0.99627 3.54      0.60
## [1556,]                15.0                 24.0 0.99514 3.44      0.68
## [1557,]                12.0                 20.0 0.99636 3.53      0.56
## [1558,]                15.0                 23.0 0.99627 3.54      0.60
## [1559,]                66.0                115.0 0.99787 3.22      0.56
## [1560,]                31.0                131.0 0.99622 3.21      0.52
## [1561,]                31.0                131.0 0.99622 3.21      0.52
## [1562,]                31.0                131.0 0.99622 3.21      0.52
## [1563,]                12.0                 20.0 0.99546 3.29      0.54
## [1564,]                12.0                 20.0 0.99546 3.29      0.54
## [1565,]                12.0                 20.0 0.99546 3.29      0.54
## [1566,]                26.0                 42.0 0.99489 3.39      0.82
## [1567,]                24.0                 52.0 0.99494 3.34      0.71
## [1568,]                12.0                 20.0 0.99546 3.29      0.54
## [1569,]                25.0                 42.0 0.99629 3.34      0.59
## [1570,]                15.0                 34.0 0.99396 3.48      0.57
## [1571,]                19.0                 35.0 0.99340 3.37      0.93
## [1572,]                15.0                 25.0 0.99514 3.44      0.65
## [1573,]                35.0                104.0 0.99632 3.33      0.51
## [1574,]                15.0                 50.0 0.99467 3.58      0.67
## [1575,]                23.0                 92.0 0.99677 3.39      0.48
## [1576,]                12.0                 20.0 0.99474 3.26      0.64
## [1577,]                16.0                 29.0 0.99588 3.30      0.78
## [1578,]                13.0                 27.0 0.99622 3.54      0.60
## [1579,]                13.0                 20.0 0.99540 3.42      0.67
## [1580,]                24.0                 32.0 0.99402 3.54      0.60
## [1581,]                 9.0                 26.0 0.99470 3.36      0.60
## [1582,]                24.0                 32.0 0.99402 3.54      0.60
## [1583,]                13.0                 27.0 0.99362 3.57      0.50
## [1584,]                32.0                 98.0 0.99578 3.33      0.62
## [1585,]                24.0                 34.0 0.99484 3.29      0.80
## [1586,]                22.0                 48.0 0.99494 3.30      0.84
## [1587,]                34.0                 60.0 0.99492 3.34      0.85
## [1588,]                18.0                 28.0 0.99483 3.55      0.66
## [1589,]                34.0                102.0 0.99414 3.27      0.78
## [1590,]                29.0                 79.0 0.99770 3.29      0.54
## [1591,]                26.0                 35.0 0.99314 3.32      0.82
## [1592,]                16.0                 26.0 0.99402 3.67      0.56
## [1593,]                29.0                 40.0 0.99574 3.42      0.75
## [1594,]                28.0                 38.0 0.99651 3.42      0.82
## [1595,]                32.0                 44.0 0.99490 3.45      0.58
## [1596,]                39.0                 51.0 0.99512 3.52      0.76
## [1597,]                29.0                 40.0 0.99574 3.42      0.75
## [1598,]                32.0                 44.0 0.99547 3.57      0.71
## [1599,]                18.0                 42.0 0.99549 3.39      0.66
##           alcohol
##    [1,]  9.400000
##    [2,]  9.800000
##    [3,]  9.800000
##    [4,]  9.800000
##    [5,]  9.400000
##    [6,]  9.400000
##    [7,]  9.400000
##    [8,] 10.000000
##    [9,]  9.500000
##   [10,] 10.500000
##   [11,]  9.200000
##   [12,] 10.500000
##   [13,]  9.900000
##   [14,]  9.100000
##   [15,]  9.200000
##   [16,]  9.200000
##   [17,] 10.500000
##   [18,]  9.300000
##   [19,]  9.000000
##   [20,]  9.200000
##   [21,]  9.400000
##   [22,]  9.700000
##   [23,]  9.500000
##   [24,]  9.400000
##   [25,]  9.700000
##   [26,]  9.300000
##   [27,]  9.500000
##   [28,]  9.500000
##   [29,]  9.400000
##   [30,]  9.800000
##   [31,] 10.100000
##   [32,] 10.600000
##   [33,]  9.800000
##   [34,]  9.400000
##   [35,]  9.200000
##   [36,]  9.600000
##   [37,] 10.800000
##   [38,]  9.700000
##   [39,]  9.800000
##   [40,] 10.500000
##   [41,] 10.500000
##   [42,]  9.300000
##   [43,] 10.500000
##   [44,] 10.300000
##   [45,]  9.500000
##   [46,] 13.100000
##   [47,]  9.200000
##   [48,]  9.500000
##   [49,]  9.200000
##   [50,]  9.200000
##   [51,]  9.200000
##   [52,]  9.400000
##   [53,]  9.400000
##   [54,]  9.400000
##   [55,] 10.200000
##   [56,]  9.500000
##   [57,]  9.600000
##   [58,]  9.400000
##   [59,] 10.000000
##   [60,]  9.400000
##   [61,]  9.200000
##   [62,]  9.300000
##   [63,]  9.500000
##   [64,]  9.800000
##   [65,] 10.900000
##   [66,] 10.900000
##   [67,]  9.600000
##   [68,] 10.700000
##   [69,] 10.700000
##   [70,] 10.500000
##   [71,]  9.500000
##   [72,]  9.500000
##   [73,]  9.500000
##   [74,]  9.200000
##   [75,]  9.600000
##   [76,] 10.500000
##   [77,] 10.500000
##   [78,] 10.700000
##   [79,] 10.100000
##   [80,]  9.100000
##   [81,]  9.200000
##   [82,]  9.400000
##   [83,]  9.100000
##   [84,]  9.400000
##   [85,] 10.300000
##   [86,] 10.100000
##   [87,]  9.900000
##   [88,]  9.600000
##   [89,]  9.500000
##   [90,]  9.000000
##   [91,]  9.500000
##   [92,]  9.900000
##   [93,]  9.800000
##   [94,]  9.600000
##   [95,] 10.500000
##   [96,] 12.900000
##   [97,] 10.700000
##   [98,]  9.200000
##   [99,]  9.800000
##  [100,]  9.000000
##  [101,] 10.200000
##  [102,] 10.400000
##  [103,]  9.000000
##  [104,]  9.200000
##  [105,]  9.400000
##  [106,]  9.200000
##  [107,]  9.300000
##  [108,]  9.300000
##  [109,]  9.600000
##  [110,]  9.300000
##  [111,]  9.500000
##  [112,]  9.800000
##  [113,]  9.800000
##  [114,]  9.700000
##  [115,]  9.500000
##  [116,] 10.500000
##  [117,] 10.000000
##  [118,]  9.400000
##  [119,] 10.900000
##  [120,]  9.200000
##  [121,]  9.000000
##  [122,] 10.900000
##  [123,]  9.200000
##  [124,]  9.500000
##  [125,]  9.500000
##  [126,]  9.400000
##  [127,] 10.900000
##  [128,] 10.900000
##  [129,] 10.500000
##  [130,]  9.400000
##  [131,]  9.400000
##  [132,] 13.000000
##  [133,] 13.000000
##  [134,]  9.800000
##  [135,]  9.900000
##  [136,]  9.600000
##  [137,]  9.500000
##  [138,]  9.200000
##  [139,]  9.500000
##  [140,]  9.500000
##  [141,]  9.600000
##  [142,]  9.500000
##  [143,] 14.000000
##  [144,]  9.400000
##  [145,] 14.000000
##  [146,]  9.400000
##  [147,] 10.000000
##  [148,]  9.300000
##  [149,] 10.200000
##  [150,] 10.500000
##  [151,] 10.300000
##  [152,]  9.400000
##  [153,] 10.100000
##  [154,] 10.100000
##  [155,] 10.500000
##  [156,] 10.500000
##  [157,] 10.500000
##  [158,] 10.500000
##  [159,]  9.300000
##  [160,]  9.300000
##  [161,]  9.600000
##  [162,]  9.200000
##  [163,] 10.000000
##  [164,]  9.400000
##  [165,]  9.400000
##  [166,]  9.500000
##  [167,] 10.200000
##  [168,]  9.000000
##  [169,] 10.400000
##  [170,]  9.500000
##  [171,]  9.100000
##  [172,]  9.200000
##  [173,]  9.200000
##  [174,] 11.500000
##  [175,]  9.500000
##  [176,]  9.500000
##  [177,]  9.500000
##  [178,] 10.500000
##  [179,]  9.600000
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##  [835,]  9.400000
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##  [869,] 11.200000
##  [870,] 10.900000
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##  [876,] 11.800000
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##  [891,] 10.100000
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##  [893,]  9.300000
##  [894,]  9.700000
##  [895,]  9.800000
##  [896,] 10.700000
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##  [899,] 12.500000
##  [900,] 11.000000
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##  [902,] 10.800000
##  [903,] 10.800000
##  [904,] 10.800000
##  [905,] 10.800000
##  [906,]  9.500000
##  [907,] 11.000000
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##  [909,] 10.800000
##  [910,] 11.500000
##  [911,] 13.200000
##  [912,] 10.900000
##  [913,] 12.200000
##  [914,] 12.200000
##  [915,] 11.500000
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##  [926,] 11.000000
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##  [928,]  9.200000
##  [929,] 11.200000
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##  [933,]  9.500000
##  [934,]  9.800000
##  [935,] 10.500000
##  [936,] 11.800000
##  [937,] 11.800000
##  [938,] 10.400000
##  [939,] 12.900000
##  [940,] 11.400000
##  [941,] 12.400000
##  [942,] 12.500000
##  [943,] 10.000000
##  [944,]  9.700000
##  [945,] 12.100000
##  [946,] 11.100000
##  [947,] 12.000000
##  [948,] 12.400000
##  [949,] 11.900000
##  [950,] 11.900000
##  [951,] 11.900000
##  [952,] 12.400000
##  [953,] 11.200000
##  [954,] 12.100000
##  [955,] 12.200000
##  [956,] 10.400000
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##  [958,] 11.100000
##  [959,] 11.300000
##  [960,] 10.000000
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##  [962,]  9.300000
##  [963,]  9.500000
##  [964,] 11.200000
##  [965,] 11.100000
##  [966,] 11.000000
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##  [969,] 12.200000
##  [970,] 10.200000
##  [971,] 10.900000
##  [972,] 10.900000
##  [973,] 11.600000
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##  [975,] 12.100000
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##  [977,]  9.400000
##  [978,]  9.100000
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##  [980,] 10.400000
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##  [982,] 10.000000
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##  [985,] 10.400000
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##  [987,] 11.400000
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##  [990,] 10.900000
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##  [992,]  9.400000
##  [993,]  9.400000
##  [994,]  9.400000
##  [995,]  9.400000
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##  [999,]  9.100000
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## [1019,] 12.700000
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## [1029,] 10.100000
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## [1031,] 11.500000
## [1032,] 11.000000
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## [1036,] 10.600000
## [1037,] 12.500000
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## [1040,] 11.100000
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## [1092,] 11.400000
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## [1191,] 12.500000
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## [1204,]  9.400000
## [1205,] 11.000000
## [1206,] 11.000000
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## [1208,] 10.000000
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## [1211,] 10.400000
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## [1230,]  9.500000
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## [1234,]  9.300000
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## [1256,] 11.000000
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## [1258,] 11.000000
## [1259,] 11.300000
## [1260,] 11.300000
## [1261,]  9.300000
## [1262,] 11.200000
## [1263,]  9.800000
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## [1265,] 11.800000
## [1266,] 10.300000
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## [1268,] 11.400000
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## [1270,] 14.000000
## [1271,] 14.000000
## [1272,] 11.700000
## [1273,] 11.200000
## [1274,]  9.300000
## [1275,] 11.200000
## [1276,]  9.500000
## [1277,] 12.000000
## [1278,]  9.700000
## [1279,]  9.500000
## [1280,] 11.500000
## [1281,] 10.400000
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## [1283,] 10.900000
## [1284,] 10.200000
## [1285,] 10.900000
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## [1287,] 12.400000
## [1288,] 13.000000
## [1289,] 10.200000
## [1290,] 10.200000
## [1291,] 11.000000
## [1292,] 10.900000
## [1293,] 12.400000
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## [1295,] 10.900000
## [1296,]  9.500000
## [1297,]  9.500000
## [1298,] 12.100000
## [1299,] 12.200000
## [1300,] 10.900000
## [1301,] 12.500000
## [1302,] 11.700000
## [1303,] 11.200000
## [1304,] 11.200000
## [1305,]  9.200000
## [1306,]  9.800000
## [1307,] 10.100000
## [1308,] 11.100000
## [1309,] 10.100000
## [1310,]  9.200000
## [1311,]  9.800000
## [1312,] 12.800000
## [1313,] 10.500000
## [1314,] 10.100000
## [1315,] 10.100000
## [1316,]  9.800000
## [1317,] 12.500000
## [1318,] 11.900000
## [1319,]  9.800000
## [1320,]  9.100000
## [1321,] 10.100000
## [1322,] 12.500000
## [1323,] 11.400000
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## [1325,] 10.600000
## [1326,] 10.600000
## [1327,] 10.600000
## [1328,] 10.600000
## [1329,]  9.300000
## [1330,]  9.800000
## [1331,]  9.800000
## [1332,]  9.200000
## [1333,]  9.700000
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## [1335,] 10.000000
## [1336,] 12.600000
## [1337,]  9.500000
## [1338,]  9.500000
## [1339,]  9.500000
## [1340,] 10.500000
## [1341,] 10.500000
## [1342,] 10.500000
## [1343,] 10.400000
## [1344,] 10.500000
## [1345,] 11.000000
## [1346,] 10.200000
## [1347,] 11.400000
## [1348,]  9.500000
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## [1350,] 10.800000
## [1351,] 10.000000
## [1352,] 11.800000
## [1353,] 10.300000
## [1354,] 10.300000
## [1355,] 10.000000
## [1356,] 10.100000
## [1357,] 10.100000
## [1358,] 11.100000
## [1359,]  9.500000
## [1360,] 10.033333
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## [1364,]  9.800000
## [1365,] 11.800000
## [1366,]  9.500000
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## [1368,] 10.500000
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## [1370,] 10.400000
## [1371,]  9.200000
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## [1373,]  9.200000
## [1374,]  9.300000
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## [1382,]  9.600000
## [1383,]  9.900000
## [1384,]  9.900000
## [1385,]  9.500000
## [1386,]  9.200000
## [1387,]  9.600000
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## [1389,] 10.300000
## [1390,]  9.700000
## [1391,] 12.500000
## [1392,] 11.000000
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## [1394,] 10.200000
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## [1396,]  9.550000
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## [1398,]  9.900000
## [1399,] 10.200000
## [1400,] 11.100000
## [1401,]  9.900000
## [1402,]  9.900000
## [1403,] 11.900000
## [1404,] 10.000000
## [1405,] 10.700000
## [1406,] 11.300000
## [1407,] 10.900000
## [1408,] 10.700000
## [1409,] 12.400000
## [1410,] 10.700000
## [1411,] 11.900000
## [1412,] 10.600000
## [1413,] 10.900000
## [1414,] 10.100000
## [1415,]  9.600000
## [1416,]  9.400000
## [1417,]  9.600000
## [1418,] 12.100000
## [1419,]  9.800000
## [1420,]  9.900000
## [1421,]  9.800000
## [1422,]  9.400000
## [1423,] 11.400000
## [1424,] 11.000000
## [1425,]  9.600000
## [1426,]  9.600000
## [1427,] 12.100000
## [1428,] 11.200000
## [1429,] 11.000000
## [1430,] 11.300000
## [1431,] 10.400000
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## [1433,] 11.700000
## [1434,] 10.100000
## [1435,]  9.000000
## [1436,]  9.000000
## [1437,]  8.500000
## [1438,] 11.100000
## [1439,] 10.300000
## [1440,] 11.066667
## [1441,] 11.300000
## [1442,]  9.566667
## [1443,]  9.800000
## [1444,] 11.700000
## [1445,] 11.100000
## [1446,]  9.600000
## [1447,]  9.800000
## [1448,]  9.700000
## [1449,]  9.700000
## [1450,] 11.300000
## [1451,] 11.300000
## [1452,] 11.000000
## [1453,] 11.600000
## [1454,]  9.000000
## [1455,] 10.900000
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## [1457,] 10.550000
## [1458,]  9.000000
## [1459,] 10.500000
## [1460,] 11.900000
## [1461,] 10.400000
## [1462,] 10.000000
## [1463,] 10.400000
## [1464,] 10.800000
## [1465,]  9.700000
## [1466,]  9.700000
## [1467,] 10.000000
## [1468,] 11.000000
## [1469,] 10.000000
## [1470,]  9.700000
## [1471,]  9.700000
## [1472,] 12.600000
## [1473,] 11.100000
## [1474,] 11.000000
## [1475,]  8.800000
## [1476,] 13.566667
## [1477,]  8.800000
## [1478,] 13.600000
## [1479,] 10.200000
## [1480,] 10.600000
## [1481,] 10.100000
## [1482,] 10.600000
## [1483,] 10.300000
## [1484,] 10.700000
## [1485,] 10.900000
## [1486,]  9.700000
## [1487,] 10.300000
## [1488,] 10.600000
## [1489,] 11.400000
## [1490,] 10.800000
## [1491,] 12.400000
## [1492,] 11.400000
## [1493,] 11.950000
## [1494,]  9.700000
## [1495,] 10.000000
## [1496,] 10.600000
## [1497,]  9.700000
## [1498,] 11.500000
## [1499,] 10.800000
## [1500,] 11.500000
## [1501,]  9.600000
## [1502,]  9.400000
## [1503,]  9.800000
## [1504,] 11.000000
## [1505,] 11.400000
## [1506,]  9.950000
## [1507,] 10.800000
## [1508,] 11.400000
## [1509,] 10.600000
## [1510,] 11.100000
## [1511,]  9.700000
## [1512,]  9.800000
## [1513,] 10.400000
## [1514,] 10.500000
## [1515,]  9.233333
## [1516,]  9.250000
## [1517,] 10.600000
## [1518,] 10.300000
## [1519,] 10.500000
## [1520,] 10.200000
## [1521,] 10.300000
## [1522,]  9.050000
## [1523,] 10.600000
## [1524,] 10.400000
## [1525,] 10.000000
## [1526,]  9.700000
## [1527,]  9.600000
## [1528,] 10.800000
## [1529,] 10.100000
## [1530,] 10.200000
## [1531,] 11.300000
## [1532,] 10.200000
## [1533,]  9.900000
## [1534,]  9.000000
## [1535,] 11.700000
## [1536,]  9.700000
## [1537,] 10.300000
## [1538,] 10.200000
## [1539,] 12.000000
## [1540,]  9.900000
## [1541,] 11.600000
## [1542,] 10.900000
## [1543,] 10.750000
## [1544,] 10.400000
## [1545,] 11.200000
## [1546,] 10.100000
## [1547,] 10.200000
## [1548,] 12.100000
## [1549,] 10.400000
## [1550,] 11.400000
## [1551,]  9.500000
## [1552,]  9.400000
## [1553,] 11.300000
## [1554,]  9.400000
## [1555,] 11.000000
## [1556,] 10.550000
## [1557,]  9.900000
## [1558,] 11.000000
## [1559,]  9.500000
## [1560,]  9.900000
## [1561,]  9.900000
## [1562,]  9.900000
## [1563,] 10.100000
## [1564,] 10.100000
## [1565,] 10.100000
## [1566,] 10.900000
## [1567,] 11.200000
## [1568,] 10.100000
## [1569,]  9.200000
## [1570,] 11.500000
## [1571,] 12.400000
## [1572,] 11.100000
## [1573,]  9.500000
## [1574,] 12.500000
## [1575,] 10.500000
## [1576,] 11.800000
## [1577,] 10.800000
## [1578,] 11.900000
## [1579,] 11.300000
## [1580,] 11.300000
## [1581,] 11.900000
## [1582,] 11.300000
## [1583,] 11.900000
## [1584,]  9.800000
## [1585,] 11.600000
## [1586,] 11.500000
## [1587,] 11.400000
## [1588,] 10.900000
## [1589,] 12.800000
## [1590,]  9.200000
## [1591,] 11.600000
## [1592,] 11.600000
## [1593,] 11.000000
## [1594,]  9.500000
## [1595,] 10.500000
## [1596,] 11.200000
## [1597,] 11.000000
## [1598,] 10.200000
## [1599,] 11.000000
df_new <- cbind(df1, as.numeric(as.factor(df$quality))-1)
df_new
##         fixed acidity volatile acidity citric acid residual sugar chlorides
##    [1,]           7.4            0.700        0.00           1.90     0.076
##    [2,]           7.8            0.880        0.00           2.60     0.098
##    [3,]           7.8            0.760        0.04           2.30     0.092
##    [4,]          11.2            0.280        0.56           1.90     0.075
##    [5,]           7.4            0.700        0.00           1.90     0.076
##    [6,]           7.4            0.660        0.00           1.80     0.075
##    [7,]           7.9            0.600        0.06           1.60     0.069
##    [8,]           7.3            0.650        0.00           1.20     0.065
##    [9,]           7.8            0.580        0.02           2.00     0.073
##   [10,]           7.5            0.500        0.36           6.10     0.071
##   [11,]           6.7            0.580        0.08           1.80     0.097
##   [12,]           7.5            0.500        0.36           6.10     0.071
##   [13,]           5.6            0.615        0.00           1.60     0.089
##   [14,]           7.8            0.610        0.29           1.60     0.114
##   [15,]           8.9            0.620        0.18           3.80     0.176
##   [16,]           8.9            0.620        0.19           3.90     0.170
##   [17,]           8.5            0.280        0.56           1.80     0.092
##   [18,]           8.1            0.560        0.28           1.70     0.368
##   [19,]           7.4            0.590        0.08           4.40     0.086
##   [20,]           7.9            0.320        0.51           1.80     0.341
##   [21,]           8.9            0.220        0.48           1.80     0.077
##   [22,]           7.6            0.390        0.31           2.30     0.082
##   [23,]           7.9            0.430        0.21           1.60     0.106
##   [24,]           8.5            0.490        0.11           2.30     0.084
##   [25,]           6.9            0.400        0.14           2.40     0.085
##   [26,]           6.3            0.390        0.16           1.40     0.080
##   [27,]           7.6            0.410        0.24           1.80     0.080
##   [28,]           7.9            0.430        0.21           1.60     0.106
##   [29,]           7.1            0.710        0.00           1.90     0.080
##   [30,]           7.8            0.645        0.00           2.00     0.082
##   [31,]           6.7            0.675        0.07           2.40     0.089
##   [32,]           6.9            0.685        0.00           2.50     0.105
##   [33,]           8.3            0.655        0.12           2.30     0.083
##   [34,]           6.9            0.605        0.12          10.70     0.073
##   [35,]           5.2            0.320        0.25           1.80     0.103
##   [36,]           7.8            0.645        0.00           5.50     0.086
##   [37,]           7.8            0.600        0.14           2.40     0.086
##   [38,]           8.1            0.380        0.28           2.10     0.066
##   [39,]           5.7            1.130        0.09           1.50     0.172
##   [40,]           7.3            0.450        0.36           5.90     0.074
##   [41,]           7.3            0.450        0.36           5.90     0.074
##   [42,]           8.8            0.610        0.30           2.80     0.088
##   [43,]           7.5            0.490        0.20           2.60     0.332
##   [44,]           8.1            0.660        0.22           2.20     0.069
##   [45,]           6.8            0.670        0.02           1.80     0.050
##   [46,]           4.6            0.520        0.15           2.10     0.054
##   [47,]           7.7            0.935        0.43           2.20     0.114
##   [48,]           8.7            0.290        0.52           1.60     0.113
##   [49,]           6.4            0.400        0.23           1.60     0.066
##   [50,]           5.6            0.310        0.37           1.40     0.074
##   [51,]           8.8            0.660        0.26           1.70     0.074
##   [52,]           6.6            0.520        0.04           2.20     0.069
##   [53,]           6.6            0.500        0.04           2.10     0.068
##   [54,]           8.6            0.380        0.36           3.00     0.081
##   [55,]           7.6            0.510        0.15           2.80     0.110
##   [56,]           7.7            0.620        0.04           3.80     0.084
##   [57,]          10.2            0.420        0.57           3.40     0.070
##   [58,]           7.5            0.630        0.12           5.10     0.111
##   [59,]           7.8            0.590        0.18           2.30     0.076
##   [60,]           7.3            0.390        0.31           2.40     0.074
##   [61,]           8.8            0.400        0.40           2.20     0.079
##   [62,]           7.7            0.690        0.49           1.80     0.115
##   [63,]           7.5            0.520        0.16           1.90     0.085
##   [64,]           7.0            0.735        0.05           2.00     0.081
##   [65,]           7.2            0.725        0.05           4.65     0.086
##   [66,]           7.2            0.725        0.05           4.65     0.086
##   [67,]           7.5            0.520        0.11           1.50     0.079
##   [68,]           6.6            0.705        0.07           1.60     0.076
##   [69,]           9.3            0.320        0.57           2.00     0.074
##   [70,]           8.0            0.705        0.05           1.90     0.074
##   [71,]           7.7            0.630        0.08           1.90     0.076
##   [72,]           7.7            0.670        0.23           2.10     0.088
##   [73,]           7.7            0.690        0.22           1.90     0.084
##   [74,]           8.3            0.675        0.26           2.10     0.084
##   [75,]           9.7            0.320        0.54           2.50     0.094
##   [76,]           8.8            0.410        0.64           2.20     0.093
##   [77,]           8.8            0.410        0.64           2.20     0.093
##   [78,]           6.8            0.785        0.00           2.40     0.104
##   [79,]           6.7            0.750        0.12           2.00     0.086
##   [80,]           8.3            0.625        0.20           1.50     0.080
##   [81,]           6.2            0.450        0.20           1.60     0.069
##   [82,]           7.8            0.430        0.70           1.90     0.464
##   [83,]           7.4            0.500        0.47           2.00     0.086
##   [84,]           7.3            0.670        0.26           1.80     0.401
##   [85,]           6.3            0.300        0.48           1.80     0.069
##   [86,]           6.9            0.550        0.15           2.20     0.076
##   [87,]           8.6            0.490        0.28           1.90     0.110
##   [88,]           7.7            0.490        0.26           1.90     0.062
##   [89,]           9.3            0.390        0.44           2.10     0.107
##   [90,]           7.0            0.620        0.08           1.80     0.076
##   [91,]           7.9            0.520        0.26           1.90     0.079
##   [92,]           8.6            0.490        0.28           1.90     0.110
##   [93,]           8.6            0.490        0.29           2.00     0.110
##   [94,]           7.7            0.490        0.26           1.90     0.062
##   [95,]           5.0            1.020        0.04           1.40     0.045
##   [96,]           4.7            0.600        0.17           2.30     0.058
##   [97,]           6.8            0.775        0.00           3.00     0.102
##   [98,]           7.0            0.500        0.25           2.00     0.070
##   [99,]           7.6            0.900        0.06           2.50     0.079
##  [100,]           8.1            0.545        0.18           1.90     0.080
##  [101,]           8.3            0.610        0.30           2.10     0.084
##  [102,]           7.8            0.500        0.30           1.90     0.075
##  [103,]           8.1            0.545        0.18           1.90     0.080
##  [104,]           8.1            0.575        0.22           2.10     0.077
##  [105,]           7.2            0.490        0.24           2.20     0.070
##  [106,]           8.1            0.575        0.22           2.10     0.077
##  [107,]           7.8            0.410        0.68           1.70     0.467
##  [108,]           6.2            0.630        0.31           1.70     0.088
##  [109,]           8.0            0.330        0.53           2.50     0.091
##  [110,]           8.1            0.785        0.52           2.00     0.122
##  [111,]           7.8            0.560        0.19           1.80     0.104
##  [112,]           8.4            0.620        0.09           2.20     0.084
##  [113,]           8.4            0.600        0.10           2.20     0.085
##  [114,]          10.1            0.310        0.44           2.30     0.080
##  [115,]           7.8            0.560        0.19           1.80     0.104
##  [116,]           9.4            0.400        0.31           2.20     0.090
##  [117,]           8.3            0.540        0.28           1.90     0.077
##  [118,]           7.8            0.560        0.12           2.00     0.082
##  [119,]           8.8            0.550        0.04           2.20     0.119
##  [120,]           7.0            0.690        0.08           1.80     0.097
##  [121,]           7.3            1.070        0.09           1.70     0.178
##  [122,]           8.8            0.550        0.04           2.20     0.119
##  [123,]           7.3            0.695        0.00           2.50     0.075
##  [124,]           8.0            0.710        0.00           2.60     0.080
##  [125,]           7.8            0.500        0.17           1.60     0.082
##  [126,]           9.0            0.620        0.04           1.90     0.146
##  [127,]           8.2            1.330        0.00           1.70     0.081
##  [128,]           8.1            1.330        0.00           1.80     0.082
##  [129,]           8.0            0.590        0.16           1.80     0.065
##  [130,]           6.1            0.380        0.15           1.80     0.072
##  [131,]           8.0            0.745        0.56           2.00     0.118
##  [132,]           5.6            0.500        0.09           2.30     0.049
##  [133,]           5.6            0.500        0.09           2.30     0.049
##  [134,]           6.6            0.500        0.01           1.50     0.060
##  [135,]           7.9            1.040        0.05           2.20     0.084
##  [136,]           8.4            0.745        0.11           1.90     0.090
##  [137,]           8.3            0.715        0.15           1.80     0.089
##  [138,]           7.2            0.415        0.36           2.00     0.081
##  [139,]           7.8            0.560        0.19           2.10     0.081
##  [140,]           7.8            0.560        0.19           2.00     0.081
##  [141,]           8.4            0.745        0.11           1.90     0.090
##  [142,]           8.3            0.715        0.15           1.80     0.089
##  [143,]           5.2            0.340        0.00           1.80     0.050
##  [144,]           6.3            0.390        0.08           1.70     0.066
##  [145,]           5.2            0.340        0.00           1.80     0.050
##  [146,]           8.1            0.670        0.55           1.80     0.117
##  [147,]           5.8            0.680        0.02           1.80     0.087
##  [148,]           7.6            0.490        0.26           1.60     0.236
##  [149,]           6.9            0.490        0.10           2.30     0.074
##  [150,]           8.2            0.400        0.44           2.80     0.089
##  [151,]           7.3            0.330        0.47           2.10     0.077
##  [152,]           9.2            0.520        1.00           3.40     0.610
##  [153,]           7.5            0.600        0.03           1.80     0.095
##  [154,]           7.5            0.600        0.03           1.80     0.095
##  [155,]           7.1            0.430        0.42           5.50     0.070
##  [156,]           7.1            0.430        0.42           5.50     0.071
##  [157,]           7.1            0.430        0.42           5.50     0.070
##  [158,]           7.1            0.430        0.42           5.50     0.071
##  [159,]           7.1            0.680        0.00           2.20     0.073
##  [160,]           6.8            0.600        0.18           1.90     0.079
##  [161,]           7.6            0.950        0.03           2.00     0.090
##  [162,]           7.6            0.680        0.02           1.30     0.072
##  [163,]           7.8            0.530        0.04           1.70     0.076
##  [164,]           7.4            0.600        0.26           7.30     0.070
##  [165,]           7.3            0.590        0.26           7.20     0.070
##  [166,]           7.8            0.630        0.48           1.70     0.100
##  [167,]           6.8            0.640        0.10           2.10     0.085
##  [168,]           7.3            0.550        0.03           1.60     0.072
##  [169,]           6.8            0.630        0.07           2.10     0.089
##  [170,]           7.5            0.705        0.24           1.80     0.360
##  [171,]           7.9            0.885        0.03           1.80     0.058
##  [172,]           8.0            0.420        0.17           2.00     0.073
##  [173,]           8.0            0.420        0.17           2.00     0.073
##  [174,]           7.4            0.620        0.05           1.90     0.068
##  [175,]           7.3            0.380        0.21           2.00     0.080
##  [176,]           6.9            0.500        0.04           1.50     0.085
##  [177,]           7.3            0.380        0.21           2.00     0.080
##  [178,]           7.5            0.520        0.42           2.30     0.087
##  [179,]           7.0            0.805        0.00           2.50     0.068
##  [180,]           8.8            0.610        0.14           2.40     0.067
##  [181,]           8.8            0.610        0.14           2.40     0.067
##  [182,]           8.9            0.610        0.49           2.00     0.270
##  [183,]           7.2            0.730        0.02           2.50     0.076
##  [184,]           6.8            0.610        0.20           1.80     0.077
##  [185,]           6.7            0.620        0.21           1.90     0.079
##  [186,]           8.9            0.310        0.57           2.00     0.111
##  [187,]           7.4            0.390        0.48           2.00     0.082
##  [188,]           7.7            0.705        0.10           2.60     0.084
##  [189,]           7.9            0.500        0.33           2.00     0.084
##  [190,]           7.9            0.490        0.32           1.90     0.082
##  [191,]           8.2            0.500        0.35           2.90     0.077
##  [192,]           6.4            0.370        0.25           1.90     0.074
##  [193,]           6.8            0.630        0.12           3.80     0.099
##  [194,]           7.6            0.550        0.21           2.20     0.071
##  [195,]           7.6            0.550        0.21           2.20     0.071
##  [196,]           7.8            0.590        0.33           2.00     0.074
##  [197,]           7.3            0.580        0.30           2.40     0.074
##  [198,]          11.5            0.300        0.60           2.00     0.067
##  [199,]           5.4            0.835        0.08           1.20     0.046
##  [200,]           6.9            1.090        0.06           2.10     0.061
##  [201,]           9.6            0.320        0.47           1.40     0.056
##  [202,]           8.8            0.370        0.48           2.10     0.097
##  [203,]           6.8            0.500        0.11           1.50     0.075
##  [204,]           7.0            0.420        0.35           1.60     0.088
##  [205,]           7.0            0.430        0.36           1.60     0.089
##  [206,]          12.8            0.300        0.74           2.60     0.095
##  [207,]          12.8            0.300        0.74           2.60     0.095
##  [208,]           7.8            0.570        0.31           1.80     0.069
##  [209,]           7.8            0.440        0.28           2.70     0.100
##  [210,]          11.0            0.300        0.58           2.10     0.054
##  [211,]           9.7            0.530        0.60           2.00     0.039
##  [212,]           8.0            0.725        0.24           2.80     0.083
##  [213,]          11.6            0.440        0.64           2.10     0.059
##  [214,]           8.2            0.570        0.26           2.20     0.060
##  [215,]           7.8            0.735        0.08           2.40     0.092
##  [216,]           7.0            0.490        0.49           5.60     0.060
##  [217,]           8.7            0.625        0.16           2.00     0.101
##  [218,]           8.1            0.725        0.22           2.20     0.072
##  [219,]           7.5            0.490        0.19           1.90     0.076
##  [220,]           7.8            0.530        0.33           2.40     0.080
##  [221,]           7.8            0.340        0.37           2.00     0.082
##  [222,]           7.4            0.530        0.26           2.00     0.101
##  [223,]           6.8            0.610        0.04           1.50     0.057
##  [224,]           8.6            0.645        0.25           2.00     0.083
##  [225,]           8.4            0.635        0.36           2.00     0.089
##  [226,]           7.7            0.430        0.25           2.60     0.073
##  [227,]           8.9            0.590        0.50           2.00     0.337
##  [228,]           9.0            0.820        0.14           2.60     0.089
##  [229,]           7.7            0.430        0.25           2.60     0.073
##  [230,]           6.9            0.520        0.25           2.60     0.081
##  [231,]           5.2            0.480        0.04           1.60     0.054
##  [232,]           8.0            0.380        0.06           1.80     0.078
##  [233,]           8.5            0.370        0.20           2.80     0.090
##  [234,]           6.9            0.520        0.25           2.60     0.081
##  [235,]           8.2            1.000        0.09           2.30     0.065
##  [236,]           7.2            0.630        0.00           1.90     0.097
##  [237,]           7.2            0.630        0.00           1.90     0.097
##  [238,]           7.2            0.645        0.00           1.90     0.097
##  [239,]           7.2            0.630        0.00           1.90     0.097
##  [240,]           8.2            1.000        0.09           2.30     0.065
##  [241,]           8.9            0.635        0.37           1.70     0.263
##  [242,]          12.0            0.380        0.56           2.10     0.093
##  [243,]           7.7            0.580        0.10           1.80     0.102
##  [244,]          15.0            0.210        0.44           2.20     0.075
##  [245,]          15.0            0.210        0.44           2.20     0.075
##  [246,]           7.3            0.660        0.00           2.00     0.084
##  [247,]           7.1            0.680        0.07           1.90     0.075
##  [248,]           8.2            0.600        0.17           2.30     0.072
##  [249,]           7.7            0.530        0.06           1.70     0.074
##  [250,]           7.3            0.660        0.00           2.00     0.084
##  [251,]          10.8            0.320        0.44           1.60     0.063
##  [252,]           7.1            0.600        0.00           1.80     0.074
##  [253,]          11.1            0.350        0.48           3.10     0.090
##  [254,]           7.7            0.775        0.42           1.90     0.092
##  [255,]           7.1            0.600        0.00           1.80     0.074
##  [256,]           8.0            0.570        0.23           3.20     0.073
##  [257,]           9.4            0.340        0.37           2.20     0.075
##  [258,]           6.6            0.695        0.00           2.10     0.075
##  [259,]           7.7            0.410        0.76           1.80     0.611
##  [260,]          10.0            0.310        0.47           2.60     0.085
##  [261,]           7.9            0.330        0.23           1.70     0.077
##  [262,]           7.0            0.975        0.04           2.00     0.087
##  [263,]           8.0            0.520        0.03           1.70     0.070
##  [264,]           7.9            0.370        0.23           1.80     0.077
##  [265,]          12.5            0.560        0.49           2.40     0.064
##  [266,]          11.8            0.260        0.52           1.80     0.071
##  [267,]           8.1            0.870        0.00           3.30     0.096
##  [268,]           7.9            0.350        0.46           3.60     0.078
##  [269,]           6.9            0.540        0.04           3.00     0.077
##  [270,]          11.5            0.180        0.51           4.00     0.104
##  [271,]           7.9            0.545        0.06           4.00     0.087
##  [272,]          11.5            0.180        0.51           4.00     0.104
##  [273,]          10.9            0.370        0.58           4.00     0.071
##  [274,]           8.4            0.715        0.20           2.40     0.076
##  [275,]           7.5            0.650        0.18           7.00     0.088
##  [276,]           7.9            0.545        0.06           4.00     0.087
##  [277,]           6.9            0.540        0.04           3.00     0.077
##  [278,]          11.5            0.180        0.51           4.00     0.104
##  [279,]          10.3            0.320        0.45           6.40     0.073
##  [280,]           8.9            0.400        0.32           5.60     0.087
##  [281,]          11.4            0.260        0.44           3.60     0.071
##  [282,]           7.7            0.270        0.68           3.50     0.358
##  [283,]           7.6            0.520        0.12           3.00     0.067
##  [284,]           8.9            0.400        0.32           5.60     0.087
##  [285,]           9.9            0.590        0.07           3.40     0.102
##  [286,]           9.9            0.590        0.07           3.40     0.102
##  [287,]          12.0            0.450        0.55           2.00     0.073
##  [288,]           7.5            0.400        0.12           3.00     0.092
##  [289,]           8.7            0.520        0.09           2.50     0.091
##  [290,]          11.6            0.420        0.53           3.30     0.105
##  [291,]           8.7            0.520        0.09           2.50     0.091
##  [292,]          11.0            0.200        0.48           2.00     0.343
##  [293,]          10.4            0.550        0.23           2.70     0.091
##  [294,]           6.9            0.360        0.25           2.40     0.098
##  [295,]          13.3            0.340        0.52           3.20     0.094
##  [296,]          10.8            0.500        0.46           2.50     0.073
##  [297,]          10.6            0.830        0.37           2.60     0.086
##  [298,]           7.1            0.630        0.06           2.00     0.083
##  [299,]           7.2            0.650        0.02           2.30     0.094
##  [300,]           6.9            0.670        0.06           2.10     0.080
##  [301,]           7.5            0.530        0.06           2.60     0.086
##  [302,]          11.1            0.180        0.48           1.50     0.068
##  [303,]           8.3            0.705        0.12           2.60     0.092
##  [304,]           7.4            0.670        0.12           1.60     0.186
##  [305,]           8.4            0.650        0.60           2.10     0.112
##  [306,]          10.3            0.530        0.48           2.50     0.063
##  [307,]           7.6            0.620        0.32           2.20     0.082
##  [308,]          10.3            0.410        0.42           2.40     0.213
##  [309,]          10.3            0.430        0.44           2.40     0.214
##  [310,]           7.4            0.290        0.38           1.70     0.062
##  [311,]          10.3            0.530        0.48           2.50     0.063
##  [312,]           7.9            0.530        0.24           2.00     0.072
##  [313,]           9.0            0.460        0.31           2.80     0.093
##  [314,]           8.6            0.470        0.30           3.00     0.076
##  [315,]           7.4            0.360        0.29           2.60     0.087
##  [316,]           7.1            0.350        0.29           2.50     0.096
##  [317,]           9.6            0.560        0.23           3.40     0.102
##  [318,]           9.6            0.770        0.12           2.90     0.082
##  [319,]           9.8            0.660        0.39           3.20     0.083
##  [320,]           9.6            0.770        0.12           2.90     0.082
##  [321,]           9.8            0.660        0.39           3.20     0.083
##  [322,]           9.3            0.610        0.26           3.40     0.090
##  [323,]           7.8            0.620        0.05           2.30     0.079
##  [324,]          10.3            0.590        0.42           2.80     0.090
##  [325,]          10.0            0.490        0.20          11.00     0.071
##  [326,]          10.0            0.490        0.20          11.00     0.071
##  [327,]          11.6            0.530        0.66           3.65     0.121
##  [328,]          10.3            0.440        0.50           4.50     0.107
##  [329,]          13.4            0.270        0.62           2.60     0.082
##  [330,]          10.7            0.460        0.39           2.00     0.061
##  [331,]          10.2            0.360        0.64           2.90     0.122
##  [332,]          10.2            0.360        0.64           2.90     0.122
##  [333,]           8.0            0.580        0.28           3.20     0.066
##  [334,]           8.4            0.560        0.08           2.10     0.105
##  [335,]           7.9            0.650        0.01           2.50     0.078
##  [336,]          11.9            0.695        0.53           3.40     0.128
##  [337,]           8.9            0.430        0.45           1.90     0.052
##  [338,]           7.8            0.430        0.32           2.80     0.080
##  [339,]          12.4            0.490        0.58           3.00     0.103
##  [340,]          12.5            0.280        0.54           2.30     0.082
##  [341,]          12.2            0.340        0.50           2.40     0.066
##  [342,]          10.6            0.420        0.48           2.70     0.065
##  [343,]          10.9            0.390        0.47           1.80     0.118
##  [344,]          10.9            0.390        0.47           1.80     0.118
##  [345,]          11.9            0.570        0.50           2.60     0.082
##  [346,]           7.0            0.685        0.00           1.90     0.067
##  [347,]           6.6            0.815        0.02           2.70     0.072
##  [348,]          13.8            0.490        0.67           3.00     0.093
##  [349,]           9.6            0.560        0.31           2.80     0.089
##  [350,]           9.1            0.785        0.00           2.60     0.093
##  [351,]          10.7            0.670        0.22           2.70     0.107
##  [352,]           9.1            0.795        0.00           2.60     0.096
##  [353,]           7.7            0.665        0.00           2.40     0.090
##  [354,]          13.5            0.530        0.79           4.80     0.120
##  [355,]           6.1            0.210        0.40           1.40     0.066
##  [356,]           6.7            0.750        0.01           2.40     0.078
##  [357,]          11.5            0.410        0.52           3.00     0.080
##  [358,]          10.5            0.420        0.66           2.95     0.116
##  [359,]          11.9            0.430        0.66           3.10     0.109
##  [360,]          12.6            0.380        0.66           2.60     0.088
##  [361,]           8.2            0.700        0.23           2.00     0.099
##  [362,]           8.6            0.450        0.31           2.60     0.086
##  [363,]          11.9            0.580        0.66           2.50     0.072
##  [364,]          12.5            0.460        0.63           2.00     0.071
##  [365,]          12.8            0.615        0.66           5.80     0.083
##  [366,]          10.0            0.420        0.50           3.40     0.107
##  [367,]          12.8            0.615        0.66           5.80     0.083
##  [368,]          10.4            0.575        0.61           2.60     0.076
##  [369,]          10.3            0.340        0.52           2.80     0.159
##  [370,]           9.4            0.270        0.53           2.40     0.074
##  [371,]           6.9            0.765        0.02           2.30     0.063
##  [372,]           7.9            0.240        0.40           1.60     0.056
##  [373,]           9.1            0.280        0.48           1.80     0.067
##  [374,]           7.4            0.550        0.22           2.20     0.106
##  [375,]          14.0            0.410        0.63           3.80     0.089
##  [376,]          11.5            0.540        0.71           4.40     0.124
##  [377,]          11.5            0.450        0.50           3.00     0.078
##  [378,]           9.4            0.270        0.53           2.40     0.074
##  [379,]          11.4            0.625        0.66           6.20     0.088
##  [380,]           8.3            0.420        0.38           2.50     0.094
##  [381,]           8.3            0.260        0.42           2.00     0.080
##  [382,]          13.7            0.415        0.68           2.90     0.085
##  [383,]           8.3            0.260        0.42           2.00     0.080
##  [384,]           8.3            0.260        0.42           2.00     0.080
##  [385,]           7.7            0.510        0.28           2.10     0.087
##  [386,]           7.4            0.630        0.07           2.40     0.090
##  [387,]           7.8            0.540        0.26           2.00     0.088
##  [388,]           8.3            0.660        0.15           1.90     0.079
##  [389,]           7.8            0.460        0.26           1.90     0.088
##  [390,]           9.6            0.380        0.31           2.50     0.096
##  [391,]           5.6            0.850        0.05           1.40     0.045
##  [392,]          13.7            0.415        0.68           2.90     0.085
##  [393,]           9.5            0.370        0.52           2.00     0.082
##  [394,]           8.4            0.665        0.61           2.00     0.112
##  [395,]          12.7            0.600        0.65           2.30     0.063
##  [396,]          12.0            0.370        0.76           4.20     0.066
##  [397,]           6.6            0.735        0.02           7.90     0.122
##  [398,]          11.5            0.590        0.59           2.60     0.087
##  [399,]          11.5            0.590        0.59           2.60     0.087
##  [400,]           8.7            0.765        0.22           2.30     0.064
##  [401,]           6.6            0.735        0.02           7.90     0.122
##  [402,]           7.7            0.260        0.30           1.70     0.059
##  [403,]          12.2            0.480        0.54           2.60     0.085
##  [404,]          11.4            0.600        0.49           2.70     0.085
##  [405,]           7.7            0.690        0.05           2.70     0.075
##  [406,]           8.7            0.310        0.46           1.40     0.059
##  [407,]           9.8            0.440        0.47           2.50     0.063
##  [408,]          12.0            0.390        0.66           3.00     0.093
##  [409,]          10.4            0.340        0.58           3.70     0.174
##  [410,]          12.5            0.460        0.49           4.50     0.070
##  [411,]           9.0            0.430        0.34           2.50     0.080
##  [412,]           9.1            0.450        0.35           2.40     0.080
##  [413,]           7.1            0.735        0.16           1.90     0.100
##  [414,]           9.9            0.400        0.53           6.70     0.097
##  [415,]           8.8            0.520        0.34           2.70     0.087
##  [416,]           8.6            0.725        0.24           6.60     0.117
##  [417,]          10.6            0.480        0.64           2.20     0.111
##  [418,]           7.0            0.580        0.12           1.90     0.091
##  [419,]          11.9            0.380        0.51           2.00     0.121
##  [420,]           6.8            0.770        0.00           1.80     0.066
##  [421,]           9.5            0.560        0.33           2.40     0.089
##  [422,]           6.6            0.840        0.03           2.30     0.059
##  [423,]           7.7            0.960        0.20           2.00     0.047
##  [424,]          10.5            0.240        0.47           2.10     0.066
##  [425,]           7.7            0.960        0.20           2.00     0.047
##  [426,]           6.6            0.840        0.03           2.30     0.059
##  [427,]           6.4            0.670        0.08           2.10     0.045
##  [428,]           9.5            0.780        0.22           1.90     0.077
##  [429,]           9.1            0.520        0.33           1.30     0.070
##  [430,]          12.8            0.840        0.63           2.40     0.088
##  [431,]          10.5            0.240        0.47           2.10     0.066
##  [432,]           7.8            0.550        0.35           2.20     0.074
##  [433,]          11.9            0.370        0.69           2.30     0.078
##  [434,]          12.3            0.390        0.63           2.30     0.091
##  [435,]          10.4            0.410        0.55           3.20     0.076
##  [436,]          12.3            0.390        0.63           2.30     0.091
##  [437,]           8.0            0.670        0.30           2.00     0.060
##  [438,]          11.1            0.450        0.73           3.20     0.066
##  [439,]          10.4            0.410        0.55           3.20     0.076
##  [440,]           7.0            0.620        0.18           1.50     0.062
##  [441,]          12.6            0.310        0.72           2.20     0.072
##  [442,]          11.9            0.400        0.65           2.15     0.068
##  [443,]          15.6            0.685        0.76           3.70     0.100
##  [444,]          10.0            0.440        0.49           2.70     0.077
##  [445,]           5.3            0.570        0.01           1.70     0.054
##  [446,]           9.5            0.735        0.10           2.10     0.079
##  [447,]          12.5            0.380        0.60           2.60     0.081
##  [448,]           9.3            0.480        0.29           2.10     0.127
##  [449,]           8.6            0.530        0.22           2.00     0.100
##  [450,]          11.9            0.390        0.69           2.80     0.095
##  [451,]          11.9            0.390        0.69           2.80     0.095
##  [452,]           8.4            0.370        0.53           1.80     0.413
##  [453,]           6.8            0.560        0.03           1.70     0.084
##  [454,]          10.4            0.330        0.63           2.80     0.084
##  [455,]           7.0            0.230        0.40           1.60     0.063
##  [456,]          11.3            0.620        0.67           5.20     0.086
##  [457,]           8.9            0.590        0.39           2.30     0.095
##  [458,]           9.2            0.630        0.21           2.70     0.097
##  [459,]          10.4            0.330        0.63           2.80     0.084
##  [460,]          11.6            0.580        0.66           2.20     0.074
##  [461,]           9.2            0.430        0.52           2.30     0.083
##  [462,]           8.3            0.615        0.22           2.60     0.087
##  [463,]          11.0            0.260        0.68           2.55     0.085
##  [464,]           8.1            0.660        0.70           2.20     0.098
##  [465,]          11.5            0.315        0.54           2.10     0.084
##  [466,]          10.0            0.290        0.40           2.90     0.098
##  [467,]          10.3            0.500        0.42           2.00     0.069
##  [468,]           8.8            0.460        0.45           2.60     0.065
##  [469,]          11.4            0.360        0.69           2.10     0.090
##  [470,]           8.7            0.820        0.02           1.20     0.070
##  [471,]          13.0            0.320        0.65           2.60     0.093
##  [472,]           9.6            0.540        0.42           2.40     0.081
##  [473,]          12.5            0.370        0.55           2.60     0.083
##  [474,]           9.9            0.350        0.55           2.10     0.062
##  [475,]          10.5            0.280        0.51           1.70     0.080
##  [476,]           9.6            0.680        0.24           2.20     0.087
##  [477,]           9.3            0.270        0.41           2.00     0.091
##  [478,]          10.4            0.240        0.49           1.80     0.075
##  [479,]           9.6            0.680        0.24           2.20     0.087
##  [480,]           9.4            0.685        0.11           2.70     0.077
##  [481,]          10.6            0.280        0.39          15.50     0.069
##  [482,]           9.4            0.300        0.56           2.80     0.080
##  [483,]          10.6            0.360        0.59           2.20     0.152
##  [484,]          10.6            0.360        0.60           2.20     0.152
##  [485,]          10.6            0.440        0.68           4.10     0.114
##  [486,]          10.2            0.670        0.39           1.90     0.054
##  [487,]          10.2            0.670        0.39           1.90     0.054
##  [488,]          10.2            0.645        0.36           1.80     0.053
##  [489,]          11.6            0.320        0.55           2.80     0.081
##  [490,]           9.3            0.390        0.40           2.60     0.073
##  [491,]           9.3            0.775        0.27           2.80     0.078
##  [492,]           9.2            0.410        0.50           2.50     0.055
##  [493,]           8.9            0.400        0.51           2.60     0.052
##  [494,]           8.7            0.690        0.31           3.00     0.086
##  [495,]           6.5            0.390        0.23           8.30     0.051
##  [496,]          10.7            0.350        0.53           2.60     0.070
##  [497,]           7.8            0.520        0.25           1.90     0.081
##  [498,]           7.2            0.340        0.32           2.50     0.090
##  [499,]          10.7            0.350        0.53           2.60     0.070
##  [500,]           8.7            0.690        0.31           3.00     0.086
##  [501,]           7.8            0.520        0.25           1.90     0.081
##  [502,]          10.4            0.440        0.73           6.55     0.074
##  [503,]          10.4            0.440        0.73           6.55     0.074
##  [504,]          10.5            0.260        0.47           1.90     0.078
##  [505,]          10.5            0.240        0.42           1.80     0.077
##  [506,]          10.2            0.490        0.63           2.90     0.072
##  [507,]          10.4            0.240        0.46           1.80     0.075
##  [508,]          11.2            0.670        0.55           2.30     0.084
##  [509,]          10.0            0.590        0.31           2.20     0.090
##  [510,]          13.3            0.290        0.75           2.80     0.084
##  [511,]          12.4            0.420        0.49           4.60     0.073
##  [512,]          10.0            0.590        0.31           2.20     0.090
##  [513,]          10.7            0.400        0.48           2.10     0.125
##  [514,]          10.5            0.510        0.64           2.40     0.107
##  [515,]          10.5            0.510        0.64           2.40     0.107
##  [516,]           8.5            0.655        0.49           6.10     0.122
##  [517,]          12.5            0.600        0.49           4.30     0.100
##  [518,]          10.4            0.610        0.49           2.10     0.200
##  [519,]          10.9            0.210        0.49           2.80     0.088
##  [520,]           7.3            0.365        0.49           2.50     0.088
##  [521,]           9.8            0.250        0.49           2.70     0.088
##  [522,]           7.6            0.410        0.49           2.00     0.088
##  [523,]           8.2            0.390        0.49           2.30     0.099
##  [524,]           9.3            0.400        0.49           2.50     0.085
##  [525,]           9.2            0.430        0.49           2.40     0.086
##  [526,]          10.4            0.640        0.24           2.80     0.105
##  [527,]           7.3            0.365        0.49           2.50     0.088
##  [528,]           7.0            0.380        0.49           2.50     0.097
##  [529,]           8.2            0.420        0.49           2.60     0.084
##  [530,]           9.9            0.630        0.24           2.40     0.077
##  [531,]           9.1            0.220        0.24           2.10     0.078
##  [532,]          11.9            0.380        0.49           2.70     0.098
##  [533,]          11.9            0.380        0.49           2.70     0.098
##  [534,]          10.3            0.270        0.24           2.10     0.072
##  [535,]          10.0            0.480        0.24           2.70     0.102
##  [536,]           9.1            0.220        0.24           2.10     0.078
##  [537,]           9.9            0.630        0.24           2.40     0.077
##  [538,]           8.1            0.825        0.24           2.10     0.084
##  [539,]          12.9            0.350        0.49           5.80     0.066
##  [540,]          11.2            0.500        0.74           5.15     0.100
##  [541,]           9.2            0.590        0.24           3.30     0.101
##  [542,]           9.5            0.460        0.49           6.30     0.064
##  [543,]           9.3            0.715        0.24           2.10     0.070
##  [544,]          11.2            0.660        0.24           2.50     0.085
##  [545,]          14.3            0.310        0.74           1.80     0.075
##  [546,]           9.1            0.470        0.49           2.60     0.094
##  [547,]           7.5            0.550        0.24           2.00     0.078
##  [548,]          10.6            0.310        0.49           2.50     0.067
##  [549,]          12.4            0.350        0.49           2.60     0.079
##  [550,]           9.0            0.530        0.49           1.90     0.171
##  [551,]           6.8            0.510        0.01           2.10     0.074
##  [552,]           9.4            0.430        0.24           2.80     0.092
##  [553,]           9.5            0.460        0.24           2.70     0.092
##  [554,]           5.0            1.040        0.24           1.60     0.050
##  [555,]          15.5            0.645        0.49           4.20     0.095
##  [556,]          15.5            0.645        0.49           4.20     0.095
##  [557,]          10.9            0.530        0.49           4.60     0.118
##  [558,]          15.6            0.645        0.49           4.20     0.095
##  [559,]          10.9            0.530        0.49           4.60     0.118
##  [560,]          13.0            0.470        0.49           4.30     0.085
##  [561,]          12.7            0.600        0.49           2.80     0.075
##  [562,]           9.0            0.440        0.49           2.40     0.078
##  [563,]           9.0            0.540        0.49           2.90     0.094
##  [564,]           7.6            0.290        0.49           2.70     0.092
##  [565,]          13.0            0.470        0.49           4.30     0.085
##  [566,]          12.7            0.600        0.49           2.80     0.075
##  [567,]           8.7            0.700        0.24           2.50     0.226
##  [568,]           8.7            0.700        0.24           2.50     0.226
##  [569,]           9.8            0.500        0.49           2.60     0.250
##  [570,]           6.2            0.360        0.24           2.20     0.095
##  [571,]          11.5            0.350        0.49           3.30     0.070
##  [572,]           6.2            0.360        0.24           2.20     0.095
##  [573,]          10.2            0.240        0.49           2.40     0.075
##  [574,]          10.5            0.590        0.49           2.10     0.070
##  [575,]          10.6            0.340        0.49           3.20     0.078
##  [576,]          12.3            0.270        0.49           3.10     0.079
##  [577,]           9.9            0.500        0.24           2.30     0.103
##  [578,]           8.8            0.440        0.49           2.80     0.083
##  [579,]           8.8            0.470        0.49           2.90     0.085
##  [580,]          10.6            0.310        0.49           2.20     0.063
##  [581,]          12.3            0.500        0.49           2.20     0.089
##  [582,]          12.3            0.500        0.49           2.20     0.089
##  [583,]          11.7            0.490        0.49           2.20     0.083
##  [584,]          12.0            0.280        0.49           1.90     0.074
##  [585,]          11.8            0.330        0.49           3.40     0.093
##  [586,]           7.6            0.510        0.24           2.40     0.091
##  [587,]          11.1            0.310        0.49           2.70     0.094
##  [588,]           7.3            0.730        0.24           1.90     0.108
##  [589,]           5.0            0.420        0.24           2.00     0.060
##  [590,]          10.2            0.290        0.49           2.60     0.059
##  [591,]           9.0            0.450        0.49           2.60     0.084
##  [592,]           6.6            0.390        0.49           1.70     0.070
##  [593,]           9.0            0.450        0.49           2.60     0.084
##  [594,]           9.9            0.490        0.58           3.50     0.094
##  [595,]           7.9            0.720        0.17           2.60     0.096
##  [596,]           8.9            0.595        0.41           7.90     0.086
##  [597,]          12.4            0.400        0.51           2.00     0.059
##  [598,]          11.9            0.580        0.58           1.90     0.071
##  [599,]           8.5            0.585        0.18           2.10     0.078
##  [600,]          12.7            0.590        0.45           2.30     0.082
##  [601,]           8.2            0.915        0.27           2.10     0.088
##  [602,]          13.2            0.460        0.52           2.20     0.071
##  [603,]           7.7            0.835        0.00           2.60     0.081
##  [604,]          13.2            0.460        0.52           2.20     0.071
##  [605,]           8.3            0.580        0.13           2.90     0.096
##  [606,]           8.3            0.600        0.13           2.60     0.085
##  [607,]           9.4            0.410        0.48           4.60     0.072
##  [608,]           8.8            0.480        0.41           3.30     0.092
##  [609,]          10.1            0.650        0.37           5.10     0.110
##  [610,]           6.3            0.360        0.19           3.20     0.075
##  [611,]           8.8            0.240        0.54           2.50     0.083
##  [612,]          13.2            0.380        0.55           2.70     0.081
##  [613,]           7.5            0.640        0.00           2.40     0.077
##  [614,]           8.2            0.390        0.38           1.50     0.058
##  [615,]           9.2            0.755        0.18           2.20     0.148
##  [616,]           9.6            0.600        0.50           2.30     0.079
##  [617,]           9.6            0.600        0.50           2.30     0.079
##  [618,]          11.5            0.310        0.51           2.20     0.079
##  [619,]          11.4            0.460        0.50           2.70     0.122
##  [620,]          11.3            0.370        0.41           2.30     0.088
##  [621,]           8.3            0.540        0.24           3.40     0.076
##  [622,]           8.2            0.560        0.23           3.40     0.078
##  [623,]          10.0            0.580        0.22           1.90     0.080
##  [624,]           7.9            0.510        0.25           2.90     0.077
##  [625,]           6.8            0.690        0.00           5.60     0.124
##  [626,]           6.8            0.690        0.00           5.60     0.124
##  [627,]           8.8            0.600        0.29           2.20     0.098
##  [628,]           8.8            0.600        0.29           2.20     0.098
##  [629,]           8.7            0.540        0.26           2.50     0.097
##  [630,]           7.6            0.685        0.23           2.30     0.111
##  [631,]           8.7            0.540        0.26           2.50     0.097
##  [632,]          10.4            0.280        0.54           2.70     0.105
##  [633,]           7.6            0.410        0.14           3.00     0.087
##  [634,]          10.1            0.935        0.22           3.40     0.105
##  [635,]           7.9            0.350        0.21           1.90     0.073
##  [636,]           8.7            0.840        0.00           1.40     0.065
##  [637,]           9.6            0.880        0.28           2.40     0.086
##  [638,]           9.5            0.885        0.27           2.30     0.084
##  [639,]           7.7            0.915        0.12           2.20     0.143
##  [640,]           8.9            0.290        0.35           1.90     0.067
##  [641,]           9.9            0.540        0.45           2.30     0.071
##  [642,]           9.5            0.590        0.44           2.30     0.071
##  [643,]           9.9            0.540        0.45           2.30     0.071
##  [644,]           9.5            0.590        0.44           2.30     0.071
##  [645,]           9.9            0.540        0.45           2.30     0.071
##  [646,]           7.8            0.640        0.10           6.00     0.115
##  [647,]           7.3            0.670        0.05           3.60     0.107
##  [648,]           8.3            0.845        0.01           2.20     0.070
##  [649,]           8.7            0.480        0.30           2.80     0.066
##  [650,]           6.7            0.420        0.27           8.60     0.068
##  [651,]          10.7            0.430        0.39           2.20     0.106
##  [652,]           9.8            0.880        0.25           2.50     0.104
##  [653,]          15.9            0.360        0.65           7.50     0.096
##  [654,]           9.4            0.330        0.59           2.80     0.079
##  [655,]           8.6            0.470        0.47           2.40     0.074
##  [656,]           9.7            0.550        0.17           2.90     0.087
##  [657,]          10.7            0.430        0.39           2.20     0.106
##  [658,]          12.0            0.500        0.59           1.40     0.073
##  [659,]           7.2            0.520        0.07           1.40     0.074
##  [660,]           7.1            0.840        0.02           4.40     0.096
##  [661,]           7.2            0.520        0.07           1.40     0.074
##  [662,]           7.5            0.420        0.31           1.60     0.080
##  [663,]           7.2            0.570        0.06           1.60     0.076
##  [664,]          10.1            0.280        0.46           1.80     0.050
##  [665,]          12.1            0.400        0.52           2.00     0.092
##  [666,]           9.4            0.590        0.14           2.00     0.084
##  [667,]           8.3            0.490        0.36           1.80     0.222
##  [668,]          11.3            0.340        0.45           2.00     0.082
##  [669,]          10.0            0.730        0.43           2.30     0.059
##  [670,]          11.3            0.340        0.45           2.00     0.082
##  [671,]           6.9            0.400        0.24           2.50     0.083
##  [672,]           8.2            0.730        0.21           1.70     0.074
##  [673,]           9.8            1.240        0.34           2.00     0.079
##  [674,]           8.2            0.730        0.21           1.70     0.074
##  [675,]          10.8            0.400        0.41           2.20     0.084
##  [676,]           9.3            0.410        0.39           2.20     0.064
##  [677,]          10.8            0.400        0.41           2.20     0.084
##  [678,]           8.6            0.800        0.11           2.30     0.084
##  [679,]           8.3            0.780        0.10           2.60     0.081
##  [680,]          10.8            0.260        0.45           3.30     0.060
##  [681,]          13.3            0.430        0.58           1.90     0.070
##  [682,]           8.0            0.450        0.23           2.20     0.094
##  [683,]           8.5            0.460        0.31           2.25     0.078
##  [684,]           8.1            0.780        0.23           2.60     0.059
##  [685,]           9.8            0.980        0.32           2.30     0.078
##  [686,]           8.1            0.780        0.23           2.60     0.059
##  [687,]           7.1            0.650        0.18           1.80     0.070
##  [688,]           9.1            0.640        0.23           3.10     0.095
##  [689,]           7.7            0.660        0.04           1.60     0.039
##  [690,]           8.1            0.380        0.48           1.80     0.157
##  [691,]           7.4            1.185        0.00           4.25     0.097
##  [692,]           9.2            0.920        0.24           2.60     0.087
##  [693,]           8.6            0.490        0.51           2.00     0.422
##  [694,]           9.0            0.480        0.32           2.80     0.084
##  [695,]           9.0            0.470        0.31           2.70     0.084
##  [696,]           5.1            0.470        0.02           1.30     0.034
##  [697,]           7.0            0.650        0.02           2.10     0.066
##  [698,]           7.0            0.650        0.02           2.10     0.066
##  [699,]           9.4            0.615        0.28           3.20     0.087
##  [700,]          11.8            0.380        0.55           2.10     0.071
##  [701,]          10.6            1.020        0.43           2.90     0.076
##  [702,]           7.0            0.650        0.02           2.10     0.066
##  [703,]           7.0            0.640        0.02           2.10     0.067
##  [704,]           7.5            0.380        0.48           2.60     0.073
##  [705,]           9.1            0.765        0.04           1.60     0.078
##  [706,]           8.4            1.035        0.15           6.00     0.073
##  [707,]           7.0            0.780        0.08           2.00     0.093
##  [708,]           7.4            0.490        0.19           3.00     0.077
##  [709,]           7.8            0.545        0.12           2.50     0.068
##  [710,]           9.7            0.310        0.47           1.60     0.062
##  [711,]          10.6            1.025        0.43           2.80     0.080
##  [712,]           8.9            0.565        0.34           3.00     0.093
##  [713,]           8.7            0.690        0.00           3.20     0.084
##  [714,]           8.0            0.430        0.36           2.30     0.075
##  [715,]           9.9            0.740        0.28           2.60     0.078
##  [716,]           7.2            0.490        0.18           2.70     0.069
##  [717,]           8.0            0.430        0.36           2.30     0.075
##  [718,]           7.6            0.460        0.11           2.60     0.079
##  [719,]           8.4            0.560        0.04           2.00     0.082
##  [720,]           7.1            0.660        0.00           3.90     0.086
##  [721,]           8.4            0.560        0.04           2.00     0.082
##  [722,]           8.9            0.480        0.24           2.85     0.094
##  [723,]           7.6            0.420        0.08           2.70     0.084
##  [724,]           7.1            0.310        0.30           2.20     0.053
##  [725,]           7.5            1.115        0.10           3.10     0.086
##  [726,]           9.0            0.660        0.17           3.00     0.077
##  [727,]           8.1            0.720        0.09           2.80     0.084
##  [728,]           6.4            0.570        0.02           1.80     0.067
##  [729,]           6.4            0.570        0.02           1.80     0.067
##  [730,]           6.4            0.865        0.03           3.20     0.071
##  [731,]           9.5            0.550        0.66           2.30     0.387
##  [732,]           8.9            0.875        0.13           3.45     0.088
##  [733,]           7.3            0.835        0.03           2.10     0.092
##  [734,]           7.0            0.450        0.34           2.70     0.082
##  [735,]           7.7            0.560        0.20           2.00     0.075
##  [736,]           7.7            0.965        0.10           2.10     0.112
##  [737,]           7.7            0.965        0.10           2.10     0.112
##  [738,]           8.2            0.590        0.00           2.50     0.093
##  [739,]           9.0            0.460        0.23           2.80     0.092
##  [740,]           9.0            0.690        0.00           2.40     0.088
##  [741,]           8.3            0.760        0.29           4.20     0.075
##  [742,]           9.2            0.530        0.24           2.60     0.078
##  [743,]           6.5            0.615        0.00           1.90     0.065
##  [744,]          11.6            0.410        0.58           2.80     0.096
##  [745,]          11.1            0.390        0.54           2.70     0.095
##  [746,]           7.3            0.510        0.18           2.10     0.070
##  [747,]           8.2            0.340        0.38           2.50     0.080
##  [748,]           8.6            0.330        0.40           2.60     0.083
##  [749,]           7.2            0.500        0.18           2.10     0.071
##  [750,]           7.3            0.510        0.18           2.10     0.070
##  [751,]           8.3            0.650        0.10           2.90     0.089
##  [752,]           8.3            0.650        0.10           2.90     0.089
##  [753,]           7.6            0.540        0.13           2.50     0.097
##  [754,]           8.3            0.650        0.10           2.90     0.089
##  [755,]           7.8            0.480        0.68           1.70     0.415
##  [756,]           7.8            0.910        0.07           1.90     0.058
##  [757,]           6.3            0.980        0.01           2.00     0.057
##  [758,]           8.1            0.870        0.00           2.20     0.084
##  [759,]           8.1            0.870        0.00           2.20     0.084
##  [760,]           8.8            0.420        0.21           2.50     0.092
##  [761,]           9.0            0.580        0.25           2.80     0.075
##  [762,]           9.3            0.655        0.26           2.00     0.096
##  [763,]           8.8            0.700        0.00           1.70     0.069
##  [764,]           9.3            0.655        0.26           2.00     0.096
##  [765,]           9.1            0.680        0.11           2.80     0.093
##  [766,]           9.2            0.670        0.10           3.00     0.091
##  [767,]           8.8            0.590        0.18           2.90     0.089
##  [768,]           7.5            0.600        0.32           2.70     0.103
##  [769,]           7.1            0.590        0.02           2.30     0.082
##  [770,]           7.9            0.720        0.01           1.90     0.076
##  [771,]           7.1            0.590        0.02           2.30     0.082
##  [772,]           9.4            0.685        0.26           2.40     0.082
##  [773,]           9.5            0.570        0.27           2.30     0.082
##  [774,]           7.9            0.400        0.29           1.80     0.157
##  [775,]           7.9            0.400        0.30           1.80     0.157
##  [776,]           7.2            1.000        0.00           3.00     0.102
##  [777,]           6.9            0.765        0.18           2.40     0.243
##  [778,]           6.9            0.635        0.17           2.40     0.241
##  [779,]           8.3            0.430        0.30           3.40     0.079
##  [780,]           7.1            0.520        0.03           2.60     0.076
##  [781,]           7.0            0.570        0.00           2.00     0.190
##  [782,]           6.5            0.460        0.14           2.40     0.114
##  [783,]           9.0            0.820        0.05           2.40     0.081
##  [784,]           6.5            0.460        0.14           2.40     0.114
##  [785,]           7.1            0.590        0.01           2.50     0.077
##  [786,]           9.9            0.350        0.41           2.30     0.083
##  [787,]           9.9            0.350        0.41           2.30     0.083
##  [788,]          10.0            0.560        0.24           2.20     0.079
##  [789,]          10.0            0.560        0.24           2.20     0.079
##  [790,]           8.6            0.630        0.17           2.90     0.099
##  [791,]           7.4            0.370        0.43           2.60     0.082
##  [792,]           8.8            0.640        0.17           2.90     0.084
##  [793,]           7.1            0.610        0.02           2.50     0.081
##  [794,]           7.7            0.600        0.00           2.60     0.055
##  [795,]          10.1            0.270        0.54           2.30     0.065
##  [796,]          10.8            0.890        0.30           2.60     0.132
##  [797,]           8.7            0.460        0.31           2.50     0.126
##  [798,]           9.3            0.370        0.44           1.60     0.038
##  [799,]           9.4            0.500        0.34           3.60     0.082
##  [800,]           9.4            0.500        0.34           3.60     0.082
##  [801,]           7.2            0.610        0.08           4.00     0.082
##  [802,]           8.6            0.550        0.09           3.30     0.068
##  [803,]           5.1            0.585        0.00           1.70     0.044
##  [804,]           7.7            0.560        0.08           2.50     0.114
##  [805,]           8.4            0.520        0.22           2.70     0.084
##  [806,]           8.2            0.280        0.40           2.40     0.052
##  [807,]           8.4            0.250        0.39           2.00     0.041
##  [808,]           8.2            0.280        0.40           2.40     0.052
##  [809,]           7.4            0.530        0.12           1.90     0.165
##  [810,]           7.6            0.480        0.31           2.80     0.070
##  [811,]           7.3            0.490        0.10           2.60     0.068
##  [812,]          12.9            0.500        0.55           2.80     0.072
##  [813,]          10.8            0.450        0.33           2.50     0.099
##  [814,]           6.9            0.390        0.24           2.10     0.102
##  [815,]          12.6            0.410        0.54           2.80     0.103
##  [816,]          10.8            0.450        0.33           2.50     0.099
##  [817,]           9.8            0.510        0.19           3.20     0.081
##  [818,]          10.8            0.290        0.42           1.60     0.084
##  [819,]           7.1            0.715        0.00           2.35     0.071
##  [820,]           9.1            0.660        0.15           3.20     0.097
##  [821,]           7.0            0.685        0.00           1.90     0.099
##  [822,]           4.9            0.420        0.00           2.10     0.048
##  [823,]           6.7            0.540        0.13           2.00     0.076
##  [824,]           6.7            0.540        0.13           2.00     0.076
##  [825,]           7.1            0.480        0.28           2.80     0.068
##  [826,]           7.1            0.460        0.14           2.80     0.076
##  [827,]           7.5            0.270        0.34           2.30     0.050
##  [828,]           7.1            0.460        0.14           2.80     0.076
##  [829,]           7.8            0.570        0.09           2.30     0.065
##  [830,]           5.9            0.610        0.08           2.10     0.071
##  [831,]           7.5            0.685        0.07           2.50     0.058
##  [832,]           5.9            0.610        0.08           2.10     0.071
##  [833,]          10.4            0.440        0.42           1.50     0.145
##  [834,]          11.6            0.470        0.44           1.60     0.147
##  [835,]           8.8            0.685        0.26           1.60     0.088
##  [836,]           7.6            0.665        0.10           1.50     0.066
##  [837,]           6.7            0.280        0.28           2.40     0.012
##  [838,]           6.7            0.280        0.28           2.40     0.012
##  [839,]          10.1            0.310        0.35           1.60     0.075
##  [840,]           6.0            0.500        0.04           2.20     0.092
##  [841,]          11.1            0.420        0.47           2.65     0.085
##  [842,]           6.6            0.660        0.00           3.00     0.115
##  [843,]          10.6            0.500        0.45           2.60     0.119
##  [844,]           7.1            0.685        0.35           2.00     0.088
##  [845,]           9.9            0.250        0.46           1.70     0.062
##  [846,]           6.4            0.640        0.21           1.80     0.081
##  [847,]           6.4            0.640        0.21           1.80     0.081
##  [848,]           7.4            0.680        0.16           1.80     0.078
##  [849,]           6.4            0.640        0.21           1.80     0.081
##  [850,]           6.4            0.630        0.21           1.60     0.080
##  [851,]           9.3            0.430        0.44           1.90     0.085
##  [852,]           9.3            0.430        0.44           1.90     0.085
##  [853,]           8.0            0.420        0.32           2.50     0.080
##  [854,]           9.3            0.360        0.39           1.50     0.080
##  [855,]           9.3            0.360        0.39           1.50     0.080
##  [856,]           7.6            0.735        0.02           2.50     0.071
##  [857,]           9.3            0.360        0.39           1.50     0.080
##  [858,]           8.2            0.260        0.34           2.50     0.073
##  [859,]          11.7            0.280        0.47           1.70     0.054
##  [860,]           6.8            0.560        0.22           1.80     0.074
##  [861,]           7.2            0.620        0.06           2.70     0.077
##  [862,]           5.8            1.010        0.66           2.00     0.039
##  [863,]           7.5            0.420        0.32           2.70     0.067
##  [864,]           7.2            0.620        0.06           2.50     0.078
##  [865,]           7.2            0.620        0.06           2.70     0.077
##  [866,]           7.2            0.635        0.07           2.60     0.077
##  [867,]           6.8            0.490        0.22           2.30     0.071
##  [868,]           6.9            0.510        0.23           2.00     0.072
##  [869,]           6.8            0.560        0.22           1.80     0.074
##  [870,]           7.6            0.630        0.03           2.00     0.080
##  [871,]           7.7            0.715        0.01           2.10     0.064
##  [872,]           6.9            0.560        0.03           1.50     0.086
##  [873,]           7.3            0.350        0.24           2.00     0.067
##  [874,]           9.1            0.210        0.37           1.60     0.067
##  [875,]          10.4            0.380        0.46           2.10     0.104
##  [876,]           8.8            0.310        0.40           2.80     0.109
##  [877,]           7.1            0.470        0.00           2.20     0.067
##  [878,]           7.7            0.715        0.01           2.10     0.064
##  [879,]           8.8            0.610        0.19           4.00     0.094
##  [880,]           7.2            0.600        0.04           2.50     0.076
##  [881,]           9.2            0.560        0.18           1.60     0.078
##  [882,]           7.6            0.715        0.00           2.10     0.068
##  [883,]           8.4            0.310        0.29           3.10     0.194
##  [884,]           7.2            0.600        0.04           2.50     0.076
##  [885,]           8.8            0.610        0.19           4.00     0.094
##  [886,]           8.9            0.750        0.14           2.50     0.086
##  [887,]           9.0            0.800        0.12           2.40     0.083
##  [888,]          10.7            0.520        0.38           2.60     0.066
##  [889,]           6.8            0.570        0.00           2.50     0.072
##  [890,]          10.7            0.900        0.34           6.60     0.112
##  [891,]           7.2            0.340        0.24           2.00     0.071
##  [892,]           7.2            0.660        0.03           2.30     0.078
##  [893,]          10.1            0.450        0.23           1.90     0.082
##  [894,]           7.2            0.660        0.03           2.30     0.078
##  [895,]           7.2            0.630        0.03           2.20     0.080
##  [896,]           7.1            0.590        0.01           2.30     0.080
##  [897,]           8.3            0.310        0.39           2.40     0.078
##  [898,]           7.1            0.590        0.01           2.30     0.080
##  [899,]           8.3            0.310        0.39           2.40     0.078
##  [900,]           8.3            1.020        0.02           3.40     0.084
##  [901,]           8.9            0.310        0.36           2.60     0.056
##  [902,]           7.4            0.635        0.10           2.40     0.080
##  [903,]           7.4            0.635        0.10           2.40     0.080
##  [904,]           6.8            0.590        0.06           6.00     0.060
##  [905,]           6.8            0.590        0.06           6.00     0.060
##  [906,]           9.2            0.580        0.20           3.00     0.081
##  [907,]           7.2            0.540        0.27           2.60     0.084
##  [908,]           6.1            0.560        0.00           2.20     0.079
##  [909,]           7.4            0.520        0.13           2.40     0.078
##  [910,]           7.3            0.305        0.39           1.20     0.059
##  [911,]           9.3            0.380        0.48           3.80     0.132
##  [912,]           9.1            0.280        0.46           9.00     0.114
##  [913,]          10.0            0.460        0.44           2.90     0.065
##  [914,]           9.4            0.395        0.46           4.60     0.094
##  [915,]           7.3            0.305        0.39           1.20     0.059
##  [916,]           8.6            0.315        0.40           2.20     0.079
##  [917,]           5.3            0.715        0.19           1.50     0.161
##  [918,]           6.8            0.410        0.31           8.80     0.084
##  [919,]           8.4            0.360        0.32           2.20     0.081
##  [920,]           8.4            0.620        0.12           1.80     0.072
##  [921,]           9.6            0.410        0.37           2.30     0.091
##  [922,]           8.4            0.360        0.32           2.20     0.081
##  [923,]           8.4            0.620        0.12           1.80     0.072
##  [924,]           6.8            0.410        0.31           8.80     0.084
##  [925,]           8.6            0.470        0.27           2.30     0.055
##  [926,]           8.6            0.220        0.36           1.90     0.064
##  [927,]           9.4            0.240        0.33           2.30     0.061
##  [928,]           8.4            0.670        0.19           2.20     0.093
##  [929,]           8.6            0.470        0.27           2.30     0.055
##  [930,]           8.7            0.330        0.38           3.30     0.063
##  [931,]           6.6            0.610        0.01           1.90     0.080
##  [932,]           7.4            0.610        0.01           2.00     0.074
##  [933,]           7.6            0.400        0.29           1.90     0.078
##  [934,]           7.4            0.610        0.01           2.00     0.074
##  [935,]           6.6            0.610        0.01           1.90     0.080
##  [936,]           8.8            0.300        0.38           2.30     0.060
##  [937,]           8.8            0.300        0.38           2.30     0.060
##  [938,]          12.0            0.630        0.50           1.40     0.071
##  [939,]           7.2            0.380        0.38           2.80     0.068
##  [940,]           6.2            0.460        0.17           1.60     0.073
##  [941,]           9.6            0.330        0.52           2.20     0.074
##  [942,]           9.9            0.270        0.49           5.00     0.082
##  [943,]          10.1            0.430        0.40           2.60     0.092
##  [944,]           9.8            0.500        0.34           2.30     0.094
##  [945,]           8.3            0.300        0.49           3.80     0.090
##  [946,]          10.2            0.440        0.42           2.00     0.071
##  [947,]          10.2            0.440        0.58           4.10     0.092
##  [948,]           8.3            0.280        0.48           2.10     0.093
##  [949,]           8.9            0.120        0.45           1.80     0.075
##  [950,]           8.9            0.120        0.45           1.80     0.075
##  [951,]           8.9            0.120        0.45           1.80     0.075
##  [952,]           8.3            0.280        0.48           2.10     0.093
##  [953,]           8.2            0.310        0.40           2.20     0.058
##  [954,]          10.2            0.340        0.48           2.10     0.052
##  [955,]           7.6            0.430        0.40           2.70     0.082
##  [956,]           8.5            0.210        0.52           1.90     0.090
##  [957,]           9.0            0.360        0.52           2.10     0.111
##  [958,]           9.5            0.370        0.52           2.00     0.088
##  [959,]           6.4            0.570        0.12           2.30     0.120
##  [960,]           8.0            0.590        0.05           2.00     0.089
##  [961,]           8.5            0.470        0.27           1.90     0.058
##  [962,]           7.1            0.560        0.14           1.60     0.078
##  [963,]           6.6            0.570        0.02           2.10     0.115
##  [964,]           8.8            0.270        0.39           2.00     0.100
##  [965,]           8.5            0.470        0.27           1.90     0.058
##  [966,]           8.3            0.340        0.40           2.40     0.065
##  [967,]           9.0            0.380        0.41           2.40     0.103
##  [968,]           8.5            0.660        0.20           2.10     0.097
##  [969,]           9.0            0.400        0.43           2.40     0.068
##  [970,]           6.7            0.560        0.09           2.90     0.079
##  [971,]          10.4            0.260        0.48           1.90     0.066
##  [972,]          10.4            0.260        0.48           1.90     0.066
##  [973,]          10.1            0.380        0.50           2.40     0.104
##  [974,]           8.5            0.340        0.44           1.70     0.079
##  [975,]           8.8            0.330        0.41           5.90     0.073
##  [976,]           7.2            0.410        0.30           2.10     0.083
##  [977,]           7.2            0.410        0.30           2.10     0.083
##  [978,]           8.4            0.590        0.29           2.60     0.109
##  [979,]           7.0            0.400        0.32           3.60     0.061
##  [980,]          12.2            0.450        0.49           1.40     0.075
##  [981,]           9.1            0.500        0.30           1.90     0.065
##  [982,]           9.5            0.860        0.26           1.90     0.079
##  [983,]           7.3            0.520        0.32           2.10     0.070
##  [984,]           9.1            0.500        0.30           1.90     0.065
##  [985,]          12.2            0.450        0.49           1.40     0.075
##  [986,]           7.4            0.580        0.00           2.00     0.064
##  [987,]           9.8            0.340        0.39           1.40     0.066
##  [988,]           7.1            0.360        0.30           1.60     0.080
##  [989,]           7.7            0.390        0.12           1.70     0.097
##  [990,]           9.7            0.295        0.40           1.50     0.073
##  [991,]           7.7            0.390        0.12           1.70     0.097
##  [992,]           7.1            0.340        0.28           2.00     0.082
##  [993,]           6.5            0.400        0.10           2.00     0.076
##  [994,]           7.1            0.340        0.28           2.00     0.082
##  [995,]          10.0            0.350        0.45           2.50     0.092
##  [996,]           7.7            0.600        0.06           2.00     0.079
##  [997,]           5.6            0.660        0.00           2.20     0.087
##  [998,]           5.6            0.660        0.00           2.20     0.087
##  [999,]           8.9            0.840        0.34           1.40     0.050
## [1000,]           6.4            0.690        0.00           1.65     0.055
## [1001,]           7.5            0.430        0.30           2.20     0.062
## [1002,]           9.9            0.350        0.38           1.50     0.058
## [1003,]           9.1            0.290        0.33           2.05     0.063
## [1004,]           6.8            0.360        0.32           1.80     0.067
## [1005,]           8.2            0.430        0.29           1.60     0.081
## [1006,]           6.8            0.360        0.32           1.80     0.067
## [1007,]           9.1            0.290        0.33           2.05     0.063
## [1008,]           9.1            0.300        0.34           2.00     0.064
## [1009,]           8.9            0.350        0.40           3.60     0.110
## [1010,]           9.6            0.500        0.36           2.80     0.116
## [1011,]           8.9            0.280        0.45           1.70     0.067
## [1012,]           8.9            0.320        0.31           2.00     0.088
## [1013,]           7.7            1.005        0.15           2.10     0.102
## [1014,]           7.5            0.710        0.00           1.60     0.092
## [1015,]           8.0            0.580        0.16           2.00     0.120
## [1016,]          10.5            0.390        0.46           2.20     0.075
## [1017,]           8.9            0.380        0.40           2.20     0.068
## [1018,]           8.0            0.180        0.37           0.90     0.049
## [1019,]           8.0            0.180        0.37           0.90     0.049
## [1020,]           7.0            0.500        0.14           1.80     0.078
## [1021,]          11.3            0.360        0.66           2.40     0.123
## [1022,]          11.3            0.360        0.66           2.40     0.123
## [1023,]           7.0            0.510        0.09           2.10     0.062
## [1024,]           8.2            0.320        0.42           2.30     0.098
## [1025,]           7.7            0.580        0.01           1.80     0.088
## [1026,]           8.6            0.830        0.00           2.80     0.095
## [1027,]           7.9            0.310        0.32           1.90     0.066
## [1028,]           6.4            0.795        0.00           2.20     0.065
## [1029,]           7.2            0.340        0.21           2.50     0.075
## [1030,]           7.7            0.580        0.01           1.80     0.088
## [1031,]           7.1            0.590        0.00           2.10     0.091
## [1032,]           7.3            0.550        0.01           1.80     0.093
## [1033,]           8.1            0.820        0.00           4.10     0.095
## [1034,]           7.5            0.570        0.08           2.60     0.089
## [1035,]           8.9            0.745        0.18           2.50     0.077
## [1036,]          10.1            0.370        0.34           2.40     0.085
## [1037,]           7.6            0.310        0.34           2.50     0.082
## [1038,]           7.3            0.910        0.10           1.80     0.074
## [1039,]           8.7            0.410        0.41           6.20     0.078
## [1040,]           8.9            0.500        0.21           2.20     0.088
## [1041,]           7.4            0.965        0.00           2.20     0.088
## [1042,]           6.9            0.490        0.19           1.70     0.079
## [1043,]           8.9            0.500        0.21           2.20     0.088
## [1044,]           9.5            0.390        0.41           8.90     0.069
## [1045,]           6.4            0.390        0.33           3.30     0.046
## [1046,]           6.9            0.440        0.00           1.40     0.070
## [1047,]           7.6            0.780        0.00           1.70     0.076
## [1048,]           7.1            0.430        0.17           1.80     0.082
## [1049,]           9.3            0.490        0.36           1.70     0.081
## [1050,]           9.3            0.500        0.36           1.80     0.084
## [1051,]           7.1            0.430        0.17           1.80     0.082
## [1052,]           8.5            0.460        0.59           1.40     0.414
## [1053,]           5.6            0.605        0.05           2.40     0.073
## [1054,]           8.3            0.330        0.42           2.30     0.070
## [1055,]           8.2            0.640        0.27           2.00     0.095
## [1056,]           8.2            0.640        0.27           2.00     0.095
## [1057,]           8.9            0.480        0.53           4.00     0.101
## [1058,]           7.6            0.420        0.25           3.90     0.104
## [1059,]           9.9            0.530        0.57           2.40     0.093
## [1060,]           8.9            0.480        0.53           4.00     0.101
## [1061,]          11.6            0.230        0.57           1.80     0.074
## [1062,]           9.1            0.400        0.50           1.80     0.071
## [1063,]           8.0            0.380        0.44           1.90     0.098
## [1064,]          10.2            0.290        0.65           2.40     0.075
## [1065,]           8.2            0.740        0.09           2.00     0.067
## [1066,]           7.7            0.610        0.18           2.40     0.083
## [1067,]           6.6            0.520        0.08           2.40     0.070
## [1068,]          11.1            0.310        0.53           2.20     0.060
## [1069,]          11.1            0.310        0.53           2.20     0.060
## [1070,]           8.0            0.620        0.35           2.80     0.086
## [1071,]           9.3            0.330        0.45           1.50     0.057
## [1072,]           7.5            0.770        0.20           8.10     0.098
## [1073,]           7.2            0.350        0.26           1.80     0.083
## [1074,]           8.0            0.620        0.33           2.70     0.088
## [1075,]           7.5            0.770        0.20           8.10     0.098
## [1076,]           9.1            0.250        0.34           2.00     0.071
## [1077,]           9.9            0.320        0.56           2.00     0.073
## [1078,]           8.6            0.370        0.65           6.40     0.080
## [1079,]           8.6            0.370        0.65           6.40     0.080
## [1080,]           7.9            0.300        0.68           8.30     0.050
## [1081,]          10.3            0.270        0.56           1.40     0.047
## [1082,]           7.9            0.300        0.68           8.30     0.050
## [1083,]           7.2            0.380        0.30           1.80     0.073
## [1084,]           8.7            0.420        0.45           2.40     0.072
## [1085,]           7.2            0.380        0.30           1.80     0.073
## [1086,]           6.8            0.480        0.08           1.80     0.074
## [1087,]           8.5            0.340        0.40           4.70     0.055
## [1088,]           7.9            0.190        0.42           1.60     0.057
## [1089,]          11.6            0.410        0.54           1.50     0.095
## [1090,]          11.6            0.410        0.54           1.50     0.095
## [1091,]          10.0            0.260        0.54           1.90     0.083
## [1092,]           7.9            0.340        0.42           2.00     0.086
## [1093,]           7.0            0.540        0.09           2.00     0.081
## [1094,]           9.2            0.310        0.36           2.20     0.079
## [1095,]           6.6            0.725        0.09           5.50     0.117
## [1096,]           9.4            0.400        0.47           2.50     0.087
## [1097,]           6.6            0.725        0.09           5.50     0.117
## [1098,]           8.6            0.520        0.38           1.50     0.096
## [1099,]           8.0            0.310        0.45           2.10     0.216
## [1100,]           8.6            0.520        0.38           1.50     0.096
## [1101,]           8.4            0.340        0.42           2.10     0.072
## [1102,]           7.4            0.490        0.27           2.10     0.071
## [1103,]           6.1            0.480        0.09           1.70     0.078
## [1104,]           7.4            0.490        0.27           2.10     0.071
## [1105,]           8.0            0.480        0.34           2.20     0.073
## [1106,]           6.3            0.570        0.28           2.10     0.048
## [1107,]           8.2            0.230        0.42           1.90     0.069
## [1108,]           9.1            0.300        0.41           2.00     0.068
## [1109,]           8.1            0.780        0.10           3.30     0.090
## [1110,]          10.8            0.470        0.43           2.10     0.171
## [1111,]           8.3            0.530        0.00           1.40     0.070
## [1112,]           5.4            0.420        0.27           2.00     0.092
## [1113,]           7.9            0.330        0.41           1.50     0.056
## [1114,]           8.9            0.240        0.39           1.60     0.074
## [1115,]           5.0            0.400        0.50           4.30     0.046
## [1116,]           7.0            0.690        0.07           2.50     0.091
## [1117,]           7.0            0.690        0.07           2.50     0.091
## [1118,]           7.0            0.690        0.07           2.50     0.091
## [1119,]           7.1            0.390        0.12           2.10     0.065
## [1120,]           5.6            0.660        0.00           2.50     0.066
## [1121,]           7.9            0.540        0.34           2.50     0.076
## [1122,]           6.6            0.500        0.00           1.80     0.062
## [1123,]           6.3            0.470        0.00           1.40     0.055
## [1124,]          10.7            0.400        0.37           1.90     0.081
## [1125,]           6.5            0.580        0.00           2.20     0.096
## [1126,]           8.8            0.240        0.35           1.70     0.055
## [1127,]           5.8            0.290        0.26           1.70     0.063
## [1128,]           6.3            0.760        0.00           2.90     0.072
## [1129,]          10.0            0.430        0.33           2.70     0.095
## [1130,]          10.5            0.430        0.35           3.30     0.092
## [1131,]           9.1            0.600        0.00           1.90     0.058
## [1132,]           5.9            0.190        0.21           1.70     0.045
## [1133,]           7.4            0.360        0.34           1.80     0.075
## [1134,]           7.2            0.480        0.07           5.50     0.089
## [1135,]           8.5            0.280        0.35           1.70     0.061
## [1136,]           8.0            0.250        0.43           1.70     0.067
## [1137,]          10.4            0.520        0.45           2.00     0.080
## [1138,]          10.4            0.520        0.45           2.00     0.080
## [1139,]           7.5            0.410        0.15           3.70     0.104
## [1140,]           8.2            0.510        0.24           2.00     0.079
## [1141,]           7.3            0.400        0.30           1.70     0.080
## [1142,]           8.2            0.380        0.32           2.50     0.080
## [1143,]           6.9            0.450        0.11           2.40     0.043
## [1144,]           7.0            0.220        0.30           1.80     0.065
## [1145,]           7.3            0.320        0.23           2.30     0.066
## [1146,]           8.2            0.200        0.43           2.50     0.076
## [1147,]           7.8            0.500        0.12           1.80     0.178
## [1148,]          10.0            0.410        0.45           6.20     0.071
## [1149,]           7.8            0.390        0.42           2.00     0.086
## [1150,]          10.0            0.350        0.47           2.00     0.061
## [1151,]           8.2            0.330        0.32           2.80     0.067
## [1152,]           6.1            0.580        0.23           2.50     0.044
## [1153,]           8.3            0.600        0.25           2.20     0.118
## [1154,]           9.6            0.420        0.35           2.10     0.083
## [1155,]           6.6            0.580        0.00           2.20     0.100
## [1156,]           8.3            0.600        0.25           2.20     0.118
## [1157,]           8.5            0.180        0.51           1.75     0.071
## [1158,]           5.1            0.510        0.18           2.10     0.042
## [1159,]           6.7            0.410        0.43           2.80     0.076
## [1160,]          10.2            0.410        0.43           2.20     0.110
## [1161,]          10.6            0.360        0.57           2.30     0.087
## [1162,]           8.8            0.450        0.43           1.40     0.076
## [1163,]           8.5            0.320        0.42           2.30     0.075
## [1164,]           9.0            0.785        0.24           1.70     0.078
## [1165,]           9.0            0.785        0.24           1.70     0.078
## [1166,]           8.5            0.440        0.50           1.90     0.369
## [1167,]           9.9            0.540        0.26           2.00     0.111
## [1168,]           8.2            0.330        0.39           2.50     0.074
## [1169,]           6.5            0.340        0.27           2.80     0.067
## [1170,]           7.6            0.500        0.29           2.30     0.086
## [1171,]           9.2            0.360        0.34           1.60     0.062
## [1172,]           7.1            0.590        0.00           2.20     0.078
## [1173,]           9.7            0.420        0.46           2.10     0.074
## [1174,]           7.6            0.360        0.31           1.70     0.079
## [1175,]           7.6            0.360        0.31           1.70     0.079
## [1176,]           6.5            0.610        0.00           2.20     0.095
## [1177,]           6.5            0.880        0.03           5.60     0.079
## [1178,]           7.1            0.660        0.00           2.40     0.052
## [1179,]           5.6            0.915        0.00           2.10     0.041
## [1180,]           8.2            0.350        0.33           2.40     0.076
## [1181,]           8.2            0.350        0.33           2.40     0.076
## [1182,]           9.8            0.390        0.43           1.65     0.068
## [1183,]          10.2            0.400        0.40           2.50     0.068
## [1184,]           6.8            0.660        0.07           1.60     0.070
## [1185,]           6.7            0.640        0.23           2.10     0.080
## [1186,]           7.0            0.430        0.30           2.00     0.085
## [1187,]           6.6            0.800        0.03           7.80     0.079
## [1188,]           7.0            0.430        0.30           2.00     0.085
## [1189,]           6.7            0.640        0.23           2.10     0.080
## [1190,]           8.8            0.955        0.05           1.80     0.075
## [1191,]           9.1            0.400        0.57           4.60     0.080
## [1192,]           6.5            0.885        0.00           2.30     0.166
## [1193,]           7.2            0.250        0.37           2.50     0.063
## [1194,]           6.4            0.885        0.00           2.30     0.166
## [1195,]           7.0            0.745        0.12           1.80     0.114
## [1196,]           6.2            0.430        0.22           1.80     0.078
## [1197,]           7.9            0.580        0.23           2.30     0.076
## [1198,]           7.7            0.570        0.21           1.50     0.069
## [1199,]           7.7            0.260        0.26           2.00     0.052
## [1200,]           7.9            0.580        0.23           2.30     0.076
## [1201,]           7.7            0.570        0.21           1.50     0.069
## [1202,]           7.9            0.340        0.36           1.90     0.065
## [1203,]           8.6            0.420        0.39           1.80     0.068
## [1204,]           9.9            0.740        0.19           5.80     0.111
## [1205,]           7.2            0.360        0.46           2.10     0.074
## [1206,]           7.2            0.360        0.46           2.10     0.074
## [1207,]           7.2            0.360        0.46           2.10     0.074
## [1208,]           9.9            0.720        0.55           1.70     0.136
## [1209,]           7.2            0.360        0.46           2.10     0.074
## [1210,]           6.2            0.390        0.43           2.00     0.071
## [1211,]           6.8            0.650        0.02           2.10     0.078
## [1212,]           6.6            0.440        0.15           2.10     0.076
## [1213,]           6.8            0.650        0.02           2.10     0.078
## [1214,]           9.6            0.380        0.42           1.90     0.071
## [1215,]          10.2            0.330        0.46           1.90     0.081
## [1216,]           8.8            0.270        0.46           2.10     0.095
## [1217,]           7.9            0.570        0.31           2.00     0.079
## [1218,]           8.2            0.340        0.37           1.90     0.057
## [1219,]           8.2            0.400        0.31           1.90     0.082
## [1220,]           9.0            0.390        0.40           1.30     0.044
## [1221,]          10.9            0.320        0.52           1.80     0.132
## [1222,]          10.9            0.320        0.52           1.80     0.132
## [1223,]           8.1            0.530        0.22           2.20     0.078
## [1224,]          10.5            0.360        0.47           2.20     0.074
## [1225,]          12.6            0.390        0.49           2.50     0.080
## [1226,]           9.2            0.460        0.23           2.60     0.091
## [1227,]           7.5            0.580        0.03           4.10     0.080
## [1228,]           9.0            0.580        0.25           2.00     0.104
## [1229,]           5.1            0.420        0.00           1.80     0.044
## [1230,]           7.6            0.430        0.29           2.10     0.075
## [1231,]           7.7            0.180        0.34           2.70     0.066
## [1232,]           7.8            0.815        0.01           2.60     0.074
## [1233,]           7.6            0.430        0.29           2.10     0.075
## [1234,]          10.2            0.230        0.37           2.20     0.057
## [1235,]           7.1            0.750        0.01           2.20     0.059
## [1236,]           6.0            0.330        0.32          12.90     0.054
## [1237,]           7.8            0.550        0.00           1.70     0.070
## [1238,]           7.1            0.750        0.01           2.20     0.059
## [1239,]           8.1            0.730        0.00           2.50     0.081
## [1240,]           6.5            0.670        0.00           4.30     0.057
## [1241,]           7.5            0.610        0.20           1.70     0.076
## [1242,]           9.8            0.370        0.39           2.50     0.079
## [1243,]           9.0            0.400        0.41           2.00     0.058
## [1244,]           8.3            0.560        0.22           2.40     0.082
## [1245,]           5.9            0.290        0.25          13.40     0.067
## [1246,]           7.4            0.550        0.19           1.80     0.082
## [1247,]           7.4            0.740        0.07           1.70     0.086
## [1248,]           7.4            0.550        0.19           1.80     0.082
## [1249,]           6.9            0.410        0.33           2.20     0.081
## [1250,]           7.1            0.600        0.01           2.30     0.079
## [1251,]           7.1            0.600        0.01           2.30     0.079
## [1252,]           7.5            0.580        0.14           2.20     0.077
## [1253,]           7.1            0.720        0.00           1.80     0.123
## [1254,]           7.9            0.660        0.00           1.40     0.096
## [1255,]           7.8            0.700        0.06           1.90     0.079
## [1256,]           6.1            0.640        0.02           2.40     0.069
## [1257,]           7.5            0.590        0.22           1.80     0.082
## [1258,]           7.0            0.580        0.28           4.80     0.085
## [1259,]           6.8            0.640        0.00           2.70     0.123
## [1260,]           6.8            0.640        0.00           2.70     0.123
## [1261,]           8.6            0.635        0.68           1.80     0.403
## [1262,]           6.3            1.020        0.00           2.00     0.083
## [1263,]           9.8            0.450        0.38           2.50     0.081
## [1264,]           8.2            0.780        0.00           2.20     0.089
## [1265,]           8.5            0.370        0.32           1.80     0.066
## [1266,]           7.2            0.570        0.05           2.30     0.081
## [1267,]           7.2            0.570        0.05           2.30     0.081
## [1268,]          10.4            0.430        0.50           2.30     0.068
## [1269,]           6.9            0.410        0.31           2.00     0.079
## [1270,]           5.5            0.490        0.03           1.80     0.044
## [1271,]           5.0            0.380        0.01           1.60     0.048
## [1272,]           7.3            0.440        0.20           1.60     0.049
## [1273,]           5.9            0.460        0.00           1.90     0.077
## [1274,]           7.5            0.580        0.20           2.00     0.073
## [1275,]           7.8            0.580        0.13           2.10     0.102
## [1276,]           8.0            0.715        0.22           2.30     0.075
## [1277,]           8.5            0.400        0.40           6.30     0.050
## [1278,]           7.0            0.690        0.00           1.90     0.114
## [1279,]           8.0            0.715        0.22           2.30     0.075
## [1280,]           9.8            0.300        0.39           1.70     0.062
## [1281,]           7.1            0.460        0.20           1.90     0.077
## [1282,]           7.1            0.460        0.20           1.90     0.077
## [1283,]           7.9            0.765        0.00           2.00     0.084
## [1284,]           8.7            0.630        0.28           2.70     0.096
## [1285,]           7.0            0.420        0.19           2.30     0.071
## [1286,]          11.3            0.370        0.50           1.80     0.090
## [1287,]           7.1            0.160        0.44           2.50     0.068
## [1288,]           8.0            0.600        0.08           2.60     0.056
## [1289,]           7.0            0.600        0.30           4.50     0.068
## [1290,]           7.0            0.600        0.30           4.50     0.068
## [1291,]           7.6            0.740        0.00           1.90     0.100
## [1292,]           8.2            0.635        0.10           2.10     0.073
## [1293,]           5.9            0.395        0.13           2.40     0.056
## [1294,]           7.5            0.755        0.00           1.90     0.084
## [1295,]           8.2            0.635        0.10           2.10     0.073
## [1296,]           6.6            0.630        0.00           4.30     0.093
## [1297,]           6.6            0.630        0.00           4.30     0.093
## [1298,]           7.2            0.530        0.14           2.10     0.064
## [1299,]           5.7            0.600        0.00           1.40     0.063
## [1300,]           7.6            1.580        0.00           2.10     0.137
## [1301,]           5.2            0.645        0.00           2.15     0.080
## [1302,]           6.7            0.860        0.07           2.00     0.100
## [1303,]           9.1            0.370        0.32           2.10     0.064
## [1304,]           8.0            0.280        0.44           1.80     0.081
## [1305,]           7.6            0.790        0.21           2.30     0.087
## [1306,]           7.5            0.610        0.26           1.90     0.073
## [1307,]           9.7            0.690        0.32           2.50     0.088
## [1308,]           6.8            0.680        0.09           3.90     0.068
## [1309,]           9.7            0.690        0.32           2.50     0.088
## [1310,]           7.0            0.620        0.10           1.40     0.071
## [1311,]           7.5            0.610        0.26           1.90     0.073
## [1312,]           6.5            0.510        0.15           3.00     0.064
## [1313,]           8.0            1.180        0.21           1.90     0.083
## [1314,]           7.0            0.360        0.21           2.30     0.086
## [1315,]           7.0            0.360        0.21           2.40     0.086
## [1316,]           7.5            0.630        0.27           2.00     0.083
## [1317,]           5.4            0.740        0.00           1.20     0.041
## [1318,]           9.9            0.440        0.46           2.20     0.091
## [1319,]           7.5            0.630        0.27           2.00     0.083
## [1320,]           9.1            0.760        0.68           1.70     0.414
## [1321,]           9.7            0.660        0.34           2.60     0.094
## [1322,]           5.0            0.740        0.00           1.20     0.041
## [1323,]           9.1            0.340        0.42           1.80     0.058
## [1324,]           9.1            0.360        0.39           1.80     0.060
## [1325,]           6.7            0.460        0.24           1.70     0.077
## [1326,]           6.7            0.460        0.24           1.70     0.077
## [1327,]           6.7            0.460        0.24           1.70     0.077
## [1328,]           6.7            0.460        0.24           1.70     0.077
## [1329,]           6.5            0.520        0.11           1.80     0.073
## [1330,]           7.4            0.600        0.26           2.10     0.083
## [1331,]           7.4            0.600        0.26           2.10     0.083
## [1332,]           7.8            0.870        0.26           3.80     0.107
## [1333,]           8.4            0.390        0.10           1.70     0.075
## [1334,]           9.1            0.775        0.22           2.20     0.079
## [1335,]           7.2            0.835        0.00           2.00     0.166
## [1336,]           6.6            0.580        0.02           2.40     0.069
## [1337,]           6.0            0.500        0.00           1.40     0.057
## [1338,]           6.0            0.500        0.00           1.40     0.057
## [1339,]           6.0            0.500        0.00           1.40     0.057
## [1340,]           7.5            0.510        0.02           1.70     0.084
## [1341,]           7.5            0.510        0.02           1.70     0.084
## [1342,]           7.5            0.510        0.02           1.70     0.084
## [1343,]           7.6            0.540        0.02           1.70     0.085
## [1344,]           7.5            0.510        0.02           1.70     0.084
## [1345,]          11.5            0.420        0.48           2.60     0.077
## [1346,]           8.2            0.440        0.24           2.30     0.063
## [1347,]           6.1            0.590        0.01           2.10     0.056
## [1348,]           7.2            0.655        0.03           1.80     0.078
## [1349,]           7.2            0.655        0.03           1.80     0.078
## [1350,]           6.9            0.570        0.00           2.80     0.081
## [1351,]           9.0            0.600        0.29           2.00     0.069
## [1352,]           7.2            0.620        0.01           2.30     0.065
## [1353,]           7.6            0.645        0.03           1.90     0.086
## [1354,]           7.6            0.645        0.03           1.90     0.086
## [1355,]           7.2            0.580        0.03           2.30     0.077
## [1356,]           6.1            0.320        0.25           1.80     0.086
## [1357,]           6.1            0.340        0.25           1.80     0.084
## [1358,]           7.3            0.430        0.24           2.50     0.078
## [1359,]           7.4            0.640        0.17           5.40     0.168
## [1360,]          11.6            0.475        0.40           1.40     0.091
## [1361,]           9.2            0.540        0.31           2.30     0.112
## [1362,]           8.3            0.850        0.14           2.50     0.093
## [1363,]          11.6            0.475        0.40           1.40     0.091
## [1364,]           8.0            0.830        0.27           2.00     0.080
## [1365,]           7.2            0.605        0.02           1.90     0.096
## [1366,]           7.8            0.500        0.09           2.20     0.115
## [1367,]           7.3            0.740        0.08           1.70     0.094
## [1368,]           6.9            0.540        0.30           2.20     0.088
## [1369,]           8.0            0.770        0.32           2.10     0.079
## [1370,]           6.6            0.610        0.00           1.60     0.069
## [1371,]           8.7            0.780        0.51           1.70     0.415
## [1372,]           7.5            0.580        0.56           3.10     0.153
## [1373,]           8.7            0.780        0.51           1.70     0.415
## [1374,]           7.7            0.750        0.27           3.80     0.110
## [1375,]           6.8            0.815        0.00           1.20     0.267
## [1376,]           7.2            0.560        0.26           2.00     0.083
## [1377,]           8.2            0.885        0.20           1.40     0.086
## [1378,]           5.2            0.490        0.26           2.30     0.090
## [1379,]           7.2            0.450        0.15           2.00     0.078
## [1380,]           7.5            0.570        0.02           2.60     0.077
## [1381,]           7.5            0.570        0.02           2.60     0.077
## [1382,]           6.8            0.830        0.09           1.80     0.074
## [1383,]           8.0            0.600        0.22           2.10     0.080
## [1384,]           8.0            0.600        0.22           2.10     0.080
## [1385,]           7.1            0.755        0.15           1.80     0.107
## [1386,]           8.0            0.810        0.25           3.40     0.076
## [1387,]           7.4            0.640        0.07           1.80     0.100
## [1388,]           7.4            0.640        0.07           1.80     0.100
## [1389,]           6.6            0.640        0.31           6.10     0.083
## [1390,]           6.7            0.480        0.02           2.20     0.080
## [1391,]           6.0            0.490        0.00           2.30     0.068
## [1392,]           8.0            0.640        0.22           2.40     0.094
## [1393,]           7.1            0.620        0.06           1.30     0.070
## [1394,]           8.0            0.520        0.25           2.00     0.078
## [1395,]           6.4            0.570        0.14           3.90     0.070
## [1396,]           8.6            0.685        0.10           1.60     0.092
## [1397,]           8.7            0.675        0.10           1.60     0.090
## [1398,]           7.3            0.590        0.26           2.00     0.080
## [1399,]           7.0            0.600        0.12           2.20     0.083
## [1400,]           7.2            0.670        0.00           2.20     0.068
## [1401,]           7.9            0.690        0.21           2.10     0.080
## [1402,]           7.9            0.690        0.21           2.10     0.080
## [1403,]           7.6            0.300        0.42           2.00     0.052
## [1404,]           7.2            0.330        0.33           1.70     0.061
## [1405,]           8.0            0.500        0.39           2.60     0.082
## [1406,]           7.7            0.280        0.30           2.00     0.062
## [1407,]           8.2            0.240        0.34           5.10     0.062
## [1408,]           6.0            0.510        0.00           2.10     0.064
## [1409,]           8.1            0.290        0.36           2.20     0.048
## [1410,]           6.0            0.510        0.00           2.10     0.064
## [1411,]           6.6            0.960        0.00           1.80     0.082
## [1412,]           6.4            0.470        0.40           2.40     0.071
## [1413,]           8.2            0.240        0.34           5.10     0.062
## [1414,]           9.9            0.570        0.25           2.00     0.104
## [1415,]          10.0            0.320        0.59           2.20     0.077
## [1416,]           6.2            0.580        0.00           1.60     0.065
## [1417,]          10.0            0.320        0.59           2.20     0.077
## [1418,]           7.3            0.340        0.33           2.50     0.064
## [1419,]           7.8            0.530        0.01           1.60     0.077
## [1420,]           7.7            0.640        0.21           2.20     0.077
## [1421,]           7.8            0.530        0.01           1.60     0.077
## [1422,]           7.5            0.400        0.18           1.60     0.079
## [1423,]           7.0            0.540        0.00           2.10     0.079
## [1424,]           6.4            0.530        0.09           3.90     0.123
## [1425,]           8.3            0.260        0.37           1.40     0.076
## [1426,]           8.3            0.260        0.37           1.40     0.076
## [1427,]           7.7            0.230        0.37           1.80     0.046
## [1428,]           7.6            0.410        0.33           2.50     0.078
## [1429,]           7.8            0.640        0.00           1.90     0.072
## [1430,]           7.9            0.180        0.40           2.20     0.049
## [1431,]           7.4            0.410        0.24           1.80     0.066
## [1432,]           7.6            0.430        0.31           2.10     0.069
## [1433,]           5.9            0.440        0.00           1.60     0.042
## [1434,]           6.1            0.400        0.16           1.80     0.069
## [1435,]          10.2            0.540        0.37          15.40     0.214
## [1436,]          10.2            0.540        0.37          15.40     0.214
## [1437,]          10.0            0.380        0.38           1.60     0.169
## [1438,]           6.8            0.915        0.29           4.80     0.070
## [1439,]           7.0            0.590        0.00           1.70     0.052
## [1440,]           7.3            0.670        0.02           2.20     0.072
## [1441,]           7.2            0.370        0.32           2.00     0.062
## [1442,]           7.4            0.785        0.19           5.20     0.094
## [1443,]           6.9            0.630        0.02           1.90     0.078
## [1444,]           6.9            0.580        0.20           1.75     0.058
## [1445,]           7.3            0.670        0.02           2.20     0.072
## [1446,]           7.4            0.785        0.19           5.20     0.094
## [1447,]           6.9            0.630        0.02           1.90     0.078
## [1448,]           6.8            0.670        0.00           1.90     0.080
## [1449,]           6.9            0.580        0.01           1.90     0.080
## [1450,]           7.2            0.380        0.31           2.00     0.056
## [1451,]           7.2            0.370        0.32           2.00     0.062
## [1452,]           7.8            0.320        0.44           2.70     0.104
## [1453,]           6.6            0.580        0.02           2.00     0.062
## [1454,]           7.6            0.490        0.33           1.90     0.074
## [1455,]          11.7            0.450        0.63           2.20     0.073
## [1456,]           6.5            0.900        0.00           1.60     0.052
## [1457,]           6.0            0.540        0.06           1.80     0.050
## [1458,]           7.6            0.490        0.33           1.90     0.074
## [1459,]           8.4            0.290        0.40           1.70     0.067
## [1460,]           7.9            0.200        0.35           1.70     0.054
## [1461,]           6.4            0.420        0.09           2.30     0.054
## [1462,]           6.2            0.785        0.00           2.10     0.060
## [1463,]           6.8            0.640        0.03           2.30     0.075
## [1464,]           6.9            0.630        0.01           2.40     0.076
## [1465,]           6.8            0.590        0.10           1.70     0.063
## [1466,]           6.8            0.590        0.10           1.70     0.063
## [1467,]           7.3            0.480        0.32           2.10     0.062
## [1468,]           6.7            1.040        0.08           2.30     0.067
## [1469,]           7.3            0.480        0.32           2.10     0.062
## [1470,]           7.3            0.980        0.05           2.10     0.061
## [1471,]          10.0            0.690        0.11           1.40     0.084
## [1472,]           6.7            0.700        0.08           3.75     0.067
## [1473,]           7.6            0.350        0.60           2.60     0.073
## [1474,]           6.1            0.600        0.08           1.80     0.071
## [1475,]           9.9            0.500        0.50          13.80     0.205
## [1476,]           5.3            0.470        0.11           2.20     0.048
## [1477,]           9.9            0.500        0.50          13.80     0.205
## [1478,]           5.3            0.470        0.11           2.20     0.048
## [1479,]           7.1            0.875        0.05           5.70     0.082
## [1480,]           8.2            0.280        0.60           3.00     0.104
## [1481,]           5.6            0.620        0.03           1.50     0.080
## [1482,]           8.2            0.280        0.60           3.00     0.104
## [1483,]           7.2            0.580        0.54           2.10     0.114
## [1484,]           8.1            0.330        0.44           1.50     0.042
## [1485,]           6.8            0.910        0.06           2.00     0.060
## [1486,]           7.0            0.655        0.16           2.10     0.074
## [1487,]           6.8            0.680        0.21           2.10     0.070
## [1488,]           6.0            0.640        0.05           1.90     0.066
## [1489,]           5.6            0.540        0.04           1.70     0.049
## [1490,]           6.2            0.570        0.10           2.10     0.048
## [1491,]           7.1            0.220        0.49           1.80     0.039
## [1492,]           5.6            0.540        0.04           1.70     0.049
## [1493,]           6.2            0.650        0.06           1.60     0.050
## [1494,]           7.7            0.540        0.26           1.90     0.089
## [1495,]           6.4            0.310        0.09           1.40     0.066
## [1496,]           7.0            0.430        0.02           1.90     0.080
## [1497,]           7.7            0.540        0.26           1.90     0.089
## [1498,]           6.9            0.740        0.03           2.30     0.054
## [1499,]           6.6            0.895        0.04           2.30     0.068
## [1500,]           6.9            0.740        0.03           2.30     0.054
## [1501,]           7.5            0.725        0.04           1.50     0.076
## [1502,]           7.8            0.820        0.29           4.30     0.083
## [1503,]           7.3            0.585        0.18           2.40     0.078
## [1504,]           6.2            0.440        0.39           2.50     0.077
## [1505,]           7.5            0.380        0.57           2.30     0.106
## [1506,]           6.7            0.760        0.02           1.80     0.078
## [1507,]           6.8            0.810        0.05           2.00     0.070
## [1508,]           7.5            0.380        0.57           2.30     0.106
## [1509,]           7.1            0.270        0.60           2.10     0.074
## [1510,]           7.9            0.180        0.40           1.80     0.062
## [1511,]           6.4            0.360        0.21           2.20     0.047
## [1512,]           7.1            0.690        0.04           2.10     0.068
## [1513,]           6.4            0.790        0.04           2.20     0.061
## [1514,]           6.4            0.560        0.15           1.80     0.078
## [1515,]           6.9            0.840        0.21           4.10     0.074
## [1516,]           6.9            0.840        0.21           4.10     0.074
## [1517,]           6.1            0.320        0.25           2.30     0.071
## [1518,]           6.5            0.530        0.06           2.00     0.063
## [1519,]           7.4            0.470        0.46           2.20     0.114
## [1520,]           6.6            0.700        0.08           2.60     0.106
## [1521,]           6.5            0.530        0.06           2.00     0.063
## [1522,]           6.9            0.480        0.20           1.90     0.082
## [1523,]           6.1            0.320        0.25           2.30     0.071
## [1524,]           6.8            0.480        0.25           2.00     0.076
## [1525,]           6.0            0.420        0.19           2.00     0.075
## [1526,]           6.7            0.480        0.08           2.10     0.064
## [1527,]           6.8            0.470        0.08           2.20     0.064
## [1528,]           7.1            0.530        0.07           1.70     0.071
## [1529,]           7.9            0.290        0.49           2.20     0.096
## [1530,]           7.1            0.690        0.08           2.10     0.063
## [1531,]           6.6            0.440        0.09           2.20     0.063
## [1532,]           6.1            0.705        0.10           2.80     0.081
## [1533,]           7.2            0.530        0.13           2.00     0.058
## [1534,]           8.0            0.390        0.30           1.90     0.074
## [1535,]           6.6            0.560        0.14           2.40     0.064
## [1536,]           7.0            0.550        0.13           2.20     0.075
## [1537,]           6.1            0.530        0.08           1.90     0.077
## [1538,]           5.4            0.580        0.08           1.90     0.059
## [1539,]           6.2            0.640        0.09           2.50     0.081
## [1540,]           7.2            0.390        0.32           1.80     0.065
## [1541,]           6.2            0.520        0.08           4.40     0.071
## [1542,]           7.4            0.250        0.29           2.20     0.054
## [1543,]           6.7            0.855        0.02           1.90     0.064
## [1544,]          11.1            0.440        0.42           2.20     0.064
## [1545,]           8.4            0.370        0.43           2.30     0.063
## [1546,]           6.5            0.630        0.33           1.80     0.059
## [1547,]           7.0            0.570        0.02           2.00     0.072
## [1548,]           6.3            0.600        0.10           1.60     0.048
## [1549,]          11.2            0.400        0.50           2.00     0.099
## [1550,]           7.4            0.360        0.30           1.80     0.074
## [1551,]           7.1            0.680        0.00           2.30     0.087
## [1552,]           7.1            0.670        0.00           2.30     0.083
## [1553,]           6.3            0.680        0.01           3.70     0.103
## [1554,]           7.3            0.735        0.00           2.20     0.080
## [1555,]           6.6            0.855        0.02           2.40     0.062
## [1556,]           7.0            0.560        0.17           1.70     0.065
## [1557,]           6.6            0.880        0.04           2.20     0.066
## [1558,]           6.6            0.855        0.02           2.40     0.062
## [1559,]           6.9            0.630        0.33           6.70     0.235
## [1560,]           7.8            0.600        0.26           2.00     0.080
## [1561,]           7.8            0.600        0.26           2.00     0.080
## [1562,]           7.8            0.600        0.26           2.00     0.080
## [1563,]           7.2            0.695        0.13           2.00     0.076
## [1564,]           7.2            0.695        0.13           2.00     0.076
## [1565,]           7.2            0.695        0.13           2.00     0.076
## [1566,]           6.7            0.670        0.02           1.90     0.061
## [1567,]           6.7            0.160        0.64           2.10     0.059
## [1568,]           7.2            0.695        0.13           2.00     0.076
## [1569,]           7.0            0.560        0.13           1.60     0.077
## [1570,]           6.2            0.510        0.14           1.90     0.056
## [1571,]           6.4            0.360        0.53           2.20     0.230
## [1572,]           6.4            0.380        0.14           2.20     0.038
## [1573,]           7.3            0.690        0.32           2.20     0.069
## [1574,]           6.0            0.580        0.20           2.40     0.075
## [1575,]           5.6            0.310        0.78          13.90     0.074
## [1576,]           7.5            0.520        0.40           2.20     0.060
## [1577,]           8.0            0.300        0.63           1.60     0.081
## [1578,]           6.2            0.700        0.15           5.10     0.076
## [1579,]           6.8            0.670        0.15           1.80     0.118
## [1580,]           6.2            0.560        0.09           1.70     0.053
## [1581,]           7.4            0.350        0.33           2.40     0.068
## [1582,]           6.2            0.560        0.09           1.70     0.053
## [1583,]           6.1            0.715        0.10           2.60     0.053
## [1584,]           6.2            0.460        0.29           2.10     0.074
## [1585,]           6.7            0.320        0.44           2.40     0.061
## [1586,]           7.2            0.390        0.44           2.60     0.066
## [1587,]           7.5            0.310        0.41           2.40     0.065
## [1588,]           5.8            0.610        0.11           1.80     0.066
## [1589,]           7.2            0.660        0.33           2.50     0.068
## [1590,]           6.6            0.725        0.20           7.80     0.073
## [1591,]           6.3            0.550        0.15           1.80     0.077
## [1592,]           5.4            0.740        0.09           1.70     0.089
## [1593,]           6.3            0.510        0.13           2.30     0.076
## [1594,]           6.8            0.620        0.08           1.90     0.068
## [1595,]           6.2            0.600        0.08           2.00     0.090
## [1596,]           5.9            0.550        0.10           2.20     0.062
## [1597,]           6.3            0.510        0.13           2.30     0.076
## [1598,]           5.9            0.645        0.12           2.00     0.075
## [1599,]           6.0            0.310        0.47           3.60     0.067
##         free sulfur dioxide total sulfur dioxide density   pH sulphates
##    [1,]                11.0                 34.0 0.99780 3.51      0.56
##    [2,]                25.0                 67.0 0.99680 3.20      0.68
##    [3,]                15.0                 54.0 0.99700 3.26      0.65
##    [4,]                17.0                 60.0 0.99800 3.16      0.58
##    [5,]                11.0                 34.0 0.99780 3.51      0.56
##    [6,]                13.0                 40.0 0.99780 3.51      0.56
##    [7,]                15.0                 59.0 0.99640 3.30      0.46
##    [8,]                15.0                 21.0 0.99460 3.39      0.47
##    [9,]                 9.0                 18.0 0.99680 3.36      0.57
##   [10,]                17.0                102.0 0.99780 3.35      0.80
##   [11,]                15.0                 65.0 0.99590 3.28      0.54
##   [12,]                17.0                102.0 0.99780 3.35      0.80
##   [13,]                16.0                 59.0 0.99430 3.58      0.52
##   [14,]                 9.0                 29.0 0.99740 3.26      1.56
##   [15,]                52.0                145.0 0.99860 3.16      0.88
##   [16,]                51.0                148.0 0.99860 3.17      0.93
##   [17,]                35.0                103.0 0.99690 3.30      0.75
##   [18,]                16.0                 56.0 0.99680 3.11      1.28
##   [19,]                 6.0                 29.0 0.99740 3.38      0.50
##   [20,]                17.0                 56.0 0.99690 3.04      1.08
##   [21,]                29.0                 60.0 0.99680 3.39      0.53
##   [22,]                23.0                 71.0 0.99820 3.52      0.65
##   [23,]                10.0                 37.0 0.99660 3.17      0.91
##   [24,]                 9.0                 67.0 0.99680 3.17      0.53
##   [25,]                21.0                 40.0 0.99680 3.43      0.63
##   [26,]                11.0                 23.0 0.99550 3.34      0.56
##   [27,]                 4.0                 11.0 0.99620 3.28      0.59
##   [28,]                10.0                 37.0 0.99660 3.17      0.91
##   [29,]                14.0                 35.0 0.99720 3.47      0.55
##   [30,]                 8.0                 16.0 0.99640 3.38      0.59
##   [31,]                17.0                 82.0 0.99580 3.35      0.54
##   [32,]                22.0                 37.0 0.99660 3.46      0.57
##   [33,]                15.0                113.0 0.99660 3.17      0.66
##   [34,]                40.0                 83.0 0.99930 3.45      0.52
##   [35,]                13.0                 50.0 0.99570 3.38      0.55
##   [36,]                 5.0                 18.0 0.99860 3.40      0.55
##   [37,]                 3.0                 15.0 0.99750 3.42      0.60
##   [38,]                13.0                 30.0 0.99680 3.23      0.73
##   [39,]                 7.0                 19.0 0.99400 3.50      0.48
##   [40,]                12.0                 87.0 0.99780 3.33      0.83
##   [41,]                12.0                 87.0 0.99780 3.33      0.83
##   [42,]                17.0                 46.0 0.99760 3.26      0.51
##   [43,]                 8.0                 14.0 0.99680 3.21      0.90
##   [44,]                 9.0                 23.0 0.99680 3.30      1.20
##   [45,]                 5.0                 11.0 0.99620 3.48      0.52
##   [46,]                 8.0                 65.0 0.99340 3.90      0.56
##   [47,]                22.0                114.0 0.99700 3.25      0.73
##   [48,]                12.0                 37.0 0.99690 3.25      0.58
##   [49,]                 5.0                 12.0 0.99580 3.34      0.56
##   [50,]                12.0                 96.0 0.99540 3.32      0.58
##   [51,]                 4.0                 23.0 0.99710 3.15      0.74
##   [52,]                 8.0                 15.0 0.99560 3.40      0.63
##   [53,]                 6.0                 14.0 0.99550 3.39      0.64
##   [54,]                30.0                119.0 0.99700 3.20      0.56
##   [55,]                33.0                 73.0 0.99550 3.17      0.63
##   [56,]                25.0                 45.0 0.99780 3.34      0.53
##   [57,]                 4.0                 10.0 0.99710 3.04      0.63
##   [58,]                50.0                110.0 0.99830 3.26      0.77
##   [59,]                17.0                 54.0 0.99750 3.43      0.59
##   [60,]                 9.0                 46.0 0.99620 3.41      0.54
##   [61,]                19.0                 52.0 0.99800 3.44      0.64
##   [62,]                20.0                112.0 0.99680 3.21      0.71
##   [63,]                12.0                 35.0 0.99680 3.38      0.62
##   [64,]                13.0                 54.0 0.99660 3.39      0.57
##   [65,]                 4.0                 11.0 0.99620 3.41      0.39
##   [66,]                 4.0                 11.0 0.99620 3.41      0.39
##   [67,]                11.0                 39.0 0.99680 3.42      0.58
##   [68,]                 6.0                 15.0 0.99620 3.44      0.58
##   [69,]                27.0                 65.0 0.99690 3.28      0.79
##   [70,]                 8.0                 19.0 0.99620 3.34      0.95
##   [71,]                15.0                 27.0 0.99670 3.32      0.54
##   [72,]                17.0                 96.0 0.99620 3.32      0.48
##   [73,]                18.0                 94.0 0.99610 3.31      0.48
##   [74,]                11.0                 43.0 0.99760 3.31      0.53
##   [75,]                28.0                 83.0 0.99840 3.28      0.82
##   [76,]                 9.0                 42.0 0.99860 3.54      0.66
##   [77,]                 9.0                 42.0 0.99860 3.54      0.66
##   [78,]                14.0                 30.0 0.99660 3.52      0.55
##   [79,]                12.0                 80.0 0.99580 3.38      0.52
##   [80,]                27.0                119.0 0.99720 3.16      1.12
##   [81,]                 3.0                 15.0 0.99580 3.41      0.56
##   [82,]                22.0                 67.0 0.99740 3.13      1.28
##   [83,]                21.0                 73.0 0.99700 3.36      0.57
##   [84,]                16.0                 51.0 0.99690 3.16      1.14
##   [85,]                18.0                 61.0 0.99590 3.44      0.78
##   [86,]                19.0                 40.0 0.99610 3.41      0.59
##   [87,]                20.0                136.0 0.99720 2.93      1.95
##   [88,]                 9.0                 31.0 0.99660 3.39      0.64
##   [89,]                34.0                125.0 0.99780 3.14      1.22
##   [90,]                 8.0                 24.0 0.99780 3.48      0.53
##   [91,]                42.0                140.0 0.99640 3.23      0.54
##   [92,]                20.0                136.0 0.99720 2.93      1.95
##   [93,]                19.0                133.0 0.99720 2.93      1.98
##   [94,]                 9.0                 31.0 0.99660 3.39      0.64
##   [95,]                41.0                 85.0 0.99380 3.75      0.48
##   [96,]                17.0                106.0 0.99320 3.85      0.60
##   [97,]                 8.0                 23.0 0.99650 3.45      0.56
##   [98,]                 3.0                 22.0 0.99630 3.25      0.63
##   [99,]                 5.0                 10.0 0.99670 3.39      0.56
##  [100,]                13.0                 35.0 0.99720 3.30      0.59
##  [101,]                11.0                 50.0 0.99720 3.40      0.61
##  [102,]                 8.0                 22.0 0.99590 3.31      0.56
##  [103,]                13.0                 35.0 0.99720 3.30      0.59
##  [104,]                12.0                 65.0 0.99670 3.29      0.51
##  [105,]                 5.0                 36.0 0.99600 3.33      0.48
##  [106,]                12.0                 65.0 0.99670 3.29      0.51
##  [107,]                18.0                 69.0 0.99730 3.08      1.31
##  [108,]                15.0                 64.0 0.99690 3.46      0.79
##  [109,]                18.0                 80.0 0.99760 3.37      0.80
##  [110,]                37.0                153.0 0.99690 3.21      0.69
##  [111,]                12.0                 47.0 0.99640 3.19      0.93
##  [112,]                11.0                108.0 0.99640 3.15      0.66
##  [113,]                14.0                111.0 0.99640 3.15      0.66
##  [114,]                22.0                 46.0 0.99880 3.32      0.67
##  [115,]                12.0                 47.0 0.99640 3.19      0.93
##  [116,]                13.0                 62.0 0.99660 3.07      0.63
##  [117,]                11.0                 40.0 0.99780 3.39      0.61
##  [118,]                 7.0                 28.0 0.99700 3.37      0.50
##  [119,]                14.0                 56.0 0.99620 3.21      0.60
##  [120,]                22.0                 89.0 0.99590 3.34      0.54
##  [121,]                10.0                 89.0 0.99620 3.30      0.57
##  [122,]                14.0                 56.0 0.99620 3.21      0.60
##  [123,]                 3.0                 13.0 0.99800 3.49      0.52
##  [124,]                11.0                 34.0 0.99760 3.44      0.53
##  [125,]                21.0                102.0 0.99600 3.39      0.48
##  [126,]                27.0                 90.0 0.99840 3.16      0.70
##  [127,]                 3.0                 12.0 0.99640 3.53      0.49
##  [128,]                 3.0                 12.0 0.99640 3.54      0.48
##  [129,]                 3.0                 16.0 0.99620 3.42      0.92
##  [130,]                 6.0                 19.0 0.99550 3.42      0.57
##  [131,]                30.0                134.0 0.99680 3.24      0.66
##  [132,]                17.0                 99.0 0.99370 3.63      0.63
##  [133,]                17.0                 99.0 0.99370 3.63      0.63
##  [134,]                17.0                 26.0 0.99520 3.40      0.58
##  [135,]                13.0                 29.0 0.99590 3.22      0.55
##  [136,]                16.0                 63.0 0.99650 3.19      0.82
##  [137,]                10.0                 52.0 0.99680 3.23      0.77
##  [138,]                13.0                 45.0 0.99720 3.48      0.64
##  [139,]                15.0                105.0 0.99620 3.33      0.54
##  [140,]                17.0                108.0 0.99620 3.32      0.54
##  [141,]                16.0                 63.0 0.99650 3.19      0.82
##  [142,]                10.0                 52.0 0.99680 3.23      0.77
##  [143,]                27.0                 63.0 0.99160 3.68      0.79
##  [144,]                 3.0                 20.0 0.99540 3.34      0.58
##  [145,]                27.0                 63.0 0.99160 3.68      0.79
##  [146,]                32.0                141.0 0.99680 3.17      0.62
##  [147,]                21.0                 94.0 0.99440 3.54      0.52
##  [148,]                10.0                 88.0 0.99680 3.11      0.80
##  [149,]                12.0                 30.0 0.99590 3.42      0.58
##  [150,]                11.0                 43.0 0.99750 3.53      0.61
##  [151,]                 5.0                 11.0 0.99580 3.33      0.53
##  [152,]                32.0                 69.0 0.99960 2.74      2.00
##  [153,]                25.0                 99.0 0.99500 3.35      0.54
##  [154,]                25.0                 99.0 0.99500 3.35      0.54
##  [155,]                29.0                129.0 0.99730 3.42      0.72
##  [156,]                28.0                128.0 0.99730 3.42      0.71
##  [157,]                29.0                129.0 0.99730 3.42      0.72
##  [158,]                28.0                128.0 0.99730 3.42      0.71
##  [159,]                12.0                 22.0 0.99690 3.48      0.50
##  [160,]                18.0                 86.0 0.99680 3.59      0.57
##  [161,]                 7.0                 20.0 0.99590 3.20      0.56
##  [162,]                 9.0                 20.0 0.99650 3.17      1.08
##  [163,]                17.0                 31.0 0.99640 3.33      0.56
##  [164,]                36.0                121.0 0.99820 3.37      0.49
##  [165,]                35.0                121.0 0.99810 3.37      0.49
##  [166,]                14.0                 96.0 0.99610 3.19      0.62
##  [167,]                18.0                101.0 0.99560 3.34      0.52
##  [168,]                17.0                 42.0 0.99560 3.37      0.48
##  [169,]                11.0                 44.0 0.99530 3.47      0.55
##  [170,]                15.0                 63.0 0.99640 3.00      1.59
##  [171,]                 4.0                  8.0 0.99720 3.36      0.33
##  [172,]                 6.0                 18.0 0.99720 3.29      0.61
##  [173,]                 6.0                 18.0 0.99720 3.29      0.61
##  [174,]                24.0                 42.0 0.99610 3.42      0.57
##  [175,]                 7.0                 35.0 0.99610 3.33      0.47
##  [176,]                19.0                 49.0 0.99580 3.35      0.78
##  [177,]                 7.0                 35.0 0.99610 3.33      0.47
##  [178,]                 8.0                 38.0 0.99720 3.58      0.61
##  [179,]                 7.0                 20.0 0.99690 3.48      0.56
##  [180,]                10.0                 42.0 0.99690 3.19      0.59
##  [181,]                10.0                 42.0 0.99690 3.19      0.59
##  [182,]                23.0                110.0 0.99720 3.12      1.02
##  [183,]                16.0                 42.0 0.99720 3.44      0.52
##  [184,]                11.0                 65.0 0.99710 3.54      0.58
##  [185,]                 8.0                 62.0 0.99700 3.52      0.58
##  [186,]                26.0                 85.0 0.99710 3.26      0.53
##  [187,]                14.0                 67.0 0.99720 3.34      0.55
##  [188,]                 9.0                 26.0 0.99760 3.39      0.49
##  [189,]                15.0                143.0 0.99680 3.20      0.55
##  [190,]                17.0                144.0 0.99680 3.20      0.55
##  [191,]                21.0                127.0 0.99760 3.23      0.62
##  [192,]                21.0                 49.0 0.99740 3.57      0.62
##  [193,]                16.0                126.0 0.99690 3.28      0.61
##  [194,]                 7.0                 28.0 0.99640 3.28      0.55
##  [195,]                 7.0                 28.0 0.99640 3.28      0.55
##  [196,]                24.0                120.0 0.99680 3.25      0.54
##  [197,]                15.0                 55.0 0.99680 3.46      0.59
##  [198,]                12.0                 27.0 0.99810 3.11      0.97
##  [199,]                13.0                 93.0 0.99240 3.57      0.85
##  [200,]                12.0                 31.0 0.99480 3.51      0.43
##  [201,]                 9.0                 24.0 0.99695 3.22      0.82
##  [202,]                39.0                145.0 0.99750 3.04      1.03
##  [203,]                16.0                 49.0 0.99545 3.36      0.79
##  [204,]                16.0                 39.0 0.99610 3.34      0.55
##  [205,]                14.0                 37.0 0.99615 3.34      0.56
##  [206,]                 9.0                 28.0 0.99940 3.20      0.77
##  [207,]                 9.0                 28.0 0.99940 3.20      0.77
##  [208,]                26.0                120.0 0.99625 3.29      0.53
##  [209,]                18.0                 95.0 0.99660 3.22      0.67
##  [210,]                 7.0                 19.0 0.99800 3.31      0.88
##  [211,]                 5.0                 19.0 0.99585 3.30      0.86
##  [212,]                10.0                 62.0 0.99685 3.35      0.56
##  [213,]                 5.0                 15.0 0.99800 3.21      0.67
##  [214,]                28.0                 65.0 0.99590 3.30      0.43
##  [215,]                10.0                 41.0 0.99740 3.24      0.71
##  [216,]                26.0                121.0 0.99740 3.34      0.76
##  [217,]                13.0                 49.0 0.99620 3.14      0.57
##  [218,]                11.0                 41.0 0.99670 3.36      0.55
##  [219,]                10.0                 44.0 0.99570 3.39      0.54
##  [220,]                24.0                144.0 0.99655 3.30      0.60
##  [221,]                24.0                 58.0 0.99640 3.34      0.59
##  [222,]                16.0                 72.0 0.99570 3.15      0.57
##  [223,]                 5.0                 10.0 0.99525 3.42      0.60
##  [224,]                 8.0                 28.0 0.99815 3.28      0.60
##  [225,]                15.0                 55.0 0.99745 3.31      0.57
##  [226,]                29.0                 63.0 0.99615 3.37      0.58
##  [227,]                27.0                 81.0 0.99640 3.04      1.61
##  [228,]                 9.0                 23.0 0.99840 3.39      0.63
##  [229,]                29.0                 63.0 0.99615 3.37      0.58
##  [230,]                10.0                 37.0 0.99685 3.46      0.50
##  [231,]                19.0                106.0 0.99270 3.54      0.62
##  [232,]                12.0                 49.0 0.99625 3.37      0.52
##  [233,]                18.0                 58.0 0.99800 3.34      0.70
##  [234,]                10.0                 37.0 0.99685 3.46      0.50
##  [235,]                 7.0                 37.0 0.99685 3.32      0.55
##  [236,]                14.0                 38.0 0.99675 3.37      0.58
##  [237,]                14.0                 38.0 0.99675 3.37      0.58
##  [238,]                15.0                 39.0 0.99675 3.37      0.58
##  [239,]                14.0                 38.0 0.99675 3.37      0.58
##  [240,]                 7.0                 37.0 0.99685 3.32      0.55
##  [241,]                 5.0                 62.0 0.99710 3.00      1.09
##  [242,]                 6.0                 24.0 0.99925 3.14      0.71
##  [243,]                28.0                109.0 0.99565 3.08      0.49
##  [244,]                10.0                 24.0 1.00005 3.07      0.84
##  [245,]                10.0                 24.0 1.00005 3.07      0.84
##  [246,]                 6.0                 23.0 0.99830 3.61      0.96
##  [247,]                16.0                 51.0 0.99685 3.38      0.52
##  [248,]                11.0                 73.0 0.99630 3.20      0.45
##  [249,]                 9.0                 39.0 0.99615 3.35      0.48
##  [250,]                 6.0                 23.0 0.99830 3.61      0.96
##  [251,]                16.0                 37.0 0.99850 3.22      0.78
##  [252,]                16.0                 34.0 0.99720 3.47      0.70
##  [253,]                 5.0                 21.0 0.99860 3.17      0.53
##  [254,]                 8.0                 86.0 0.99590 3.23      0.59
##  [255,]                16.0                 34.0 0.99720 3.47      0.70
##  [256,]                17.0                119.0 0.99675 3.26      0.57
##  [257,]                 5.0                 13.0 0.99800 3.22      0.62
##  [258,]                12.0                 56.0 0.99680 3.49      0.67
##  [259,]                 8.0                 45.0 0.99680 3.06      1.26
##  [260,]                14.0                 33.0 0.99965 3.36      0.80
##  [261,]                18.0                 45.0 0.99625 3.29      0.65
##  [262,]                12.0                 67.0 0.99565 3.35      0.60
##  [263,]                10.0                 35.0 0.99575 3.34      0.57
##  [264,]                23.0                 49.0 0.99630 3.28      0.67
##  [265,]                 5.0                 27.0 0.99990 3.08      0.87
##  [266,]                 6.0                 10.0 0.99680 3.20      0.72
##  [267,]                26.0                 61.0 1.00025 3.60      0.72
##  [268,]                15.0                 37.0 0.99730 3.35      0.86
##  [269,]                 7.0                 27.0 0.99870 3.69      0.91
##  [270,]                 4.0                 23.0 0.99960 3.28      0.97
##  [271,]                27.0                 61.0 0.99650 3.36      0.67
##  [272,]                 4.0                 23.0 0.99960 3.28      0.97
##  [273,]                17.0                 65.0 0.99935 3.22      0.78
##  [274,]                10.0                 38.0 0.99735 3.31      0.64
##  [275,]                27.0                 94.0 0.99915 3.38      0.77
##  [276,]                27.0                 61.0 0.99650 3.36      0.67
##  [277,]                 7.0                 27.0 0.99870 3.69      0.91
##  [278,]                 4.0                 23.0 0.99960 3.28      0.97
##  [279,]                 5.0                 13.0 0.99760 3.23      0.82
##  [280,]                10.0                 47.0 0.99910 3.38      0.77
##  [281,]                 6.0                 19.0 0.99860 3.12      0.82
##  [282,]                 5.0                 10.0 0.99720 3.25      1.08
##  [283,]                12.0                 53.0 0.99710 3.36      0.57
##  [284,]                10.0                 47.0 0.99910 3.38      0.77
##  [285,]                32.0                 71.0 1.00015 3.31      0.71
##  [286,]                32.0                 71.0 1.00015 3.31      0.71
##  [287,]                25.0                 49.0 0.99970 3.10      0.76
##  [288,]                29.0                 53.0 0.99670 3.37      0.70
##  [289,]                20.0                 49.0 0.99760 3.34      0.86
##  [290,]                33.0                 98.0 1.00100 3.20      0.95
##  [291,]                20.0                 49.0 0.99760 3.34      0.86
##  [292,]                 6.0                 18.0 0.99790 3.30      0.71
##  [293,]                18.0                 48.0 0.99940 3.22      0.64
##  [294,]                 5.0                 16.0 0.99640 3.41      0.60
##  [295,]                17.0                 53.0 1.00140 3.05      0.81
##  [296,]                 5.0                 27.0 1.00010 3.05      0.64
##  [297,]                26.0                 70.0 0.99810 3.16      0.52
##  [298,]                 8.0                 29.0 0.99855 3.67      0.73
##  [299,]                 5.0                 31.0 0.99930 3.67      0.80
##  [300,]                 8.0                 33.0 0.99845 3.68      0.71
##  [301,]                20.0                 44.0 0.99650 3.38      0.59
##  [302,]                 7.0                 15.0 0.99730 3.22      0.64
##  [303,]                12.0                 28.0 0.99940 3.51      0.72
##  [304,]                 5.0                 21.0 0.99600 3.39      0.54
##  [305,]                12.0                 90.0 0.99730 3.20      0.52
##  [306,]                 6.0                 25.0 0.99980 3.12      0.59
##  [307,]                 7.0                 54.0 0.99660 3.36      0.52
##  [308,]                 6.0                 14.0 0.99940 3.19      0.62
##  [309,]                 5.0                 12.0 0.99940 3.19      0.63
##  [310,]                 9.0                 30.0 0.99680 3.41      0.53
##  [311,]                 6.0                 25.0 0.99980 3.12      0.59
##  [312,]                15.0                105.0 0.99600 3.27      0.54
##  [313,]                19.0                 98.0 0.99815 3.32      0.63
##  [314,]                30.0                135.0 0.99760 3.30      0.53
##  [315,]                26.0                 72.0 0.99645 3.39      0.68
##  [316,]                20.0                 53.0 0.99620 3.42      0.65
##  [317,]                37.0                 92.0 0.99960 3.30      0.65
##  [318,]                30.0                 74.0 0.99865 3.30      0.64
##  [319,]                21.0                 59.0 0.99890 3.37      0.71
##  [320,]                30.0                 74.0 0.99865 3.30      0.64
##  [321,]                21.0                 59.0 0.99890 3.37      0.71
##  [322,]                25.0                 87.0 0.99975 3.24      0.62
##  [323,]                 6.0                 18.0 0.99735 3.29      0.63
##  [324,]                35.0                 73.0 0.99900 3.28      0.70
##  [325,]                13.0                 50.0 1.00150 3.16      0.69
##  [326,]                13.0                 50.0 1.00150 3.16      0.69
##  [327,]                 6.0                 14.0 0.99780 3.05      0.74
##  [328,]                 5.0                 13.0 0.99800 3.28      0.83
##  [329,]                 6.0                 21.0 1.00020 3.16      0.67
##  [330,]                 7.0                 15.0 0.99810 3.18      0.62
##  [331,]                10.0                 41.0 0.99800 3.23      0.66
##  [332,]                10.0                 41.0 0.99800 3.23      0.66
##  [333,]                21.0                114.0 0.99730 3.22      0.54
##  [334,]                16.0                 44.0 0.99580 3.13      0.52
##  [335,]                17.0                 38.0 0.99630 3.34      0.74
##  [336,]                 7.0                 21.0 0.99920 3.17      0.84
##  [337,]                 6.0                 16.0 0.99480 3.35      0.70
##  [338,]                29.0                 58.0 0.99740 3.31      0.64
##  [339,]                28.0                 99.0 1.00080 3.16      1.00
##  [340,]                12.0                 29.0 0.99970 3.11      1.36
##  [341,]                10.0                 21.0 1.00000 3.12      1.18
##  [342,]                 5.0                 18.0 0.99720 3.21      0.87
##  [343,]                 6.0                 14.0 0.99820 3.30      0.75
##  [344,]                 6.0                 14.0 0.99820 3.30      0.75
##  [345,]                 6.0                 32.0 1.00060 3.12      0.78
##  [346,]                40.0                 63.0 0.99790 3.60      0.81
##  [347,]                17.0                 34.0 0.99550 3.58      0.89
##  [348,]                 6.0                 15.0 0.99860 3.02      0.93
##  [349,]                15.0                 46.0 0.99790 3.11      0.92
##  [350,]                11.0                 28.0 0.99940 3.36      0.86
##  [351,]                17.0                 34.0 1.00040 3.28      0.98
##  [352,]                11.0                 26.0 0.99940 3.35      0.83
##  [353,]                 8.0                 19.0 0.99740 3.27      0.73
##  [354,]                23.0                 77.0 1.00180 3.18      0.77
##  [355,]                40.5                165.0 0.99120 3.25      0.59
##  [356,]                17.0                 32.0 0.99550 3.55      0.61
##  [357,]                29.0                 55.0 1.00010 3.26      0.88
##  [358,]                12.0                 29.0 0.99700 3.24      0.75
##  [359,]                10.0                 23.0 1.00000 3.15      0.85
##  [360,]                10.0                 41.0 1.00100 3.17      0.68
##  [361,]                14.0                 81.0 0.99730 3.19      0.70
##  [362,]                21.0                 50.0 0.99820 3.37      0.91
##  [363,]                 6.0                 37.0 0.99920 3.05      0.56
##  [364,]                 6.0                 15.0 0.99880 2.99      0.87
##  [365,]                 7.0                 42.0 1.00220 3.07      0.73
##  [366,]                 7.0                 21.0 0.99790 3.26      0.93
##  [367,]                 7.0                 42.0 1.00220 3.07      0.73
##  [368,]                11.0                 24.0 1.00000 3.16      0.69
##  [369,]                15.0                 75.0 0.99980 3.18      0.64
##  [370,]                 6.0                 18.0 0.99620 3.20      1.13
##  [371,]                35.0                 63.0 0.99750 3.57      0.78
##  [372,]                11.0                 25.0 0.99670 3.32      0.87
##  [373,]                26.0                 46.0 0.99670 3.32      1.04
##  [374,]                12.0                 72.0 0.99590 3.05      0.63
##  [375,]                 6.0                 47.0 1.00140 3.01      0.81
##  [376,]                 6.0                 15.0 0.99840 3.01      0.83
##  [377,]                19.0                 47.0 1.00030 3.26      1.11
##  [378,]                 6.0                 18.0 0.99620 3.20      1.13
##  [379,]                 6.0                 24.0 0.99880 3.11      0.99
##  [380,]                24.0                 60.0 0.99790 3.31      0.70
##  [381,]                11.0                 27.0 0.99740 3.21      0.80
##  [382,]                17.0                 43.0 1.00140 3.06      0.80
##  [383,]                11.0                 27.0 0.99740 3.21      0.80
##  [384,]                11.0                 27.0 0.99740 3.21      0.80
##  [385,]                23.0                 54.0 0.99800 3.42      0.74
##  [386,]                11.0                 37.0 0.99790 3.43      0.76
##  [387,]                23.0                 48.0 0.99810 3.41      0.74
##  [388,]                17.0                 42.0 0.99720 3.31      0.54
##  [389,]                23.0                 53.0 0.99810 3.43      0.74
##  [390,]                16.0                 49.0 0.99820 3.19      0.70
##  [391,]                12.0                 88.0 0.99240 3.56      0.82
##  [392,]                17.0                 43.0 1.00140 3.06      0.80
##  [393,]                 6.0                 26.0 0.99800 3.18      0.51
##  [394,]                13.0                 95.0 0.99700 3.16      0.54
##  [395,]                 6.0                 25.0 0.99970 3.03      0.57
##  [396,]                 7.0                 38.0 1.00040 3.22      0.60
##  [397,]                68.0                124.0 0.99940 3.47      0.53
##  [398,]                13.0                 49.0 0.99880 3.18      0.65
##  [399,]                13.0                 49.0 0.99880 3.18      0.65
##  [400,]                 9.0                 42.0 0.99630 3.10      0.55
##  [401,]                68.0                124.0 0.99940 3.47      0.53
##  [402,]                20.0                 38.0 0.99490 3.29      0.47
##  [403,]                19.0                 64.0 1.00000 3.10      0.61
##  [404,]                10.0                 41.0 0.99940 3.15      0.63
##  [405,]                15.0                 27.0 0.99740 3.26      0.61
##  [406,]                11.0                 25.0 0.99660 3.36      0.76
##  [407,]                 9.0                 28.0 0.99810 3.24      0.65
##  [408,]                12.0                 30.0 0.99960 3.18      0.63
##  [409,]                 6.0                 16.0 0.99700 3.19      0.70
##  [410,]                26.0                 49.0 0.99810 3.05      0.57
##  [411,]                26.0                 86.0 0.99870 3.38      0.62
##  [412,]                23.0                 78.0 0.99870 3.38      0.62
##  [413,]                15.0                 77.0 0.99660 3.27      0.64
##  [414,]                 6.0                 19.0 0.99860 3.27      0.82
##  [415,]                24.0                122.0 0.99820 3.26      0.61
##  [416,]                31.0                134.0 1.00140 3.32      1.07
##  [417,]                 6.0                 20.0 0.99700 3.26      0.66
##  [418,]                34.0                124.0 0.99560 3.44      0.48
##  [419,]                 7.0                 20.0 0.99960 3.24      0.76
##  [420,]                34.0                 52.0 0.99760 3.62      0.68
##  [421,]                35.0                 67.0 0.99720 3.28      0.73
##  [422,]                32.0                 48.0 0.99520 3.52      0.56
##  [423,]                15.0                 60.0 0.99550 3.36      0.44
##  [424,]                 6.0                 24.0 0.99780 3.15      0.90
##  [425,]                15.0                 60.0 0.99550 3.36      0.44
##  [426,]                32.0                 48.0 0.99520 3.52      0.56
##  [427,]                19.0                 48.0 0.99490 3.49      0.49
##  [428,]                 6.0                 32.0 0.99880 3.26      0.56
##  [429,]                 9.0                 30.0 0.99780 3.24      0.60
##  [430,]                13.0                 35.0 0.99970 3.10      0.60
##  [431,]                 6.0                 24.0 0.99780 3.15      0.90
##  [432,]                21.0                 66.0 0.99740 3.25      0.56
##  [433,]                12.0                 24.0 0.99580 3.00      0.65
##  [434,]                 6.0                 18.0 1.00040 3.16      0.49
##  [435,]                22.0                 54.0 0.99960 3.15      0.89
##  [436,]                 6.0                 18.0 1.00040 3.16      0.49
##  [437,]                38.0                 62.0 0.99580 3.26      0.56
##  [438,]                 6.0                 22.0 0.99860 3.17      0.66
##  [439,]                22.0                 54.0 0.99960 3.15      0.89
##  [440,]                 7.0                 50.0 0.99510 3.08      0.60
##  [441,]                 6.0                 29.0 0.99870 2.88      0.82
##  [442,]                 7.0                 27.0 0.99880 3.06      0.68
##  [443,]                 6.0                 43.0 1.00320 2.95      0.68
##  [444,]                11.0                 19.0 0.99630 3.23      0.63
##  [445,]                 5.0                 27.0 0.99340 3.57      0.84
##  [446,]                 6.0                 31.0 0.99860 3.23      0.56
##  [447,]                31.0                 72.0 0.99960 3.10      0.73
##  [448,]                 6.0                 16.0 0.99680 3.22      0.72
##  [449,]                 7.0                 27.0 0.99670 3.20      0.56
##  [450,]                17.0                 35.0 0.99940 3.10      0.61
##  [451,]                17.0                 35.0 0.99940 3.10      0.61
##  [452,]                 9.0                 26.0 0.99790 3.06      1.06
##  [453,]                18.0                 35.0 0.99680 3.44      0.63
##  [454,]                 5.0                 22.0 0.99980 3.26      0.74
##  [455,]                21.0                 67.0 0.99520 3.50      0.63
##  [456,]                 6.0                 19.0 0.99880 3.22      0.69
##  [457,]                 5.0                 22.0 0.99860 3.37      0.58
##  [458,]                29.0                 65.0 0.99880 3.28      0.58
##  [459,]                 5.0                 22.0 0.99980 3.26      0.74
##  [460,]                10.0                 47.0 1.00080 3.25      0.57
##  [461,]                14.0                 23.0 0.99760 3.35      0.61
##  [462,]                 6.0                 19.0 0.99820 3.26      0.61
##  [463,]                10.0                 25.0 0.99700 3.18      0.61
##  [464,]                25.0                129.0 0.99720 3.08      0.53
##  [465,]                 5.0                 15.0 0.99870 2.98      0.70
##  [466,]                10.0                 26.0 1.00060 3.48      0.91
##  [467,]                21.0                 51.0 0.99820 3.16      0.72
##  [468,]                 7.0                 18.0 0.99470 3.32      0.79
##  [469,]                 6.0                 21.0 1.00000 3.17      0.62
##  [470,]                36.0                 48.0 0.99520 3.20      0.58
##  [471,]                15.0                 47.0 0.99960 3.05      0.61
##  [472,]                25.0                 52.0 0.99700 3.20      0.71
##  [473,]                25.0                 68.0 0.99950 3.15      0.82
##  [474,]                 5.0                 14.0 0.99710 3.26      0.79
##  [475,]                10.0                 24.0 0.99820 3.20      0.89
##  [476,]                 5.0                 28.0 0.99880 3.14      0.60
##  [477,]                 6.0                 16.0 0.99800 3.28      0.70
##  [478,]                 6.0                 20.0 0.99770 3.18      1.06
##  [479,]                 5.0                 28.0 0.99880 3.14      0.60
##  [480,]                 6.0                 31.0 0.99840 3.19      0.70
##  [481,]                 6.0                 23.0 1.00260 3.12      0.66
##  [482,]                 6.0                 17.0 0.99640 3.15      0.92
##  [483,]                 6.0                 18.0 0.99860 3.04      1.05
##  [484,]                 7.0                 18.0 0.99860 3.04      1.06
##  [485,]                 6.0                 24.0 0.99700 3.06      0.66
##  [486,]                 6.0                 17.0 0.99760 3.17      0.47
##  [487,]                 6.0                 17.0 0.99760 3.17      0.47
##  [488,]                 5.0                 14.0 0.99820 3.17      0.42
##  [489,]                35.0                 67.0 1.00020 3.32      0.92
##  [490,]                10.0                 26.0 0.99840 3.34      0.75
##  [491,]                24.0                 56.0 0.99840 3.31      0.67
##  [492,]                12.0                 25.0 0.99520 3.34      0.79
##  [493,]                13.0                 27.0 0.99500 3.32      0.90
##  [494,]                23.0                 81.0 1.00020 3.48      0.74
##  [495,]                28.0                 91.0 0.99520 3.44      0.55
##  [496,]                 5.0                 16.0 0.99720 3.15      0.65
##  [497,]                14.0                 38.0 0.99840 3.43      0.65
##  [498,]                43.0                113.0 0.99660 3.32      0.79
##  [499,]                 5.0                 16.0 0.99720 3.15      0.65
##  [500,]                23.0                 81.0 1.00020 3.48      0.74
##  [501,]                14.0                 38.0 0.99840 3.43      0.65
##  [502,]                38.0                 76.0 0.99900 3.17      0.85
##  [503,]                38.0                 76.0 0.99900 3.17      0.85
##  [504,]                 6.0                 24.0 0.99760 3.18      1.04
##  [505,]                 6.0                 22.0 0.99760 3.21      1.05
##  [506,]                10.0                 26.0 0.99680 3.16      0.78
##  [507,]                 6.0                 21.0 0.99760 3.25      1.02
##  [508,]                 6.0                 13.0 1.00000 3.17      0.71
##  [509,]                26.0                 62.0 0.99940 3.18      0.63
##  [510,]                23.0                 43.0 0.99860 3.04      0.68
##  [511,]                19.0                 43.0 0.99780 3.02      0.61
##  [512,]                26.0                 62.0 0.99940 3.18      0.63
##  [513,]                15.0                 49.0 0.99800 3.03      0.81
##  [514,]                 6.0                 15.0 0.99730 3.09      0.66
##  [515,]                 6.0                 15.0 0.99730 3.09      0.66
##  [516,]                34.0                151.0 1.00100 3.31      1.14
##  [517,]                 5.0                 14.0 1.00100 3.25      0.74
##  [518,]                 5.0                 16.0 0.99940 3.16      0.63
##  [519,]                11.0                 32.0 0.99720 3.22      0.68
##  [520,]                39.0                106.0 0.99660 3.36      0.78
##  [521,]                15.0                 33.0 0.99820 3.42      0.90
##  [522,]                16.0                 43.0 0.99800 3.48      0.64
##  [523,]                47.0                133.0 0.99790 3.38      0.99
##  [524,]                38.0                142.0 0.99780 3.22      0.55
##  [525,]                23.0                116.0 0.99760 3.23      0.64
##  [526,]                29.0                 53.0 0.99980 3.24      0.67
##  [527,]                39.0                106.0 0.99660 3.36      0.78
##  [528,]                33.0                 85.0 0.99620 3.39      0.77
##  [529,]                32.0                 55.0 0.99880 3.34      0.75
##  [530,]                 6.0                 33.0 0.99740 3.09      0.57
##  [531,]                 1.0                 28.0 0.99900 3.41      0.87
##  [532,]                12.0                 42.0 1.00040 3.16      0.61
##  [533,]                12.0                 42.0 1.00040 3.16      0.61
##  [534,]                15.0                 33.0 0.99560 3.22      0.66
##  [535,]                13.0                 32.0 1.00000 3.28      0.56
##  [536,]                 1.0                 28.0 0.99900 3.41      0.87
##  [537,]                 6.0                 33.0 0.99740 3.09      0.57
##  [538,]                 5.0                 13.0 0.99720 3.37      0.77
##  [539,]                 5.0                 35.0 1.00140 3.20      0.66
##  [540,]                 5.0                 17.0 0.99960 3.22      0.62
##  [541,]                20.0                 47.0 0.99880 3.26      0.67
##  [542,]                 5.0                 17.0 0.99880 3.21      0.73
##  [543,]                 5.0                 20.0 0.99660 3.12      0.59
##  [544,]                16.0                 53.0 0.99930 3.06      0.72
##  [545,]                 6.0                 15.0 1.00080 2.86      0.79
##  [546,]                38.0                106.0 0.99820 3.08      0.59
##  [547,]                10.0                 28.0 0.99830 3.45      0.78
##  [548,]                 6.0                 21.0 0.99870 3.26      0.86
##  [549,]                27.0                 69.0 0.99940 3.12      0.75
##  [550,]                 6.0                 25.0 0.99750 3.27      0.61
##  [551,]                 9.0                 25.0 0.99580 3.33      0.56
##  [552,]                14.0                 45.0 0.99800 3.19      0.73
##  [553,]                14.0                 44.0 0.99800 3.12      0.74
##  [554,]                32.0                 96.0 0.99340 3.74      0.62
##  [555,]                10.0                 23.0 1.00315 2.92      0.74
##  [556,]                10.0                 23.0 1.00315 2.92      0.74
##  [557,]                10.0                 17.0 1.00020 3.07      0.56
##  [558,]                10.0                 23.0 1.00315 2.92      0.74
##  [559,]                10.0                 17.0 1.00020 3.07      0.56
##  [560,]                 6.0                 47.0 1.00210 3.30      0.68
##  [561,]                 5.0                 19.0 0.99940 3.14      0.57
##  [562,]                26.0                121.0 0.99780 3.23      0.58
##  [563,]                41.0                110.0 0.99820 3.08      0.61
##  [564,]                25.0                 60.0 0.99710 3.31      0.61
##  [565,]                 6.0                 47.0 1.00210 3.30      0.68
##  [566,]                 5.0                 19.0 0.99940 3.14      0.57
##  [567,]                 5.0                 15.0 0.99910 3.32      0.60
##  [568,]                 5.0                 15.0 0.99910 3.32      0.60
##  [569,]                 5.0                 20.0 0.99900 3.31      0.79
##  [570,]                19.0                 42.0 0.99460 3.57      0.57
##  [571,]                10.0                 37.0 1.00030 3.32      0.91
##  [572,]                19.0                 42.0 0.99460 3.57      0.57
##  [573,]                10.0                 28.0 0.99780 3.14      0.61
##  [574,]                14.0                 47.0 0.99910 3.30      0.56
##  [575,]                20.0                 78.0 0.99920 3.19      0.70
##  [576,]                28.0                 46.0 0.99930 3.20      0.80
##  [577,]                 6.0                 14.0 0.99780 3.34      0.52
##  [578,]                18.0                111.0 0.99820 3.30      0.60
##  [579,]                17.0                110.0 0.99820 3.29      0.60
##  [580,]                18.0                 40.0 0.99760 3.14      0.51
##  [581,]                 5.0                 14.0 1.00020 3.19      0.44
##  [582,]                 5.0                 14.0 1.00020 3.19      0.44
##  [583,]                 5.0                 15.0 1.00000 3.19      0.43
##  [584,]                10.0                 21.0 0.99760 2.98      0.66
##  [585,]                54.0                 80.0 1.00020 3.30      0.76
##  [586,]                 8.0                 38.0 0.99800 3.47      0.66
##  [587,]                16.0                 47.0 0.99860 3.12      1.02
##  [588,]                18.0                102.0 0.99670 3.26      0.59
##  [589,]                19.0                 50.0 0.99170 3.72      0.74
##  [590,]                 5.0                 13.0 0.99760 3.05      0.74
##  [591,]                21.0                 75.0 0.99870 3.35      0.57
##  [592,]                23.0                149.0 0.99220 3.12      0.50
##  [593,]                21.0                 75.0 0.99870 3.35      0.57
##  [594,]                 9.0                 43.0 1.00040 3.29      0.58
##  [595,]                20.0                 38.0 0.99780 3.40      0.53
##  [596,]                30.0                109.0 0.99980 3.27      0.57
##  [597,]                 6.0                 24.0 0.99940 3.04      0.60
##  [598,]                 5.0                 18.0 0.99800 3.09      0.63
##  [599,]                 5.0                 30.0 0.99670 3.20      0.48
##  [600,]                11.0                 22.0 1.00000 3.00      0.70
##  [601,]                 7.0                 23.0 0.99620 3.26      0.47
##  [602,]                12.0                 35.0 1.00060 3.10      0.56
##  [603,]                 6.0                 14.0 0.99750 3.30      0.52
##  [604,]                12.0                 35.0 1.00060 3.10      0.56
##  [605,]                14.0                 63.0 0.99840 3.17      0.62
##  [606,]                 6.0                 24.0 0.99840 3.31      0.59
##  [607,]                10.0                 20.0 0.99730 3.34      0.79
##  [608,]                26.0                 52.0 0.99820 3.31      0.53
##  [609,]                11.0                 65.0 1.00260 3.32      0.64
##  [610,]                15.0                 39.0 0.99560 3.56      0.52
##  [611,]                25.0                 57.0 0.99830 3.39      0.54
##  [612,]                 5.0                 16.0 1.00060 2.98      0.54
##  [613,]                18.0                 29.0 0.99650 3.32      0.60
##  [614,]                10.0                 29.0 0.99620 3.26      0.74
##  [615,]                10.0                103.0 0.99690 2.87      1.36
##  [616,]                28.0                 71.0 0.99970 3.50      0.57
##  [617,]                28.0                 71.0 0.99970 3.50      0.57
##  [618,]                14.0                 28.0 0.99820 3.03      0.93
##  [619,]                 4.0                 17.0 1.00060 3.13      0.70
##  [620,]                 6.0                 16.0 0.99880 3.09      0.80
##  [621,]                16.0                112.0 0.99760 3.27      0.61
##  [622,]                14.0                104.0 0.99760 3.28      0.62
##  [623,]                 9.0                 32.0 0.99740 3.13      0.55
##  [624,]                21.0                 45.0 0.99740 3.49      0.96
##  [625,]                21.0                 58.0 0.99970 3.46      0.72
##  [626,]                21.0                 58.0 0.99970 3.46      0.72
##  [627,]                 5.0                 15.0 0.99880 3.36      0.49
##  [628,]                 5.0                 15.0 0.99880 3.36      0.49
##  [629,]                 7.0                 31.0 0.99760 3.27      0.60
##  [630,]                20.0                 84.0 0.99640 3.21      0.61
##  [631,]                 7.0                 31.0 0.99760 3.27      0.60
##  [632,]                 5.0                 19.0 0.99880 3.25      0.63
##  [633,]                21.0                 43.0 0.99640 3.32      0.57
##  [634,]                11.0                 86.0 1.00100 3.43      0.64
##  [635,]                46.0                102.0 0.99640 3.27      0.58
##  [636,]                24.0                 33.0 0.99540 3.27      0.55
##  [637,]                30.0                147.0 0.99790 3.24      0.53
##  [638,]                31.0                145.0 0.99780 3.24      0.53
##  [639,]                 7.0                 23.0 0.99640 3.35      0.65
##  [640,]                25.0                 57.0 0.99700 3.18      1.36
##  [641,]                16.0                 40.0 0.99910 3.39      0.62
##  [642,]                21.0                 68.0 0.99920 3.46      0.63
##  [643,]                16.0                 40.0 0.99910 3.39      0.62
##  [644,]                21.0                 68.0 0.99920 3.46      0.63
##  [645,]                16.0                 40.0 0.99910 3.39      0.62
##  [646,]                 5.0                 11.0 0.99840 3.37      0.69
##  [647,]                 6.0                 20.0 0.99720 3.40      0.63
##  [648,]                 5.0                 14.0 0.99670 3.32      0.58
##  [649,]                10.0                 28.0 0.99640 3.33      0.67
##  [650,]                24.0                148.0 0.99480 3.16      0.57
##  [651,]                 8.0                 32.0 0.99860 2.89      0.50
##  [652,]                35.0                155.0 1.00100 3.41      0.67
##  [653,]                22.0                 71.0 0.99760 2.98      0.84
##  [654,]                 9.0                 30.0 0.99760 3.12      0.54
##  [655,]                 7.0                 29.0 0.99790 3.08      0.46
##  [656,]                20.0                 53.0 1.00040 3.14      0.61
##  [657,]                 8.0                 32.0 0.99860 2.89      0.50
##  [658,]                23.0                 42.0 0.99800 2.92      0.68
##  [659,]                 5.0                 20.0 0.99730 3.32      0.81
##  [660,]                 5.0                 13.0 0.99700 3.41      0.57
##  [661,]                 5.0                 20.0 0.99730 3.32      0.81
##  [662,]                15.0                 42.0 0.99780 3.31      0.64
##  [663,]                 9.0                 27.0 0.99720 3.36      0.70
##  [664,]                 5.0                 13.0 0.99740 3.04      0.79
##  [665,]                15.0                 54.0 1.00000 3.03      0.66
##  [666,]                25.0                 48.0 0.99810 3.14      0.56
##  [667,]                 6.0                 16.0 0.99800 3.18      0.60
##  [668,]                 6.0                 15.0 0.99880 2.94      0.66
##  [669,]                15.0                 31.0 0.99660 3.15      0.57
##  [670,]                 6.0                 15.0 0.99880 2.94      0.66
##  [671,]                30.0                 45.0 0.99590 3.26      0.58
##  [672,]                 5.0                 13.0 0.99680 3.20      0.52
##  [673,]                32.0                151.0 0.99800 3.15      0.53
##  [674,]                 5.0                 13.0 0.99680 3.20      0.52
##  [675,]                 7.0                 17.0 0.99840 3.08      0.67
##  [676,]                12.0                 31.0 0.99840 3.26      0.65
##  [677,]                 7.0                 17.0 0.99840 3.08      0.67
##  [678,]                12.0                 31.0 0.99790 3.40      0.48
##  [679,]                45.0                 87.0 0.99830 3.48      0.53
##  [680,]                20.0                 49.0 0.99720 3.13      0.54
##  [681,]                15.0                 40.0 1.00040 3.06      0.49
##  [682,]                16.0                 29.0 0.99620 3.21      0.49
##  [683,]                32.0                 58.0 0.99800 3.33      0.54
##  [684,]                 5.0                 15.0 0.99700 3.37      0.56
##  [685,]                35.0                152.0 0.99800 3.25      0.48
##  [686,]                 5.0                 15.0 0.99700 3.37      0.56
##  [687,]                13.0                 40.0 0.99700 3.44      0.60
##  [688,]                13.0                 38.0 0.99980 3.28      0.59
##  [689,]                 4.0                  9.0 0.99620 3.40      0.47
##  [690,]                 5.0                 17.0 0.99760 3.30      1.05
##  [691,]                 5.0                 14.0 0.99660 3.63      0.54
##  [692,]                12.0                 93.0 0.99980 3.48      0.54
##  [693,]                16.0                 62.0 0.99790 3.03      1.17
##  [694,]                21.0                122.0 0.99840 3.32      0.62
##  [695,]                24.0                125.0 0.99840 3.31      0.61
##  [696,]                18.0                 44.0 0.99210 3.90      0.62
##  [697,]                 8.0                 25.0 0.99720 3.47      0.67
##  [698,]                 8.0                 25.0 0.99720 3.47      0.67
##  [699,]                18.0                 72.0 1.00010 3.31      0.53
##  [700,]                 5.0                 19.0 0.99860 3.11      0.62
##  [701,]                26.0                 88.0 0.99840 3.08      0.57
##  [702,]                 8.0                 25.0 0.99720 3.47      0.67
##  [703,]                 9.0                 23.0 0.99700 3.47      0.67
##  [704,]                22.0                 84.0 0.99720 3.32      0.70
##  [705,]                 4.0                 14.0 0.99800 3.29      0.54
##  [706,]                11.0                 54.0 0.99900 3.37      0.49
##  [707,]                10.0                 19.0 0.99560 3.40      0.47
##  [708,]                16.0                 37.0 0.99660 3.37      0.51
##  [709,]                11.0                 35.0 0.99600 3.34      0.61
##  [710,]                13.0                 33.0 0.99830 3.27      0.66
##  [711,]                21.0                 84.0 0.99850 3.06      0.57
##  [712,]                16.0                112.0 0.99980 3.38      0.61
##  [713,]                13.0                 33.0 0.99920 3.36      0.45
##  [714,]                10.0                 48.0 0.99760 3.34      0.46
##  [715,]                21.0                 77.0 0.99800 3.28      0.51
##  [716,]                13.0                 34.0 0.99670 3.29      0.48
##  [717,]                10.0                 48.0 0.99760 3.34      0.46
##  [718,]                12.0                 49.0 0.99680 3.21      0.57
##  [719,]                10.0                 22.0 0.99760 3.22      0.44
##  [720,]                17.0                 45.0 0.99760 3.46      0.54
##  [721,]                10.0                 22.0 0.99760 3.22      0.44
##  [722,]                35.0                106.0 0.99820 3.10      0.53
##  [723,]                15.0                 48.0 0.99680 3.21      0.59
##  [724,]                36.0                127.0 0.99650 2.94      1.62
##  [725,]                 5.0                 12.0 0.99580 3.54      0.60
##  [726,]                 5.0                 13.0 0.99760 3.29      0.55
##  [727,]                18.0                 49.0 0.99940 3.43      0.72
##  [728,]                 4.0                 11.0 0.99700 3.46      0.68
##  [729,]                 4.0                 11.0 0.99700 3.46      0.68
##  [730,]                27.0                 58.0 0.99500 3.61      0.49
##  [731,]                12.0                 37.0 0.99820 3.17      0.67
##  [732,]                 4.0                 14.0 0.99940 3.44      0.52
##  [733,]                10.0                 19.0 0.99660 3.39      0.47
##  [734,]                16.0                 72.0 0.99800 3.55      0.60
##  [735,]                 9.0                 39.0 0.99870 3.48      0.62
##  [736,]                11.0                 22.0 0.99630 3.26      0.50
##  [737,]                11.0                 22.0 0.99630 3.26      0.50
##  [738,]                19.0                 58.0 1.00020 3.50      0.65
##  [739,]                28.0                104.0 0.99830 3.10      0.56
##  [740,]                19.0                 38.0 0.99900 3.35      0.60
##  [741,]                12.0                 16.0 0.99650 3.45      0.68
##  [742,]                28.0                139.0 0.99788 3.21      0.57
##  [743,]                 9.0                 18.0 0.99720 3.46      0.65
##  [744,]                25.0                101.0 1.00024 3.13      0.53
##  [745,]                21.0                101.0 1.00010 3.13      0.51
##  [746,]                12.0                 28.0 0.99768 3.52      0.73
##  [747,]                12.0                 57.0 0.99780 3.30      0.47
##  [748,]                16.0                 68.0 0.99782 3.30      0.48
##  [749,]                12.0                 31.0 0.99761 3.52      0.72
##  [750,]                12.0                 28.0 0.99768 3.52      0.73
##  [751,]                17.0                 40.0 0.99803 3.29      0.55
##  [752,]                17.0                 40.0 0.99803 3.29      0.55
##  [753,]                24.0                 66.0 0.99785 3.39      0.61
##  [754,]                17.0                 40.0 0.99803 3.29      0.55
##  [755,]                14.0                 32.0 0.99656 3.09      1.06
##  [756,]                22.0                 47.0 0.99525 3.51      0.43
##  [757,]                15.0                 33.0 0.99488 3.60      0.46
##  [758,]                10.0                 31.0 0.99656 3.25      0.50
##  [759,]                10.0                 31.0 0.99656 3.25      0.50
##  [760,]                33.0                 88.0 0.99823 3.19      0.52
##  [761,]                 9.0                104.0 0.99779 3.23      0.57
##  [762,]                 5.0                 35.0 0.99738 3.25      0.42
##  [763,]                 8.0                 19.0 0.99701 3.31      0.53
##  [764,]                 5.0                 35.0 0.99738 3.25      0.42
##  [765,]                11.0                 44.0 0.99888 3.31      0.55
##  [766,]                12.0                 48.0 0.99888 3.31      0.54
##  [767,]                12.0                 74.0 0.99738 3.14      0.54
##  [768,]                13.0                 98.0 0.99938 3.45      0.62
##  [769,]                24.0                 94.0 0.99744 3.55      0.53
##  [770,]                 7.0                 32.0 0.99668 3.39      0.54
##  [771,]                24.0                 94.0 0.99744 3.55      0.53
##  [772,]                23.0                143.0 0.99780 3.28      0.55
##  [773,]                23.0                144.0 0.99782 3.27      0.55
##  [774,]                 1.0                 44.0 0.99730 3.30      0.92
##  [775,]                 2.0                 45.0 0.99727 3.31      0.91
##  [776,]                 7.0                 16.0 0.99586 3.43      0.46
##  [777,]                 5.5                 48.0 0.99612 3.40      0.60
##  [778,]                 6.0                 18.0 0.99610 3.40      0.59
##  [779,]                 7.0                 34.0 0.99788 3.36      0.61
##  [780,]                21.0                 92.0 0.99745 3.50      0.60
##  [781,]                12.0                 45.0 0.99676 3.31      0.60
##  [782,]                 9.0                 37.0 0.99732 3.66      0.65
##  [783,]                26.0                 96.0 0.99814 3.36      0.53
##  [784,]                 9.0                 37.0 0.99732 3.66      0.65
##  [785,]                20.0                 85.0 0.99746 3.55      0.59
##  [786,]                11.0                 61.0 0.99820 3.21      0.50
##  [787,]                11.0                 61.0 0.99820 3.21      0.50
##  [788,]                19.0                 58.0 0.99910 3.18      0.56
##  [789,]                19.0                 58.0 0.99910 3.18      0.56
##  [790,]                21.0                119.0 0.99800 3.09      0.52
##  [791,]                18.0                 82.0 0.99708 3.33      0.68
##  [792,]                25.0                130.0 0.99818 3.23      0.54
##  [793,]                17.0                 87.0 0.99745 3.48      0.60
##  [794,]                 7.0                 13.0 0.99639 3.38      0.56
##  [795,]                 7.0                 26.0 0.99531 3.17      0.53
##  [796,]                 7.0                 60.0 0.99786 2.99      1.18
##  [797,]                24.0                 64.0 0.99746 3.10      0.74
##  [798,]                21.0                 42.0 0.99526 3.24      0.81
##  [799,]                 5.0                 14.0 0.99870 3.29      0.52
##  [800,]                 5.0                 14.0 0.99870 3.29      0.52
##  [801,]                26.0                108.0 0.99641 3.25      0.51
##  [802,]                 8.0                 17.0 0.99735 3.23      0.44
##  [803,]                14.0                 86.0 0.99264 3.56      0.94
##  [804,]                14.0                 46.0 0.99710 3.24      0.66
##  [805,]                 4.0                 18.0 0.99682 3.26      0.57
##  [806,]                 4.0                 10.0 0.99356 3.33      0.70
##  [807,]                 4.0                 10.0 0.99386 3.27      0.71
##  [808,]                 4.0                 10.0 0.99356 3.33      0.70
##  [809,]                 4.0                 12.0 0.99702 3.26      0.86
##  [810,]                 4.0                 15.0 0.99693 3.22      0.55
##  [811,]                 4.0                 14.0 0.99562 3.30      0.47
##  [812,]                 7.0                 24.0 1.00012 3.09      0.68
##  [813,]                20.0                 38.0 0.99818 3.24      0.71
##  [814,]                 4.0                  7.0 0.99462 3.44      0.58
##  [815,]                19.0                 41.0 0.99939 3.21      0.76
##  [816,]                20.0                 38.0 0.99818 3.24      0.71
##  [817,]                 8.0                 30.0 0.99840 3.23      0.58
##  [818,]                19.0                 27.0 0.99545 3.28      0.73
##  [819,]                21.0                 47.0 0.99632 3.29      0.45
##  [820,]                 9.0                 59.0 0.99976 3.28      0.54
##  [821,]                 9.0                 22.0 0.99606 3.34      0.60
##  [822,]                16.0                 42.0 0.99154 3.71      0.74
##  [823,]                15.0                 36.0 0.99730 3.61      0.64
##  [824,]                15.0                 36.0 0.99730 3.61      0.64
##  [825,]                 6.0                 16.0 0.99682 3.24      0.53
##  [826,]                15.0                 37.0 0.99624 3.36      0.49
##  [827,]                 4.0                  8.0 0.99510 3.40      0.64
##  [828,]                15.0                 37.0 0.99624 3.36      0.49
##  [829,]                34.0                 45.0 0.99417 3.46      0.74
##  [830,]                16.0                 24.0 0.99376 3.56      0.77
##  [831,]                 5.0                  9.0 0.99632 3.38      0.55
##  [832,]                16.0                 24.0 0.99376 3.56      0.77
##  [833,]                34.0                 48.0 0.99832 3.38      0.86
##  [834,]                36.0                 51.0 0.99836 3.38      0.86
##  [835,]                16.0                 23.0 0.99694 3.32      0.47
##  [836,]                27.0                 55.0 0.99655 3.39      0.51
##  [837,]                36.0                100.0 0.99064 3.26      0.39
##  [838,]                36.0                100.0 0.99064 3.26      0.39
##  [839,]                 9.0                 28.0 0.99672 3.24      0.83
##  [840,]                13.0                 26.0 0.99647 3.46      0.47
##  [841,]                 9.0                 34.0 0.99736 3.24      0.77
##  [842,]                21.0                 31.0 0.99629 3.45      0.63
##  [843,]                34.0                 68.0 0.99708 3.23      0.72
##  [844,]                 9.0                 92.0 0.99630 3.28      0.62
##  [845,]                26.0                 42.0 0.99590 3.18      0.83
##  [846,]                14.0                 31.0 0.99689 3.59      0.66
##  [847,]                14.0                 31.0 0.99689 3.59      0.66
##  [848,]                12.0                 39.0 0.99770 3.50      0.70
##  [849,]                14.0                 31.0 0.99689 3.59      0.66
##  [850,]                12.0                 32.0 0.99689 3.58      0.66
##  [851,]                 9.0                 22.0 0.99708 3.28      0.55
##  [852,]                 9.0                 22.0 0.99708 3.28      0.55
##  [853,]                26.0                122.0 0.99801 3.22      1.07
##  [854,]                41.0                 55.0 0.99652 3.47      0.73
##  [855,]                41.0                 55.0 0.99652 3.47      0.73
##  [856,]                10.0                 14.0 0.99538 3.51      0.71
##  [857,]                41.0                 55.0 0.99652 3.47      0.73
##  [858,]                16.0                 47.0 0.99594 3.40      0.78
##  [859,]                17.0                 32.0 0.99686 3.15      0.67
##  [860,]                15.0                 24.0 0.99438 3.40      0.82
##  [861,]                15.0                 85.0 0.99746 3.51      0.54
##  [862,]                15.0                 88.0 0.99357 3.66      0.60
##  [863,]                 7.0                 25.0 0.99628 3.24      0.44
##  [864,]                17.0                 84.0 0.99746 3.51      0.53
##  [865,]                15.0                 85.0 0.99746 3.51      0.54
##  [866,]                16.0                 86.0 0.99748 3.51      0.54
##  [867,]                13.0                 24.0 0.99438 3.41      0.83
##  [868,]                13.0                 22.0 0.99438 3.40      0.84
##  [869,]                15.0                 24.0 0.99438 3.40      0.82
##  [870,]                27.0                 43.0 0.99578 3.44      0.64
##  [871,]                31.0                 43.0 0.99371 3.41      0.57
##  [872,]                36.0                 46.0 0.99522 3.53      0.57
##  [873,]                28.0                 48.0 0.99576 3.43      0.54
##  [874,]                 6.0                 10.0 0.99552 3.23      0.58
##  [875,]                 6.0                 10.0 0.99664 3.12      0.65
##  [876,]                 7.0                 16.0 0.99614 3.31      0.79
##  [877,]                 7.0                 14.0 0.99517 3.40      0.58
##  [878,]                31.0                 43.0 0.99371 3.41      0.57
##  [879,]                30.0                 69.0 0.99787 3.22      0.50
##  [880,]                18.0                 88.0 0.99745 3.53      0.55
##  [881,]                10.0                 21.0 0.99576 3.15      0.49
##  [882,]                30.0                 35.0 0.99533 3.48      0.65
##  [883,]                14.0                 26.0 0.99536 3.22      0.78
##  [884,]                18.0                 88.0 0.99745 3.53      0.55
##  [885,]                30.0                 69.0 0.99787 3.22      0.50
##  [886,]                 9.0                 30.0 0.99824 3.34      0.64
##  [887,]                 8.0                 28.0 0.99836 3.33      0.65
##  [888,]                29.0                 56.0 0.99577 3.15      0.79
##  [889,]                32.0                 64.0 0.99491 3.43      0.56
##  [890,]                23.0                 99.0 1.00289 3.22      0.68
##  [891,]                30.0                 52.0 0.99576 3.44      0.58
##  [892,]                16.0                 86.0 0.99743 3.53      0.57
##  [893,]                10.0                 18.0 0.99774 3.22      0.65
##  [894,]                16.0                 86.0 0.99743 3.53      0.57
##  [895,]                17.0                 88.0 0.99745 3.53      0.58
##  [896,]                27.0                 43.0 0.99550 3.42      0.58
##  [897,]                17.0                 43.0 0.99444 3.31      0.77
##  [898,]                27.0                 43.0 0.99550 3.42      0.58
##  [899,]                17.0                 43.0 0.99444 3.31      0.77
##  [900,]                 6.0                 11.0 0.99892 3.48      0.49
##  [901,]                10.0                 39.0 0.99562 3.40      0.69
##  [902,]                16.0                 33.0 0.99736 3.58      0.69
##  [903,]                16.0                 33.0 0.99736 3.58      0.69
##  [904,]                11.0                 18.0 0.99620 3.41      0.59
##  [905,]                11.0                 18.0 0.99620 3.41      0.59
##  [906,]                15.0                115.0 0.99800 3.23      0.59
##  [907,]                12.0                 78.0 0.99640 3.39      0.71
##  [908,]                 6.0                  9.0 0.99480 3.59      0.54
##  [909,]                34.0                 61.0 0.99528 3.43      0.59
##  [910,]                 7.0                 11.0 0.99331 3.29      0.52
##  [911,]                 3.0                 11.0 0.99577 3.23      0.57
##  [912,]                 3.0                  9.0 0.99901 3.18      0.60
##  [913,]                 4.0                  8.0 0.99674 3.33      0.62
##  [914,]                 3.0                 10.0 0.99639 3.27      0.64
##  [915,]                 7.0                 11.0 0.99331 3.29      0.52
##  [916,]                 3.0                  6.0 0.99512 3.27      0.67
##  [917,]                 7.0                 62.0 0.99395 3.62      0.61
##  [918,]                26.0                 45.0 0.99824 3.38      0.64
##  [919,]                32.0                 79.0 0.99640 3.30      0.72
##  [920,]                38.0                 46.0 0.99504 3.38      0.89
##  [921,]                10.0                 23.0 0.99786 3.24      0.56
##  [922,]                32.0                 79.0 0.99640 3.30      0.72
##  [923,]                38.0                 46.0 0.99504 3.38      0.89
##  [924,]                26.0                 45.0 0.99824 3.38      0.64
##  [925,]                14.0                 28.0 0.99516 3.18      0.80
##  [926,]                53.0                 77.0 0.99604 3.47      0.87
##  [927,]                52.0                 73.0 0.99786 3.47      0.90
##  [928,]                11.0                 75.0 0.99736 3.20      0.59
##  [929,]                14.0                 28.0 0.99516 3.18      0.80
##  [930,]                10.0                 19.0 0.99468 3.30      0.73
##  [931,]                 8.0                 25.0 0.99746 3.69      0.73
##  [932,]                13.0                 38.0 0.99748 3.48      0.65
##  [933,]                29.0                 66.0 0.99710 3.45      0.59
##  [934,]                13.0                 38.0 0.99748 3.48      0.65
##  [935,]                 8.0                 25.0 0.99746 3.69      0.73
##  [936,]                19.0                 72.0 0.99543 3.39      0.72
##  [937,]                19.0                 72.0 0.99543 3.39      0.72
##  [938,]                 6.0                 26.0 0.99791 3.07      0.60
##  [939,]                23.0                 42.0 0.99356 3.34      0.72
##  [940,]                 7.0                 11.0 0.99425 3.61      0.54
##  [941,]                13.0                 25.0 0.99509 3.36      0.76
##  [942,]                 9.0                 17.0 0.99484 3.19      0.52
##  [943,]                13.0                 52.0 0.99834 3.22      0.64
##  [944,]                10.0                 45.0 0.99864 3.24      0.60
##  [945,]                11.0                 24.0 0.99498 3.27      0.64
##  [946,]                 7.0                 20.0 0.99566 3.14      0.79
##  [947,]                11.0                 24.0 0.99745 3.29      0.99
##  [948,]                 6.0                 12.0 0.99408 3.26      0.62
##  [949,]                10.0                 21.0 0.99552 3.41      0.76
##  [950,]                10.0                 21.0 0.99552 3.41      0.76
##  [951,]                10.0                 21.0 0.99552 3.41      0.76
##  [952,]                 6.0                 12.0 0.99408 3.26      0.62
##  [953,]                 6.0                 10.0 0.99536 3.31      0.68
##  [954,]                 5.0                  9.0 0.99458 3.20      0.69
##  [955,]                 6.0                 11.0 0.99538 3.44      0.54
##  [956,]                 9.0                 23.0 0.99648 3.36      0.67
##  [957,]                 5.0                 10.0 0.99568 3.31      0.62
##  [958,]                12.0                 51.0 0.99613 3.29      0.58
##  [959,]                25.0                 36.0 0.99519 3.47      0.71
##  [960,]                12.0                 32.0 0.99735 3.36      0.61
##  [961,]                18.0                 38.0 0.99518 3.16      0.85
##  [962,]                 7.0                 18.0 0.99592 3.27      0.62
##  [963,]                 6.0                 16.0 0.99654 3.38      0.69
##  [964,]                20.0                 27.0 0.99546 3.15      0.69
##  [965,]                18.0                 38.0 0.99518 3.16      0.85
##  [966,]                24.0                 48.0 0.99554 3.34      0.86
##  [967,]                 6.0                 10.0 0.99604 3.13      0.58
##  [968,]                23.0                113.0 0.99733 3.13      0.48
##  [969,]                29.0                 46.0 0.99430 3.20      0.60
##  [970,]                 7.0                 22.0 0.99669 3.46      0.61
##  [971,]                 6.0                 10.0 0.99724 3.33      0.87
##  [972,]                 6.0                 10.0 0.99724 3.33      0.87
##  [973,]                 6.0                 13.0 0.99643 3.22      0.65
##  [974,]                 6.0                 12.0 0.99605 3.52      0.63
##  [975,]                 7.0                 13.0 0.99658 3.30      0.62
##  [976,]                35.0                 72.0 0.99700 3.44      0.52
##  [977,]                35.0                 72.0 0.99700 3.44      0.52
##  [978,]                31.0                119.0 0.99801 3.15      0.50
##  [979,]                 9.0                 29.0 0.99416 3.28      0.49
##  [980,]                 3.0                  6.0 0.99690 3.13      0.63
##  [981,]                 8.0                 17.0 0.99774 3.32      0.71
##  [982,]                13.0                 28.0 0.99712 3.25      0.62
##  [983,]                51.0                 70.0 0.99418 3.34      0.82
##  [984,]                 8.0                 17.0 0.99774 3.32      0.71
##  [985,]                 3.0                  6.0 0.99690 3.13      0.63
##  [986,]                 7.0                 11.0 0.99562 3.45      0.58
##  [987,]                 3.0                  7.0 0.99470 3.19      0.55
##  [988,]                35.0                 70.0 0.99693 3.44      0.50
##  [989,]                19.0                 27.0 0.99596 3.16      0.49
##  [990,]                14.0                 21.0 0.99556 3.14      0.51
##  [991,]                19.0                 27.0 0.99596 3.16      0.49
##  [992,]                31.0                 68.0 0.99694 3.45      0.48
##  [993,]                30.0                 47.0 0.99554 3.36      0.48
##  [994,]                31.0                 68.0 0.99694 3.45      0.48
##  [995,]                20.0                 88.0 0.99918 3.15      0.43
##  [996,]                19.0                 41.0 0.99697 3.39      0.62
##  [997,]                 3.0                 11.0 0.99378 3.71      0.63
##  [998,]                 3.0                 11.0 0.99378 3.71      0.63
##  [999,]                 4.0                 10.0 0.99554 3.12      0.48
## [1000,]                 7.0                 12.0 0.99162 3.47      0.53
## [1001,]                 6.0                 12.0 0.99495 3.44      0.72
## [1002,]                31.0                 47.0 0.99676 3.26      0.82
## [1003,]                13.0                 27.0 0.99516 3.26      0.84
## [1004,]                 4.0                  8.0 0.99280 3.36      0.55
## [1005,]                27.0                 45.0 0.99603 3.25      0.54
## [1006,]                 4.0                  8.0 0.99280 3.36      0.55
## [1007,]                13.0                 27.0 0.99516 3.26      0.84
## [1008,]                12.0                 25.0 0.99516 3.26      0.84
## [1009,]                12.0                 24.0 0.99549 3.23      0.70
## [1010,]                26.0                 55.0 0.99722 3.18      0.68
## [1011,]                 7.0                 12.0 0.99354 3.25      0.55
## [1012,]                12.0                 19.0 0.99570 3.17      0.55
## [1013,]                11.0                 32.0 0.99604 3.23      0.48
## [1014,]                22.0                 31.0 0.99635 3.38      0.58
## [1015,]                 3.0                  7.0 0.99454 3.22      0.58
## [1016,]                14.0                 27.0 0.99598 3.06      0.84
## [1017,]                12.0                 28.0 0.99486 3.27      0.75
## [1018,]                36.0                109.0 0.99007 2.89      0.44
## [1019,]                36.0                109.0 0.99007 2.89      0.44
## [1020,]                10.0                 23.0 0.99636 3.53      0.61
## [1021,]                 3.0                  8.0 0.99642 3.20      0.53
## [1022,]                 3.0                  8.0 0.99642 3.20      0.53
## [1023,]                 4.0                  9.0 0.99584 3.35      0.54
## [1024,]                 3.0                  9.0 0.99506 3.27      0.55
## [1025,]                12.0                 18.0 0.99568 3.32      0.56
## [1026,]                17.0                 43.0 0.99822 3.33      0.60
## [1027,]                14.0                 36.0 0.99364 3.41      0.56
## [1028,]                28.0                 52.0 0.99378 3.49      0.52
## [1029,]                41.0                 68.0 0.99586 3.37      0.54
## [1030,]                12.0                 18.0 0.99568 3.32      0.56
## [1031,]                 9.0                 14.0 0.99488 3.42      0.55
## [1032,]                 9.0                 15.0 0.99514 3.35      0.58
## [1033,]                 5.0                 14.0 0.99854 3.36      0.53
## [1034,]                14.0                 27.0 0.99592 3.30      0.59
## [1035,]                15.0                 48.0 0.99739 3.20      0.47
## [1036,]                 5.0                 17.0 0.99683 3.17      0.65
## [1037,]                26.0                 35.0 0.99356 3.22      0.59
## [1038,]                20.0                 56.0 0.99672 3.35      0.56
## [1039,]                25.0                 42.0 0.99530 3.24      0.77
## [1040,]                21.0                 39.0 0.99692 3.33      0.83
## [1041,]                16.0                 32.0 0.99756 3.58      0.67
## [1042,]                13.0                 26.0 0.99547 3.38      0.64
## [1043,]                21.0                 39.0 0.99692 3.33      0.83
## [1044,]                18.0                 39.0 0.99859 3.29      0.81
## [1045,]                12.0                 53.0 0.99294 3.36      0.62
## [1046,]                32.0                 38.0 0.99438 3.32      0.58
## [1047,]                33.0                 45.0 0.99612 3.31      0.62
## [1048,]                27.0                 51.0 0.99634 3.49      0.64
## [1049,]                 3.0                 14.0 0.99702 3.27      0.78
## [1050,]                 6.0                 17.0 0.99704 3.27      0.77
## [1051,]                27.0                 51.0 0.99634 3.49      0.64
## [1052,]                16.0                 45.0 0.99702 3.03      1.34
## [1053,]                19.0                 25.0 0.99258 3.56      0.55
## [1054,]                 9.0                 20.0 0.99426 3.38      0.77
## [1055,]                 5.0                 77.0 0.99747 3.13      0.62
## [1056,]                 5.0                 77.0 0.99747 3.13      0.62
## [1057,]                 3.0                 10.0 0.99586 3.21      0.59
## [1058,]                28.0                 90.0 0.99784 3.15      0.57
## [1059,]                30.0                 52.0 0.99710 3.19      0.76
## [1060,]                 3.0                 10.0 0.99586 3.21      0.59
## [1061,]                 3.0                  8.0 0.99810 3.14      0.70
## [1062,]                 7.0                 16.0 0.99462 3.21      0.69
## [1063,]                 6.0                 15.0 0.99560 3.30      0.64
## [1064,]                 6.0                 17.0 0.99565 3.22      0.63
## [1065,]                 5.0                 10.0 0.99418 3.28      0.57
## [1066,]                 6.0                 20.0 0.99630 3.29      0.60
## [1067,]                13.0                 26.0 0.99358 3.40      0.72
## [1068,]                 3.0                 10.0 0.99572 3.02      0.83
## [1069,]                 3.0                 10.0 0.99572 3.02      0.83
## [1070,]                28.0                 52.0 0.99700 3.31      0.62
## [1071,]                19.0                 37.0 0.99498 3.18      0.89
## [1072,]                30.0                 92.0 0.99892 3.20      0.58
## [1073,]                33.0                 75.0 0.99680 3.40      0.58
## [1074,]                16.0                 37.0 0.99720 3.31      0.58
## [1075,]                30.0                 92.0 0.99892 3.20      0.58
## [1076,]                45.0                 67.0 0.99769 3.44      0.86
## [1077,]                 3.0                  8.0 0.99534 3.15      0.73
## [1078,]                 3.0                  8.0 0.99817 3.27      0.58
## [1079,]                 3.0                  8.0 0.99817 3.27      0.58
## [1080,]                37.5                278.0 0.99316 3.01      0.51
## [1081,]                 3.0                  8.0 0.99471 3.16      0.51
## [1082,]                37.5                289.0 0.99316 3.01      0.51
## [1083,]                31.0                 70.0 0.99685 3.42      0.59
## [1084,]                32.0                 59.0 0.99617 3.33      0.77
## [1085,]                31.0                 70.0 0.99685 3.42      0.59
## [1086,]                40.0                 64.0 0.99529 3.12      0.49
## [1087,]                 3.0                  9.0 0.99738 3.38      0.66
## [1088,]                18.0                 30.0 0.99400 3.29      0.69
## [1089,]                22.0                 41.0 0.99735 3.02      0.76
## [1090,]                22.0                 41.0 0.99735 3.02      0.76
## [1091,]                42.0                 74.0 0.99451 2.98      0.63
## [1092,]                 8.0                 19.0 0.99546 3.35      0.60
## [1093,]                10.0                 16.0 0.99479 3.43      0.59
## [1094,]                11.0                 31.0 0.99615 3.33      0.86
## [1095,]                 9.0                 17.0 0.99655 3.35      0.49
## [1096,]                 6.0                 20.0 0.99772 3.15      0.50
## [1097,]                 9.0                 17.0 0.99655 3.35      0.49
## [1098,]                 5.0                 18.0 0.99666 3.20      0.52
## [1099,]                 5.0                 16.0 0.99358 3.15      0.81
## [1100,]                 5.0                 18.0 0.99666 3.20      0.52
## [1101,]                23.0                 36.0 0.99392 3.11      0.78
## [1102,]                14.0                 25.0 0.99388 3.35      0.63
## [1103,]                18.0                 30.0 0.99402 3.45      0.54
## [1104,]                14.0                 25.0 0.99388 3.35      0.63
## [1105,]                16.0                 25.0 0.99360 3.28      0.66
## [1106,]                13.0                 49.0 0.99374 3.41      0.60
## [1107,]                 9.0                 17.0 0.99376 3.21      0.54
## [1108,]                10.0                 24.0 0.99523 3.27      0.85
## [1109,]                 4.0                 13.0 0.99855 3.36      0.49
## [1110,]                27.0                 66.0 0.99820 3.17      0.76
## [1111,]                 6.0                 14.0 0.99593 3.25      0.64
## [1112,]                23.0                 55.0 0.99471 3.78      0.64
## [1113,]                 6.0                 35.0 0.99396 3.29      0.71
## [1114,]                 3.0                 10.0 0.99698 3.12      0.59
## [1115,]                29.0                 80.0 0.99020 3.49      0.66
## [1116,]                15.0                 21.0 0.99572 3.38      0.60
## [1117,]                15.0                 21.0 0.99572 3.38      0.60
## [1118,]                15.0                 21.0 0.99572 3.38      0.60
## [1119,]                14.0                 24.0 0.99252 3.30      0.53
## [1120,]                 7.0                 15.0 0.99256 3.52      0.58
## [1121,]                 8.0                 17.0 0.99235 3.20      0.72
## [1122,]                21.0                 28.0 0.99352 3.44      0.55
## [1123,]                27.0                 33.0 0.99220 3.45      0.48
## [1124,]                17.0                 29.0 0.99674 3.12      0.65
## [1125,]                 3.0                 13.0 0.99557 3.62      0.62
## [1126,]                13.0                 27.0 0.99394 3.14      0.59
## [1127,]                 3.0                 11.0 0.99150 3.39      0.54
## [1128,]                26.0                 52.0 0.99379 3.51      0.60
## [1129,]                28.0                 89.0 0.99840 3.22      0.68
## [1130,]                24.0                 70.0 0.99798 3.21      0.69
## [1131,]                 5.0                 10.0 0.99770 3.18      0.63
## [1132,]                57.0                135.0 0.99341 3.32      0.44
## [1133,]                18.0                 38.0 0.99330 3.38      0.88
## [1134,]                10.0                 18.0 0.99684 3.37      0.68
## [1135,]                 6.0                 15.0 0.99524 3.30      0.74
## [1136,]                22.0                 50.0 0.99460 3.38      0.60
## [1137,]                 6.0                 13.0 0.99774 3.22      0.76
## [1138,]                 6.0                 13.0 0.99774 3.22      0.76
## [1139,]                29.0                 94.0 0.99786 3.14      0.58
## [1140,]                16.0                 86.0 0.99764 3.34      0.64
## [1141,]                33.0                 79.0 0.99690 3.41      0.65
## [1142,]                24.0                 71.0 0.99624 3.27      0.85
## [1143,]                 6.0                 12.0 0.99354 3.30      0.65
## [1144,]                16.0                 20.0 0.99672 3.61      0.82
## [1145,]                35.0                 70.0 0.99588 3.43      0.62
## [1146,]                31.0                 51.0 0.99672 3.53      0.81
## [1147,]                 6.0                 21.0 0.99600 3.28      0.87
## [1148,]                 6.0                 14.0 0.99702 3.21      0.49
## [1149,]                 9.0                 21.0 0.99526 3.39      0.66
## [1150,]                 6.0                 11.0 0.99585 3.23      0.52
## [1151,]                 4.0                 12.0 0.99473 3.30      0.76
## [1152,]                16.0                 70.0 0.99352 3.46      0.65
## [1153,]                 9.0                 38.0 0.99616 3.15      0.53
## [1154,]                17.0                 38.0 0.99622 3.23      0.66
## [1155,]                50.0                 63.0 0.99544 3.59      0.68
## [1156,]                 9.0                 38.0 0.99616 3.15      0.53
## [1157,]                45.0                 88.0 0.99524 3.33      0.76
## [1158,]                16.0                101.0 0.99240 3.46      0.87
## [1159,]                22.0                 54.0 0.99572 3.42      1.16
## [1160,]                11.0                 37.0 0.99728 3.16      0.67
## [1161,]                 6.0                 20.0 0.99676 3.14      0.72
## [1162,]                12.0                 21.0 0.99551 3.21      0.75
## [1163,]                12.0                 19.0 0.99434 3.14      0.71
## [1164,]                10.0                 21.0 0.99692 3.29      0.67
## [1165,]                10.0                 21.0 0.99692 3.29      0.67
## [1166,]                15.0                 38.0 0.99634 3.01      1.10
## [1167,]                 7.0                 60.0 0.99709 2.94      0.98
## [1168,]                29.0                 48.0 0.99528 3.32      0.88
## [1169,]                 8.0                 44.0 0.99384 3.21      0.56
## [1170,]                 5.0                 14.0 0.99502 3.32      0.62
## [1171,]                 5.0                 12.0 0.99667 3.20      0.67
## [1172,]                26.0                 44.0 0.99522 3.42      0.68
## [1173,]                 5.0                 16.0 0.99649 3.27      0.74
## [1174,]                26.0                 65.0 0.99716 3.46      0.62
## [1175,]                26.0                 65.0 0.99716 3.46      0.62
## [1176,]                48.0                 59.0 0.99541 3.61      0.70
## [1177,]                23.0                 47.0 0.99572 3.58      0.50
## [1178,]                 6.0                 11.0 0.99318 3.35      0.66
## [1179,]                17.0                 78.0 0.99346 3.68      0.73
## [1180,]                11.0                 47.0 0.99599 3.27      0.81
## [1181,]                11.0                 47.0 0.99599 3.27      0.81
## [1182,]                 5.0                 11.0 0.99478 3.19      0.46
## [1183,]                41.0                 54.0 0.99754 3.38      0.86
## [1184,]                16.0                 61.0 0.99572 3.29      0.60
## [1185,]                11.0                119.0 0.99538 3.36      0.70
## [1186,]                 6.0                 39.0 0.99346 3.33      0.46
## [1187,]                 6.0                 12.0 0.99630 3.52      0.50
## [1188,]                 6.0                 39.0 0.99346 3.33      0.46
## [1189,]                11.0                119.0 0.99538 3.36      0.70
## [1190,]                 5.0                 19.0 0.99616 3.30      0.44
## [1191,]                 6.0                 20.0 0.99652 3.28      0.57
## [1192,]                 6.0                 12.0 0.99551 3.56      0.51
## [1193,]                11.0                 41.0 0.99439 3.52      0.80
## [1194,]                 6.0                 12.0 0.99551 3.56      0.51
## [1195,]                15.0                 64.0 0.99588 3.22      0.59
## [1196,]                21.0                 56.0 0.99633 3.52      0.60
## [1197,]                23.0                 94.0 0.99686 3.21      0.58
## [1198,]                 4.0                  9.0 0.99458 3.16      0.54
## [1199,]                19.0                 77.0 0.99510 3.15      0.79
## [1200,]                23.0                 94.0 0.99686 3.21      0.58
## [1201,]                 4.0                  9.0 0.99458 3.16      0.54
## [1202,]                 5.0                 10.0 0.99419 3.27      0.54
## [1203,]                 6.0                 12.0 0.99516 3.35      0.69
## [1204,]                33.0                 76.0 0.99878 3.14      0.55
## [1205,]                24.0                 44.0 0.99534 3.40      0.85
## [1206,]                24.0                 44.0 0.99534 3.40      0.85
## [1207,]                24.0                 44.0 0.99534 3.40      0.85
## [1208,]                24.0                 52.0 0.99752 3.35      0.94
## [1209,]                24.0                 44.0 0.99534 3.40      0.85
## [1210,]                14.0                 24.0 0.99428 3.45      0.87
## [1211,]                 8.0                 15.0 0.99498 3.35      0.62
## [1212,]                22.0                 53.0 0.99570 3.32      0.62
## [1213,]                 8.0                 15.0 0.99498 3.35      0.62
## [1214,]                 5.0                 13.0 0.99659 3.15      0.75
## [1215,]                 6.0                  9.0 0.99628 3.10      0.48
## [1216,]                20.0                 29.0 0.99488 3.26      0.56
## [1217,]                10.0                 79.0 0.99677 3.29      0.69
## [1218,]                43.0                 74.0 0.99408 3.23      0.81
## [1219,]                 8.0                 24.0 0.99600 3.24      0.69
## [1220,]                25.0                 50.0 0.99478 3.20      0.83
## [1221,]                17.0                 44.0 0.99734 3.28      0.77
## [1222,]                17.0                 44.0 0.99734 3.28      0.77
## [1223,]                33.0                 89.0 0.99678 3.26      0.46
## [1224,]                 9.0                 23.0 0.99638 3.23      0.76
## [1225,]                 8.0                 20.0 0.99920 3.07      0.82
## [1226,]                18.0                 77.0 0.99922 3.15      0.51
## [1227,]                27.0                 46.0 0.99592 3.02      0.47
## [1228,]                 8.0                 21.0 0.99769 3.27      0.72
## [1229,]                18.0                 88.0 0.99157 3.68      0.73
## [1230,]                19.0                 66.0 0.99718 3.40      0.64
## [1231,]                15.0                 58.0 0.99470 3.37      0.78
## [1232,]                48.0                 90.0 0.99621 3.38      0.62
## [1233,]                19.0                 66.0 0.99718 3.40      0.64
## [1234,]                14.0                 36.0 0.99614 3.23      0.49
## [1235,]                11.0                 18.0 0.99242 3.39      0.40
## [1236,]                 6.0                113.0 0.99572 3.30      0.56
## [1237,]                 7.0                 17.0 0.99659 3.26      0.64
## [1238,]                11.0                 18.0 0.99242 3.39      0.40
## [1239,]                12.0                 24.0 0.99798 3.38      0.46
## [1240,]                11.0                 20.0 0.99488 3.45      0.56
## [1241,]                36.0                 60.0 0.99494 3.10      0.40
## [1242,]                28.0                 65.0 0.99729 3.16      0.59
## [1243,]                15.0                 40.0 0.99414 3.22      0.60
## [1244,]                10.0                 86.0 0.99830 3.37      0.62
## [1245,]                72.0                160.0 0.99721 3.33      0.54
## [1246,]                15.0                 34.0 0.99655 3.49      0.68
## [1247,]                15.0                 48.0 0.99502 3.12      0.48
## [1248,]                15.0                 34.0 0.99655 3.49      0.68
## [1249,]                22.0                 36.0 0.99490 3.41      0.75
## [1250,]                24.0                 37.0 0.99514 3.40      0.61
## [1251,]                24.0                 37.0 0.99514 3.40      0.61
## [1252,]                27.0                 60.0 0.99630 3.28      0.59
## [1253,]                 6.0                 14.0 0.99627 3.45      0.58
## [1254,]                 6.0                 13.0 0.99569 3.43      0.58
## [1255,]                20.0                 35.0 0.99628 3.40      0.69
## [1256,]                26.0                 46.0 0.99358 3.47      0.45
## [1257,]                43.0                 60.0 0.99499 3.10      0.42
## [1258,]                12.0                 69.0 0.99633 3.32      0.70
## [1259,]                15.0                 33.0 0.99538 3.44      0.63
## [1260,]                15.0                 33.0 0.99538 3.44      0.63
## [1261,]                19.0                 56.0 0.99632 3.02      1.15
## [1262,]                17.0                 24.0 0.99437 3.59      0.55
## [1263,]                34.0                 66.0 0.99726 3.15      0.58
## [1264,]                13.0                 26.0 0.99780 3.37      0.46
## [1265,]                26.0                 51.0 0.99456 3.38      0.72
## [1266,]                16.0                 36.0 0.99564 3.38      0.60
## [1267,]                16.0                 36.0 0.99564 3.38      0.60
## [1268,]                13.0                 19.0 0.99600 3.10      0.87
## [1269,]                21.0                 51.0 0.99668 3.47      0.55
## [1270,]                28.0                 87.0 0.99080 3.50      0.82
## [1271,]                26.0                 60.0 0.99084 3.70      0.75
## [1272,]                24.0                 64.0 0.99350 3.38      0.57
## [1273,]                25.0                 44.0 0.99385 3.50      0.53
## [1274,]                34.0                 44.0 0.99494 3.10      0.43
## [1275,]                17.0                 36.0 0.99440 3.24      0.53
## [1276,]                13.0                 81.0 0.99688 3.24      0.54
## [1277,]                 3.0                 10.0 0.99566 3.28      0.56
## [1278,]                 3.0                 10.0 0.99636 3.35      0.60
## [1279,]                13.0                 81.0 0.99688 3.24      0.54
## [1280,]                 3.0                  9.0 0.99480 3.14      0.57
## [1281,]                28.0                 54.0 0.99560 3.37      0.64
## [1282,]                28.0                 54.0 0.99560 3.37      0.64
## [1283,]                 9.0                 22.0 0.99619 3.33      0.68
## [1284,]                17.0                 69.0 0.99734 3.26      0.63
## [1285,]                18.0                 36.0 0.99476 3.39      0.56
## [1286,]                20.0                 47.0 0.99734 3.15      0.57
## [1287,]                17.0                 31.0 0.99328 3.35      0.54
## [1288,]                 3.0                  7.0 0.99286 3.22      0.37
## [1289,]                20.0                110.0 0.99914 3.30      1.17
## [1290,]                20.0                110.0 0.99914 3.30      1.17
## [1291,]                 6.0                 12.0 0.99521 3.36      0.59
## [1292,]                25.0                 60.0 0.99638 3.29      0.75
## [1293,]                14.0                 28.0 0.99362 3.62      0.67
## [1294,]                 6.0                 12.0 0.99672 3.34      0.49
## [1295,]                25.0                 60.0 0.99638 3.29      0.75
## [1296,]                51.0                 77.5 0.99558 3.20      0.45
## [1297,]                51.0                 77.5 0.99558 3.20      0.45
## [1298,]                15.0                 29.0 0.99323 3.35      0.61
## [1299,]                11.0                 18.0 0.99191 3.45      0.56
## [1300,]                 5.0                  9.0 0.99476 3.50      0.40
## [1301,]                15.0                 28.0 0.99444 3.78      0.61
## [1302,]                20.0                 57.0 0.99598 3.60      0.74
## [1303,]                 4.0                 15.0 0.99576 3.30      0.80
## [1304,]                28.0                 68.0 0.99501 3.36      0.66
## [1305,]                21.0                 68.0 0.99550 3.12      0.44
## [1306,]                24.0                 88.0 0.99612 3.30      0.53
## [1307,]                22.0                 91.0 0.99790 3.29      0.62
## [1308,]                15.0                 29.0 0.99524 3.41      0.52
## [1309,]                22.0                 91.0 0.99790 3.29      0.62
## [1310,]                27.0                 63.0 0.99600 3.28      0.61
## [1311,]                24.0                 88.0 0.99612 3.30      0.53
## [1312,]                12.0                 27.0 0.99290 3.33      0.59
## [1313,]                14.0                 41.0 0.99532 3.34      0.47
## [1314,]                20.0                 65.0 0.99558 3.40      0.54
## [1315,]                24.0                 69.0 0.99556 3.40      0.53
## [1316,]                17.0                 91.0 0.99616 3.26      0.58
## [1317,]                16.0                 46.0 0.99258 4.01      0.59
## [1318,]                10.0                 41.0 0.99638 3.18      0.69
## [1319,]                17.0                 91.0 0.99616 3.26      0.58
## [1320,]                18.0                 64.0 0.99652 2.90      1.33
## [1321,]                12.0                 88.0 0.99796 3.26      0.66
## [1322,]                16.0                 46.0 0.99258 4.01      0.59
## [1323,]                 9.0                 18.0 0.99392 3.18      0.55
## [1324,]                21.0                 55.0 0.99495 3.18      0.82
## [1325,]                18.0                 34.0 0.99480 3.39      0.60
## [1326,]                18.0                 34.0 0.99480 3.39      0.60
## [1327,]                18.0                 34.0 0.99480 3.39      0.60
## [1328,]                18.0                 34.0 0.99480 3.39      0.60
## [1329,]                13.0                 38.0 0.99550 3.34      0.52
## [1330,]                17.0                 91.0 0.99616 3.29      0.56
## [1331,]                17.0                 91.0 0.99616 3.29      0.56
## [1332,]                31.0                 67.0 0.99668 3.26      0.46
## [1333,]                 6.0                 25.0 0.99581 3.09      0.43
## [1334,]                12.0                 48.0 0.99760 3.18      0.51
## [1335,]                 4.0                 11.0 0.99608 3.39      0.52
## [1336,]                19.0                 40.0 0.99387 3.38      0.66
## [1337,]                15.0                 26.0 0.99448 3.36      0.45
## [1338,]                15.0                 26.0 0.99448 3.36      0.45
## [1339,]                15.0                 26.0 0.99448 3.36      0.45
## [1340,]                13.0                 31.0 0.99538 3.36      0.54
## [1341,]                13.0                 31.0 0.99538 3.36      0.54
## [1342,]                13.0                 31.0 0.99538 3.36      0.54
## [1343,]                17.0                 31.0 0.99589 3.37      0.51
## [1344,]                13.0                 31.0 0.99538 3.36      0.54
## [1345,]                 8.0                 20.0 0.99852 3.09      0.53
## [1346,]                10.0                 28.0 0.99613 3.25      0.53
## [1347,]                 5.0                 13.0 0.99472 3.52      0.56
## [1348,]                 7.0                 12.0 0.99587 3.34      0.39
## [1349,]                 7.0                 12.0 0.99587 3.34      0.39
## [1350,]                21.0                 41.0 0.99518 3.41      0.52
## [1351,]                32.0                 73.0 0.99654 3.34      0.57
## [1352,]                 8.0                 46.0 0.99332 3.32      0.51
## [1353,]                14.0                 57.0 0.99690 3.37      0.46
## [1354,]                14.0                 57.0 0.99690 3.37      0.46
## [1355,]                 7.0                 28.0 0.99568 3.35      0.52
## [1356,]                 5.0                 32.0 0.99464 3.36      0.44
## [1357,]                 4.0                 28.0 0.99464 3.36      0.44
## [1358,]                27.0                 67.0 0.99648 3.60      0.59
## [1359,]                52.0                 98.0 0.99736 3.28      0.50
## [1360,]                 6.0                 28.0 0.99704 3.07      0.65
## [1361,]                11.0                 38.0 0.99699 3.24      0.56
## [1362,]                13.0                 54.0 0.99724 3.36      0.54
## [1363,]                 6.0                 28.0 0.99704 3.07      0.65
## [1364,]                11.0                 63.0 0.99652 3.29      0.48
## [1365,]                10.0                 31.0 0.99500 3.46      0.53
## [1366,]                10.0                 42.0 0.99710 3.18      0.62
## [1367,]                10.0                 45.0 0.99576 3.24      0.50
## [1368,]                 9.0                105.0 0.99725 3.25      1.18
## [1369,]                16.0                 74.0 0.99656 3.27      0.50
## [1370,]                 4.0                  8.0 0.99396 3.33      0.37
## [1371,]                12.0                 66.0 0.99623 3.00      1.17
## [1372,]                 5.0                 14.0 0.99476 3.21      1.03
## [1373,]                12.0                 66.0 0.99623 3.00      1.17
## [1374,]                34.0                 89.0 0.99664 3.24      0.45
## [1375,]                16.0                 29.0 0.99471 3.32      0.51
## [1376,]                13.0                100.0 0.99586 3.26      0.52
## [1377,]                 7.0                 31.0 0.99460 3.11      0.46
## [1378,]                23.0                 74.0 0.99530 3.71      0.62
## [1379,]                10.0                 28.0 0.99609 3.29      0.51
## [1380,]                11.0                 35.0 0.99557 3.36      0.62
## [1381,]                11.0                 35.0 0.99557 3.36      0.62
## [1382,]                 4.0                 25.0 0.99534 3.38      0.45
## [1383,]                25.0                105.0 0.99613 3.30      0.49
## [1384,]                25.0                105.0 0.99613 3.30      0.49
## [1385,]                20.0                 84.0 0.99593 3.19      0.50
## [1386,]                34.0                 85.0 0.99668 3.19      0.42
## [1387,]                 8.0                 23.0 0.99610 3.30      0.58
## [1388,]                 8.0                 23.0 0.99610 3.30      0.58
## [1389,]                 7.0                 49.0 0.99718 3.35      0.68
## [1390,]                36.0                111.0 0.99524 3.10      0.53
## [1391,]                15.0                 33.0 0.99292 3.58      0.59
## [1392,]                 5.0                 33.0 0.99612 3.37      0.58
## [1393,]                 5.0                 12.0 0.99420 3.17      0.48
## [1394,]                19.0                 59.0 0.99612 3.30      0.48
## [1395,]                27.0                 73.0 0.99669 3.32      0.48
## [1396,]                 3.0                 12.0 0.99745 3.31      0.65
## [1397,]                 4.0                 11.0 0.99745 3.31      0.65
## [1398,]                17.0                104.0 0.99584 3.28      0.52
## [1399,]                13.0                 28.0 0.99660 3.52      0.62
## [1400,]                10.0                 24.0 0.99560 3.42      0.72
## [1401,]                33.0                141.0 0.99620 3.25      0.51
## [1402,]                33.0                141.0 0.99620 3.25      0.51
## [1403,]                 6.0                 24.0 0.99630 3.44      0.82
## [1404,]                 3.0                 13.0 0.99600 3.23      1.10
## [1405,]                12.0                 46.0 0.99850 3.43      0.62
## [1406,]                18.0                 34.0 0.99520 3.28      0.90
## [1407,]                 8.0                 22.0 0.99740 3.22      0.94
## [1408,]                40.0                 54.0 0.99500 3.54      0.93
## [1409,]                35.0                 53.0 0.99500 3.27      1.01
## [1410,]                40.0                 54.0 0.99500 3.54      0.93
## [1411,]                 5.0                 16.0 0.99360 3.50      0.44
## [1412,]                 8.0                 19.0 0.99630 3.56      0.73
## [1413,]                 8.0                 22.0 0.99740 3.22      0.94
## [1414,]                12.0                 89.0 0.99630 3.04      0.90
## [1415,]                 3.0                 15.0 0.99940 3.20      0.78
## [1416,]                 8.0                 18.0 0.99660 3.56      0.84
## [1417,]                 3.0                 15.0 0.99940 3.20      0.78
## [1418,]                21.0                 37.0 0.99520 3.35      0.77
## [1419,]                 3.0                 19.0 0.99500 3.16      0.46
## [1420,]                32.0                133.0 0.99560 3.27      0.45
## [1421,]                 3.0                 19.0 0.99500 3.16      0.46
## [1422,]                24.0                 58.0 0.99650 3.34      0.58
## [1423,]                39.0                 55.0 0.99560 3.39      0.84
## [1424,]                14.0                 31.0 0.99680 3.50      0.67
## [1425,]                 8.0                 23.0 0.99740 3.26      0.70
## [1426,]                 8.0                 23.0 0.99740 3.26      0.70
## [1427,]                23.0                 60.0 0.99710 3.41      0.71
## [1428,]                 6.0                 23.0 0.99570 3.30      0.58
## [1429,]                27.0                 55.0 0.99620 3.31      0.63
## [1430,]                38.0                 67.0 0.99600 3.33      0.93
## [1431,]                18.0                 47.0 0.99560 3.37      0.62
## [1432,]                13.0                 74.0 0.99580 3.26      0.54
## [1433,]                 3.0                 11.0 0.99440 3.48      0.85
## [1434,]                11.0                 25.0 0.99550 3.42      0.74
## [1435,]                55.0                 95.0 1.00369 3.18      0.77
## [1436,]                55.0                 95.0 1.00369 3.18      0.77
## [1437,]                27.0                 90.0 0.99914 3.15      0.65
## [1438,]                15.0                 39.0 0.99577 3.53      0.54
## [1439,]                 3.0                  8.0 0.99600 3.41      0.47
## [1440,]                31.0                 92.0 0.99566 3.32      0.68
## [1441,]                15.0                 28.0 0.99470 3.23      0.73
## [1442,]                19.0                 98.0 0.99713 3.16      0.52
## [1443,]                18.0                 30.0 0.99712 3.40      0.75
## [1444,]                 8.0                 22.0 0.99322 3.38      0.49
## [1445,]                31.0                 92.0 0.99566 3.32      0.68
## [1446,]                19.0                 98.0 0.99713 3.16      0.52
## [1447,]                18.0                 30.0 0.99712 3.40      0.75
## [1448,]                22.0                 39.0 0.99701 3.40      0.74
## [1449,]                40.0                 54.0 0.99683 3.40      0.73
## [1450,]                15.0                 29.0 0.99472 3.23      0.76
## [1451,]                15.0                 28.0 0.99470 3.23      0.73
## [1452,]                 8.0                 17.0 0.99732 3.33      0.78
## [1453,]                37.0                 53.0 0.99374 3.35      0.76
## [1454,]                27.0                 85.0 0.99706 3.41      0.58
## [1455,]                 7.0                 23.0 0.99974 3.21      0.69
## [1456,]                 9.0                 17.0 0.99467 3.50      0.63
## [1457,]                38.0                 89.0 0.99236 3.30      0.50
## [1458,]                27.0                 85.0 0.99706 3.41      0.58
## [1459,]                 8.0                 20.0 0.99603 3.39      0.60
## [1460,]                 7.0                 15.0 0.99458 3.32      0.80
## [1461,]                34.0                 64.0 0.99724 3.41      0.68
## [1462,]                 6.0                 13.0 0.99664 3.59      0.61
## [1463,]                14.0                 31.0 0.99545 3.36      0.58
## [1464,]                14.0                 39.0 0.99522 3.34      0.53
## [1465,]                34.0                 53.0 0.99580 3.41      0.67
## [1466,]                34.0                 53.0 0.99580 3.41      0.67
## [1467,]                31.0                 54.0 0.99728 3.30      0.65
## [1468,]                19.0                 32.0 0.99648 3.52      0.57
## [1469,]                31.0                 54.0 0.99728 3.30      0.65
## [1470,]                20.0                 49.0 0.99705 3.31      0.55
## [1471,]                 8.0                 24.0 0.99578 2.88      0.47
## [1472,]                 8.0                 16.0 0.99334 3.43      0.52
## [1473,]                23.0                 44.0 0.99656 3.38      0.79
## [1474,]                14.0                 45.0 0.99336 3.38      0.54
## [1475,]                48.0                 82.0 1.00242 3.16      0.75
## [1476,]                16.0                 89.0 0.99182 3.54      0.88
## [1477,]                48.0                 82.0 1.00242 3.16      0.75
## [1478,]                16.0                 89.0 0.99182 3.54      0.88
## [1479,]                 3.0                 14.0 0.99808 3.40      0.52
## [1480,]                10.0                 22.0 0.99828 3.39      0.68
## [1481,]                 6.0                 13.0 0.99498 3.66      0.62
## [1482,]                10.0                 22.0 0.99828 3.39      0.68
## [1483,]                 3.0                  9.0 0.99719 3.33      0.57
## [1484,]                 6.0                 12.0 0.99542 3.35      0.61
## [1485,]                 4.0                 11.0 0.99592 3.53      0.64
## [1486,]                 8.0                 25.0 0.99606 3.37      0.55
## [1487,]                 9.0                 23.0 0.99546 3.38      0.60
## [1488,]                 9.0                 17.0 0.99496 3.52      0.78
## [1489,]                 5.0                 13.0 0.99420 3.72      0.58
## [1490,]                 4.0                 11.0 0.99448 3.44      0.76
## [1491,]                 8.0                 18.0 0.99344 3.39      0.56
## [1492,]                 5.0                 13.0 0.99420 3.72      0.58
## [1493,]                 6.0                 18.0 0.99348 3.57      0.54
## [1494,]                23.0                147.0 0.99636 3.26      0.59
## [1495,]                15.0                 28.0 0.99459 3.42      0.70
## [1496,]                15.0                 28.0 0.99492 3.35      0.81
## [1497,]                23.0                147.0 0.99636 3.26      0.59
## [1498,]                 7.0                 16.0 0.99508 3.45      0.63
## [1499,]                 7.0                 13.0 0.99582 3.53      0.58
## [1500,]                 7.0                 16.0 0.99508 3.45      0.63
## [1501,]                 8.0                 15.0 0.99508 3.26      0.53
## [1502,]                21.0                 64.0 0.99642 3.16      0.53
## [1503,]                15.0                 60.0 0.99638 3.31      0.54
## [1504,]                 6.0                 14.0 0.99555 3.51      0.69
## [1505,]                 5.0                 12.0 0.99605 3.36      0.55
## [1506,]                 6.0                 12.0 0.99600 3.55      0.63
## [1507,]                 6.0                 14.0 0.99562 3.51      0.66
## [1508,]                 5.0                 12.0 0.99605 3.36      0.55
## [1509,]                17.0                 25.0 0.99814 3.38      0.72
## [1510,]                 7.0                 20.0 0.99410 3.28      0.70
## [1511,]                26.0                 48.0 0.99661 3.47      0.77
## [1512,]                19.0                 27.0 0.99712 3.44      0.67
## [1513,]                11.0                 17.0 0.99588 3.53      0.65
## [1514,]                17.0                 65.0 0.99294 3.33      0.60
## [1515,]                16.0                 65.0 0.99842 3.53      0.72
## [1516,]                16.0                 65.0 0.99842 3.53      0.72
## [1517,]                23.0                 58.0 0.99633 3.42      0.97
## [1518,]                29.0                 44.0 0.99489 3.38      0.83
## [1519,]                 7.0                 20.0 0.99647 3.32      0.63
## [1520,]                14.0                 27.0 0.99665 3.44      0.58
## [1521,]                29.0                 44.0 0.99489 3.38      0.83
## [1522,]                 9.0                 23.0 0.99585 3.39      0.43
## [1523,]                23.0                 58.0 0.99633 3.42      0.97
## [1524,]                29.0                 61.0 0.99530 3.34      0.60
## [1525,]                22.0                 47.0 0.99522 3.39      0.78
## [1526,]                18.0                 34.0 0.99552 3.33      0.64
## [1527,]                18.0                 38.0 0.99553 3.30      0.65
## [1528,]                15.0                 24.0 0.99510 3.29      0.66
## [1529,]                21.0                 59.0 0.99714 3.31      0.67
## [1530,]                42.0                 52.0 0.99608 3.42      0.60
## [1531,]                 9.0                 18.0 0.99444 3.42      0.69
## [1532,]                13.0                 28.0 0.99631 3.60      0.66
## [1533,]                18.0                 22.0 0.99573 3.21      0.68
## [1534,]                32.0                 84.0 0.99717 3.39      0.61
## [1535,]                13.0                 29.0 0.99397 3.42      0.62
## [1536,]                15.0                 35.0 0.99590 3.36      0.59
## [1537,]                24.0                 45.0 0.99528 3.60      0.68
## [1538,]                20.0                 31.0 0.99484 3.50      0.64
## [1539,]                15.0                 26.0 0.99538 3.57      0.63
## [1540,]                34.0                 60.0 0.99714 3.46      0.78
## [1541,]                11.0                 32.0 0.99646 3.56      0.63
## [1542,]                19.0                 49.0 0.99666 3.40      0.76
## [1543,]                29.0                 38.0 0.99472 3.30      0.56
## [1544,]                14.0                 19.0 0.99758 3.25      0.57
## [1545,]                12.0                 19.0 0.99550 3.17      0.81
## [1546,]                16.0                 28.0 0.99531 3.36      0.64
## [1547,]                17.0                 26.0 0.99575 3.36      0.61
## [1548,]                12.0                 26.0 0.99306 3.55      0.51
## [1549,]                19.0                 50.0 0.99783 3.10      0.58
## [1550,]                17.0                 24.0 0.99419 3.24      0.70
## [1551,]                17.0                 26.0 0.99783 3.45      0.53
## [1552,]                18.0                 27.0 0.99768 3.44      0.54
## [1553,]                32.0                 54.0 0.99586 3.51      0.66
## [1554,]                18.0                 28.0 0.99765 3.41      0.60
## [1555,]                15.0                 23.0 0.99627 3.54      0.60
## [1556,]                15.0                 24.0 0.99514 3.44      0.68
## [1557,]                12.0                 20.0 0.99636 3.53      0.56
## [1558,]                15.0                 23.0 0.99627 3.54      0.60
## [1559,]                66.0                115.0 0.99787 3.22      0.56
## [1560,]                31.0                131.0 0.99622 3.21      0.52
## [1561,]                31.0                131.0 0.99622 3.21      0.52
## [1562,]                31.0                131.0 0.99622 3.21      0.52
## [1563,]                12.0                 20.0 0.99546 3.29      0.54
## [1564,]                12.0                 20.0 0.99546 3.29      0.54
## [1565,]                12.0                 20.0 0.99546 3.29      0.54
## [1566,]                26.0                 42.0 0.99489 3.39      0.82
## [1567,]                24.0                 52.0 0.99494 3.34      0.71
## [1568,]                12.0                 20.0 0.99546 3.29      0.54
## [1569,]                25.0                 42.0 0.99629 3.34      0.59
## [1570,]                15.0                 34.0 0.99396 3.48      0.57
## [1571,]                19.0                 35.0 0.99340 3.37      0.93
## [1572,]                15.0                 25.0 0.99514 3.44      0.65
## [1573,]                35.0                104.0 0.99632 3.33      0.51
## [1574,]                15.0                 50.0 0.99467 3.58      0.67
## [1575,]                23.0                 92.0 0.99677 3.39      0.48
## [1576,]                12.0                 20.0 0.99474 3.26      0.64
## [1577,]                16.0                 29.0 0.99588 3.30      0.78
## [1578,]                13.0                 27.0 0.99622 3.54      0.60
## [1579,]                13.0                 20.0 0.99540 3.42      0.67
## [1580,]                24.0                 32.0 0.99402 3.54      0.60
## [1581,]                 9.0                 26.0 0.99470 3.36      0.60
## [1582,]                24.0                 32.0 0.99402 3.54      0.60
## [1583,]                13.0                 27.0 0.99362 3.57      0.50
## [1584,]                32.0                 98.0 0.99578 3.33      0.62
## [1585,]                24.0                 34.0 0.99484 3.29      0.80
## [1586,]                22.0                 48.0 0.99494 3.30      0.84
## [1587,]                34.0                 60.0 0.99492 3.34      0.85
## [1588,]                18.0                 28.0 0.99483 3.55      0.66
## [1589,]                34.0                102.0 0.99414 3.27      0.78
## [1590,]                29.0                 79.0 0.99770 3.29      0.54
## [1591,]                26.0                 35.0 0.99314 3.32      0.82
## [1592,]                16.0                 26.0 0.99402 3.67      0.56
## [1593,]                29.0                 40.0 0.99574 3.42      0.75
## [1594,]                28.0                 38.0 0.99651 3.42      0.82
## [1595,]                32.0                 44.0 0.99490 3.45      0.58
## [1596,]                39.0                 51.0 0.99512 3.52      0.76
## [1597,]                29.0                 40.0 0.99574 3.42      0.75
## [1598,]                32.0                 44.0 0.99547 3.57      0.71
## [1599,]                18.0                 42.0 0.99549 3.39      0.66
##           alcohol  
##    [1,]  9.400000 0
##    [2,]  9.800000 0
##    [3,]  9.800000 0
##    [4,]  9.800000 1
##    [5,]  9.400000 0
##    [6,]  9.400000 0
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## [1227,]  9.200000 0
## [1228,]  9.600000 0
## [1229,] 13.600000 1
## [1230,]  9.500000 0
## [1231,] 11.800000 1
## [1232,] 10.800000 0
## [1233,]  9.500000 0
## [1234,]  9.300000 0
## [1235,] 12.800000 1
## [1236,] 11.500000 0
## [1237,]  9.400000 1
## [1238,] 12.800000 1
## [1239,]  9.600000 0
## [1240,] 11.800000 0
## [1241,]  9.300000 0
## [1242,]  9.800000 0
## [1243,] 12.200000 1
## [1244,]  9.500000 0
## [1245,] 10.300000 1
## [1246,] 10.500000 0
## [1247,] 10.000000 0
## [1248,] 10.500000 0
## [1249,] 11.100000 1
## [1250,] 10.900000 1
## [1251,] 10.900000 1
## [1252,]  9.800000 0
## [1253,]  9.800000 0
## [1254,]  9.500000 0
## [1255,] 10.900000 0
## [1256,] 11.000000 0
## [1257,]  9.200000 0
## [1258,] 11.000000 1
## [1259,] 11.300000 1
## [1260,] 11.300000 1
## [1261,]  9.300000 0
## [1262,] 11.200000 0
## [1263,]  9.800000 0
## [1264,]  9.600000 0
## [1265,] 11.800000 1
## [1266,] 10.300000 1
## [1267,] 10.300000 1
## [1268,] 11.400000 1
## [1269,]  9.500000 1
## [1270,] 14.000000 1
## [1271,] 14.000000 1
## [1272,] 11.700000 1
## [1273,] 11.200000 0
## [1274,]  9.300000 0
## [1275,] 11.200000 1
## [1276,]  9.500000 1
## [1277,] 12.000000 0
## [1278,]  9.700000 1
## [1279,]  9.500000 1
## [1280,] 11.500000 1
## [1281,] 10.400000 1
## [1282,] 10.400000 1
## [1283,] 10.900000 1
## [1284,] 10.200000 1
## [1285,] 10.900000 0
## [1286,] 10.500000 0
## [1287,] 12.400000 1
## [1288,] 13.000000 0
## [1289,] 10.200000 0
## [1290,] 10.200000 0
## [1291,] 11.000000 0
## [1292,] 10.900000 1
## [1293,] 12.400000 1
## [1294,]  9.700000 0
## [1295,] 10.900000 1
## [1296,]  9.500000 0
## [1297,]  9.500000 0
## [1298,] 12.100000 1
## [1299,] 12.200000 1
## [1300,] 10.900000 0
## [1301,] 12.500000 1
## [1302,] 11.700000 1
## [1303,] 11.200000 1
## [1304,] 11.200000 0
## [1305,]  9.200000 0
## [1306,]  9.800000 0
## [1307,] 10.100000 0
## [1308,] 11.100000 0
## [1309,] 10.100000 0
## [1310,]  9.200000 0
## [1311,]  9.800000 0
## [1312,] 12.800000 1
## [1313,] 10.500000 0
## [1314,] 10.100000 1
## [1315,] 10.100000 1
## [1316,]  9.800000 1
## [1317,] 12.500000 1
## [1318,] 11.900000 1
## [1319,]  9.800000 1
## [1320,]  9.100000 1
## [1321,] 10.100000 0
## [1322,] 12.500000 1
## [1323,] 11.400000 0
## [1324,] 11.000000 1
## [1325,] 10.600000 1
## [1326,] 10.600000 1
## [1327,] 10.600000 1
## [1328,] 10.600000 1
## [1329,]  9.300000 0
## [1330,]  9.800000 1
## [1331,]  9.800000 1
## [1332,]  9.200000 0
## [1333,]  9.700000 1
## [1334,]  9.600000 0
## [1335,] 10.000000 0
## [1336,] 12.600000 1
## [1337,]  9.500000 0
## [1338,]  9.500000 0
## [1339,]  9.500000 0
## [1340,] 10.500000 1
## [1341,] 10.500000 1
## [1342,] 10.500000 1
## [1343,] 10.400000 1
## [1344,] 10.500000 1
## [1345,] 11.000000 0
## [1346,] 10.200000 1
## [1347,] 11.400000 0
## [1348,]  9.500000 0
## [1349,]  9.500000 0
## [1350,] 10.800000 0
## [1351,] 10.000000 0
## [1352,] 11.800000 1
## [1353,] 10.300000 0
## [1354,] 10.300000 0
## [1355,] 10.000000 0
## [1356,] 10.100000 0
## [1357,] 10.100000 0
## [1358,] 11.100000 1
## [1359,]  9.500000 0
## [1360,] 10.033333 1
## [1361,] 10.900000 0
## [1362,] 10.100000 0
## [1363,] 10.033333 1
## [1364,]  9.800000 0
## [1365,] 11.800000 1
## [1366,]  9.500000 0
## [1367,]  9.800000 0
## [1368,] 10.500000 1
## [1369,]  9.800000 1
## [1370,] 10.400000 0
## [1371,]  9.200000 0
## [1372,] 11.600000 1
## [1373,]  9.200000 0
## [1374,]  9.300000 0
## [1375,]  9.800000 0
## [1376,]  9.900000 0
## [1377,] 10.000000 0
## [1378,] 12.200000 1
## [1379,]  9.900000 1
## [1380,] 10.800000 1
## [1381,] 10.800000 1
## [1382,]  9.600000 0
## [1383,]  9.900000 0
## [1384,]  9.900000 0
## [1385,]  9.500000 0
## [1386,]  9.200000 0
## [1387,]  9.600000 0
## [1388,]  9.600000 0
## [1389,] 10.300000 0
## [1390,]  9.700000 0
## [1391,] 12.500000 1
## [1392,] 11.000000 0
## [1393,]  9.800000 0
## [1394,] 10.200000 0
## [1395,]  9.200000 0
## [1396,]  9.550000 1
## [1397,]  9.550000 0
## [1398,]  9.900000 0
## [1399,] 10.200000 1
## [1400,] 11.100000 1
## [1401,]  9.900000 0
## [1402,]  9.900000 0
## [1403,] 11.900000 1
## [1404,] 10.000000 1
## [1405,] 10.700000 1
## [1406,] 11.300000 1
## [1407,] 10.900000 1
## [1408,] 10.700000 1
## [1409,] 12.400000 1
## [1410,] 10.700000 1
## [1411,] 11.900000 1
## [1412,] 10.600000 1
## [1413,] 10.900000 1
## [1414,] 10.100000 0
## [1415,]  9.600000 0
## [1416,]  9.400000 0
## [1417,]  9.600000 0
## [1418,] 12.100000 1
## [1419,]  9.800000 0
## [1420,]  9.900000 0
## [1421,]  9.800000 0
## [1422,]  9.400000 0
## [1423,] 11.400000 1
## [1424,] 11.000000 0
## [1425,]  9.600000 1
## [1426,]  9.600000 1
## [1427,] 12.100000 1
## [1428,] 11.200000 0
## [1429,] 11.000000 0
## [1430,] 11.300000 0
## [1431,] 10.400000 0
## [1432,]  9.900000 1
## [1433,] 11.700000 1
## [1434,] 10.100000 1
## [1435,]  9.000000 1
## [1436,]  9.000000 1
## [1437,]  8.500000 0
## [1438,] 11.100000 0
## [1439,] 10.300000 0
## [1440,] 11.066667 1
## [1441,] 11.300000 1
## [1442,]  9.566667 1
## [1443,]  9.800000 0
## [1444,] 11.700000 0
## [1445,] 11.100000 1
## [1446,]  9.600000 1
## [1447,]  9.800000 0
## [1448,]  9.700000 0
## [1449,]  9.700000 0
## [1450,] 11.300000 1
## [1451,] 11.300000 1
## [1452,] 11.000000 1
## [1453,] 11.600000 1
## [1454,]  9.000000 0
## [1455,] 10.900000 1
## [1456,] 10.900000 1
## [1457,] 10.550000 1
## [1458,]  9.000000 0
## [1459,] 10.500000 0
## [1460,] 11.900000 1
## [1461,] 10.400000 1
## [1462,] 10.000000 0
## [1463,] 10.400000 1
## [1464,] 10.800000 1
## [1465,]  9.700000 0
## [1466,]  9.700000 0
## [1467,] 10.000000 1
## [1468,] 11.000000 0
## [1469,] 10.000000 1
## [1470,]  9.700000 0
## [1471,]  9.700000 0
## [1472,] 12.600000 0
## [1473,] 11.100000 1
## [1474,] 11.000000 0
## [1475,]  8.800000 0
## [1476,] 13.566667 1
## [1477,]  8.800000 0
## [1478,] 13.600000 1
## [1479,] 10.200000 0
## [1480,] 10.600000 0
## [1481,] 10.100000 0
## [1482,] 10.600000 0
## [1483,] 10.300000 0
## [1484,] 10.700000 0
## [1485,] 10.900000 0
## [1486,]  9.700000 0
## [1487,] 10.300000 0
## [1488,] 10.600000 0
## [1489,] 11.400000 0
## [1490,] 10.800000 1
## [1491,] 12.400000 1
## [1492,] 11.400000 0
## [1493,] 11.950000 0
## [1494,]  9.700000 0
## [1495,] 10.000000 1
## [1496,] 10.600000 1
## [1497,]  9.700000 0
## [1498,] 11.500000 1
## [1499,] 10.800000 1
## [1500,] 11.500000 1
## [1501,]  9.600000 0
## [1502,]  9.400000 0
## [1503,]  9.800000 0
## [1504,] 11.000000 1
## [1505,] 11.400000 1
## [1506,]  9.950000 0
## [1507,] 10.800000 1
## [1508,] 11.400000 1
## [1509,] 10.600000 1
## [1510,] 11.100000 0
## [1511,]  9.700000 1
## [1512,]  9.800000 0
## [1513,] 10.400000 1
## [1514,] 10.500000 1
## [1515,]  9.233333 1
## [1516,]  9.250000 1
## [1517,] 10.600000 0
## [1518,] 10.300000 1
## [1519,] 10.500000 0
## [1520,] 10.200000 0
## [1521,] 10.300000 1
## [1522,]  9.050000 0
## [1523,] 10.600000 0
## [1524,] 10.400000 0
## [1525,] 10.000000 1
## [1526,]  9.700000 0
## [1527,]  9.600000 1
## [1528,] 10.800000 1
## [1529,] 10.100000 1
## [1530,] 10.200000 1
## [1531,] 11.300000 1
## [1532,] 10.200000 0
## [1533,]  9.900000 1
## [1534,]  9.000000 0
## [1535,] 11.700000 1
## [1536,]  9.700000 1
## [1537,] 10.300000 1
## [1538,] 10.200000 1
## [1539,] 12.000000 0
## [1540,]  9.900000 0
## [1541,] 11.600000 1
## [1542,] 10.900000 1
## [1543,] 10.750000 1
## [1544,] 10.400000 1
## [1545,] 11.200000 1
## [1546,] 10.100000 1
## [1547,] 10.200000 0
## [1548,] 12.100000 0
## [1549,] 10.400000 0
## [1550,] 11.400000 1
## [1551,]  9.500000 0
## [1552,]  9.400000 0
## [1553,] 11.300000 1
## [1554,]  9.400000 0
## [1555,] 11.000000 1
## [1556,] 10.550000 1
## [1557,]  9.900000 0
## [1558,] 11.000000 1
## [1559,]  9.500000 0
## [1560,]  9.900000 0
## [1561,]  9.900000 0
## [1562,]  9.900000 0
## [1563,] 10.100000 0
## [1564,] 10.100000 0
## [1565,] 10.100000 0
## [1566,] 10.900000 1
## [1567,] 11.200000 1
## [1568,] 10.100000 0
## [1569,]  9.200000 0
## [1570,] 11.500000 1
## [1571,] 12.400000 1
## [1572,] 11.100000 1
## [1573,]  9.500000 0
## [1574,] 12.500000 1
## [1575,] 10.500000 1
## [1576,] 11.800000 1
## [1577,] 10.800000 1
## [1578,] 11.900000 1
## [1579,] 11.300000 1
## [1580,] 11.300000 0
## [1581,] 11.900000 1
## [1582,] 11.300000 0
## [1583,] 11.900000 0
## [1584,]  9.800000 0
## [1585,] 11.600000 1
## [1586,] 11.500000 1
## [1587,] 11.400000 1
## [1588,] 10.900000 1
## [1589,] 12.800000 1
## [1590,]  9.200000 0
## [1591,] 11.600000 1
## [1592,] 11.600000 1
## [1593,] 11.000000 1
## [1594,]  9.500000 1
## [1595,] 10.500000 0
## [1596,] 11.200000 1
## [1597,] 11.000000 1
## [1598,] 10.200000 0
## [1599,] 11.000000 1
colnames(df_new)[12] <- "quality"
df_new
##         fixed acidity volatile acidity citric acid residual sugar chlorides
##    [1,]           7.4            0.700        0.00           1.90     0.076
##    [2,]           7.8            0.880        0.00           2.60     0.098
##    [3,]           7.8            0.760        0.04           2.30     0.092
##    [4,]          11.2            0.280        0.56           1.90     0.075
##    [5,]           7.4            0.700        0.00           1.90     0.076
##    [6,]           7.4            0.660        0.00           1.80     0.075
##    [7,]           7.9            0.600        0.06           1.60     0.069
##    [8,]           7.3            0.650        0.00           1.20     0.065
##    [9,]           7.8            0.580        0.02           2.00     0.073
##   [10,]           7.5            0.500        0.36           6.10     0.071
##   [11,]           6.7            0.580        0.08           1.80     0.097
##   [12,]           7.5            0.500        0.36           6.10     0.071
##   [13,]           5.6            0.615        0.00           1.60     0.089
##   [14,]           7.8            0.610        0.29           1.60     0.114
##   [15,]           8.9            0.620        0.18           3.80     0.176
##   [16,]           8.9            0.620        0.19           3.90     0.170
##   [17,]           8.5            0.280        0.56           1.80     0.092
##   [18,]           8.1            0.560        0.28           1.70     0.368
##   [19,]           7.4            0.590        0.08           4.40     0.086
##   [20,]           7.9            0.320        0.51           1.80     0.341
##   [21,]           8.9            0.220        0.48           1.80     0.077
##   [22,]           7.6            0.390        0.31           2.30     0.082
##   [23,]           7.9            0.430        0.21           1.60     0.106
##   [24,]           8.5            0.490        0.11           2.30     0.084
##   [25,]           6.9            0.400        0.14           2.40     0.085
##   [26,]           6.3            0.390        0.16           1.40     0.080
##   [27,]           7.6            0.410        0.24           1.80     0.080
##   [28,]           7.9            0.430        0.21           1.60     0.106
##   [29,]           7.1            0.710        0.00           1.90     0.080
##   [30,]           7.8            0.645        0.00           2.00     0.082
##   [31,]           6.7            0.675        0.07           2.40     0.089
##   [32,]           6.9            0.685        0.00           2.50     0.105
##   [33,]           8.3            0.655        0.12           2.30     0.083
##   [34,]           6.9            0.605        0.12          10.70     0.073
##   [35,]           5.2            0.320        0.25           1.80     0.103
##   [36,]           7.8            0.645        0.00           5.50     0.086
##   [37,]           7.8            0.600        0.14           2.40     0.086
##   [38,]           8.1            0.380        0.28           2.10     0.066
##   [39,]           5.7            1.130        0.09           1.50     0.172
##   [40,]           7.3            0.450        0.36           5.90     0.074
##   [41,]           7.3            0.450        0.36           5.90     0.074
##   [42,]           8.8            0.610        0.30           2.80     0.088
##   [43,]           7.5            0.490        0.20           2.60     0.332
##   [44,]           8.1            0.660        0.22           2.20     0.069
##   [45,]           6.8            0.670        0.02           1.80     0.050
##   [46,]           4.6            0.520        0.15           2.10     0.054
##   [47,]           7.7            0.935        0.43           2.20     0.114
##   [48,]           8.7            0.290        0.52           1.60     0.113
##   [49,]           6.4            0.400        0.23           1.60     0.066
##   [50,]           5.6            0.310        0.37           1.40     0.074
##   [51,]           8.8            0.660        0.26           1.70     0.074
##   [52,]           6.6            0.520        0.04           2.20     0.069
##   [53,]           6.6            0.500        0.04           2.10     0.068
##   [54,]           8.6            0.380        0.36           3.00     0.081
##   [55,]           7.6            0.510        0.15           2.80     0.110
##   [56,]           7.7            0.620        0.04           3.80     0.084
##   [57,]          10.2            0.420        0.57           3.40     0.070
##   [58,]           7.5            0.630        0.12           5.10     0.111
##   [59,]           7.8            0.590        0.18           2.30     0.076
##   [60,]           7.3            0.390        0.31           2.40     0.074
##   [61,]           8.8            0.400        0.40           2.20     0.079
##   [62,]           7.7            0.690        0.49           1.80     0.115
##   [63,]           7.5            0.520        0.16           1.90     0.085
##   [64,]           7.0            0.735        0.05           2.00     0.081
##   [65,]           7.2            0.725        0.05           4.65     0.086
##   [66,]           7.2            0.725        0.05           4.65     0.086
##   [67,]           7.5            0.520        0.11           1.50     0.079
##   [68,]           6.6            0.705        0.07           1.60     0.076
##   [69,]           9.3            0.320        0.57           2.00     0.074
##   [70,]           8.0            0.705        0.05           1.90     0.074
##   [71,]           7.7            0.630        0.08           1.90     0.076
##   [72,]           7.7            0.670        0.23           2.10     0.088
##   [73,]           7.7            0.690        0.22           1.90     0.084
##   [74,]           8.3            0.675        0.26           2.10     0.084
##   [75,]           9.7            0.320        0.54           2.50     0.094
##   [76,]           8.8            0.410        0.64           2.20     0.093
##   [77,]           8.8            0.410        0.64           2.20     0.093
##   [78,]           6.8            0.785        0.00           2.40     0.104
##   [79,]           6.7            0.750        0.12           2.00     0.086
##   [80,]           8.3            0.625        0.20           1.50     0.080
##   [81,]           6.2            0.450        0.20           1.60     0.069
##   [82,]           7.8            0.430        0.70           1.90     0.464
##   [83,]           7.4            0.500        0.47           2.00     0.086
##   [84,]           7.3            0.670        0.26           1.80     0.401
##   [85,]           6.3            0.300        0.48           1.80     0.069
##   [86,]           6.9            0.550        0.15           2.20     0.076
##   [87,]           8.6            0.490        0.28           1.90     0.110
##   [88,]           7.7            0.490        0.26           1.90     0.062
##   [89,]           9.3            0.390        0.44           2.10     0.107
##   [90,]           7.0            0.620        0.08           1.80     0.076
##   [91,]           7.9            0.520        0.26           1.90     0.079
##   [92,]           8.6            0.490        0.28           1.90     0.110
##   [93,]           8.6            0.490        0.29           2.00     0.110
##   [94,]           7.7            0.490        0.26           1.90     0.062
##   [95,]           5.0            1.020        0.04           1.40     0.045
##   [96,]           4.7            0.600        0.17           2.30     0.058
##   [97,]           6.8            0.775        0.00           3.00     0.102
##   [98,]           7.0            0.500        0.25           2.00     0.070
##   [99,]           7.6            0.900        0.06           2.50     0.079
##  [100,]           8.1            0.545        0.18           1.90     0.080
##  [101,]           8.3            0.610        0.30           2.10     0.084
##  [102,]           7.8            0.500        0.30           1.90     0.075
##  [103,]           8.1            0.545        0.18           1.90     0.080
##  [104,]           8.1            0.575        0.22           2.10     0.077
##  [105,]           7.2            0.490        0.24           2.20     0.070
##  [106,]           8.1            0.575        0.22           2.10     0.077
##  [107,]           7.8            0.410        0.68           1.70     0.467
##  [108,]           6.2            0.630        0.31           1.70     0.088
##  [109,]           8.0            0.330        0.53           2.50     0.091
##  [110,]           8.1            0.785        0.52           2.00     0.122
##  [111,]           7.8            0.560        0.19           1.80     0.104
##  [112,]           8.4            0.620        0.09           2.20     0.084
##  [113,]           8.4            0.600        0.10           2.20     0.085
##  [114,]          10.1            0.310        0.44           2.30     0.080
##  [115,]           7.8            0.560        0.19           1.80     0.104
##  [116,]           9.4            0.400        0.31           2.20     0.090
##  [117,]           8.3            0.540        0.28           1.90     0.077
##  [118,]           7.8            0.560        0.12           2.00     0.082
##  [119,]           8.8            0.550        0.04           2.20     0.119
##  [120,]           7.0            0.690        0.08           1.80     0.097
##  [121,]           7.3            1.070        0.09           1.70     0.178
##  [122,]           8.8            0.550        0.04           2.20     0.119
##  [123,]           7.3            0.695        0.00           2.50     0.075
##  [124,]           8.0            0.710        0.00           2.60     0.080
##  [125,]           7.8            0.500        0.17           1.60     0.082
##  [126,]           9.0            0.620        0.04           1.90     0.146
##  [127,]           8.2            1.330        0.00           1.70     0.081
##  [128,]           8.1            1.330        0.00           1.80     0.082
##  [129,]           8.0            0.590        0.16           1.80     0.065
##  [130,]           6.1            0.380        0.15           1.80     0.072
##  [131,]           8.0            0.745        0.56           2.00     0.118
##  [132,]           5.6            0.500        0.09           2.30     0.049
##  [133,]           5.6            0.500        0.09           2.30     0.049
##  [134,]           6.6            0.500        0.01           1.50     0.060
##  [135,]           7.9            1.040        0.05           2.20     0.084
##  [136,]           8.4            0.745        0.11           1.90     0.090
##  [137,]           8.3            0.715        0.15           1.80     0.089
##  [138,]           7.2            0.415        0.36           2.00     0.081
##  [139,]           7.8            0.560        0.19           2.10     0.081
##  [140,]           7.8            0.560        0.19           2.00     0.081
##  [141,]           8.4            0.745        0.11           1.90     0.090
##  [142,]           8.3            0.715        0.15           1.80     0.089
##  [143,]           5.2            0.340        0.00           1.80     0.050
##  [144,]           6.3            0.390        0.08           1.70     0.066
##  [145,]           5.2            0.340        0.00           1.80     0.050
##  [146,]           8.1            0.670        0.55           1.80     0.117
##  [147,]           5.8            0.680        0.02           1.80     0.087
##  [148,]           7.6            0.490        0.26           1.60     0.236
##  [149,]           6.9            0.490        0.10           2.30     0.074
##  [150,]           8.2            0.400        0.44           2.80     0.089
##  [151,]           7.3            0.330        0.47           2.10     0.077
##  [152,]           9.2            0.520        1.00           3.40     0.610
##  [153,]           7.5            0.600        0.03           1.80     0.095
##  [154,]           7.5            0.600        0.03           1.80     0.095
##  [155,]           7.1            0.430        0.42           5.50     0.070
##  [156,]           7.1            0.430        0.42           5.50     0.071
##  [157,]           7.1            0.430        0.42           5.50     0.070
##  [158,]           7.1            0.430        0.42           5.50     0.071
##  [159,]           7.1            0.680        0.00           2.20     0.073
##  [160,]           6.8            0.600        0.18           1.90     0.079
##  [161,]           7.6            0.950        0.03           2.00     0.090
##  [162,]           7.6            0.680        0.02           1.30     0.072
##  [163,]           7.8            0.530        0.04           1.70     0.076
##  [164,]           7.4            0.600        0.26           7.30     0.070
##  [165,]           7.3            0.590        0.26           7.20     0.070
##  [166,]           7.8            0.630        0.48           1.70     0.100
##  [167,]           6.8            0.640        0.10           2.10     0.085
##  [168,]           7.3            0.550        0.03           1.60     0.072
##  [169,]           6.8            0.630        0.07           2.10     0.089
##  [170,]           7.5            0.705        0.24           1.80     0.360
##  [171,]           7.9            0.885        0.03           1.80     0.058
##  [172,]           8.0            0.420        0.17           2.00     0.073
##  [173,]           8.0            0.420        0.17           2.00     0.073
##  [174,]           7.4            0.620        0.05           1.90     0.068
##  [175,]           7.3            0.380        0.21           2.00     0.080
##  [176,]           6.9            0.500        0.04           1.50     0.085
##  [177,]           7.3            0.380        0.21           2.00     0.080
##  [178,]           7.5            0.520        0.42           2.30     0.087
##  [179,]           7.0            0.805        0.00           2.50     0.068
##  [180,]           8.8            0.610        0.14           2.40     0.067
##  [181,]           8.8            0.610        0.14           2.40     0.067
##  [182,]           8.9            0.610        0.49           2.00     0.270
##  [183,]           7.2            0.730        0.02           2.50     0.076
##  [184,]           6.8            0.610        0.20           1.80     0.077
##  [185,]           6.7            0.620        0.21           1.90     0.079
##  [186,]           8.9            0.310        0.57           2.00     0.111
##  [187,]           7.4            0.390        0.48           2.00     0.082
##  [188,]           7.7            0.705        0.10           2.60     0.084
##  [189,]           7.9            0.500        0.33           2.00     0.084
##  [190,]           7.9            0.490        0.32           1.90     0.082
##  [191,]           8.2            0.500        0.35           2.90     0.077
##  [192,]           6.4            0.370        0.25           1.90     0.074
##  [193,]           6.8            0.630        0.12           3.80     0.099
##  [194,]           7.6            0.550        0.21           2.20     0.071
##  [195,]           7.6            0.550        0.21           2.20     0.071
##  [196,]           7.8            0.590        0.33           2.00     0.074
##  [197,]           7.3            0.580        0.30           2.40     0.074
##  [198,]          11.5            0.300        0.60           2.00     0.067
##  [199,]           5.4            0.835        0.08           1.20     0.046
##  [200,]           6.9            1.090        0.06           2.10     0.061
##  [201,]           9.6            0.320        0.47           1.40     0.056
##  [202,]           8.8            0.370        0.48           2.10     0.097
##  [203,]           6.8            0.500        0.11           1.50     0.075
##  [204,]           7.0            0.420        0.35           1.60     0.088
##  [205,]           7.0            0.430        0.36           1.60     0.089
##  [206,]          12.8            0.300        0.74           2.60     0.095
##  [207,]          12.8            0.300        0.74           2.60     0.095
##  [208,]           7.8            0.570        0.31           1.80     0.069
##  [209,]           7.8            0.440        0.28           2.70     0.100
##  [210,]          11.0            0.300        0.58           2.10     0.054
##  [211,]           9.7            0.530        0.60           2.00     0.039
##  [212,]           8.0            0.725        0.24           2.80     0.083
##  [213,]          11.6            0.440        0.64           2.10     0.059
##  [214,]           8.2            0.570        0.26           2.20     0.060
##  [215,]           7.8            0.735        0.08           2.40     0.092
##  [216,]           7.0            0.490        0.49           5.60     0.060
##  [217,]           8.7            0.625        0.16           2.00     0.101
##  [218,]           8.1            0.725        0.22           2.20     0.072
##  [219,]           7.5            0.490        0.19           1.90     0.076
##  [220,]           7.8            0.530        0.33           2.40     0.080
##  [221,]           7.8            0.340        0.37           2.00     0.082
##  [222,]           7.4            0.530        0.26           2.00     0.101
##  [223,]           6.8            0.610        0.04           1.50     0.057
##  [224,]           8.6            0.645        0.25           2.00     0.083
##  [225,]           8.4            0.635        0.36           2.00     0.089
##  [226,]           7.7            0.430        0.25           2.60     0.073
##  [227,]           8.9            0.590        0.50           2.00     0.337
##  [228,]           9.0            0.820        0.14           2.60     0.089
##  [229,]           7.7            0.430        0.25           2.60     0.073
##  [230,]           6.9            0.520        0.25           2.60     0.081
##  [231,]           5.2            0.480        0.04           1.60     0.054
##  [232,]           8.0            0.380        0.06           1.80     0.078
##  [233,]           8.5            0.370        0.20           2.80     0.090
##  [234,]           6.9            0.520        0.25           2.60     0.081
##  [235,]           8.2            1.000        0.09           2.30     0.065
##  [236,]           7.2            0.630        0.00           1.90     0.097
##  [237,]           7.2            0.630        0.00           1.90     0.097
##  [238,]           7.2            0.645        0.00           1.90     0.097
##  [239,]           7.2            0.630        0.00           1.90     0.097
##  [240,]           8.2            1.000        0.09           2.30     0.065
##  [241,]           8.9            0.635        0.37           1.70     0.263
##  [242,]          12.0            0.380        0.56           2.10     0.093
##  [243,]           7.7            0.580        0.10           1.80     0.102
##  [244,]          15.0            0.210        0.44           2.20     0.075
##  [245,]          15.0            0.210        0.44           2.20     0.075
##  [246,]           7.3            0.660        0.00           2.00     0.084
##  [247,]           7.1            0.680        0.07           1.90     0.075
##  [248,]           8.2            0.600        0.17           2.30     0.072
##  [249,]           7.7            0.530        0.06           1.70     0.074
##  [250,]           7.3            0.660        0.00           2.00     0.084
##  [251,]          10.8            0.320        0.44           1.60     0.063
##  [252,]           7.1            0.600        0.00           1.80     0.074
##  [253,]          11.1            0.350        0.48           3.10     0.090
##  [254,]           7.7            0.775        0.42           1.90     0.092
##  [255,]           7.1            0.600        0.00           1.80     0.074
##  [256,]           8.0            0.570        0.23           3.20     0.073
##  [257,]           9.4            0.340        0.37           2.20     0.075
##  [258,]           6.6            0.695        0.00           2.10     0.075
##  [259,]           7.7            0.410        0.76           1.80     0.611
##  [260,]          10.0            0.310        0.47           2.60     0.085
##  [261,]           7.9            0.330        0.23           1.70     0.077
##  [262,]           7.0            0.975        0.04           2.00     0.087
##  [263,]           8.0            0.520        0.03           1.70     0.070
##  [264,]           7.9            0.370        0.23           1.80     0.077
##  [265,]          12.5            0.560        0.49           2.40     0.064
##  [266,]          11.8            0.260        0.52           1.80     0.071
##  [267,]           8.1            0.870        0.00           3.30     0.096
##  [268,]           7.9            0.350        0.46           3.60     0.078
##  [269,]           6.9            0.540        0.04           3.00     0.077
##  [270,]          11.5            0.180        0.51           4.00     0.104
##  [271,]           7.9            0.545        0.06           4.00     0.087
##  [272,]          11.5            0.180        0.51           4.00     0.104
##  [273,]          10.9            0.370        0.58           4.00     0.071
##  [274,]           8.4            0.715        0.20           2.40     0.076
##  [275,]           7.5            0.650        0.18           7.00     0.088
##  [276,]           7.9            0.545        0.06           4.00     0.087
##  [277,]           6.9            0.540        0.04           3.00     0.077
##  [278,]          11.5            0.180        0.51           4.00     0.104
##  [279,]          10.3            0.320        0.45           6.40     0.073
##  [280,]           8.9            0.400        0.32           5.60     0.087
##  [281,]          11.4            0.260        0.44           3.60     0.071
##  [282,]           7.7            0.270        0.68           3.50     0.358
##  [283,]           7.6            0.520        0.12           3.00     0.067
##  [284,]           8.9            0.400        0.32           5.60     0.087
##  [285,]           9.9            0.590        0.07           3.40     0.102
##  [286,]           9.9            0.590        0.07           3.40     0.102
##  [287,]          12.0            0.450        0.55           2.00     0.073
##  [288,]           7.5            0.400        0.12           3.00     0.092
##  [289,]           8.7            0.520        0.09           2.50     0.091
##  [290,]          11.6            0.420        0.53           3.30     0.105
##  [291,]           8.7            0.520        0.09           2.50     0.091
##  [292,]          11.0            0.200        0.48           2.00     0.343
##  [293,]          10.4            0.550        0.23           2.70     0.091
##  [294,]           6.9            0.360        0.25           2.40     0.098
##  [295,]          13.3            0.340        0.52           3.20     0.094
##  [296,]          10.8            0.500        0.46           2.50     0.073
##  [297,]          10.6            0.830        0.37           2.60     0.086
##  [298,]           7.1            0.630        0.06           2.00     0.083
##  [299,]           7.2            0.650        0.02           2.30     0.094
##  [300,]           6.9            0.670        0.06           2.10     0.080
##  [301,]           7.5            0.530        0.06           2.60     0.086
##  [302,]          11.1            0.180        0.48           1.50     0.068
##  [303,]           8.3            0.705        0.12           2.60     0.092
##  [304,]           7.4            0.670        0.12           1.60     0.186
##  [305,]           8.4            0.650        0.60           2.10     0.112
##  [306,]          10.3            0.530        0.48           2.50     0.063
##  [307,]           7.6            0.620        0.32           2.20     0.082
##  [308,]          10.3            0.410        0.42           2.40     0.213
##  [309,]          10.3            0.430        0.44           2.40     0.214
##  [310,]           7.4            0.290        0.38           1.70     0.062
##  [311,]          10.3            0.530        0.48           2.50     0.063
##  [312,]           7.9            0.530        0.24           2.00     0.072
##  [313,]           9.0            0.460        0.31           2.80     0.093
##  [314,]           8.6            0.470        0.30           3.00     0.076
##  [315,]           7.4            0.360        0.29           2.60     0.087
##  [316,]           7.1            0.350        0.29           2.50     0.096
##  [317,]           9.6            0.560        0.23           3.40     0.102
##  [318,]           9.6            0.770        0.12           2.90     0.082
##  [319,]           9.8            0.660        0.39           3.20     0.083
##  [320,]           9.6            0.770        0.12           2.90     0.082
##  [321,]           9.8            0.660        0.39           3.20     0.083
##  [322,]           9.3            0.610        0.26           3.40     0.090
##  [323,]           7.8            0.620        0.05           2.30     0.079
##  [324,]          10.3            0.590        0.42           2.80     0.090
##  [325,]          10.0            0.490        0.20          11.00     0.071
##  [326,]          10.0            0.490        0.20          11.00     0.071
##  [327,]          11.6            0.530        0.66           3.65     0.121
##  [328,]          10.3            0.440        0.50           4.50     0.107
##  [329,]          13.4            0.270        0.62           2.60     0.082
##  [330,]          10.7            0.460        0.39           2.00     0.061
##  [331,]          10.2            0.360        0.64           2.90     0.122
##  [332,]          10.2            0.360        0.64           2.90     0.122
##  [333,]           8.0            0.580        0.28           3.20     0.066
##  [334,]           8.4            0.560        0.08           2.10     0.105
##  [335,]           7.9            0.650        0.01           2.50     0.078
##  [336,]          11.9            0.695        0.53           3.40     0.128
##  [337,]           8.9            0.430        0.45           1.90     0.052
##  [338,]           7.8            0.430        0.32           2.80     0.080
##  [339,]          12.4            0.490        0.58           3.00     0.103
##  [340,]          12.5            0.280        0.54           2.30     0.082
##  [341,]          12.2            0.340        0.50           2.40     0.066
##  [342,]          10.6            0.420        0.48           2.70     0.065
##  [343,]          10.9            0.390        0.47           1.80     0.118
##  [344,]          10.9            0.390        0.47           1.80     0.118
##  [345,]          11.9            0.570        0.50           2.60     0.082
##  [346,]           7.0            0.685        0.00           1.90     0.067
##  [347,]           6.6            0.815        0.02           2.70     0.072
##  [348,]          13.8            0.490        0.67           3.00     0.093
##  [349,]           9.6            0.560        0.31           2.80     0.089
##  [350,]           9.1            0.785        0.00           2.60     0.093
##  [351,]          10.7            0.670        0.22           2.70     0.107
##  [352,]           9.1            0.795        0.00           2.60     0.096
##  [353,]           7.7            0.665        0.00           2.40     0.090
##  [354,]          13.5            0.530        0.79           4.80     0.120
##  [355,]           6.1            0.210        0.40           1.40     0.066
##  [356,]           6.7            0.750        0.01           2.40     0.078
##  [357,]          11.5            0.410        0.52           3.00     0.080
##  [358,]          10.5            0.420        0.66           2.95     0.116
##  [359,]          11.9            0.430        0.66           3.10     0.109
##  [360,]          12.6            0.380        0.66           2.60     0.088
##  [361,]           8.2            0.700        0.23           2.00     0.099
##  [362,]           8.6            0.450        0.31           2.60     0.086
##  [363,]          11.9            0.580        0.66           2.50     0.072
##  [364,]          12.5            0.460        0.63           2.00     0.071
##  [365,]          12.8            0.615        0.66           5.80     0.083
##  [366,]          10.0            0.420        0.50           3.40     0.107
##  [367,]          12.8            0.615        0.66           5.80     0.083
##  [368,]          10.4            0.575        0.61           2.60     0.076
##  [369,]          10.3            0.340        0.52           2.80     0.159
##  [370,]           9.4            0.270        0.53           2.40     0.074
##  [371,]           6.9            0.765        0.02           2.30     0.063
##  [372,]           7.9            0.240        0.40           1.60     0.056
##  [373,]           9.1            0.280        0.48           1.80     0.067
##  [374,]           7.4            0.550        0.22           2.20     0.106
##  [375,]          14.0            0.410        0.63           3.80     0.089
##  [376,]          11.5            0.540        0.71           4.40     0.124
##  [377,]          11.5            0.450        0.50           3.00     0.078
##  [378,]           9.4            0.270        0.53           2.40     0.074
##  [379,]          11.4            0.625        0.66           6.20     0.088
##  [380,]           8.3            0.420        0.38           2.50     0.094
##  [381,]           8.3            0.260        0.42           2.00     0.080
##  [382,]          13.7            0.415        0.68           2.90     0.085
##  [383,]           8.3            0.260        0.42           2.00     0.080
##  [384,]           8.3            0.260        0.42           2.00     0.080
##  [385,]           7.7            0.510        0.28           2.10     0.087
##  [386,]           7.4            0.630        0.07           2.40     0.090
##  [387,]           7.8            0.540        0.26           2.00     0.088
##  [388,]           8.3            0.660        0.15           1.90     0.079
##  [389,]           7.8            0.460        0.26           1.90     0.088
##  [390,]           9.6            0.380        0.31           2.50     0.096
##  [391,]           5.6            0.850        0.05           1.40     0.045
##  [392,]          13.7            0.415        0.68           2.90     0.085
##  [393,]           9.5            0.370        0.52           2.00     0.082
##  [394,]           8.4            0.665        0.61           2.00     0.112
##  [395,]          12.7            0.600        0.65           2.30     0.063
##  [396,]          12.0            0.370        0.76           4.20     0.066
##  [397,]           6.6            0.735        0.02           7.90     0.122
##  [398,]          11.5            0.590        0.59           2.60     0.087
##  [399,]          11.5            0.590        0.59           2.60     0.087
##  [400,]           8.7            0.765        0.22           2.30     0.064
##  [401,]           6.6            0.735        0.02           7.90     0.122
##  [402,]           7.7            0.260        0.30           1.70     0.059
##  [403,]          12.2            0.480        0.54           2.60     0.085
##  [404,]          11.4            0.600        0.49           2.70     0.085
##  [405,]           7.7            0.690        0.05           2.70     0.075
##  [406,]           8.7            0.310        0.46           1.40     0.059
##  [407,]           9.8            0.440        0.47           2.50     0.063
##  [408,]          12.0            0.390        0.66           3.00     0.093
##  [409,]          10.4            0.340        0.58           3.70     0.174
##  [410,]          12.5            0.460        0.49           4.50     0.070
##  [411,]           9.0            0.430        0.34           2.50     0.080
##  [412,]           9.1            0.450        0.35           2.40     0.080
##  [413,]           7.1            0.735        0.16           1.90     0.100
##  [414,]           9.9            0.400        0.53           6.70     0.097
##  [415,]           8.8            0.520        0.34           2.70     0.087
##  [416,]           8.6            0.725        0.24           6.60     0.117
##  [417,]          10.6            0.480        0.64           2.20     0.111
##  [418,]           7.0            0.580        0.12           1.90     0.091
##  [419,]          11.9            0.380        0.51           2.00     0.121
##  [420,]           6.8            0.770        0.00           1.80     0.066
##  [421,]           9.5            0.560        0.33           2.40     0.089
##  [422,]           6.6            0.840        0.03           2.30     0.059
##  [423,]           7.7            0.960        0.20           2.00     0.047
##  [424,]          10.5            0.240        0.47           2.10     0.066
##  [425,]           7.7            0.960        0.20           2.00     0.047
##  [426,]           6.6            0.840        0.03           2.30     0.059
##  [427,]           6.4            0.670        0.08           2.10     0.045
##  [428,]           9.5            0.780        0.22           1.90     0.077
##  [429,]           9.1            0.520        0.33           1.30     0.070
##  [430,]          12.8            0.840        0.63           2.40     0.088
##  [431,]          10.5            0.240        0.47           2.10     0.066
##  [432,]           7.8            0.550        0.35           2.20     0.074
##  [433,]          11.9            0.370        0.69           2.30     0.078
##  [434,]          12.3            0.390        0.63           2.30     0.091
##  [435,]          10.4            0.410        0.55           3.20     0.076
##  [436,]          12.3            0.390        0.63           2.30     0.091
##  [437,]           8.0            0.670        0.30           2.00     0.060
##  [438,]          11.1            0.450        0.73           3.20     0.066
##  [439,]          10.4            0.410        0.55           3.20     0.076
##  [440,]           7.0            0.620        0.18           1.50     0.062
##  [441,]          12.6            0.310        0.72           2.20     0.072
##  [442,]          11.9            0.400        0.65           2.15     0.068
##  [443,]          15.6            0.685        0.76           3.70     0.100
##  [444,]          10.0            0.440        0.49           2.70     0.077
##  [445,]           5.3            0.570        0.01           1.70     0.054
##  [446,]           9.5            0.735        0.10           2.10     0.079
##  [447,]          12.5            0.380        0.60           2.60     0.081
##  [448,]           9.3            0.480        0.29           2.10     0.127
##  [449,]           8.6            0.530        0.22           2.00     0.100
##  [450,]          11.9            0.390        0.69           2.80     0.095
##  [451,]          11.9            0.390        0.69           2.80     0.095
##  [452,]           8.4            0.370        0.53           1.80     0.413
##  [453,]           6.8            0.560        0.03           1.70     0.084
##  [454,]          10.4            0.330        0.63           2.80     0.084
##  [455,]           7.0            0.230        0.40           1.60     0.063
##  [456,]          11.3            0.620        0.67           5.20     0.086
##  [457,]           8.9            0.590        0.39           2.30     0.095
##  [458,]           9.2            0.630        0.21           2.70     0.097
##  [459,]          10.4            0.330        0.63           2.80     0.084
##  [460,]          11.6            0.580        0.66           2.20     0.074
##  [461,]           9.2            0.430        0.52           2.30     0.083
##  [462,]           8.3            0.615        0.22           2.60     0.087
##  [463,]          11.0            0.260        0.68           2.55     0.085
##  [464,]           8.1            0.660        0.70           2.20     0.098
##  [465,]          11.5            0.315        0.54           2.10     0.084
##  [466,]          10.0            0.290        0.40           2.90     0.098
##  [467,]          10.3            0.500        0.42           2.00     0.069
##  [468,]           8.8            0.460        0.45           2.60     0.065
##  [469,]          11.4            0.360        0.69           2.10     0.090
##  [470,]           8.7            0.820        0.02           1.20     0.070
##  [471,]          13.0            0.320        0.65           2.60     0.093
##  [472,]           9.6            0.540        0.42           2.40     0.081
##  [473,]          12.5            0.370        0.55           2.60     0.083
##  [474,]           9.9            0.350        0.55           2.10     0.062
##  [475,]          10.5            0.280        0.51           1.70     0.080
##  [476,]           9.6            0.680        0.24           2.20     0.087
##  [477,]           9.3            0.270        0.41           2.00     0.091
##  [478,]          10.4            0.240        0.49           1.80     0.075
##  [479,]           9.6            0.680        0.24           2.20     0.087
##  [480,]           9.4            0.685        0.11           2.70     0.077
##  [481,]          10.6            0.280        0.39          15.50     0.069
##  [482,]           9.4            0.300        0.56           2.80     0.080
##  [483,]          10.6            0.360        0.59           2.20     0.152
##  [484,]          10.6            0.360        0.60           2.20     0.152
##  [485,]          10.6            0.440        0.68           4.10     0.114
##  [486,]          10.2            0.670        0.39           1.90     0.054
##  [487,]          10.2            0.670        0.39           1.90     0.054
##  [488,]          10.2            0.645        0.36           1.80     0.053
##  [489,]          11.6            0.320        0.55           2.80     0.081
##  [490,]           9.3            0.390        0.40           2.60     0.073
##  [491,]           9.3            0.775        0.27           2.80     0.078
##  [492,]           9.2            0.410        0.50           2.50     0.055
##  [493,]           8.9            0.400        0.51           2.60     0.052
##  [494,]           8.7            0.690        0.31           3.00     0.086
##  [495,]           6.5            0.390        0.23           8.30     0.051
##  [496,]          10.7            0.350        0.53           2.60     0.070
##  [497,]           7.8            0.520        0.25           1.90     0.081
##  [498,]           7.2            0.340        0.32           2.50     0.090
##  [499,]          10.7            0.350        0.53           2.60     0.070
##  [500,]           8.7            0.690        0.31           3.00     0.086
##  [501,]           7.8            0.520        0.25           1.90     0.081
##  [502,]          10.4            0.440        0.73           6.55     0.074
##  [503,]          10.4            0.440        0.73           6.55     0.074
##  [504,]          10.5            0.260        0.47           1.90     0.078
##  [505,]          10.5            0.240        0.42           1.80     0.077
##  [506,]          10.2            0.490        0.63           2.90     0.072
##  [507,]          10.4            0.240        0.46           1.80     0.075
##  [508,]          11.2            0.670        0.55           2.30     0.084
##  [509,]          10.0            0.590        0.31           2.20     0.090
##  [510,]          13.3            0.290        0.75           2.80     0.084
##  [511,]          12.4            0.420        0.49           4.60     0.073
##  [512,]          10.0            0.590        0.31           2.20     0.090
##  [513,]          10.7            0.400        0.48           2.10     0.125
##  [514,]          10.5            0.510        0.64           2.40     0.107
##  [515,]          10.5            0.510        0.64           2.40     0.107
##  [516,]           8.5            0.655        0.49           6.10     0.122
##  [517,]          12.5            0.600        0.49           4.30     0.100
##  [518,]          10.4            0.610        0.49           2.10     0.200
##  [519,]          10.9            0.210        0.49           2.80     0.088
##  [520,]           7.3            0.365        0.49           2.50     0.088
##  [521,]           9.8            0.250        0.49           2.70     0.088
##  [522,]           7.6            0.410        0.49           2.00     0.088
##  [523,]           8.2            0.390        0.49           2.30     0.099
##  [524,]           9.3            0.400        0.49           2.50     0.085
##  [525,]           9.2            0.430        0.49           2.40     0.086
##  [526,]          10.4            0.640        0.24           2.80     0.105
##  [527,]           7.3            0.365        0.49           2.50     0.088
##  [528,]           7.0            0.380        0.49           2.50     0.097
##  [529,]           8.2            0.420        0.49           2.60     0.084
##  [530,]           9.9            0.630        0.24           2.40     0.077
##  [531,]           9.1            0.220        0.24           2.10     0.078
##  [532,]          11.9            0.380        0.49           2.70     0.098
##  [533,]          11.9            0.380        0.49           2.70     0.098
##  [534,]          10.3            0.270        0.24           2.10     0.072
##  [535,]          10.0            0.480        0.24           2.70     0.102
##  [536,]           9.1            0.220        0.24           2.10     0.078
##  [537,]           9.9            0.630        0.24           2.40     0.077
##  [538,]           8.1            0.825        0.24           2.10     0.084
##  [539,]          12.9            0.350        0.49           5.80     0.066
##  [540,]          11.2            0.500        0.74           5.15     0.100
##  [541,]           9.2            0.590        0.24           3.30     0.101
##  [542,]           9.5            0.460        0.49           6.30     0.064
##  [543,]           9.3            0.715        0.24           2.10     0.070
##  [544,]          11.2            0.660        0.24           2.50     0.085
##  [545,]          14.3            0.310        0.74           1.80     0.075
##  [546,]           9.1            0.470        0.49           2.60     0.094
##  [547,]           7.5            0.550        0.24           2.00     0.078
##  [548,]          10.6            0.310        0.49           2.50     0.067
##  [549,]          12.4            0.350        0.49           2.60     0.079
##  [550,]           9.0            0.530        0.49           1.90     0.171
##  [551,]           6.8            0.510        0.01           2.10     0.074
##  [552,]           9.4            0.430        0.24           2.80     0.092
##  [553,]           9.5            0.460        0.24           2.70     0.092
##  [554,]           5.0            1.040        0.24           1.60     0.050
##  [555,]          15.5            0.645        0.49           4.20     0.095
##  [556,]          15.5            0.645        0.49           4.20     0.095
##  [557,]          10.9            0.530        0.49           4.60     0.118
##  [558,]          15.6            0.645        0.49           4.20     0.095
##  [559,]          10.9            0.530        0.49           4.60     0.118
##  [560,]          13.0            0.470        0.49           4.30     0.085
##  [561,]          12.7            0.600        0.49           2.80     0.075
##  [562,]           9.0            0.440        0.49           2.40     0.078
##  [563,]           9.0            0.540        0.49           2.90     0.094
##  [564,]           7.6            0.290        0.49           2.70     0.092
##  [565,]          13.0            0.470        0.49           4.30     0.085
##  [566,]          12.7            0.600        0.49           2.80     0.075
##  [567,]           8.7            0.700        0.24           2.50     0.226
##  [568,]           8.7            0.700        0.24           2.50     0.226
##  [569,]           9.8            0.500        0.49           2.60     0.250
##  [570,]           6.2            0.360        0.24           2.20     0.095
##  [571,]          11.5            0.350        0.49           3.30     0.070
##  [572,]           6.2            0.360        0.24           2.20     0.095
##  [573,]          10.2            0.240        0.49           2.40     0.075
##  [574,]          10.5            0.590        0.49           2.10     0.070
##  [575,]          10.6            0.340        0.49           3.20     0.078
##  [576,]          12.3            0.270        0.49           3.10     0.079
##  [577,]           9.9            0.500        0.24           2.30     0.103
##  [578,]           8.8            0.440        0.49           2.80     0.083
##  [579,]           8.8            0.470        0.49           2.90     0.085
##  [580,]          10.6            0.310        0.49           2.20     0.063
##  [581,]          12.3            0.500        0.49           2.20     0.089
##  [582,]          12.3            0.500        0.49           2.20     0.089
##  [583,]          11.7            0.490        0.49           2.20     0.083
##  [584,]          12.0            0.280        0.49           1.90     0.074
##  [585,]          11.8            0.330        0.49           3.40     0.093
##  [586,]           7.6            0.510        0.24           2.40     0.091
##  [587,]          11.1            0.310        0.49           2.70     0.094
##  [588,]           7.3            0.730        0.24           1.90     0.108
##  [589,]           5.0            0.420        0.24           2.00     0.060
##  [590,]          10.2            0.290        0.49           2.60     0.059
##  [591,]           9.0            0.450        0.49           2.60     0.084
##  [592,]           6.6            0.390        0.49           1.70     0.070
##  [593,]           9.0            0.450        0.49           2.60     0.084
##  [594,]           9.9            0.490        0.58           3.50     0.094
##  [595,]           7.9            0.720        0.17           2.60     0.096
##  [596,]           8.9            0.595        0.41           7.90     0.086
##  [597,]          12.4            0.400        0.51           2.00     0.059
##  [598,]          11.9            0.580        0.58           1.90     0.071
##  [599,]           8.5            0.585        0.18           2.10     0.078
##  [600,]          12.7            0.590        0.45           2.30     0.082
##  [601,]           8.2            0.915        0.27           2.10     0.088
##  [602,]          13.2            0.460        0.52           2.20     0.071
##  [603,]           7.7            0.835        0.00           2.60     0.081
##  [604,]          13.2            0.460        0.52           2.20     0.071
##  [605,]           8.3            0.580        0.13           2.90     0.096
##  [606,]           8.3            0.600        0.13           2.60     0.085
##  [607,]           9.4            0.410        0.48           4.60     0.072
##  [608,]           8.8            0.480        0.41           3.30     0.092
##  [609,]          10.1            0.650        0.37           5.10     0.110
##  [610,]           6.3            0.360        0.19           3.20     0.075
##  [611,]           8.8            0.240        0.54           2.50     0.083
##  [612,]          13.2            0.380        0.55           2.70     0.081
##  [613,]           7.5            0.640        0.00           2.40     0.077
##  [614,]           8.2            0.390        0.38           1.50     0.058
##  [615,]           9.2            0.755        0.18           2.20     0.148
##  [616,]           9.6            0.600        0.50           2.30     0.079
##  [617,]           9.6            0.600        0.50           2.30     0.079
##  [618,]          11.5            0.310        0.51           2.20     0.079
##  [619,]          11.4            0.460        0.50           2.70     0.122
##  [620,]          11.3            0.370        0.41           2.30     0.088
##  [621,]           8.3            0.540        0.24           3.40     0.076
##  [622,]           8.2            0.560        0.23           3.40     0.078
##  [623,]          10.0            0.580        0.22           1.90     0.080
##  [624,]           7.9            0.510        0.25           2.90     0.077
##  [625,]           6.8            0.690        0.00           5.60     0.124
##  [626,]           6.8            0.690        0.00           5.60     0.124
##  [627,]           8.8            0.600        0.29           2.20     0.098
##  [628,]           8.8            0.600        0.29           2.20     0.098
##  [629,]           8.7            0.540        0.26           2.50     0.097
##  [630,]           7.6            0.685        0.23           2.30     0.111
##  [631,]           8.7            0.540        0.26           2.50     0.097
##  [632,]          10.4            0.280        0.54           2.70     0.105
##  [633,]           7.6            0.410        0.14           3.00     0.087
##  [634,]          10.1            0.935        0.22           3.40     0.105
##  [635,]           7.9            0.350        0.21           1.90     0.073
##  [636,]           8.7            0.840        0.00           1.40     0.065
##  [637,]           9.6            0.880        0.28           2.40     0.086
##  [638,]           9.5            0.885        0.27           2.30     0.084
##  [639,]           7.7            0.915        0.12           2.20     0.143
##  [640,]           8.9            0.290        0.35           1.90     0.067
##  [641,]           9.9            0.540        0.45           2.30     0.071
##  [642,]           9.5            0.590        0.44           2.30     0.071
##  [643,]           9.9            0.540        0.45           2.30     0.071
##  [644,]           9.5            0.590        0.44           2.30     0.071
##  [645,]           9.9            0.540        0.45           2.30     0.071
##  [646,]           7.8            0.640        0.10           6.00     0.115
##  [647,]           7.3            0.670        0.05           3.60     0.107
##  [648,]           8.3            0.845        0.01           2.20     0.070
##  [649,]           8.7            0.480        0.30           2.80     0.066
##  [650,]           6.7            0.420        0.27           8.60     0.068
##  [651,]          10.7            0.430        0.39           2.20     0.106
##  [652,]           9.8            0.880        0.25           2.50     0.104
##  [653,]          15.9            0.360        0.65           7.50     0.096
##  [654,]           9.4            0.330        0.59           2.80     0.079
##  [655,]           8.6            0.470        0.47           2.40     0.074
##  [656,]           9.7            0.550        0.17           2.90     0.087
##  [657,]          10.7            0.430        0.39           2.20     0.106
##  [658,]          12.0            0.500        0.59           1.40     0.073
##  [659,]           7.2            0.520        0.07           1.40     0.074
##  [660,]           7.1            0.840        0.02           4.40     0.096
##  [661,]           7.2            0.520        0.07           1.40     0.074
##  [662,]           7.5            0.420        0.31           1.60     0.080
##  [663,]           7.2            0.570        0.06           1.60     0.076
##  [664,]          10.1            0.280        0.46           1.80     0.050
##  [665,]          12.1            0.400        0.52           2.00     0.092
##  [666,]           9.4            0.590        0.14           2.00     0.084
##  [667,]           8.3            0.490        0.36           1.80     0.222
##  [668,]          11.3            0.340        0.45           2.00     0.082
##  [669,]          10.0            0.730        0.43           2.30     0.059
##  [670,]          11.3            0.340        0.45           2.00     0.082
##  [671,]           6.9            0.400        0.24           2.50     0.083
##  [672,]           8.2            0.730        0.21           1.70     0.074
##  [673,]           9.8            1.240        0.34           2.00     0.079
##  [674,]           8.2            0.730        0.21           1.70     0.074
##  [675,]          10.8            0.400        0.41           2.20     0.084
##  [676,]           9.3            0.410        0.39           2.20     0.064
##  [677,]          10.8            0.400        0.41           2.20     0.084
##  [678,]           8.6            0.800        0.11           2.30     0.084
##  [679,]           8.3            0.780        0.10           2.60     0.081
##  [680,]          10.8            0.260        0.45           3.30     0.060
##  [681,]          13.3            0.430        0.58           1.90     0.070
##  [682,]           8.0            0.450        0.23           2.20     0.094
##  [683,]           8.5            0.460        0.31           2.25     0.078
##  [684,]           8.1            0.780        0.23           2.60     0.059
##  [685,]           9.8            0.980        0.32           2.30     0.078
##  [686,]           8.1            0.780        0.23           2.60     0.059
##  [687,]           7.1            0.650        0.18           1.80     0.070
##  [688,]           9.1            0.640        0.23           3.10     0.095
##  [689,]           7.7            0.660        0.04           1.60     0.039
##  [690,]           8.1            0.380        0.48           1.80     0.157
##  [691,]           7.4            1.185        0.00           4.25     0.097
##  [692,]           9.2            0.920        0.24           2.60     0.087
##  [693,]           8.6            0.490        0.51           2.00     0.422
##  [694,]           9.0            0.480        0.32           2.80     0.084
##  [695,]           9.0            0.470        0.31           2.70     0.084
##  [696,]           5.1            0.470        0.02           1.30     0.034
##  [697,]           7.0            0.650        0.02           2.10     0.066
##  [698,]           7.0            0.650        0.02           2.10     0.066
##  [699,]           9.4            0.615        0.28           3.20     0.087
##  [700,]          11.8            0.380        0.55           2.10     0.071
##  [701,]          10.6            1.020        0.43           2.90     0.076
##  [702,]           7.0            0.650        0.02           2.10     0.066
##  [703,]           7.0            0.640        0.02           2.10     0.067
##  [704,]           7.5            0.380        0.48           2.60     0.073
##  [705,]           9.1            0.765        0.04           1.60     0.078
##  [706,]           8.4            1.035        0.15           6.00     0.073
##  [707,]           7.0            0.780        0.08           2.00     0.093
##  [708,]           7.4            0.490        0.19           3.00     0.077
##  [709,]           7.8            0.545        0.12           2.50     0.068
##  [710,]           9.7            0.310        0.47           1.60     0.062
##  [711,]          10.6            1.025        0.43           2.80     0.080
##  [712,]           8.9            0.565        0.34           3.00     0.093
##  [713,]           8.7            0.690        0.00           3.20     0.084
##  [714,]           8.0            0.430        0.36           2.30     0.075
##  [715,]           9.9            0.740        0.28           2.60     0.078
##  [716,]           7.2            0.490        0.18           2.70     0.069
##  [717,]           8.0            0.430        0.36           2.30     0.075
##  [718,]           7.6            0.460        0.11           2.60     0.079
##  [719,]           8.4            0.560        0.04           2.00     0.082
##  [720,]           7.1            0.660        0.00           3.90     0.086
##  [721,]           8.4            0.560        0.04           2.00     0.082
##  [722,]           8.9            0.480        0.24           2.85     0.094
##  [723,]           7.6            0.420        0.08           2.70     0.084
##  [724,]           7.1            0.310        0.30           2.20     0.053
##  [725,]           7.5            1.115        0.10           3.10     0.086
##  [726,]           9.0            0.660        0.17           3.00     0.077
##  [727,]           8.1            0.720        0.09           2.80     0.084
##  [728,]           6.4            0.570        0.02           1.80     0.067
##  [729,]           6.4            0.570        0.02           1.80     0.067
##  [730,]           6.4            0.865        0.03           3.20     0.071
##  [731,]           9.5            0.550        0.66           2.30     0.387
##  [732,]           8.9            0.875        0.13           3.45     0.088
##  [733,]           7.3            0.835        0.03           2.10     0.092
##  [734,]           7.0            0.450        0.34           2.70     0.082
##  [735,]           7.7            0.560        0.20           2.00     0.075
##  [736,]           7.7            0.965        0.10           2.10     0.112
##  [737,]           7.7            0.965        0.10           2.10     0.112
##  [738,]           8.2            0.590        0.00           2.50     0.093
##  [739,]           9.0            0.460        0.23           2.80     0.092
##  [740,]           9.0            0.690        0.00           2.40     0.088
##  [741,]           8.3            0.760        0.29           4.20     0.075
##  [742,]           9.2            0.530        0.24           2.60     0.078
##  [743,]           6.5            0.615        0.00           1.90     0.065
##  [744,]          11.6            0.410        0.58           2.80     0.096
##  [745,]          11.1            0.390        0.54           2.70     0.095
##  [746,]           7.3            0.510        0.18           2.10     0.070
##  [747,]           8.2            0.340        0.38           2.50     0.080
##  [748,]           8.6            0.330        0.40           2.60     0.083
##  [749,]           7.2            0.500        0.18           2.10     0.071
##  [750,]           7.3            0.510        0.18           2.10     0.070
##  [751,]           8.3            0.650        0.10           2.90     0.089
##  [752,]           8.3            0.650        0.10           2.90     0.089
##  [753,]           7.6            0.540        0.13           2.50     0.097
##  [754,]           8.3            0.650        0.10           2.90     0.089
##  [755,]           7.8            0.480        0.68           1.70     0.415
##  [756,]           7.8            0.910        0.07           1.90     0.058
##  [757,]           6.3            0.980        0.01           2.00     0.057
##  [758,]           8.1            0.870        0.00           2.20     0.084
##  [759,]           8.1            0.870        0.00           2.20     0.084
##  [760,]           8.8            0.420        0.21           2.50     0.092
##  [761,]           9.0            0.580        0.25           2.80     0.075
##  [762,]           9.3            0.655        0.26           2.00     0.096
##  [763,]           8.8            0.700        0.00           1.70     0.069
##  [764,]           9.3            0.655        0.26           2.00     0.096
##  [765,]           9.1            0.680        0.11           2.80     0.093
##  [766,]           9.2            0.670        0.10           3.00     0.091
##  [767,]           8.8            0.590        0.18           2.90     0.089
##  [768,]           7.5            0.600        0.32           2.70     0.103
##  [769,]           7.1            0.590        0.02           2.30     0.082
##  [770,]           7.9            0.720        0.01           1.90     0.076
##  [771,]           7.1            0.590        0.02           2.30     0.082
##  [772,]           9.4            0.685        0.26           2.40     0.082
##  [773,]           9.5            0.570        0.27           2.30     0.082
##  [774,]           7.9            0.400        0.29           1.80     0.157
##  [775,]           7.9            0.400        0.30           1.80     0.157
##  [776,]           7.2            1.000        0.00           3.00     0.102
##  [777,]           6.9            0.765        0.18           2.40     0.243
##  [778,]           6.9            0.635        0.17           2.40     0.241
##  [779,]           8.3            0.430        0.30           3.40     0.079
##  [780,]           7.1            0.520        0.03           2.60     0.076
##  [781,]           7.0            0.570        0.00           2.00     0.190
##  [782,]           6.5            0.460        0.14           2.40     0.114
##  [783,]           9.0            0.820        0.05           2.40     0.081
##  [784,]           6.5            0.460        0.14           2.40     0.114
##  [785,]           7.1            0.590        0.01           2.50     0.077
##  [786,]           9.9            0.350        0.41           2.30     0.083
##  [787,]           9.9            0.350        0.41           2.30     0.083
##  [788,]          10.0            0.560        0.24           2.20     0.079
##  [789,]          10.0            0.560        0.24           2.20     0.079
##  [790,]           8.6            0.630        0.17           2.90     0.099
##  [791,]           7.4            0.370        0.43           2.60     0.082
##  [792,]           8.8            0.640        0.17           2.90     0.084
##  [793,]           7.1            0.610        0.02           2.50     0.081
##  [794,]           7.7            0.600        0.00           2.60     0.055
##  [795,]          10.1            0.270        0.54           2.30     0.065
##  [796,]          10.8            0.890        0.30           2.60     0.132
##  [797,]           8.7            0.460        0.31           2.50     0.126
##  [798,]           9.3            0.370        0.44           1.60     0.038
##  [799,]           9.4            0.500        0.34           3.60     0.082
##  [800,]           9.4            0.500        0.34           3.60     0.082
##  [801,]           7.2            0.610        0.08           4.00     0.082
##  [802,]           8.6            0.550        0.09           3.30     0.068
##  [803,]           5.1            0.585        0.00           1.70     0.044
##  [804,]           7.7            0.560        0.08           2.50     0.114
##  [805,]           8.4            0.520        0.22           2.70     0.084
##  [806,]           8.2            0.280        0.40           2.40     0.052
##  [807,]           8.4            0.250        0.39           2.00     0.041
##  [808,]           8.2            0.280        0.40           2.40     0.052
##  [809,]           7.4            0.530        0.12           1.90     0.165
##  [810,]           7.6            0.480        0.31           2.80     0.070
##  [811,]           7.3            0.490        0.10           2.60     0.068
##  [812,]          12.9            0.500        0.55           2.80     0.072
##  [813,]          10.8            0.450        0.33           2.50     0.099
##  [814,]           6.9            0.390        0.24           2.10     0.102
##  [815,]          12.6            0.410        0.54           2.80     0.103
##  [816,]          10.8            0.450        0.33           2.50     0.099
##  [817,]           9.8            0.510        0.19           3.20     0.081
##  [818,]          10.8            0.290        0.42           1.60     0.084
##  [819,]           7.1            0.715        0.00           2.35     0.071
##  [820,]           9.1            0.660        0.15           3.20     0.097
##  [821,]           7.0            0.685        0.00           1.90     0.099
##  [822,]           4.9            0.420        0.00           2.10     0.048
##  [823,]           6.7            0.540        0.13           2.00     0.076
##  [824,]           6.7            0.540        0.13           2.00     0.076
##  [825,]           7.1            0.480        0.28           2.80     0.068
##  [826,]           7.1            0.460        0.14           2.80     0.076
##  [827,]           7.5            0.270        0.34           2.30     0.050
##  [828,]           7.1            0.460        0.14           2.80     0.076
##  [829,]           7.8            0.570        0.09           2.30     0.065
##  [830,]           5.9            0.610        0.08           2.10     0.071
##  [831,]           7.5            0.685        0.07           2.50     0.058
##  [832,]           5.9            0.610        0.08           2.10     0.071
##  [833,]          10.4            0.440        0.42           1.50     0.145
##  [834,]          11.6            0.470        0.44           1.60     0.147
##  [835,]           8.8            0.685        0.26           1.60     0.088
##  [836,]           7.6            0.665        0.10           1.50     0.066
##  [837,]           6.7            0.280        0.28           2.40     0.012
##  [838,]           6.7            0.280        0.28           2.40     0.012
##  [839,]          10.1            0.310        0.35           1.60     0.075
##  [840,]           6.0            0.500        0.04           2.20     0.092
##  [841,]          11.1            0.420        0.47           2.65     0.085
##  [842,]           6.6            0.660        0.00           3.00     0.115
##  [843,]          10.6            0.500        0.45           2.60     0.119
##  [844,]           7.1            0.685        0.35           2.00     0.088
##  [845,]           9.9            0.250        0.46           1.70     0.062
##  [846,]           6.4            0.640        0.21           1.80     0.081
##  [847,]           6.4            0.640        0.21           1.80     0.081
##  [848,]           7.4            0.680        0.16           1.80     0.078
##  [849,]           6.4            0.640        0.21           1.80     0.081
##  [850,]           6.4            0.630        0.21           1.60     0.080
##  [851,]           9.3            0.430        0.44           1.90     0.085
##  [852,]           9.3            0.430        0.44           1.90     0.085
##  [853,]           8.0            0.420        0.32           2.50     0.080
##  [854,]           9.3            0.360        0.39           1.50     0.080
##  [855,]           9.3            0.360        0.39           1.50     0.080
##  [856,]           7.6            0.735        0.02           2.50     0.071
##  [857,]           9.3            0.360        0.39           1.50     0.080
##  [858,]           8.2            0.260        0.34           2.50     0.073
##  [859,]          11.7            0.280        0.47           1.70     0.054
##  [860,]           6.8            0.560        0.22           1.80     0.074
##  [861,]           7.2            0.620        0.06           2.70     0.077
##  [862,]           5.8            1.010        0.66           2.00     0.039
##  [863,]           7.5            0.420        0.32           2.70     0.067
##  [864,]           7.2            0.620        0.06           2.50     0.078
##  [865,]           7.2            0.620        0.06           2.70     0.077
##  [866,]           7.2            0.635        0.07           2.60     0.077
##  [867,]           6.8            0.490        0.22           2.30     0.071
##  [868,]           6.9            0.510        0.23           2.00     0.072
##  [869,]           6.8            0.560        0.22           1.80     0.074
##  [870,]           7.6            0.630        0.03           2.00     0.080
##  [871,]           7.7            0.715        0.01           2.10     0.064
##  [872,]           6.9            0.560        0.03           1.50     0.086
##  [873,]           7.3            0.350        0.24           2.00     0.067
##  [874,]           9.1            0.210        0.37           1.60     0.067
##  [875,]          10.4            0.380        0.46           2.10     0.104
##  [876,]           8.8            0.310        0.40           2.80     0.109
##  [877,]           7.1            0.470        0.00           2.20     0.067
##  [878,]           7.7            0.715        0.01           2.10     0.064
##  [879,]           8.8            0.610        0.19           4.00     0.094
##  [880,]           7.2            0.600        0.04           2.50     0.076
##  [881,]           9.2            0.560        0.18           1.60     0.078
##  [882,]           7.6            0.715        0.00           2.10     0.068
##  [883,]           8.4            0.310        0.29           3.10     0.194
##  [884,]           7.2            0.600        0.04           2.50     0.076
##  [885,]           8.8            0.610        0.19           4.00     0.094
##  [886,]           8.9            0.750        0.14           2.50     0.086
##  [887,]           9.0            0.800        0.12           2.40     0.083
##  [888,]          10.7            0.520        0.38           2.60     0.066
##  [889,]           6.8            0.570        0.00           2.50     0.072
##  [890,]          10.7            0.900        0.34           6.60     0.112
##  [891,]           7.2            0.340        0.24           2.00     0.071
##  [892,]           7.2            0.660        0.03           2.30     0.078
##  [893,]          10.1            0.450        0.23           1.90     0.082
##  [894,]           7.2            0.660        0.03           2.30     0.078
##  [895,]           7.2            0.630        0.03           2.20     0.080
##  [896,]           7.1            0.590        0.01           2.30     0.080
##  [897,]           8.3            0.310        0.39           2.40     0.078
##  [898,]           7.1            0.590        0.01           2.30     0.080
##  [899,]           8.3            0.310        0.39           2.40     0.078
##  [900,]           8.3            1.020        0.02           3.40     0.084
##  [901,]           8.9            0.310        0.36           2.60     0.056
##  [902,]           7.4            0.635        0.10           2.40     0.080
##  [903,]           7.4            0.635        0.10           2.40     0.080
##  [904,]           6.8            0.590        0.06           6.00     0.060
##  [905,]           6.8            0.590        0.06           6.00     0.060
##  [906,]           9.2            0.580        0.20           3.00     0.081
##  [907,]           7.2            0.540        0.27           2.60     0.084
##  [908,]           6.1            0.560        0.00           2.20     0.079
##  [909,]           7.4            0.520        0.13           2.40     0.078
##  [910,]           7.3            0.305        0.39           1.20     0.059
##  [911,]           9.3            0.380        0.48           3.80     0.132
##  [912,]           9.1            0.280        0.46           9.00     0.114
##  [913,]          10.0            0.460        0.44           2.90     0.065
##  [914,]           9.4            0.395        0.46           4.60     0.094
##  [915,]           7.3            0.305        0.39           1.20     0.059
##  [916,]           8.6            0.315        0.40           2.20     0.079
##  [917,]           5.3            0.715        0.19           1.50     0.161
##  [918,]           6.8            0.410        0.31           8.80     0.084
##  [919,]           8.4            0.360        0.32           2.20     0.081
##  [920,]           8.4            0.620        0.12           1.80     0.072
##  [921,]           9.6            0.410        0.37           2.30     0.091
##  [922,]           8.4            0.360        0.32           2.20     0.081
##  [923,]           8.4            0.620        0.12           1.80     0.072
##  [924,]           6.8            0.410        0.31           8.80     0.084
##  [925,]           8.6            0.470        0.27           2.30     0.055
##  [926,]           8.6            0.220        0.36           1.90     0.064
##  [927,]           9.4            0.240        0.33           2.30     0.061
##  [928,]           8.4            0.670        0.19           2.20     0.093
##  [929,]           8.6            0.470        0.27           2.30     0.055
##  [930,]           8.7            0.330        0.38           3.30     0.063
##  [931,]           6.6            0.610        0.01           1.90     0.080
##  [932,]           7.4            0.610        0.01           2.00     0.074
##  [933,]           7.6            0.400        0.29           1.90     0.078
##  [934,]           7.4            0.610        0.01           2.00     0.074
##  [935,]           6.6            0.610        0.01           1.90     0.080
##  [936,]           8.8            0.300        0.38           2.30     0.060
##  [937,]           8.8            0.300        0.38           2.30     0.060
##  [938,]          12.0            0.630        0.50           1.40     0.071
##  [939,]           7.2            0.380        0.38           2.80     0.068
##  [940,]           6.2            0.460        0.17           1.60     0.073
##  [941,]           9.6            0.330        0.52           2.20     0.074
##  [942,]           9.9            0.270        0.49           5.00     0.082
##  [943,]          10.1            0.430        0.40           2.60     0.092
##  [944,]           9.8            0.500        0.34           2.30     0.094
##  [945,]           8.3            0.300        0.49           3.80     0.090
##  [946,]          10.2            0.440        0.42           2.00     0.071
##  [947,]          10.2            0.440        0.58           4.10     0.092
##  [948,]           8.3            0.280        0.48           2.10     0.093
##  [949,]           8.9            0.120        0.45           1.80     0.075
##  [950,]           8.9            0.120        0.45           1.80     0.075
##  [951,]           8.9            0.120        0.45           1.80     0.075
##  [952,]           8.3            0.280        0.48           2.10     0.093
##  [953,]           8.2            0.310        0.40           2.20     0.058
##  [954,]          10.2            0.340        0.48           2.10     0.052
##  [955,]           7.6            0.430        0.40           2.70     0.082
##  [956,]           8.5            0.210        0.52           1.90     0.090
##  [957,]           9.0            0.360        0.52           2.10     0.111
##  [958,]           9.5            0.370        0.52           2.00     0.088
##  [959,]           6.4            0.570        0.12           2.30     0.120
##  [960,]           8.0            0.590        0.05           2.00     0.089
##  [961,]           8.5            0.470        0.27           1.90     0.058
##  [962,]           7.1            0.560        0.14           1.60     0.078
##  [963,]           6.6            0.570        0.02           2.10     0.115
##  [964,]           8.8            0.270        0.39           2.00     0.100
##  [965,]           8.5            0.470        0.27           1.90     0.058
##  [966,]           8.3            0.340        0.40           2.40     0.065
##  [967,]           9.0            0.380        0.41           2.40     0.103
##  [968,]           8.5            0.660        0.20           2.10     0.097
##  [969,]           9.0            0.400        0.43           2.40     0.068
##  [970,]           6.7            0.560        0.09           2.90     0.079
##  [971,]          10.4            0.260        0.48           1.90     0.066
##  [972,]          10.4            0.260        0.48           1.90     0.066
##  [973,]          10.1            0.380        0.50           2.40     0.104
##  [974,]           8.5            0.340        0.44           1.70     0.079
##  [975,]           8.8            0.330        0.41           5.90     0.073
##  [976,]           7.2            0.410        0.30           2.10     0.083
##  [977,]           7.2            0.410        0.30           2.10     0.083
##  [978,]           8.4            0.590        0.29           2.60     0.109
##  [979,]           7.0            0.400        0.32           3.60     0.061
##  [980,]          12.2            0.450        0.49           1.40     0.075
##  [981,]           9.1            0.500        0.30           1.90     0.065
##  [982,]           9.5            0.860        0.26           1.90     0.079
##  [983,]           7.3            0.520        0.32           2.10     0.070
##  [984,]           9.1            0.500        0.30           1.90     0.065
##  [985,]          12.2            0.450        0.49           1.40     0.075
##  [986,]           7.4            0.580        0.00           2.00     0.064
##  [987,]           9.8            0.340        0.39           1.40     0.066
##  [988,]           7.1            0.360        0.30           1.60     0.080
##  [989,]           7.7            0.390        0.12           1.70     0.097
##  [990,]           9.7            0.295        0.40           1.50     0.073
##  [991,]           7.7            0.390        0.12           1.70     0.097
##  [992,]           7.1            0.340        0.28           2.00     0.082
##  [993,]           6.5            0.400        0.10           2.00     0.076
##  [994,]           7.1            0.340        0.28           2.00     0.082
##  [995,]          10.0            0.350        0.45           2.50     0.092
##  [996,]           7.7            0.600        0.06           2.00     0.079
##  [997,]           5.6            0.660        0.00           2.20     0.087
##  [998,]           5.6            0.660        0.00           2.20     0.087
##  [999,]           8.9            0.840        0.34           1.40     0.050
## [1000,]           6.4            0.690        0.00           1.65     0.055
## [1001,]           7.5            0.430        0.30           2.20     0.062
## [1002,]           9.9            0.350        0.38           1.50     0.058
## [1003,]           9.1            0.290        0.33           2.05     0.063
## [1004,]           6.8            0.360        0.32           1.80     0.067
## [1005,]           8.2            0.430        0.29           1.60     0.081
## [1006,]           6.8            0.360        0.32           1.80     0.067
## [1007,]           9.1            0.290        0.33           2.05     0.063
## [1008,]           9.1            0.300        0.34           2.00     0.064
## [1009,]           8.9            0.350        0.40           3.60     0.110
## [1010,]           9.6            0.500        0.36           2.80     0.116
## [1011,]           8.9            0.280        0.45           1.70     0.067
## [1012,]           8.9            0.320        0.31           2.00     0.088
## [1013,]           7.7            1.005        0.15           2.10     0.102
## [1014,]           7.5            0.710        0.00           1.60     0.092
## [1015,]           8.0            0.580        0.16           2.00     0.120
## [1016,]          10.5            0.390        0.46           2.20     0.075
## [1017,]           8.9            0.380        0.40           2.20     0.068
## [1018,]           8.0            0.180        0.37           0.90     0.049
## [1019,]           8.0            0.180        0.37           0.90     0.049
## [1020,]           7.0            0.500        0.14           1.80     0.078
## [1021,]          11.3            0.360        0.66           2.40     0.123
## [1022,]          11.3            0.360        0.66           2.40     0.123
## [1023,]           7.0            0.510        0.09           2.10     0.062
## [1024,]           8.2            0.320        0.42           2.30     0.098
## [1025,]           7.7            0.580        0.01           1.80     0.088
## [1026,]           8.6            0.830        0.00           2.80     0.095
## [1027,]           7.9            0.310        0.32           1.90     0.066
## [1028,]           6.4            0.795        0.00           2.20     0.065
## [1029,]           7.2            0.340        0.21           2.50     0.075
## [1030,]           7.7            0.580        0.01           1.80     0.088
## [1031,]           7.1            0.590        0.00           2.10     0.091
## [1032,]           7.3            0.550        0.01           1.80     0.093
## [1033,]           8.1            0.820        0.00           4.10     0.095
## [1034,]           7.5            0.570        0.08           2.60     0.089
## [1035,]           8.9            0.745        0.18           2.50     0.077
## [1036,]          10.1            0.370        0.34           2.40     0.085
## [1037,]           7.6            0.310        0.34           2.50     0.082
## [1038,]           7.3            0.910        0.10           1.80     0.074
## [1039,]           8.7            0.410        0.41           6.20     0.078
## [1040,]           8.9            0.500        0.21           2.20     0.088
## [1041,]           7.4            0.965        0.00           2.20     0.088
## [1042,]           6.9            0.490        0.19           1.70     0.079
## [1043,]           8.9            0.500        0.21           2.20     0.088
## [1044,]           9.5            0.390        0.41           8.90     0.069
## [1045,]           6.4            0.390        0.33           3.30     0.046
## [1046,]           6.9            0.440        0.00           1.40     0.070
## [1047,]           7.6            0.780        0.00           1.70     0.076
## [1048,]           7.1            0.430        0.17           1.80     0.082
## [1049,]           9.3            0.490        0.36           1.70     0.081
## [1050,]           9.3            0.500        0.36           1.80     0.084
## [1051,]           7.1            0.430        0.17           1.80     0.082
## [1052,]           8.5            0.460        0.59           1.40     0.414
## [1053,]           5.6            0.605        0.05           2.40     0.073
## [1054,]           8.3            0.330        0.42           2.30     0.070
## [1055,]           8.2            0.640        0.27           2.00     0.095
## [1056,]           8.2            0.640        0.27           2.00     0.095
## [1057,]           8.9            0.480        0.53           4.00     0.101
## [1058,]           7.6            0.420        0.25           3.90     0.104
## [1059,]           9.9            0.530        0.57           2.40     0.093
## [1060,]           8.9            0.480        0.53           4.00     0.101
## [1061,]          11.6            0.230        0.57           1.80     0.074
## [1062,]           9.1            0.400        0.50           1.80     0.071
## [1063,]           8.0            0.380        0.44           1.90     0.098
## [1064,]          10.2            0.290        0.65           2.40     0.075
## [1065,]           8.2            0.740        0.09           2.00     0.067
## [1066,]           7.7            0.610        0.18           2.40     0.083
## [1067,]           6.6            0.520        0.08           2.40     0.070
## [1068,]          11.1            0.310        0.53           2.20     0.060
## [1069,]          11.1            0.310        0.53           2.20     0.060
## [1070,]           8.0            0.620        0.35           2.80     0.086
## [1071,]           9.3            0.330        0.45           1.50     0.057
## [1072,]           7.5            0.770        0.20           8.10     0.098
## [1073,]           7.2            0.350        0.26           1.80     0.083
## [1074,]           8.0            0.620        0.33           2.70     0.088
## [1075,]           7.5            0.770        0.20           8.10     0.098
## [1076,]           9.1            0.250        0.34           2.00     0.071
## [1077,]           9.9            0.320        0.56           2.00     0.073
## [1078,]           8.6            0.370        0.65           6.40     0.080
## [1079,]           8.6            0.370        0.65           6.40     0.080
## [1080,]           7.9            0.300        0.68           8.30     0.050
## [1081,]          10.3            0.270        0.56           1.40     0.047
## [1082,]           7.9            0.300        0.68           8.30     0.050
## [1083,]           7.2            0.380        0.30           1.80     0.073
## [1084,]           8.7            0.420        0.45           2.40     0.072
## [1085,]           7.2            0.380        0.30           1.80     0.073
## [1086,]           6.8            0.480        0.08           1.80     0.074
## [1087,]           8.5            0.340        0.40           4.70     0.055
## [1088,]           7.9            0.190        0.42           1.60     0.057
## [1089,]          11.6            0.410        0.54           1.50     0.095
## [1090,]          11.6            0.410        0.54           1.50     0.095
## [1091,]          10.0            0.260        0.54           1.90     0.083
## [1092,]           7.9            0.340        0.42           2.00     0.086
## [1093,]           7.0            0.540        0.09           2.00     0.081
## [1094,]           9.2            0.310        0.36           2.20     0.079
## [1095,]           6.6            0.725        0.09           5.50     0.117
## [1096,]           9.4            0.400        0.47           2.50     0.087
## [1097,]           6.6            0.725        0.09           5.50     0.117
## [1098,]           8.6            0.520        0.38           1.50     0.096
## [1099,]           8.0            0.310        0.45           2.10     0.216
## [1100,]           8.6            0.520        0.38           1.50     0.096
## [1101,]           8.4            0.340        0.42           2.10     0.072
## [1102,]           7.4            0.490        0.27           2.10     0.071
## [1103,]           6.1            0.480        0.09           1.70     0.078
## [1104,]           7.4            0.490        0.27           2.10     0.071
## [1105,]           8.0            0.480        0.34           2.20     0.073
## [1106,]           6.3            0.570        0.28           2.10     0.048
## [1107,]           8.2            0.230        0.42           1.90     0.069
## [1108,]           9.1            0.300        0.41           2.00     0.068
## [1109,]           8.1            0.780        0.10           3.30     0.090
## [1110,]          10.8            0.470        0.43           2.10     0.171
## [1111,]           8.3            0.530        0.00           1.40     0.070
## [1112,]           5.4            0.420        0.27           2.00     0.092
## [1113,]           7.9            0.330        0.41           1.50     0.056
## [1114,]           8.9            0.240        0.39           1.60     0.074
## [1115,]           5.0            0.400        0.50           4.30     0.046
## [1116,]           7.0            0.690        0.07           2.50     0.091
## [1117,]           7.0            0.690        0.07           2.50     0.091
## [1118,]           7.0            0.690        0.07           2.50     0.091
## [1119,]           7.1            0.390        0.12           2.10     0.065
## [1120,]           5.6            0.660        0.00           2.50     0.066
## [1121,]           7.9            0.540        0.34           2.50     0.076
## [1122,]           6.6            0.500        0.00           1.80     0.062
## [1123,]           6.3            0.470        0.00           1.40     0.055
## [1124,]          10.7            0.400        0.37           1.90     0.081
## [1125,]           6.5            0.580        0.00           2.20     0.096
## [1126,]           8.8            0.240        0.35           1.70     0.055
## [1127,]           5.8            0.290        0.26           1.70     0.063
## [1128,]           6.3            0.760        0.00           2.90     0.072
## [1129,]          10.0            0.430        0.33           2.70     0.095
## [1130,]          10.5            0.430        0.35           3.30     0.092
## [1131,]           9.1            0.600        0.00           1.90     0.058
## [1132,]           5.9            0.190        0.21           1.70     0.045
## [1133,]           7.4            0.360        0.34           1.80     0.075
## [1134,]           7.2            0.480        0.07           5.50     0.089
## [1135,]           8.5            0.280        0.35           1.70     0.061
## [1136,]           8.0            0.250        0.43           1.70     0.067
## [1137,]          10.4            0.520        0.45           2.00     0.080
## [1138,]          10.4            0.520        0.45           2.00     0.080
## [1139,]           7.5            0.410        0.15           3.70     0.104
## [1140,]           8.2            0.510        0.24           2.00     0.079
## [1141,]           7.3            0.400        0.30           1.70     0.080
## [1142,]           8.2            0.380        0.32           2.50     0.080
## [1143,]           6.9            0.450        0.11           2.40     0.043
## [1144,]           7.0            0.220        0.30           1.80     0.065
## [1145,]           7.3            0.320        0.23           2.30     0.066
## [1146,]           8.2            0.200        0.43           2.50     0.076
## [1147,]           7.8            0.500        0.12           1.80     0.178
## [1148,]          10.0            0.410        0.45           6.20     0.071
## [1149,]           7.8            0.390        0.42           2.00     0.086
## [1150,]          10.0            0.350        0.47           2.00     0.061
## [1151,]           8.2            0.330        0.32           2.80     0.067
## [1152,]           6.1            0.580        0.23           2.50     0.044
## [1153,]           8.3            0.600        0.25           2.20     0.118
## [1154,]           9.6            0.420        0.35           2.10     0.083
## [1155,]           6.6            0.580        0.00           2.20     0.100
## [1156,]           8.3            0.600        0.25           2.20     0.118
## [1157,]           8.5            0.180        0.51           1.75     0.071
## [1158,]           5.1            0.510        0.18           2.10     0.042
## [1159,]           6.7            0.410        0.43           2.80     0.076
## [1160,]          10.2            0.410        0.43           2.20     0.110
## [1161,]          10.6            0.360        0.57           2.30     0.087
## [1162,]           8.8            0.450        0.43           1.40     0.076
## [1163,]           8.5            0.320        0.42           2.30     0.075
## [1164,]           9.0            0.785        0.24           1.70     0.078
## [1165,]           9.0            0.785        0.24           1.70     0.078
## [1166,]           8.5            0.440        0.50           1.90     0.369
## [1167,]           9.9            0.540        0.26           2.00     0.111
## [1168,]           8.2            0.330        0.39           2.50     0.074
## [1169,]           6.5            0.340        0.27           2.80     0.067
## [1170,]           7.6            0.500        0.29           2.30     0.086
## [1171,]           9.2            0.360        0.34           1.60     0.062
## [1172,]           7.1            0.590        0.00           2.20     0.078
## [1173,]           9.7            0.420        0.46           2.10     0.074
## [1174,]           7.6            0.360        0.31           1.70     0.079
## [1175,]           7.6            0.360        0.31           1.70     0.079
## [1176,]           6.5            0.610        0.00           2.20     0.095
## [1177,]           6.5            0.880        0.03           5.60     0.079
## [1178,]           7.1            0.660        0.00           2.40     0.052
## [1179,]           5.6            0.915        0.00           2.10     0.041
## [1180,]           8.2            0.350        0.33           2.40     0.076
## [1181,]           8.2            0.350        0.33           2.40     0.076
## [1182,]           9.8            0.390        0.43           1.65     0.068
## [1183,]          10.2            0.400        0.40           2.50     0.068
## [1184,]           6.8            0.660        0.07           1.60     0.070
## [1185,]           6.7            0.640        0.23           2.10     0.080
## [1186,]           7.0            0.430        0.30           2.00     0.085
## [1187,]           6.6            0.800        0.03           7.80     0.079
## [1188,]           7.0            0.430        0.30           2.00     0.085
## [1189,]           6.7            0.640        0.23           2.10     0.080
## [1190,]           8.8            0.955        0.05           1.80     0.075
## [1191,]           9.1            0.400        0.57           4.60     0.080
## [1192,]           6.5            0.885        0.00           2.30     0.166
## [1193,]           7.2            0.250        0.37           2.50     0.063
## [1194,]           6.4            0.885        0.00           2.30     0.166
## [1195,]           7.0            0.745        0.12           1.80     0.114
## [1196,]           6.2            0.430        0.22           1.80     0.078
## [1197,]           7.9            0.580        0.23           2.30     0.076
## [1198,]           7.7            0.570        0.21           1.50     0.069
## [1199,]           7.7            0.260        0.26           2.00     0.052
## [1200,]           7.9            0.580        0.23           2.30     0.076
## [1201,]           7.7            0.570        0.21           1.50     0.069
## [1202,]           7.9            0.340        0.36           1.90     0.065
## [1203,]           8.6            0.420        0.39           1.80     0.068
## [1204,]           9.9            0.740        0.19           5.80     0.111
## [1205,]           7.2            0.360        0.46           2.10     0.074
## [1206,]           7.2            0.360        0.46           2.10     0.074
## [1207,]           7.2            0.360        0.46           2.10     0.074
## [1208,]           9.9            0.720        0.55           1.70     0.136
## [1209,]           7.2            0.360        0.46           2.10     0.074
## [1210,]           6.2            0.390        0.43           2.00     0.071
## [1211,]           6.8            0.650        0.02           2.10     0.078
## [1212,]           6.6            0.440        0.15           2.10     0.076
## [1213,]           6.8            0.650        0.02           2.10     0.078
## [1214,]           9.6            0.380        0.42           1.90     0.071
## [1215,]          10.2            0.330        0.46           1.90     0.081
## [1216,]           8.8            0.270        0.46           2.10     0.095
## [1217,]           7.9            0.570        0.31           2.00     0.079
## [1218,]           8.2            0.340        0.37           1.90     0.057
## [1219,]           8.2            0.400        0.31           1.90     0.082
## [1220,]           9.0            0.390        0.40           1.30     0.044
## [1221,]          10.9            0.320        0.52           1.80     0.132
## [1222,]          10.9            0.320        0.52           1.80     0.132
## [1223,]           8.1            0.530        0.22           2.20     0.078
## [1224,]          10.5            0.360        0.47           2.20     0.074
## [1225,]          12.6            0.390        0.49           2.50     0.080
## [1226,]           9.2            0.460        0.23           2.60     0.091
## [1227,]           7.5            0.580        0.03           4.10     0.080
## [1228,]           9.0            0.580        0.25           2.00     0.104
## [1229,]           5.1            0.420        0.00           1.80     0.044
## [1230,]           7.6            0.430        0.29           2.10     0.075
## [1231,]           7.7            0.180        0.34           2.70     0.066
## [1232,]           7.8            0.815        0.01           2.60     0.074
## [1233,]           7.6            0.430        0.29           2.10     0.075
## [1234,]          10.2            0.230        0.37           2.20     0.057
## [1235,]           7.1            0.750        0.01           2.20     0.059
## [1236,]           6.0            0.330        0.32          12.90     0.054
## [1237,]           7.8            0.550        0.00           1.70     0.070
## [1238,]           7.1            0.750        0.01           2.20     0.059
## [1239,]           8.1            0.730        0.00           2.50     0.081
## [1240,]           6.5            0.670        0.00           4.30     0.057
## [1241,]           7.5            0.610        0.20           1.70     0.076
## [1242,]           9.8            0.370        0.39           2.50     0.079
## [1243,]           9.0            0.400        0.41           2.00     0.058
## [1244,]           8.3            0.560        0.22           2.40     0.082
## [1245,]           5.9            0.290        0.25          13.40     0.067
## [1246,]           7.4            0.550        0.19           1.80     0.082
## [1247,]           7.4            0.740        0.07           1.70     0.086
## [1248,]           7.4            0.550        0.19           1.80     0.082
## [1249,]           6.9            0.410        0.33           2.20     0.081
## [1250,]           7.1            0.600        0.01           2.30     0.079
## [1251,]           7.1            0.600        0.01           2.30     0.079
## [1252,]           7.5            0.580        0.14           2.20     0.077
## [1253,]           7.1            0.720        0.00           1.80     0.123
## [1254,]           7.9            0.660        0.00           1.40     0.096
## [1255,]           7.8            0.700        0.06           1.90     0.079
## [1256,]           6.1            0.640        0.02           2.40     0.069
## [1257,]           7.5            0.590        0.22           1.80     0.082
## [1258,]           7.0            0.580        0.28           4.80     0.085
## [1259,]           6.8            0.640        0.00           2.70     0.123
## [1260,]           6.8            0.640        0.00           2.70     0.123
## [1261,]           8.6            0.635        0.68           1.80     0.403
## [1262,]           6.3            1.020        0.00           2.00     0.083
## [1263,]           9.8            0.450        0.38           2.50     0.081
## [1264,]           8.2            0.780        0.00           2.20     0.089
## [1265,]           8.5            0.370        0.32           1.80     0.066
## [1266,]           7.2            0.570        0.05           2.30     0.081
## [1267,]           7.2            0.570        0.05           2.30     0.081
## [1268,]          10.4            0.430        0.50           2.30     0.068
## [1269,]           6.9            0.410        0.31           2.00     0.079
## [1270,]           5.5            0.490        0.03           1.80     0.044
## [1271,]           5.0            0.380        0.01           1.60     0.048
## [1272,]           7.3            0.440        0.20           1.60     0.049
## [1273,]           5.9            0.460        0.00           1.90     0.077
## [1274,]           7.5            0.580        0.20           2.00     0.073
## [1275,]           7.8            0.580        0.13           2.10     0.102
## [1276,]           8.0            0.715        0.22           2.30     0.075
## [1277,]           8.5            0.400        0.40           6.30     0.050
## [1278,]           7.0            0.690        0.00           1.90     0.114
## [1279,]           8.0            0.715        0.22           2.30     0.075
## [1280,]           9.8            0.300        0.39           1.70     0.062
## [1281,]           7.1            0.460        0.20           1.90     0.077
## [1282,]           7.1            0.460        0.20           1.90     0.077
## [1283,]           7.9            0.765        0.00           2.00     0.084
## [1284,]           8.7            0.630        0.28           2.70     0.096
## [1285,]           7.0            0.420        0.19           2.30     0.071
## [1286,]          11.3            0.370        0.50           1.80     0.090
## [1287,]           7.1            0.160        0.44           2.50     0.068
## [1288,]           8.0            0.600        0.08           2.60     0.056
## [1289,]           7.0            0.600        0.30           4.50     0.068
## [1290,]           7.0            0.600        0.30           4.50     0.068
## [1291,]           7.6            0.740        0.00           1.90     0.100
## [1292,]           8.2            0.635        0.10           2.10     0.073
## [1293,]           5.9            0.395        0.13           2.40     0.056
## [1294,]           7.5            0.755        0.00           1.90     0.084
## [1295,]           8.2            0.635        0.10           2.10     0.073
## [1296,]           6.6            0.630        0.00           4.30     0.093
## [1297,]           6.6            0.630        0.00           4.30     0.093
## [1298,]           7.2            0.530        0.14           2.10     0.064
## [1299,]           5.7            0.600        0.00           1.40     0.063
## [1300,]           7.6            1.580        0.00           2.10     0.137
## [1301,]           5.2            0.645        0.00           2.15     0.080
## [1302,]           6.7            0.860        0.07           2.00     0.100
## [1303,]           9.1            0.370        0.32           2.10     0.064
## [1304,]           8.0            0.280        0.44           1.80     0.081
## [1305,]           7.6            0.790        0.21           2.30     0.087
## [1306,]           7.5            0.610        0.26           1.90     0.073
## [1307,]           9.7            0.690        0.32           2.50     0.088
## [1308,]           6.8            0.680        0.09           3.90     0.068
## [1309,]           9.7            0.690        0.32           2.50     0.088
## [1310,]           7.0            0.620        0.10           1.40     0.071
## [1311,]           7.5            0.610        0.26           1.90     0.073
## [1312,]           6.5            0.510        0.15           3.00     0.064
## [1313,]           8.0            1.180        0.21           1.90     0.083
## [1314,]           7.0            0.360        0.21           2.30     0.086
## [1315,]           7.0            0.360        0.21           2.40     0.086
## [1316,]           7.5            0.630        0.27           2.00     0.083
## [1317,]           5.4            0.740        0.00           1.20     0.041
## [1318,]           9.9            0.440        0.46           2.20     0.091
## [1319,]           7.5            0.630        0.27           2.00     0.083
## [1320,]           9.1            0.760        0.68           1.70     0.414
## [1321,]           9.7            0.660        0.34           2.60     0.094
## [1322,]           5.0            0.740        0.00           1.20     0.041
## [1323,]           9.1            0.340        0.42           1.80     0.058
## [1324,]           9.1            0.360        0.39           1.80     0.060
## [1325,]           6.7            0.460        0.24           1.70     0.077
## [1326,]           6.7            0.460        0.24           1.70     0.077
## [1327,]           6.7            0.460        0.24           1.70     0.077
## [1328,]           6.7            0.460        0.24           1.70     0.077
## [1329,]           6.5            0.520        0.11           1.80     0.073
## [1330,]           7.4            0.600        0.26           2.10     0.083
## [1331,]           7.4            0.600        0.26           2.10     0.083
## [1332,]           7.8            0.870        0.26           3.80     0.107
## [1333,]           8.4            0.390        0.10           1.70     0.075
## [1334,]           9.1            0.775        0.22           2.20     0.079
## [1335,]           7.2            0.835        0.00           2.00     0.166
## [1336,]           6.6            0.580        0.02           2.40     0.069
## [1337,]           6.0            0.500        0.00           1.40     0.057
## [1338,]           6.0            0.500        0.00           1.40     0.057
## [1339,]           6.0            0.500        0.00           1.40     0.057
## [1340,]           7.5            0.510        0.02           1.70     0.084
## [1341,]           7.5            0.510        0.02           1.70     0.084
## [1342,]           7.5            0.510        0.02           1.70     0.084
## [1343,]           7.6            0.540        0.02           1.70     0.085
## [1344,]           7.5            0.510        0.02           1.70     0.084
## [1345,]          11.5            0.420        0.48           2.60     0.077
## [1346,]           8.2            0.440        0.24           2.30     0.063
## [1347,]           6.1            0.590        0.01           2.10     0.056
## [1348,]           7.2            0.655        0.03           1.80     0.078
## [1349,]           7.2            0.655        0.03           1.80     0.078
## [1350,]           6.9            0.570        0.00           2.80     0.081
## [1351,]           9.0            0.600        0.29           2.00     0.069
## [1352,]           7.2            0.620        0.01           2.30     0.065
## [1353,]           7.6            0.645        0.03           1.90     0.086
## [1354,]           7.6            0.645        0.03           1.90     0.086
## [1355,]           7.2            0.580        0.03           2.30     0.077
## [1356,]           6.1            0.320        0.25           1.80     0.086
## [1357,]           6.1            0.340        0.25           1.80     0.084
## [1358,]           7.3            0.430        0.24           2.50     0.078
## [1359,]           7.4            0.640        0.17           5.40     0.168
## [1360,]          11.6            0.475        0.40           1.40     0.091
## [1361,]           9.2            0.540        0.31           2.30     0.112
## [1362,]           8.3            0.850        0.14           2.50     0.093
## [1363,]          11.6            0.475        0.40           1.40     0.091
## [1364,]           8.0            0.830        0.27           2.00     0.080
## [1365,]           7.2            0.605        0.02           1.90     0.096
## [1366,]           7.8            0.500        0.09           2.20     0.115
## [1367,]           7.3            0.740        0.08           1.70     0.094
## [1368,]           6.9            0.540        0.30           2.20     0.088
## [1369,]           8.0            0.770        0.32           2.10     0.079
## [1370,]           6.6            0.610        0.00           1.60     0.069
## [1371,]           8.7            0.780        0.51           1.70     0.415
## [1372,]           7.5            0.580        0.56           3.10     0.153
## [1373,]           8.7            0.780        0.51           1.70     0.415
## [1374,]           7.7            0.750        0.27           3.80     0.110
## [1375,]           6.8            0.815        0.00           1.20     0.267
## [1376,]           7.2            0.560        0.26           2.00     0.083
## [1377,]           8.2            0.885        0.20           1.40     0.086
## [1378,]           5.2            0.490        0.26           2.30     0.090
## [1379,]           7.2            0.450        0.15           2.00     0.078
## [1380,]           7.5            0.570        0.02           2.60     0.077
## [1381,]           7.5            0.570        0.02           2.60     0.077
## [1382,]           6.8            0.830        0.09           1.80     0.074
## [1383,]           8.0            0.600        0.22           2.10     0.080
## [1384,]           8.0            0.600        0.22           2.10     0.080
## [1385,]           7.1            0.755        0.15           1.80     0.107
## [1386,]           8.0            0.810        0.25           3.40     0.076
## [1387,]           7.4            0.640        0.07           1.80     0.100
## [1388,]           7.4            0.640        0.07           1.80     0.100
## [1389,]           6.6            0.640        0.31           6.10     0.083
## [1390,]           6.7            0.480        0.02           2.20     0.080
## [1391,]           6.0            0.490        0.00           2.30     0.068
## [1392,]           8.0            0.640        0.22           2.40     0.094
## [1393,]           7.1            0.620        0.06           1.30     0.070
## [1394,]           8.0            0.520        0.25           2.00     0.078
## [1395,]           6.4            0.570        0.14           3.90     0.070
## [1396,]           8.6            0.685        0.10           1.60     0.092
## [1397,]           8.7            0.675        0.10           1.60     0.090
## [1398,]           7.3            0.590        0.26           2.00     0.080
## [1399,]           7.0            0.600        0.12           2.20     0.083
## [1400,]           7.2            0.670        0.00           2.20     0.068
## [1401,]           7.9            0.690        0.21           2.10     0.080
## [1402,]           7.9            0.690        0.21           2.10     0.080
## [1403,]           7.6            0.300        0.42           2.00     0.052
## [1404,]           7.2            0.330        0.33           1.70     0.061
## [1405,]           8.0            0.500        0.39           2.60     0.082
## [1406,]           7.7            0.280        0.30           2.00     0.062
## [1407,]           8.2            0.240        0.34           5.10     0.062
## [1408,]           6.0            0.510        0.00           2.10     0.064
## [1409,]           8.1            0.290        0.36           2.20     0.048
## [1410,]           6.0            0.510        0.00           2.10     0.064
## [1411,]           6.6            0.960        0.00           1.80     0.082
## [1412,]           6.4            0.470        0.40           2.40     0.071
## [1413,]           8.2            0.240        0.34           5.10     0.062
## [1414,]           9.9            0.570        0.25           2.00     0.104
## [1415,]          10.0            0.320        0.59           2.20     0.077
## [1416,]           6.2            0.580        0.00           1.60     0.065
## [1417,]          10.0            0.320        0.59           2.20     0.077
## [1418,]           7.3            0.340        0.33           2.50     0.064
## [1419,]           7.8            0.530        0.01           1.60     0.077
## [1420,]           7.7            0.640        0.21           2.20     0.077
## [1421,]           7.8            0.530        0.01           1.60     0.077
## [1422,]           7.5            0.400        0.18           1.60     0.079
## [1423,]           7.0            0.540        0.00           2.10     0.079
## [1424,]           6.4            0.530        0.09           3.90     0.123
## [1425,]           8.3            0.260        0.37           1.40     0.076
## [1426,]           8.3            0.260        0.37           1.40     0.076
## [1427,]           7.7            0.230        0.37           1.80     0.046
## [1428,]           7.6            0.410        0.33           2.50     0.078
## [1429,]           7.8            0.640        0.00           1.90     0.072
## [1430,]           7.9            0.180        0.40           2.20     0.049
## [1431,]           7.4            0.410        0.24           1.80     0.066
## [1432,]           7.6            0.430        0.31           2.10     0.069
## [1433,]           5.9            0.440        0.00           1.60     0.042
## [1434,]           6.1            0.400        0.16           1.80     0.069
## [1435,]          10.2            0.540        0.37          15.40     0.214
## [1436,]          10.2            0.540        0.37          15.40     0.214
## [1437,]          10.0            0.380        0.38           1.60     0.169
## [1438,]           6.8            0.915        0.29           4.80     0.070
## [1439,]           7.0            0.590        0.00           1.70     0.052
## [1440,]           7.3            0.670        0.02           2.20     0.072
## [1441,]           7.2            0.370        0.32           2.00     0.062
## [1442,]           7.4            0.785        0.19           5.20     0.094
## [1443,]           6.9            0.630        0.02           1.90     0.078
## [1444,]           6.9            0.580        0.20           1.75     0.058
## [1445,]           7.3            0.670        0.02           2.20     0.072
## [1446,]           7.4            0.785        0.19           5.20     0.094
## [1447,]           6.9            0.630        0.02           1.90     0.078
## [1448,]           6.8            0.670        0.00           1.90     0.080
## [1449,]           6.9            0.580        0.01           1.90     0.080
## [1450,]           7.2            0.380        0.31           2.00     0.056
## [1451,]           7.2            0.370        0.32           2.00     0.062
## [1452,]           7.8            0.320        0.44           2.70     0.104
## [1453,]           6.6            0.580        0.02           2.00     0.062
## [1454,]           7.6            0.490        0.33           1.90     0.074
## [1455,]          11.7            0.450        0.63           2.20     0.073
## [1456,]           6.5            0.900        0.00           1.60     0.052
## [1457,]           6.0            0.540        0.06           1.80     0.050
## [1458,]           7.6            0.490        0.33           1.90     0.074
## [1459,]           8.4            0.290        0.40           1.70     0.067
## [1460,]           7.9            0.200        0.35           1.70     0.054
## [1461,]           6.4            0.420        0.09           2.30     0.054
## [1462,]           6.2            0.785        0.00           2.10     0.060
## [1463,]           6.8            0.640        0.03           2.30     0.075
## [1464,]           6.9            0.630        0.01           2.40     0.076
## [1465,]           6.8            0.590        0.10           1.70     0.063
## [1466,]           6.8            0.590        0.10           1.70     0.063
## [1467,]           7.3            0.480        0.32           2.10     0.062
## [1468,]           6.7            1.040        0.08           2.30     0.067
## [1469,]           7.3            0.480        0.32           2.10     0.062
## [1470,]           7.3            0.980        0.05           2.10     0.061
## [1471,]          10.0            0.690        0.11           1.40     0.084
## [1472,]           6.7            0.700        0.08           3.75     0.067
## [1473,]           7.6            0.350        0.60           2.60     0.073
## [1474,]           6.1            0.600        0.08           1.80     0.071
## [1475,]           9.9            0.500        0.50          13.80     0.205
## [1476,]           5.3            0.470        0.11           2.20     0.048
## [1477,]           9.9            0.500        0.50          13.80     0.205
## [1478,]           5.3            0.470        0.11           2.20     0.048
## [1479,]           7.1            0.875        0.05           5.70     0.082
## [1480,]           8.2            0.280        0.60           3.00     0.104
## [1481,]           5.6            0.620        0.03           1.50     0.080
## [1482,]           8.2            0.280        0.60           3.00     0.104
## [1483,]           7.2            0.580        0.54           2.10     0.114
## [1484,]           8.1            0.330        0.44           1.50     0.042
## [1485,]           6.8            0.910        0.06           2.00     0.060
## [1486,]           7.0            0.655        0.16           2.10     0.074
## [1487,]           6.8            0.680        0.21           2.10     0.070
## [1488,]           6.0            0.640        0.05           1.90     0.066
## [1489,]           5.6            0.540        0.04           1.70     0.049
## [1490,]           6.2            0.570        0.10           2.10     0.048
## [1491,]           7.1            0.220        0.49           1.80     0.039
## [1492,]           5.6            0.540        0.04           1.70     0.049
## [1493,]           6.2            0.650        0.06           1.60     0.050
## [1494,]           7.7            0.540        0.26           1.90     0.089
## [1495,]           6.4            0.310        0.09           1.40     0.066
## [1496,]           7.0            0.430        0.02           1.90     0.080
## [1497,]           7.7            0.540        0.26           1.90     0.089
## [1498,]           6.9            0.740        0.03           2.30     0.054
## [1499,]           6.6            0.895        0.04           2.30     0.068
## [1500,]           6.9            0.740        0.03           2.30     0.054
## [1501,]           7.5            0.725        0.04           1.50     0.076
## [1502,]           7.8            0.820        0.29           4.30     0.083
## [1503,]           7.3            0.585        0.18           2.40     0.078
## [1504,]           6.2            0.440        0.39           2.50     0.077
## [1505,]           7.5            0.380        0.57           2.30     0.106
## [1506,]           6.7            0.760        0.02           1.80     0.078
## [1507,]           6.8            0.810        0.05           2.00     0.070
## [1508,]           7.5            0.380        0.57           2.30     0.106
## [1509,]           7.1            0.270        0.60           2.10     0.074
## [1510,]           7.9            0.180        0.40           1.80     0.062
## [1511,]           6.4            0.360        0.21           2.20     0.047
## [1512,]           7.1            0.690        0.04           2.10     0.068
## [1513,]           6.4            0.790        0.04           2.20     0.061
## [1514,]           6.4            0.560        0.15           1.80     0.078
## [1515,]           6.9            0.840        0.21           4.10     0.074
## [1516,]           6.9            0.840        0.21           4.10     0.074
## [1517,]           6.1            0.320        0.25           2.30     0.071
## [1518,]           6.5            0.530        0.06           2.00     0.063
## [1519,]           7.4            0.470        0.46           2.20     0.114
## [1520,]           6.6            0.700        0.08           2.60     0.106
## [1521,]           6.5            0.530        0.06           2.00     0.063
## [1522,]           6.9            0.480        0.20           1.90     0.082
## [1523,]           6.1            0.320        0.25           2.30     0.071
## [1524,]           6.8            0.480        0.25           2.00     0.076
## [1525,]           6.0            0.420        0.19           2.00     0.075
## [1526,]           6.7            0.480        0.08           2.10     0.064
## [1527,]           6.8            0.470        0.08           2.20     0.064
## [1528,]           7.1            0.530        0.07           1.70     0.071
## [1529,]           7.9            0.290        0.49           2.20     0.096
## [1530,]           7.1            0.690        0.08           2.10     0.063
## [1531,]           6.6            0.440        0.09           2.20     0.063
## [1532,]           6.1            0.705        0.10           2.80     0.081
## [1533,]           7.2            0.530        0.13           2.00     0.058
## [1534,]           8.0            0.390        0.30           1.90     0.074
## [1535,]           6.6            0.560        0.14           2.40     0.064
## [1536,]           7.0            0.550        0.13           2.20     0.075
## [1537,]           6.1            0.530        0.08           1.90     0.077
## [1538,]           5.4            0.580        0.08           1.90     0.059
## [1539,]           6.2            0.640        0.09           2.50     0.081
## [1540,]           7.2            0.390        0.32           1.80     0.065
## [1541,]           6.2            0.520        0.08           4.40     0.071
## [1542,]           7.4            0.250        0.29           2.20     0.054
## [1543,]           6.7            0.855        0.02           1.90     0.064
## [1544,]          11.1            0.440        0.42           2.20     0.064
## [1545,]           8.4            0.370        0.43           2.30     0.063
## [1546,]           6.5            0.630        0.33           1.80     0.059
## [1547,]           7.0            0.570        0.02           2.00     0.072
## [1548,]           6.3            0.600        0.10           1.60     0.048
## [1549,]          11.2            0.400        0.50           2.00     0.099
## [1550,]           7.4            0.360        0.30           1.80     0.074
## [1551,]           7.1            0.680        0.00           2.30     0.087
## [1552,]           7.1            0.670        0.00           2.30     0.083
## [1553,]           6.3            0.680        0.01           3.70     0.103
## [1554,]           7.3            0.735        0.00           2.20     0.080
## [1555,]           6.6            0.855        0.02           2.40     0.062
## [1556,]           7.0            0.560        0.17           1.70     0.065
## [1557,]           6.6            0.880        0.04           2.20     0.066
## [1558,]           6.6            0.855        0.02           2.40     0.062
## [1559,]           6.9            0.630        0.33           6.70     0.235
## [1560,]           7.8            0.600        0.26           2.00     0.080
## [1561,]           7.8            0.600        0.26           2.00     0.080
## [1562,]           7.8            0.600        0.26           2.00     0.080
## [1563,]           7.2            0.695        0.13           2.00     0.076
## [1564,]           7.2            0.695        0.13           2.00     0.076
## [1565,]           7.2            0.695        0.13           2.00     0.076
## [1566,]           6.7            0.670        0.02           1.90     0.061
## [1567,]           6.7            0.160        0.64           2.10     0.059
## [1568,]           7.2            0.695        0.13           2.00     0.076
## [1569,]           7.0            0.560        0.13           1.60     0.077
## [1570,]           6.2            0.510        0.14           1.90     0.056
## [1571,]           6.4            0.360        0.53           2.20     0.230
## [1572,]           6.4            0.380        0.14           2.20     0.038
## [1573,]           7.3            0.690        0.32           2.20     0.069
## [1574,]           6.0            0.580        0.20           2.40     0.075
## [1575,]           5.6            0.310        0.78          13.90     0.074
## [1576,]           7.5            0.520        0.40           2.20     0.060
## [1577,]           8.0            0.300        0.63           1.60     0.081
## [1578,]           6.2            0.700        0.15           5.10     0.076
## [1579,]           6.8            0.670        0.15           1.80     0.118
## [1580,]           6.2            0.560        0.09           1.70     0.053
## [1581,]           7.4            0.350        0.33           2.40     0.068
## [1582,]           6.2            0.560        0.09           1.70     0.053
## [1583,]           6.1            0.715        0.10           2.60     0.053
## [1584,]           6.2            0.460        0.29           2.10     0.074
## [1585,]           6.7            0.320        0.44           2.40     0.061
## [1586,]           7.2            0.390        0.44           2.60     0.066
## [1587,]           7.5            0.310        0.41           2.40     0.065
## [1588,]           5.8            0.610        0.11           1.80     0.066
## [1589,]           7.2            0.660        0.33           2.50     0.068
## [1590,]           6.6            0.725        0.20           7.80     0.073
## [1591,]           6.3            0.550        0.15           1.80     0.077
## [1592,]           5.4            0.740        0.09           1.70     0.089
## [1593,]           6.3            0.510        0.13           2.30     0.076
## [1594,]           6.8            0.620        0.08           1.90     0.068
## [1595,]           6.2            0.600        0.08           2.00     0.090
## [1596,]           5.9            0.550        0.10           2.20     0.062
## [1597,]           6.3            0.510        0.13           2.30     0.076
## [1598,]           5.9            0.645        0.12           2.00     0.075
## [1599,]           6.0            0.310        0.47           3.60     0.067
##         free sulfur dioxide total sulfur dioxide density   pH sulphates
##    [1,]                11.0                 34.0 0.99780 3.51      0.56
##    [2,]                25.0                 67.0 0.99680 3.20      0.68
##    [3,]                15.0                 54.0 0.99700 3.26      0.65
##    [4,]                17.0                 60.0 0.99800 3.16      0.58
##    [5,]                11.0                 34.0 0.99780 3.51      0.56
##    [6,]                13.0                 40.0 0.99780 3.51      0.56
##    [7,]                15.0                 59.0 0.99640 3.30      0.46
##    [8,]                15.0                 21.0 0.99460 3.39      0.47
##    [9,]                 9.0                 18.0 0.99680 3.36      0.57
##   [10,]                17.0                102.0 0.99780 3.35      0.80
##   [11,]                15.0                 65.0 0.99590 3.28      0.54
##   [12,]                17.0                102.0 0.99780 3.35      0.80
##   [13,]                16.0                 59.0 0.99430 3.58      0.52
##   [14,]                 9.0                 29.0 0.99740 3.26      1.56
##   [15,]                52.0                145.0 0.99860 3.16      0.88
##   [16,]                51.0                148.0 0.99860 3.17      0.93
##   [17,]                35.0                103.0 0.99690 3.30      0.75
##   [18,]                16.0                 56.0 0.99680 3.11      1.28
##   [19,]                 6.0                 29.0 0.99740 3.38      0.50
##   [20,]                17.0                 56.0 0.99690 3.04      1.08
##   [21,]                29.0                 60.0 0.99680 3.39      0.53
##   [22,]                23.0                 71.0 0.99820 3.52      0.65
##   [23,]                10.0                 37.0 0.99660 3.17      0.91
##   [24,]                 9.0                 67.0 0.99680 3.17      0.53
##   [25,]                21.0                 40.0 0.99680 3.43      0.63
##   [26,]                11.0                 23.0 0.99550 3.34      0.56
##   [27,]                 4.0                 11.0 0.99620 3.28      0.59
##   [28,]                10.0                 37.0 0.99660 3.17      0.91
##   [29,]                14.0                 35.0 0.99720 3.47      0.55
##   [30,]                 8.0                 16.0 0.99640 3.38      0.59
##   [31,]                17.0                 82.0 0.99580 3.35      0.54
##   [32,]                22.0                 37.0 0.99660 3.46      0.57
##   [33,]                15.0                113.0 0.99660 3.17      0.66
##   [34,]                40.0                 83.0 0.99930 3.45      0.52
##   [35,]                13.0                 50.0 0.99570 3.38      0.55
##   [36,]                 5.0                 18.0 0.99860 3.40      0.55
##   [37,]                 3.0                 15.0 0.99750 3.42      0.60
##   [38,]                13.0                 30.0 0.99680 3.23      0.73
##   [39,]                 7.0                 19.0 0.99400 3.50      0.48
##   [40,]                12.0                 87.0 0.99780 3.33      0.83
##   [41,]                12.0                 87.0 0.99780 3.33      0.83
##   [42,]                17.0                 46.0 0.99760 3.26      0.51
##   [43,]                 8.0                 14.0 0.99680 3.21      0.90
##   [44,]                 9.0                 23.0 0.99680 3.30      1.20
##   [45,]                 5.0                 11.0 0.99620 3.48      0.52
##   [46,]                 8.0                 65.0 0.99340 3.90      0.56
##   [47,]                22.0                114.0 0.99700 3.25      0.73
##   [48,]                12.0                 37.0 0.99690 3.25      0.58
##   [49,]                 5.0                 12.0 0.99580 3.34      0.56
##   [50,]                12.0                 96.0 0.99540 3.32      0.58
##   [51,]                 4.0                 23.0 0.99710 3.15      0.74
##   [52,]                 8.0                 15.0 0.99560 3.40      0.63
##   [53,]                 6.0                 14.0 0.99550 3.39      0.64
##   [54,]                30.0                119.0 0.99700 3.20      0.56
##   [55,]                33.0                 73.0 0.99550 3.17      0.63
##   [56,]                25.0                 45.0 0.99780 3.34      0.53
##   [57,]                 4.0                 10.0 0.99710 3.04      0.63
##   [58,]                50.0                110.0 0.99830 3.26      0.77
##   [59,]                17.0                 54.0 0.99750 3.43      0.59
##   [60,]                 9.0                 46.0 0.99620 3.41      0.54
##   [61,]                19.0                 52.0 0.99800 3.44      0.64
##   [62,]                20.0                112.0 0.99680 3.21      0.71
##   [63,]                12.0                 35.0 0.99680 3.38      0.62
##   [64,]                13.0                 54.0 0.99660 3.39      0.57
##   [65,]                 4.0                 11.0 0.99620 3.41      0.39
##   [66,]                 4.0                 11.0 0.99620 3.41      0.39
##   [67,]                11.0                 39.0 0.99680 3.42      0.58
##   [68,]                 6.0                 15.0 0.99620 3.44      0.58
##   [69,]                27.0                 65.0 0.99690 3.28      0.79
##   [70,]                 8.0                 19.0 0.99620 3.34      0.95
##   [71,]                15.0                 27.0 0.99670 3.32      0.54
##   [72,]                17.0                 96.0 0.99620 3.32      0.48
##   [73,]                18.0                 94.0 0.99610 3.31      0.48
##   [74,]                11.0                 43.0 0.99760 3.31      0.53
##   [75,]                28.0                 83.0 0.99840 3.28      0.82
##   [76,]                 9.0                 42.0 0.99860 3.54      0.66
##   [77,]                 9.0                 42.0 0.99860 3.54      0.66
##   [78,]                14.0                 30.0 0.99660 3.52      0.55
##   [79,]                12.0                 80.0 0.99580 3.38      0.52
##   [80,]                27.0                119.0 0.99720 3.16      1.12
##   [81,]                 3.0                 15.0 0.99580 3.41      0.56
##   [82,]                22.0                 67.0 0.99740 3.13      1.28
##   [83,]                21.0                 73.0 0.99700 3.36      0.57
##   [84,]                16.0                 51.0 0.99690 3.16      1.14
##   [85,]                18.0                 61.0 0.99590 3.44      0.78
##   [86,]                19.0                 40.0 0.99610 3.41      0.59
##   [87,]                20.0                136.0 0.99720 2.93      1.95
##   [88,]                 9.0                 31.0 0.99660 3.39      0.64
##   [89,]                34.0                125.0 0.99780 3.14      1.22
##   [90,]                 8.0                 24.0 0.99780 3.48      0.53
##   [91,]                42.0                140.0 0.99640 3.23      0.54
##   [92,]                20.0                136.0 0.99720 2.93      1.95
##   [93,]                19.0                133.0 0.99720 2.93      1.98
##   [94,]                 9.0                 31.0 0.99660 3.39      0.64
##   [95,]                41.0                 85.0 0.99380 3.75      0.48
##   [96,]                17.0                106.0 0.99320 3.85      0.60
##   [97,]                 8.0                 23.0 0.99650 3.45      0.56
##   [98,]                 3.0                 22.0 0.99630 3.25      0.63
##   [99,]                 5.0                 10.0 0.99670 3.39      0.56
##  [100,]                13.0                 35.0 0.99720 3.30      0.59
##  [101,]                11.0                 50.0 0.99720 3.40      0.61
##  [102,]                 8.0                 22.0 0.99590 3.31      0.56
##  [103,]                13.0                 35.0 0.99720 3.30      0.59
##  [104,]                12.0                 65.0 0.99670 3.29      0.51
##  [105,]                 5.0                 36.0 0.99600 3.33      0.48
##  [106,]                12.0                 65.0 0.99670 3.29      0.51
##  [107,]                18.0                 69.0 0.99730 3.08      1.31
##  [108,]                15.0                 64.0 0.99690 3.46      0.79
##  [109,]                18.0                 80.0 0.99760 3.37      0.80
##  [110,]                37.0                153.0 0.99690 3.21      0.69
##  [111,]                12.0                 47.0 0.99640 3.19      0.93
##  [112,]                11.0                108.0 0.99640 3.15      0.66
##  [113,]                14.0                111.0 0.99640 3.15      0.66
##  [114,]                22.0                 46.0 0.99880 3.32      0.67
##  [115,]                12.0                 47.0 0.99640 3.19      0.93
##  [116,]                13.0                 62.0 0.99660 3.07      0.63
##  [117,]                11.0                 40.0 0.99780 3.39      0.61
##  [118,]                 7.0                 28.0 0.99700 3.37      0.50
##  [119,]                14.0                 56.0 0.99620 3.21      0.60
##  [120,]                22.0                 89.0 0.99590 3.34      0.54
##  [121,]                10.0                 89.0 0.99620 3.30      0.57
##  [122,]                14.0                 56.0 0.99620 3.21      0.60
##  [123,]                 3.0                 13.0 0.99800 3.49      0.52
##  [124,]                11.0                 34.0 0.99760 3.44      0.53
##  [125,]                21.0                102.0 0.99600 3.39      0.48
##  [126,]                27.0                 90.0 0.99840 3.16      0.70
##  [127,]                 3.0                 12.0 0.99640 3.53      0.49
##  [128,]                 3.0                 12.0 0.99640 3.54      0.48
##  [129,]                 3.0                 16.0 0.99620 3.42      0.92
##  [130,]                 6.0                 19.0 0.99550 3.42      0.57
##  [131,]                30.0                134.0 0.99680 3.24      0.66
##  [132,]                17.0                 99.0 0.99370 3.63      0.63
##  [133,]                17.0                 99.0 0.99370 3.63      0.63
##  [134,]                17.0                 26.0 0.99520 3.40      0.58
##  [135,]                13.0                 29.0 0.99590 3.22      0.55
##  [136,]                16.0                 63.0 0.99650 3.19      0.82
##  [137,]                10.0                 52.0 0.99680 3.23      0.77
##  [138,]                13.0                 45.0 0.99720 3.48      0.64
##  [139,]                15.0                105.0 0.99620 3.33      0.54
##  [140,]                17.0                108.0 0.99620 3.32      0.54
##  [141,]                16.0                 63.0 0.99650 3.19      0.82
##  [142,]                10.0                 52.0 0.99680 3.23      0.77
##  [143,]                27.0                 63.0 0.99160 3.68      0.79
##  [144,]                 3.0                 20.0 0.99540 3.34      0.58
##  [145,]                27.0                 63.0 0.99160 3.68      0.79
##  [146,]                32.0                141.0 0.99680 3.17      0.62
##  [147,]                21.0                 94.0 0.99440 3.54      0.52
##  [148,]                10.0                 88.0 0.99680 3.11      0.80
##  [149,]                12.0                 30.0 0.99590 3.42      0.58
##  [150,]                11.0                 43.0 0.99750 3.53      0.61
##  [151,]                 5.0                 11.0 0.99580 3.33      0.53
##  [152,]                32.0                 69.0 0.99960 2.74      2.00
##  [153,]                25.0                 99.0 0.99500 3.35      0.54
##  [154,]                25.0                 99.0 0.99500 3.35      0.54
##  [155,]                29.0                129.0 0.99730 3.42      0.72
##  [156,]                28.0                128.0 0.99730 3.42      0.71
##  [157,]                29.0                129.0 0.99730 3.42      0.72
##  [158,]                28.0                128.0 0.99730 3.42      0.71
##  [159,]                12.0                 22.0 0.99690 3.48      0.50
##  [160,]                18.0                 86.0 0.99680 3.59      0.57
##  [161,]                 7.0                 20.0 0.99590 3.20      0.56
##  [162,]                 9.0                 20.0 0.99650 3.17      1.08
##  [163,]                17.0                 31.0 0.99640 3.33      0.56
##  [164,]                36.0                121.0 0.99820 3.37      0.49
##  [165,]                35.0                121.0 0.99810 3.37      0.49
##  [166,]                14.0                 96.0 0.99610 3.19      0.62
##  [167,]                18.0                101.0 0.99560 3.34      0.52
##  [168,]                17.0                 42.0 0.99560 3.37      0.48
##  [169,]                11.0                 44.0 0.99530 3.47      0.55
##  [170,]                15.0                 63.0 0.99640 3.00      1.59
##  [171,]                 4.0                  8.0 0.99720 3.36      0.33
##  [172,]                 6.0                 18.0 0.99720 3.29      0.61
##  [173,]                 6.0                 18.0 0.99720 3.29      0.61
##  [174,]                24.0                 42.0 0.99610 3.42      0.57
##  [175,]                 7.0                 35.0 0.99610 3.33      0.47
##  [176,]                19.0                 49.0 0.99580 3.35      0.78
##  [177,]                 7.0                 35.0 0.99610 3.33      0.47
##  [178,]                 8.0                 38.0 0.99720 3.58      0.61
##  [179,]                 7.0                 20.0 0.99690 3.48      0.56
##  [180,]                10.0                 42.0 0.99690 3.19      0.59
##  [181,]                10.0                 42.0 0.99690 3.19      0.59
##  [182,]                23.0                110.0 0.99720 3.12      1.02
##  [183,]                16.0                 42.0 0.99720 3.44      0.52
##  [184,]                11.0                 65.0 0.99710 3.54      0.58
##  [185,]                 8.0                 62.0 0.99700 3.52      0.58
##  [186,]                26.0                 85.0 0.99710 3.26      0.53
##  [187,]                14.0                 67.0 0.99720 3.34      0.55
##  [188,]                 9.0                 26.0 0.99760 3.39      0.49
##  [189,]                15.0                143.0 0.99680 3.20      0.55
##  [190,]                17.0                144.0 0.99680 3.20      0.55
##  [191,]                21.0                127.0 0.99760 3.23      0.62
##  [192,]                21.0                 49.0 0.99740 3.57      0.62
##  [193,]                16.0                126.0 0.99690 3.28      0.61
##  [194,]                 7.0                 28.0 0.99640 3.28      0.55
##  [195,]                 7.0                 28.0 0.99640 3.28      0.55
##  [196,]                24.0                120.0 0.99680 3.25      0.54
##  [197,]                15.0                 55.0 0.99680 3.46      0.59
##  [198,]                12.0                 27.0 0.99810 3.11      0.97
##  [199,]                13.0                 93.0 0.99240 3.57      0.85
##  [200,]                12.0                 31.0 0.99480 3.51      0.43
##  [201,]                 9.0                 24.0 0.99695 3.22      0.82
##  [202,]                39.0                145.0 0.99750 3.04      1.03
##  [203,]                16.0                 49.0 0.99545 3.36      0.79
##  [204,]                16.0                 39.0 0.99610 3.34      0.55
##  [205,]                14.0                 37.0 0.99615 3.34      0.56
##  [206,]                 9.0                 28.0 0.99940 3.20      0.77
##  [207,]                 9.0                 28.0 0.99940 3.20      0.77
##  [208,]                26.0                120.0 0.99625 3.29      0.53
##  [209,]                18.0                 95.0 0.99660 3.22      0.67
##  [210,]                 7.0                 19.0 0.99800 3.31      0.88
##  [211,]                 5.0                 19.0 0.99585 3.30      0.86
##  [212,]                10.0                 62.0 0.99685 3.35      0.56
##  [213,]                 5.0                 15.0 0.99800 3.21      0.67
##  [214,]                28.0                 65.0 0.99590 3.30      0.43
##  [215,]                10.0                 41.0 0.99740 3.24      0.71
##  [216,]                26.0                121.0 0.99740 3.34      0.76
##  [217,]                13.0                 49.0 0.99620 3.14      0.57
##  [218,]                11.0                 41.0 0.99670 3.36      0.55
##  [219,]                10.0                 44.0 0.99570 3.39      0.54
##  [220,]                24.0                144.0 0.99655 3.30      0.60
##  [221,]                24.0                 58.0 0.99640 3.34      0.59
##  [222,]                16.0                 72.0 0.99570 3.15      0.57
##  [223,]                 5.0                 10.0 0.99525 3.42      0.60
##  [224,]                 8.0                 28.0 0.99815 3.28      0.60
##  [225,]                15.0                 55.0 0.99745 3.31      0.57
##  [226,]                29.0                 63.0 0.99615 3.37      0.58
##  [227,]                27.0                 81.0 0.99640 3.04      1.61
##  [228,]                 9.0                 23.0 0.99840 3.39      0.63
##  [229,]                29.0                 63.0 0.99615 3.37      0.58
##  [230,]                10.0                 37.0 0.99685 3.46      0.50
##  [231,]                19.0                106.0 0.99270 3.54      0.62
##  [232,]                12.0                 49.0 0.99625 3.37      0.52
##  [233,]                18.0                 58.0 0.99800 3.34      0.70
##  [234,]                10.0                 37.0 0.99685 3.46      0.50
##  [235,]                 7.0                 37.0 0.99685 3.32      0.55
##  [236,]                14.0                 38.0 0.99675 3.37      0.58
##  [237,]                14.0                 38.0 0.99675 3.37      0.58
##  [238,]                15.0                 39.0 0.99675 3.37      0.58
##  [239,]                14.0                 38.0 0.99675 3.37      0.58
##  [240,]                 7.0                 37.0 0.99685 3.32      0.55
##  [241,]                 5.0                 62.0 0.99710 3.00      1.09
##  [242,]                 6.0                 24.0 0.99925 3.14      0.71
##  [243,]                28.0                109.0 0.99565 3.08      0.49
##  [244,]                10.0                 24.0 1.00005 3.07      0.84
##  [245,]                10.0                 24.0 1.00005 3.07      0.84
##  [246,]                 6.0                 23.0 0.99830 3.61      0.96
##  [247,]                16.0                 51.0 0.99685 3.38      0.52
##  [248,]                11.0                 73.0 0.99630 3.20      0.45
##  [249,]                 9.0                 39.0 0.99615 3.35      0.48
##  [250,]                 6.0                 23.0 0.99830 3.61      0.96
##  [251,]                16.0                 37.0 0.99850 3.22      0.78
##  [252,]                16.0                 34.0 0.99720 3.47      0.70
##  [253,]                 5.0                 21.0 0.99860 3.17      0.53
##  [254,]                 8.0                 86.0 0.99590 3.23      0.59
##  [255,]                16.0                 34.0 0.99720 3.47      0.70
##  [256,]                17.0                119.0 0.99675 3.26      0.57
##  [257,]                 5.0                 13.0 0.99800 3.22      0.62
##  [258,]                12.0                 56.0 0.99680 3.49      0.67
##  [259,]                 8.0                 45.0 0.99680 3.06      1.26
##  [260,]                14.0                 33.0 0.99965 3.36      0.80
##  [261,]                18.0                 45.0 0.99625 3.29      0.65
##  [262,]                12.0                 67.0 0.99565 3.35      0.60
##  [263,]                10.0                 35.0 0.99575 3.34      0.57
##  [264,]                23.0                 49.0 0.99630 3.28      0.67
##  [265,]                 5.0                 27.0 0.99990 3.08      0.87
##  [266,]                 6.0                 10.0 0.99680 3.20      0.72
##  [267,]                26.0                 61.0 1.00025 3.60      0.72
##  [268,]                15.0                 37.0 0.99730 3.35      0.86
##  [269,]                 7.0                 27.0 0.99870 3.69      0.91
##  [270,]                 4.0                 23.0 0.99960 3.28      0.97
##  [271,]                27.0                 61.0 0.99650 3.36      0.67
##  [272,]                 4.0                 23.0 0.99960 3.28      0.97
##  [273,]                17.0                 65.0 0.99935 3.22      0.78
##  [274,]                10.0                 38.0 0.99735 3.31      0.64
##  [275,]                27.0                 94.0 0.99915 3.38      0.77
##  [276,]                27.0                 61.0 0.99650 3.36      0.67
##  [277,]                 7.0                 27.0 0.99870 3.69      0.91
##  [278,]                 4.0                 23.0 0.99960 3.28      0.97
##  [279,]                 5.0                 13.0 0.99760 3.23      0.82
##  [280,]                10.0                 47.0 0.99910 3.38      0.77
##  [281,]                 6.0                 19.0 0.99860 3.12      0.82
##  [282,]                 5.0                 10.0 0.99720 3.25      1.08
##  [283,]                12.0                 53.0 0.99710 3.36      0.57
##  [284,]                10.0                 47.0 0.99910 3.38      0.77
##  [285,]                32.0                 71.0 1.00015 3.31      0.71
##  [286,]                32.0                 71.0 1.00015 3.31      0.71
##  [287,]                25.0                 49.0 0.99970 3.10      0.76
##  [288,]                29.0                 53.0 0.99670 3.37      0.70
##  [289,]                20.0                 49.0 0.99760 3.34      0.86
##  [290,]                33.0                 98.0 1.00100 3.20      0.95
##  [291,]                20.0                 49.0 0.99760 3.34      0.86
##  [292,]                 6.0                 18.0 0.99790 3.30      0.71
##  [293,]                18.0                 48.0 0.99940 3.22      0.64
##  [294,]                 5.0                 16.0 0.99640 3.41      0.60
##  [295,]                17.0                 53.0 1.00140 3.05      0.81
##  [296,]                 5.0                 27.0 1.00010 3.05      0.64
##  [297,]                26.0                 70.0 0.99810 3.16      0.52
##  [298,]                 8.0                 29.0 0.99855 3.67      0.73
##  [299,]                 5.0                 31.0 0.99930 3.67      0.80
##  [300,]                 8.0                 33.0 0.99845 3.68      0.71
##  [301,]                20.0                 44.0 0.99650 3.38      0.59
##  [302,]                 7.0                 15.0 0.99730 3.22      0.64
##  [303,]                12.0                 28.0 0.99940 3.51      0.72
##  [304,]                 5.0                 21.0 0.99600 3.39      0.54
##  [305,]                12.0                 90.0 0.99730 3.20      0.52
##  [306,]                 6.0                 25.0 0.99980 3.12      0.59
##  [307,]                 7.0                 54.0 0.99660 3.36      0.52
##  [308,]                 6.0                 14.0 0.99940 3.19      0.62
##  [309,]                 5.0                 12.0 0.99940 3.19      0.63
##  [310,]                 9.0                 30.0 0.99680 3.41      0.53
##  [311,]                 6.0                 25.0 0.99980 3.12      0.59
##  [312,]                15.0                105.0 0.99600 3.27      0.54
##  [313,]                19.0                 98.0 0.99815 3.32      0.63
##  [314,]                30.0                135.0 0.99760 3.30      0.53
##  [315,]                26.0                 72.0 0.99645 3.39      0.68
##  [316,]                20.0                 53.0 0.99620 3.42      0.65
##  [317,]                37.0                 92.0 0.99960 3.30      0.65
##  [318,]                30.0                 74.0 0.99865 3.30      0.64
##  [319,]                21.0                 59.0 0.99890 3.37      0.71
##  [320,]                30.0                 74.0 0.99865 3.30      0.64
##  [321,]                21.0                 59.0 0.99890 3.37      0.71
##  [322,]                25.0                 87.0 0.99975 3.24      0.62
##  [323,]                 6.0                 18.0 0.99735 3.29      0.63
##  [324,]                35.0                 73.0 0.99900 3.28      0.70
##  [325,]                13.0                 50.0 1.00150 3.16      0.69
##  [326,]                13.0                 50.0 1.00150 3.16      0.69
##  [327,]                 6.0                 14.0 0.99780 3.05      0.74
##  [328,]                 5.0                 13.0 0.99800 3.28      0.83
##  [329,]                 6.0                 21.0 1.00020 3.16      0.67
##  [330,]                 7.0                 15.0 0.99810 3.18      0.62
##  [331,]                10.0                 41.0 0.99800 3.23      0.66
##  [332,]                10.0                 41.0 0.99800 3.23      0.66
##  [333,]                21.0                114.0 0.99730 3.22      0.54
##  [334,]                16.0                 44.0 0.99580 3.13      0.52
##  [335,]                17.0                 38.0 0.99630 3.34      0.74
##  [336,]                 7.0                 21.0 0.99920 3.17      0.84
##  [337,]                 6.0                 16.0 0.99480 3.35      0.70
##  [338,]                29.0                 58.0 0.99740 3.31      0.64
##  [339,]                28.0                 99.0 1.00080 3.16      1.00
##  [340,]                12.0                 29.0 0.99970 3.11      1.36
##  [341,]                10.0                 21.0 1.00000 3.12      1.18
##  [342,]                 5.0                 18.0 0.99720 3.21      0.87
##  [343,]                 6.0                 14.0 0.99820 3.30      0.75
##  [344,]                 6.0                 14.0 0.99820 3.30      0.75
##  [345,]                 6.0                 32.0 1.00060 3.12      0.78
##  [346,]                40.0                 63.0 0.99790 3.60      0.81
##  [347,]                17.0                 34.0 0.99550 3.58      0.89
##  [348,]                 6.0                 15.0 0.99860 3.02      0.93
##  [349,]                15.0                 46.0 0.99790 3.11      0.92
##  [350,]                11.0                 28.0 0.99940 3.36      0.86
##  [351,]                17.0                 34.0 1.00040 3.28      0.98
##  [352,]                11.0                 26.0 0.99940 3.35      0.83
##  [353,]                 8.0                 19.0 0.99740 3.27      0.73
##  [354,]                23.0                 77.0 1.00180 3.18      0.77
##  [355,]                40.5                165.0 0.99120 3.25      0.59
##  [356,]                17.0                 32.0 0.99550 3.55      0.61
##  [357,]                29.0                 55.0 1.00010 3.26      0.88
##  [358,]                12.0                 29.0 0.99700 3.24      0.75
##  [359,]                10.0                 23.0 1.00000 3.15      0.85
##  [360,]                10.0                 41.0 1.00100 3.17      0.68
##  [361,]                14.0                 81.0 0.99730 3.19      0.70
##  [362,]                21.0                 50.0 0.99820 3.37      0.91
##  [363,]                 6.0                 37.0 0.99920 3.05      0.56
##  [364,]                 6.0                 15.0 0.99880 2.99      0.87
##  [365,]                 7.0                 42.0 1.00220 3.07      0.73
##  [366,]                 7.0                 21.0 0.99790 3.26      0.93
##  [367,]                 7.0                 42.0 1.00220 3.07      0.73
##  [368,]                11.0                 24.0 1.00000 3.16      0.69
##  [369,]                15.0                 75.0 0.99980 3.18      0.64
##  [370,]                 6.0                 18.0 0.99620 3.20      1.13
##  [371,]                35.0                 63.0 0.99750 3.57      0.78
##  [372,]                11.0                 25.0 0.99670 3.32      0.87
##  [373,]                26.0                 46.0 0.99670 3.32      1.04
##  [374,]                12.0                 72.0 0.99590 3.05      0.63
##  [375,]                 6.0                 47.0 1.00140 3.01      0.81
##  [376,]                 6.0                 15.0 0.99840 3.01      0.83
##  [377,]                19.0                 47.0 1.00030 3.26      1.11
##  [378,]                 6.0                 18.0 0.99620 3.20      1.13
##  [379,]                 6.0                 24.0 0.99880 3.11      0.99
##  [380,]                24.0                 60.0 0.99790 3.31      0.70
##  [381,]                11.0                 27.0 0.99740 3.21      0.80
##  [382,]                17.0                 43.0 1.00140 3.06      0.80
##  [383,]                11.0                 27.0 0.99740 3.21      0.80
##  [384,]                11.0                 27.0 0.99740 3.21      0.80
##  [385,]                23.0                 54.0 0.99800 3.42      0.74
##  [386,]                11.0                 37.0 0.99790 3.43      0.76
##  [387,]                23.0                 48.0 0.99810 3.41      0.74
##  [388,]                17.0                 42.0 0.99720 3.31      0.54
##  [389,]                23.0                 53.0 0.99810 3.43      0.74
##  [390,]                16.0                 49.0 0.99820 3.19      0.70
##  [391,]                12.0                 88.0 0.99240 3.56      0.82
##  [392,]                17.0                 43.0 1.00140 3.06      0.80
##  [393,]                 6.0                 26.0 0.99800 3.18      0.51
##  [394,]                13.0                 95.0 0.99700 3.16      0.54
##  [395,]                 6.0                 25.0 0.99970 3.03      0.57
##  [396,]                 7.0                 38.0 1.00040 3.22      0.60
##  [397,]                68.0                124.0 0.99940 3.47      0.53
##  [398,]                13.0                 49.0 0.99880 3.18      0.65
##  [399,]                13.0                 49.0 0.99880 3.18      0.65
##  [400,]                 9.0                 42.0 0.99630 3.10      0.55
##  [401,]                68.0                124.0 0.99940 3.47      0.53
##  [402,]                20.0                 38.0 0.99490 3.29      0.47
##  [403,]                19.0                 64.0 1.00000 3.10      0.61
##  [404,]                10.0                 41.0 0.99940 3.15      0.63
##  [405,]                15.0                 27.0 0.99740 3.26      0.61
##  [406,]                11.0                 25.0 0.99660 3.36      0.76
##  [407,]                 9.0                 28.0 0.99810 3.24      0.65
##  [408,]                12.0                 30.0 0.99960 3.18      0.63
##  [409,]                 6.0                 16.0 0.99700 3.19      0.70
##  [410,]                26.0                 49.0 0.99810 3.05      0.57
##  [411,]                26.0                 86.0 0.99870 3.38      0.62
##  [412,]                23.0                 78.0 0.99870 3.38      0.62
##  [413,]                15.0                 77.0 0.99660 3.27      0.64
##  [414,]                 6.0                 19.0 0.99860 3.27      0.82
##  [415,]                24.0                122.0 0.99820 3.26      0.61
##  [416,]                31.0                134.0 1.00140 3.32      1.07
##  [417,]                 6.0                 20.0 0.99700 3.26      0.66
##  [418,]                34.0                124.0 0.99560 3.44      0.48
##  [419,]                 7.0                 20.0 0.99960 3.24      0.76
##  [420,]                34.0                 52.0 0.99760 3.62      0.68
##  [421,]                35.0                 67.0 0.99720 3.28      0.73
##  [422,]                32.0                 48.0 0.99520 3.52      0.56
##  [423,]                15.0                 60.0 0.99550 3.36      0.44
##  [424,]                 6.0                 24.0 0.99780 3.15      0.90
##  [425,]                15.0                 60.0 0.99550 3.36      0.44
##  [426,]                32.0                 48.0 0.99520 3.52      0.56
##  [427,]                19.0                 48.0 0.99490 3.49      0.49
##  [428,]                 6.0                 32.0 0.99880 3.26      0.56
##  [429,]                 9.0                 30.0 0.99780 3.24      0.60
##  [430,]                13.0                 35.0 0.99970 3.10      0.60
##  [431,]                 6.0                 24.0 0.99780 3.15      0.90
##  [432,]                21.0                 66.0 0.99740 3.25      0.56
##  [433,]                12.0                 24.0 0.99580 3.00      0.65
##  [434,]                 6.0                 18.0 1.00040 3.16      0.49
##  [435,]                22.0                 54.0 0.99960 3.15      0.89
##  [436,]                 6.0                 18.0 1.00040 3.16      0.49
##  [437,]                38.0                 62.0 0.99580 3.26      0.56
##  [438,]                 6.0                 22.0 0.99860 3.17      0.66
##  [439,]                22.0                 54.0 0.99960 3.15      0.89
##  [440,]                 7.0                 50.0 0.99510 3.08      0.60
##  [441,]                 6.0                 29.0 0.99870 2.88      0.82
##  [442,]                 7.0                 27.0 0.99880 3.06      0.68
##  [443,]                 6.0                 43.0 1.00320 2.95      0.68
##  [444,]                11.0                 19.0 0.99630 3.23      0.63
##  [445,]                 5.0                 27.0 0.99340 3.57      0.84
##  [446,]                 6.0                 31.0 0.99860 3.23      0.56
##  [447,]                31.0                 72.0 0.99960 3.10      0.73
##  [448,]                 6.0                 16.0 0.99680 3.22      0.72
##  [449,]                 7.0                 27.0 0.99670 3.20      0.56
##  [450,]                17.0                 35.0 0.99940 3.10      0.61
##  [451,]                17.0                 35.0 0.99940 3.10      0.61
##  [452,]                 9.0                 26.0 0.99790 3.06      1.06
##  [453,]                18.0                 35.0 0.99680 3.44      0.63
##  [454,]                 5.0                 22.0 0.99980 3.26      0.74
##  [455,]                21.0                 67.0 0.99520 3.50      0.63
##  [456,]                 6.0                 19.0 0.99880 3.22      0.69
##  [457,]                 5.0                 22.0 0.99860 3.37      0.58
##  [458,]                29.0                 65.0 0.99880 3.28      0.58
##  [459,]                 5.0                 22.0 0.99980 3.26      0.74
##  [460,]                10.0                 47.0 1.00080 3.25      0.57
##  [461,]                14.0                 23.0 0.99760 3.35      0.61
##  [462,]                 6.0                 19.0 0.99820 3.26      0.61
##  [463,]                10.0                 25.0 0.99700 3.18      0.61
##  [464,]                25.0                129.0 0.99720 3.08      0.53
##  [465,]                 5.0                 15.0 0.99870 2.98      0.70
##  [466,]                10.0                 26.0 1.00060 3.48      0.91
##  [467,]                21.0                 51.0 0.99820 3.16      0.72
##  [468,]                 7.0                 18.0 0.99470 3.32      0.79
##  [469,]                 6.0                 21.0 1.00000 3.17      0.62
##  [470,]                36.0                 48.0 0.99520 3.20      0.58
##  [471,]                15.0                 47.0 0.99960 3.05      0.61
##  [472,]                25.0                 52.0 0.99700 3.20      0.71
##  [473,]                25.0                 68.0 0.99950 3.15      0.82
##  [474,]                 5.0                 14.0 0.99710 3.26      0.79
##  [475,]                10.0                 24.0 0.99820 3.20      0.89
##  [476,]                 5.0                 28.0 0.99880 3.14      0.60
##  [477,]                 6.0                 16.0 0.99800 3.28      0.70
##  [478,]                 6.0                 20.0 0.99770 3.18      1.06
##  [479,]                 5.0                 28.0 0.99880 3.14      0.60
##  [480,]                 6.0                 31.0 0.99840 3.19      0.70
##  [481,]                 6.0                 23.0 1.00260 3.12      0.66
##  [482,]                 6.0                 17.0 0.99640 3.15      0.92
##  [483,]                 6.0                 18.0 0.99860 3.04      1.05
##  [484,]                 7.0                 18.0 0.99860 3.04      1.06
##  [485,]                 6.0                 24.0 0.99700 3.06      0.66
##  [486,]                 6.0                 17.0 0.99760 3.17      0.47
##  [487,]                 6.0                 17.0 0.99760 3.17      0.47
##  [488,]                 5.0                 14.0 0.99820 3.17      0.42
##  [489,]                35.0                 67.0 1.00020 3.32      0.92
##  [490,]                10.0                 26.0 0.99840 3.34      0.75
##  [491,]                24.0                 56.0 0.99840 3.31      0.67
##  [492,]                12.0                 25.0 0.99520 3.34      0.79
##  [493,]                13.0                 27.0 0.99500 3.32      0.90
##  [494,]                23.0                 81.0 1.00020 3.48      0.74
##  [495,]                28.0                 91.0 0.99520 3.44      0.55
##  [496,]                 5.0                 16.0 0.99720 3.15      0.65
##  [497,]                14.0                 38.0 0.99840 3.43      0.65
##  [498,]                43.0                113.0 0.99660 3.32      0.79
##  [499,]                 5.0                 16.0 0.99720 3.15      0.65
##  [500,]                23.0                 81.0 1.00020 3.48      0.74
##  [501,]                14.0                 38.0 0.99840 3.43      0.65
##  [502,]                38.0                 76.0 0.99900 3.17      0.85
##  [503,]                38.0                 76.0 0.99900 3.17      0.85
##  [504,]                 6.0                 24.0 0.99760 3.18      1.04
##  [505,]                 6.0                 22.0 0.99760 3.21      1.05
##  [506,]                10.0                 26.0 0.99680 3.16      0.78
##  [507,]                 6.0                 21.0 0.99760 3.25      1.02
##  [508,]                 6.0                 13.0 1.00000 3.17      0.71
##  [509,]                26.0                 62.0 0.99940 3.18      0.63
##  [510,]                23.0                 43.0 0.99860 3.04      0.68
##  [511,]                19.0                 43.0 0.99780 3.02      0.61
##  [512,]                26.0                 62.0 0.99940 3.18      0.63
##  [513,]                15.0                 49.0 0.99800 3.03      0.81
##  [514,]                 6.0                 15.0 0.99730 3.09      0.66
##  [515,]                 6.0                 15.0 0.99730 3.09      0.66
##  [516,]                34.0                151.0 1.00100 3.31      1.14
##  [517,]                 5.0                 14.0 1.00100 3.25      0.74
##  [518,]                 5.0                 16.0 0.99940 3.16      0.63
##  [519,]                11.0                 32.0 0.99720 3.22      0.68
##  [520,]                39.0                106.0 0.99660 3.36      0.78
##  [521,]                15.0                 33.0 0.99820 3.42      0.90
##  [522,]                16.0                 43.0 0.99800 3.48      0.64
##  [523,]                47.0                133.0 0.99790 3.38      0.99
##  [524,]                38.0                142.0 0.99780 3.22      0.55
##  [525,]                23.0                116.0 0.99760 3.23      0.64
##  [526,]                29.0                 53.0 0.99980 3.24      0.67
##  [527,]                39.0                106.0 0.99660 3.36      0.78
##  [528,]                33.0                 85.0 0.99620 3.39      0.77
##  [529,]                32.0                 55.0 0.99880 3.34      0.75
##  [530,]                 6.0                 33.0 0.99740 3.09      0.57
##  [531,]                 1.0                 28.0 0.99900 3.41      0.87
##  [532,]                12.0                 42.0 1.00040 3.16      0.61
##  [533,]                12.0                 42.0 1.00040 3.16      0.61
##  [534,]                15.0                 33.0 0.99560 3.22      0.66
##  [535,]                13.0                 32.0 1.00000 3.28      0.56
##  [536,]                 1.0                 28.0 0.99900 3.41      0.87
##  [537,]                 6.0                 33.0 0.99740 3.09      0.57
##  [538,]                 5.0                 13.0 0.99720 3.37      0.77
##  [539,]                 5.0                 35.0 1.00140 3.20      0.66
##  [540,]                 5.0                 17.0 0.99960 3.22      0.62
##  [541,]                20.0                 47.0 0.99880 3.26      0.67
##  [542,]                 5.0                 17.0 0.99880 3.21      0.73
##  [543,]                 5.0                 20.0 0.99660 3.12      0.59
##  [544,]                16.0                 53.0 0.99930 3.06      0.72
##  [545,]                 6.0                 15.0 1.00080 2.86      0.79
##  [546,]                38.0                106.0 0.99820 3.08      0.59
##  [547,]                10.0                 28.0 0.99830 3.45      0.78
##  [548,]                 6.0                 21.0 0.99870 3.26      0.86
##  [549,]                27.0                 69.0 0.99940 3.12      0.75
##  [550,]                 6.0                 25.0 0.99750 3.27      0.61
##  [551,]                 9.0                 25.0 0.99580 3.33      0.56
##  [552,]                14.0                 45.0 0.99800 3.19      0.73
##  [553,]                14.0                 44.0 0.99800 3.12      0.74
##  [554,]                32.0                 96.0 0.99340 3.74      0.62
##  [555,]                10.0                 23.0 1.00315 2.92      0.74
##  [556,]                10.0                 23.0 1.00315 2.92      0.74
##  [557,]                10.0                 17.0 1.00020 3.07      0.56
##  [558,]                10.0                 23.0 1.00315 2.92      0.74
##  [559,]                10.0                 17.0 1.00020 3.07      0.56
##  [560,]                 6.0                 47.0 1.00210 3.30      0.68
##  [561,]                 5.0                 19.0 0.99940 3.14      0.57
##  [562,]                26.0                121.0 0.99780 3.23      0.58
##  [563,]                41.0                110.0 0.99820 3.08      0.61
##  [564,]                25.0                 60.0 0.99710 3.31      0.61
##  [565,]                 6.0                 47.0 1.00210 3.30      0.68
##  [566,]                 5.0                 19.0 0.99940 3.14      0.57
##  [567,]                 5.0                 15.0 0.99910 3.32      0.60
##  [568,]                 5.0                 15.0 0.99910 3.32      0.60
##  [569,]                 5.0                 20.0 0.99900 3.31      0.79
##  [570,]                19.0                 42.0 0.99460 3.57      0.57
##  [571,]                10.0                 37.0 1.00030 3.32      0.91
##  [572,]                19.0                 42.0 0.99460 3.57      0.57
##  [573,]                10.0                 28.0 0.99780 3.14      0.61
##  [574,]                14.0                 47.0 0.99910 3.30      0.56
##  [575,]                20.0                 78.0 0.99920 3.19      0.70
##  [576,]                28.0                 46.0 0.99930 3.20      0.80
##  [577,]                 6.0                 14.0 0.99780 3.34      0.52
##  [578,]                18.0                111.0 0.99820 3.30      0.60
##  [579,]                17.0                110.0 0.99820 3.29      0.60
##  [580,]                18.0                 40.0 0.99760 3.14      0.51
##  [581,]                 5.0                 14.0 1.00020 3.19      0.44
##  [582,]                 5.0                 14.0 1.00020 3.19      0.44
##  [583,]                 5.0                 15.0 1.00000 3.19      0.43
##  [584,]                10.0                 21.0 0.99760 2.98      0.66
##  [585,]                54.0                 80.0 1.00020 3.30      0.76
##  [586,]                 8.0                 38.0 0.99800 3.47      0.66
##  [587,]                16.0                 47.0 0.99860 3.12      1.02
##  [588,]                18.0                102.0 0.99670 3.26      0.59
##  [589,]                19.0                 50.0 0.99170 3.72      0.74
##  [590,]                 5.0                 13.0 0.99760 3.05      0.74
##  [591,]                21.0                 75.0 0.99870 3.35      0.57
##  [592,]                23.0                149.0 0.99220 3.12      0.50
##  [593,]                21.0                 75.0 0.99870 3.35      0.57
##  [594,]                 9.0                 43.0 1.00040 3.29      0.58
##  [595,]                20.0                 38.0 0.99780 3.40      0.53
##  [596,]                30.0                109.0 0.99980 3.27      0.57
##  [597,]                 6.0                 24.0 0.99940 3.04      0.60
##  [598,]                 5.0                 18.0 0.99800 3.09      0.63
##  [599,]                 5.0                 30.0 0.99670 3.20      0.48
##  [600,]                11.0                 22.0 1.00000 3.00      0.70
##  [601,]                 7.0                 23.0 0.99620 3.26      0.47
##  [602,]                12.0                 35.0 1.00060 3.10      0.56
##  [603,]                 6.0                 14.0 0.99750 3.30      0.52
##  [604,]                12.0                 35.0 1.00060 3.10      0.56
##  [605,]                14.0                 63.0 0.99840 3.17      0.62
##  [606,]                 6.0                 24.0 0.99840 3.31      0.59
##  [607,]                10.0                 20.0 0.99730 3.34      0.79
##  [608,]                26.0                 52.0 0.99820 3.31      0.53
##  [609,]                11.0                 65.0 1.00260 3.32      0.64
##  [610,]                15.0                 39.0 0.99560 3.56      0.52
##  [611,]                25.0                 57.0 0.99830 3.39      0.54
##  [612,]                 5.0                 16.0 1.00060 2.98      0.54
##  [613,]                18.0                 29.0 0.99650 3.32      0.60
##  [614,]                10.0                 29.0 0.99620 3.26      0.74
##  [615,]                10.0                103.0 0.99690 2.87      1.36
##  [616,]                28.0                 71.0 0.99970 3.50      0.57
##  [617,]                28.0                 71.0 0.99970 3.50      0.57
##  [618,]                14.0                 28.0 0.99820 3.03      0.93
##  [619,]                 4.0                 17.0 1.00060 3.13      0.70
##  [620,]                 6.0                 16.0 0.99880 3.09      0.80
##  [621,]                16.0                112.0 0.99760 3.27      0.61
##  [622,]                14.0                104.0 0.99760 3.28      0.62
##  [623,]                 9.0                 32.0 0.99740 3.13      0.55
##  [624,]                21.0                 45.0 0.99740 3.49      0.96
##  [625,]                21.0                 58.0 0.99970 3.46      0.72
##  [626,]                21.0                 58.0 0.99970 3.46      0.72
##  [627,]                 5.0                 15.0 0.99880 3.36      0.49
##  [628,]                 5.0                 15.0 0.99880 3.36      0.49
##  [629,]                 7.0                 31.0 0.99760 3.27      0.60
##  [630,]                20.0                 84.0 0.99640 3.21      0.61
##  [631,]                 7.0                 31.0 0.99760 3.27      0.60
##  [632,]                 5.0                 19.0 0.99880 3.25      0.63
##  [633,]                21.0                 43.0 0.99640 3.32      0.57
##  [634,]                11.0                 86.0 1.00100 3.43      0.64
##  [635,]                46.0                102.0 0.99640 3.27      0.58
##  [636,]                24.0                 33.0 0.99540 3.27      0.55
##  [637,]                30.0                147.0 0.99790 3.24      0.53
##  [638,]                31.0                145.0 0.99780 3.24      0.53
##  [639,]                 7.0                 23.0 0.99640 3.35      0.65
##  [640,]                25.0                 57.0 0.99700 3.18      1.36
##  [641,]                16.0                 40.0 0.99910 3.39      0.62
##  [642,]                21.0                 68.0 0.99920 3.46      0.63
##  [643,]                16.0                 40.0 0.99910 3.39      0.62
##  [644,]                21.0                 68.0 0.99920 3.46      0.63
##  [645,]                16.0                 40.0 0.99910 3.39      0.62
##  [646,]                 5.0                 11.0 0.99840 3.37      0.69
##  [647,]                 6.0                 20.0 0.99720 3.40      0.63
##  [648,]                 5.0                 14.0 0.99670 3.32      0.58
##  [649,]                10.0                 28.0 0.99640 3.33      0.67
##  [650,]                24.0                148.0 0.99480 3.16      0.57
##  [651,]                 8.0                 32.0 0.99860 2.89      0.50
##  [652,]                35.0                155.0 1.00100 3.41      0.67
##  [653,]                22.0                 71.0 0.99760 2.98      0.84
##  [654,]                 9.0                 30.0 0.99760 3.12      0.54
##  [655,]                 7.0                 29.0 0.99790 3.08      0.46
##  [656,]                20.0                 53.0 1.00040 3.14      0.61
##  [657,]                 8.0                 32.0 0.99860 2.89      0.50
##  [658,]                23.0                 42.0 0.99800 2.92      0.68
##  [659,]                 5.0                 20.0 0.99730 3.32      0.81
##  [660,]                 5.0                 13.0 0.99700 3.41      0.57
##  [661,]                 5.0                 20.0 0.99730 3.32      0.81
##  [662,]                15.0                 42.0 0.99780 3.31      0.64
##  [663,]                 9.0                 27.0 0.99720 3.36      0.70
##  [664,]                 5.0                 13.0 0.99740 3.04      0.79
##  [665,]                15.0                 54.0 1.00000 3.03      0.66
##  [666,]                25.0                 48.0 0.99810 3.14      0.56
##  [667,]                 6.0                 16.0 0.99800 3.18      0.60
##  [668,]                 6.0                 15.0 0.99880 2.94      0.66
##  [669,]                15.0                 31.0 0.99660 3.15      0.57
##  [670,]                 6.0                 15.0 0.99880 2.94      0.66
##  [671,]                30.0                 45.0 0.99590 3.26      0.58
##  [672,]                 5.0                 13.0 0.99680 3.20      0.52
##  [673,]                32.0                151.0 0.99800 3.15      0.53
##  [674,]                 5.0                 13.0 0.99680 3.20      0.52
##  [675,]                 7.0                 17.0 0.99840 3.08      0.67
##  [676,]                12.0                 31.0 0.99840 3.26      0.65
##  [677,]                 7.0                 17.0 0.99840 3.08      0.67
##  [678,]                12.0                 31.0 0.99790 3.40      0.48
##  [679,]                45.0                 87.0 0.99830 3.48      0.53
##  [680,]                20.0                 49.0 0.99720 3.13      0.54
##  [681,]                15.0                 40.0 1.00040 3.06      0.49
##  [682,]                16.0                 29.0 0.99620 3.21      0.49
##  [683,]                32.0                 58.0 0.99800 3.33      0.54
##  [684,]                 5.0                 15.0 0.99700 3.37      0.56
##  [685,]                35.0                152.0 0.99800 3.25      0.48
##  [686,]                 5.0                 15.0 0.99700 3.37      0.56
##  [687,]                13.0                 40.0 0.99700 3.44      0.60
##  [688,]                13.0                 38.0 0.99980 3.28      0.59
##  [689,]                 4.0                  9.0 0.99620 3.40      0.47
##  [690,]                 5.0                 17.0 0.99760 3.30      1.05
##  [691,]                 5.0                 14.0 0.99660 3.63      0.54
##  [692,]                12.0                 93.0 0.99980 3.48      0.54
##  [693,]                16.0                 62.0 0.99790 3.03      1.17
##  [694,]                21.0                122.0 0.99840 3.32      0.62
##  [695,]                24.0                125.0 0.99840 3.31      0.61
##  [696,]                18.0                 44.0 0.99210 3.90      0.62
##  [697,]                 8.0                 25.0 0.99720 3.47      0.67
##  [698,]                 8.0                 25.0 0.99720 3.47      0.67
##  [699,]                18.0                 72.0 1.00010 3.31      0.53
##  [700,]                 5.0                 19.0 0.99860 3.11      0.62
##  [701,]                26.0                 88.0 0.99840 3.08      0.57
##  [702,]                 8.0                 25.0 0.99720 3.47      0.67
##  [703,]                 9.0                 23.0 0.99700 3.47      0.67
##  [704,]                22.0                 84.0 0.99720 3.32      0.70
##  [705,]                 4.0                 14.0 0.99800 3.29      0.54
##  [706,]                11.0                 54.0 0.99900 3.37      0.49
##  [707,]                10.0                 19.0 0.99560 3.40      0.47
##  [708,]                16.0                 37.0 0.99660 3.37      0.51
##  [709,]                11.0                 35.0 0.99600 3.34      0.61
##  [710,]                13.0                 33.0 0.99830 3.27      0.66
##  [711,]                21.0                 84.0 0.99850 3.06      0.57
##  [712,]                16.0                112.0 0.99980 3.38      0.61
##  [713,]                13.0                 33.0 0.99920 3.36      0.45
##  [714,]                10.0                 48.0 0.99760 3.34      0.46
##  [715,]                21.0                 77.0 0.99800 3.28      0.51
##  [716,]                13.0                 34.0 0.99670 3.29      0.48
##  [717,]                10.0                 48.0 0.99760 3.34      0.46
##  [718,]                12.0                 49.0 0.99680 3.21      0.57
##  [719,]                10.0                 22.0 0.99760 3.22      0.44
##  [720,]                17.0                 45.0 0.99760 3.46      0.54
##  [721,]                10.0                 22.0 0.99760 3.22      0.44
##  [722,]                35.0                106.0 0.99820 3.10      0.53
##  [723,]                15.0                 48.0 0.99680 3.21      0.59
##  [724,]                36.0                127.0 0.99650 2.94      1.62
##  [725,]                 5.0                 12.0 0.99580 3.54      0.60
##  [726,]                 5.0                 13.0 0.99760 3.29      0.55
##  [727,]                18.0                 49.0 0.99940 3.43      0.72
##  [728,]                 4.0                 11.0 0.99700 3.46      0.68
##  [729,]                 4.0                 11.0 0.99700 3.46      0.68
##  [730,]                27.0                 58.0 0.99500 3.61      0.49
##  [731,]                12.0                 37.0 0.99820 3.17      0.67
##  [732,]                 4.0                 14.0 0.99940 3.44      0.52
##  [733,]                10.0                 19.0 0.99660 3.39      0.47
##  [734,]                16.0                 72.0 0.99800 3.55      0.60
##  [735,]                 9.0                 39.0 0.99870 3.48      0.62
##  [736,]                11.0                 22.0 0.99630 3.26      0.50
##  [737,]                11.0                 22.0 0.99630 3.26      0.50
##  [738,]                19.0                 58.0 1.00020 3.50      0.65
##  [739,]                28.0                104.0 0.99830 3.10      0.56
##  [740,]                19.0                 38.0 0.99900 3.35      0.60
##  [741,]                12.0                 16.0 0.99650 3.45      0.68
##  [742,]                28.0                139.0 0.99788 3.21      0.57
##  [743,]                 9.0                 18.0 0.99720 3.46      0.65
##  [744,]                25.0                101.0 1.00024 3.13      0.53
##  [745,]                21.0                101.0 1.00010 3.13      0.51
##  [746,]                12.0                 28.0 0.99768 3.52      0.73
##  [747,]                12.0                 57.0 0.99780 3.30      0.47
##  [748,]                16.0                 68.0 0.99782 3.30      0.48
##  [749,]                12.0                 31.0 0.99761 3.52      0.72
##  [750,]                12.0                 28.0 0.99768 3.52      0.73
##  [751,]                17.0                 40.0 0.99803 3.29      0.55
##  [752,]                17.0                 40.0 0.99803 3.29      0.55
##  [753,]                24.0                 66.0 0.99785 3.39      0.61
##  [754,]                17.0                 40.0 0.99803 3.29      0.55
##  [755,]                14.0                 32.0 0.99656 3.09      1.06
##  [756,]                22.0                 47.0 0.99525 3.51      0.43
##  [757,]                15.0                 33.0 0.99488 3.60      0.46
##  [758,]                10.0                 31.0 0.99656 3.25      0.50
##  [759,]                10.0                 31.0 0.99656 3.25      0.50
##  [760,]                33.0                 88.0 0.99823 3.19      0.52
##  [761,]                 9.0                104.0 0.99779 3.23      0.57
##  [762,]                 5.0                 35.0 0.99738 3.25      0.42
##  [763,]                 8.0                 19.0 0.99701 3.31      0.53
##  [764,]                 5.0                 35.0 0.99738 3.25      0.42
##  [765,]                11.0                 44.0 0.99888 3.31      0.55
##  [766,]                12.0                 48.0 0.99888 3.31      0.54
##  [767,]                12.0                 74.0 0.99738 3.14      0.54
##  [768,]                13.0                 98.0 0.99938 3.45      0.62
##  [769,]                24.0                 94.0 0.99744 3.55      0.53
##  [770,]                 7.0                 32.0 0.99668 3.39      0.54
##  [771,]                24.0                 94.0 0.99744 3.55      0.53
##  [772,]                23.0                143.0 0.99780 3.28      0.55
##  [773,]                23.0                144.0 0.99782 3.27      0.55
##  [774,]                 1.0                 44.0 0.99730 3.30      0.92
##  [775,]                 2.0                 45.0 0.99727 3.31      0.91
##  [776,]                 7.0                 16.0 0.99586 3.43      0.46
##  [777,]                 5.5                 48.0 0.99612 3.40      0.60
##  [778,]                 6.0                 18.0 0.99610 3.40      0.59
##  [779,]                 7.0                 34.0 0.99788 3.36      0.61
##  [780,]                21.0                 92.0 0.99745 3.50      0.60
##  [781,]                12.0                 45.0 0.99676 3.31      0.60
##  [782,]                 9.0                 37.0 0.99732 3.66      0.65
##  [783,]                26.0                 96.0 0.99814 3.36      0.53
##  [784,]                 9.0                 37.0 0.99732 3.66      0.65
##  [785,]                20.0                 85.0 0.99746 3.55      0.59
##  [786,]                11.0                 61.0 0.99820 3.21      0.50
##  [787,]                11.0                 61.0 0.99820 3.21      0.50
##  [788,]                19.0                 58.0 0.99910 3.18      0.56
##  [789,]                19.0                 58.0 0.99910 3.18      0.56
##  [790,]                21.0                119.0 0.99800 3.09      0.52
##  [791,]                18.0                 82.0 0.99708 3.33      0.68
##  [792,]                25.0                130.0 0.99818 3.23      0.54
##  [793,]                17.0                 87.0 0.99745 3.48      0.60
##  [794,]                 7.0                 13.0 0.99639 3.38      0.56
##  [795,]                 7.0                 26.0 0.99531 3.17      0.53
##  [796,]                 7.0                 60.0 0.99786 2.99      1.18
##  [797,]                24.0                 64.0 0.99746 3.10      0.74
##  [798,]                21.0                 42.0 0.99526 3.24      0.81
##  [799,]                 5.0                 14.0 0.99870 3.29      0.52
##  [800,]                 5.0                 14.0 0.99870 3.29      0.52
##  [801,]                26.0                108.0 0.99641 3.25      0.51
##  [802,]                 8.0                 17.0 0.99735 3.23      0.44
##  [803,]                14.0                 86.0 0.99264 3.56      0.94
##  [804,]                14.0                 46.0 0.99710 3.24      0.66
##  [805,]                 4.0                 18.0 0.99682 3.26      0.57
##  [806,]                 4.0                 10.0 0.99356 3.33      0.70
##  [807,]                 4.0                 10.0 0.99386 3.27      0.71
##  [808,]                 4.0                 10.0 0.99356 3.33      0.70
##  [809,]                 4.0                 12.0 0.99702 3.26      0.86
##  [810,]                 4.0                 15.0 0.99693 3.22      0.55
##  [811,]                 4.0                 14.0 0.99562 3.30      0.47
##  [812,]                 7.0                 24.0 1.00012 3.09      0.68
##  [813,]                20.0                 38.0 0.99818 3.24      0.71
##  [814,]                 4.0                  7.0 0.99462 3.44      0.58
##  [815,]                19.0                 41.0 0.99939 3.21      0.76
##  [816,]                20.0                 38.0 0.99818 3.24      0.71
##  [817,]                 8.0                 30.0 0.99840 3.23      0.58
##  [818,]                19.0                 27.0 0.99545 3.28      0.73
##  [819,]                21.0                 47.0 0.99632 3.29      0.45
##  [820,]                 9.0                 59.0 0.99976 3.28      0.54
##  [821,]                 9.0                 22.0 0.99606 3.34      0.60
##  [822,]                16.0                 42.0 0.99154 3.71      0.74
##  [823,]                15.0                 36.0 0.99730 3.61      0.64
##  [824,]                15.0                 36.0 0.99730 3.61      0.64
##  [825,]                 6.0                 16.0 0.99682 3.24      0.53
##  [826,]                15.0                 37.0 0.99624 3.36      0.49
##  [827,]                 4.0                  8.0 0.99510 3.40      0.64
##  [828,]                15.0                 37.0 0.99624 3.36      0.49
##  [829,]                34.0                 45.0 0.99417 3.46      0.74
##  [830,]                16.0                 24.0 0.99376 3.56      0.77
##  [831,]                 5.0                  9.0 0.99632 3.38      0.55
##  [832,]                16.0                 24.0 0.99376 3.56      0.77
##  [833,]                34.0                 48.0 0.99832 3.38      0.86
##  [834,]                36.0                 51.0 0.99836 3.38      0.86
##  [835,]                16.0                 23.0 0.99694 3.32      0.47
##  [836,]                27.0                 55.0 0.99655 3.39      0.51
##  [837,]                36.0                100.0 0.99064 3.26      0.39
##  [838,]                36.0                100.0 0.99064 3.26      0.39
##  [839,]                 9.0                 28.0 0.99672 3.24      0.83
##  [840,]                13.0                 26.0 0.99647 3.46      0.47
##  [841,]                 9.0                 34.0 0.99736 3.24      0.77
##  [842,]                21.0                 31.0 0.99629 3.45      0.63
##  [843,]                34.0                 68.0 0.99708 3.23      0.72
##  [844,]                 9.0                 92.0 0.99630 3.28      0.62
##  [845,]                26.0                 42.0 0.99590 3.18      0.83
##  [846,]                14.0                 31.0 0.99689 3.59      0.66
##  [847,]                14.0                 31.0 0.99689 3.59      0.66
##  [848,]                12.0                 39.0 0.99770 3.50      0.70
##  [849,]                14.0                 31.0 0.99689 3.59      0.66
##  [850,]                12.0                 32.0 0.99689 3.58      0.66
##  [851,]                 9.0                 22.0 0.99708 3.28      0.55
##  [852,]                 9.0                 22.0 0.99708 3.28      0.55
##  [853,]                26.0                122.0 0.99801 3.22      1.07
##  [854,]                41.0                 55.0 0.99652 3.47      0.73
##  [855,]                41.0                 55.0 0.99652 3.47      0.73
##  [856,]                10.0                 14.0 0.99538 3.51      0.71
##  [857,]                41.0                 55.0 0.99652 3.47      0.73
##  [858,]                16.0                 47.0 0.99594 3.40      0.78
##  [859,]                17.0                 32.0 0.99686 3.15      0.67
##  [860,]                15.0                 24.0 0.99438 3.40      0.82
##  [861,]                15.0                 85.0 0.99746 3.51      0.54
##  [862,]                15.0                 88.0 0.99357 3.66      0.60
##  [863,]                 7.0                 25.0 0.99628 3.24      0.44
##  [864,]                17.0                 84.0 0.99746 3.51      0.53
##  [865,]                15.0                 85.0 0.99746 3.51      0.54
##  [866,]                16.0                 86.0 0.99748 3.51      0.54
##  [867,]                13.0                 24.0 0.99438 3.41      0.83
##  [868,]                13.0                 22.0 0.99438 3.40      0.84
##  [869,]                15.0                 24.0 0.99438 3.40      0.82
##  [870,]                27.0                 43.0 0.99578 3.44      0.64
##  [871,]                31.0                 43.0 0.99371 3.41      0.57
##  [872,]                36.0                 46.0 0.99522 3.53      0.57
##  [873,]                28.0                 48.0 0.99576 3.43      0.54
##  [874,]                 6.0                 10.0 0.99552 3.23      0.58
##  [875,]                 6.0                 10.0 0.99664 3.12      0.65
##  [876,]                 7.0                 16.0 0.99614 3.31      0.79
##  [877,]                 7.0                 14.0 0.99517 3.40      0.58
##  [878,]                31.0                 43.0 0.99371 3.41      0.57
##  [879,]                30.0                 69.0 0.99787 3.22      0.50
##  [880,]                18.0                 88.0 0.99745 3.53      0.55
##  [881,]                10.0                 21.0 0.99576 3.15      0.49
##  [882,]                30.0                 35.0 0.99533 3.48      0.65
##  [883,]                14.0                 26.0 0.99536 3.22      0.78
##  [884,]                18.0                 88.0 0.99745 3.53      0.55
##  [885,]                30.0                 69.0 0.99787 3.22      0.50
##  [886,]                 9.0                 30.0 0.99824 3.34      0.64
##  [887,]                 8.0                 28.0 0.99836 3.33      0.65
##  [888,]                29.0                 56.0 0.99577 3.15      0.79
##  [889,]                32.0                 64.0 0.99491 3.43      0.56
##  [890,]                23.0                 99.0 1.00289 3.22      0.68
##  [891,]                30.0                 52.0 0.99576 3.44      0.58
##  [892,]                16.0                 86.0 0.99743 3.53      0.57
##  [893,]                10.0                 18.0 0.99774 3.22      0.65
##  [894,]                16.0                 86.0 0.99743 3.53      0.57
##  [895,]                17.0                 88.0 0.99745 3.53      0.58
##  [896,]                27.0                 43.0 0.99550 3.42      0.58
##  [897,]                17.0                 43.0 0.99444 3.31      0.77
##  [898,]                27.0                 43.0 0.99550 3.42      0.58
##  [899,]                17.0                 43.0 0.99444 3.31      0.77
##  [900,]                 6.0                 11.0 0.99892 3.48      0.49
##  [901,]                10.0                 39.0 0.99562 3.40      0.69
##  [902,]                16.0                 33.0 0.99736 3.58      0.69
##  [903,]                16.0                 33.0 0.99736 3.58      0.69
##  [904,]                11.0                 18.0 0.99620 3.41      0.59
##  [905,]                11.0                 18.0 0.99620 3.41      0.59
##  [906,]                15.0                115.0 0.99800 3.23      0.59
##  [907,]                12.0                 78.0 0.99640 3.39      0.71
##  [908,]                 6.0                  9.0 0.99480 3.59      0.54
##  [909,]                34.0                 61.0 0.99528 3.43      0.59
##  [910,]                 7.0                 11.0 0.99331 3.29      0.52
##  [911,]                 3.0                 11.0 0.99577 3.23      0.57
##  [912,]                 3.0                  9.0 0.99901 3.18      0.60
##  [913,]                 4.0                  8.0 0.99674 3.33      0.62
##  [914,]                 3.0                 10.0 0.99639 3.27      0.64
##  [915,]                 7.0                 11.0 0.99331 3.29      0.52
##  [916,]                 3.0                  6.0 0.99512 3.27      0.67
##  [917,]                 7.0                 62.0 0.99395 3.62      0.61
##  [918,]                26.0                 45.0 0.99824 3.38      0.64
##  [919,]                32.0                 79.0 0.99640 3.30      0.72
##  [920,]                38.0                 46.0 0.99504 3.38      0.89
##  [921,]                10.0                 23.0 0.99786 3.24      0.56
##  [922,]                32.0                 79.0 0.99640 3.30      0.72
##  [923,]                38.0                 46.0 0.99504 3.38      0.89
##  [924,]                26.0                 45.0 0.99824 3.38      0.64
##  [925,]                14.0                 28.0 0.99516 3.18      0.80
##  [926,]                53.0                 77.0 0.99604 3.47      0.87
##  [927,]                52.0                 73.0 0.99786 3.47      0.90
##  [928,]                11.0                 75.0 0.99736 3.20      0.59
##  [929,]                14.0                 28.0 0.99516 3.18      0.80
##  [930,]                10.0                 19.0 0.99468 3.30      0.73
##  [931,]                 8.0                 25.0 0.99746 3.69      0.73
##  [932,]                13.0                 38.0 0.99748 3.48      0.65
##  [933,]                29.0                 66.0 0.99710 3.45      0.59
##  [934,]                13.0                 38.0 0.99748 3.48      0.65
##  [935,]                 8.0                 25.0 0.99746 3.69      0.73
##  [936,]                19.0                 72.0 0.99543 3.39      0.72
##  [937,]                19.0                 72.0 0.99543 3.39      0.72
##  [938,]                 6.0                 26.0 0.99791 3.07      0.60
##  [939,]                23.0                 42.0 0.99356 3.34      0.72
##  [940,]                 7.0                 11.0 0.99425 3.61      0.54
##  [941,]                13.0                 25.0 0.99509 3.36      0.76
##  [942,]                 9.0                 17.0 0.99484 3.19      0.52
##  [943,]                13.0                 52.0 0.99834 3.22      0.64
##  [944,]                10.0                 45.0 0.99864 3.24      0.60
##  [945,]                11.0                 24.0 0.99498 3.27      0.64
##  [946,]                 7.0                 20.0 0.99566 3.14      0.79
##  [947,]                11.0                 24.0 0.99745 3.29      0.99
##  [948,]                 6.0                 12.0 0.99408 3.26      0.62
##  [949,]                10.0                 21.0 0.99552 3.41      0.76
##  [950,]                10.0                 21.0 0.99552 3.41      0.76
##  [951,]                10.0                 21.0 0.99552 3.41      0.76
##  [952,]                 6.0                 12.0 0.99408 3.26      0.62
##  [953,]                 6.0                 10.0 0.99536 3.31      0.68
##  [954,]                 5.0                  9.0 0.99458 3.20      0.69
##  [955,]                 6.0                 11.0 0.99538 3.44      0.54
##  [956,]                 9.0                 23.0 0.99648 3.36      0.67
##  [957,]                 5.0                 10.0 0.99568 3.31      0.62
##  [958,]                12.0                 51.0 0.99613 3.29      0.58
##  [959,]                25.0                 36.0 0.99519 3.47      0.71
##  [960,]                12.0                 32.0 0.99735 3.36      0.61
##  [961,]                18.0                 38.0 0.99518 3.16      0.85
##  [962,]                 7.0                 18.0 0.99592 3.27      0.62
##  [963,]                 6.0                 16.0 0.99654 3.38      0.69
##  [964,]                20.0                 27.0 0.99546 3.15      0.69
##  [965,]                18.0                 38.0 0.99518 3.16      0.85
##  [966,]                24.0                 48.0 0.99554 3.34      0.86
##  [967,]                 6.0                 10.0 0.99604 3.13      0.58
##  [968,]                23.0                113.0 0.99733 3.13      0.48
##  [969,]                29.0                 46.0 0.99430 3.20      0.60
##  [970,]                 7.0                 22.0 0.99669 3.46      0.61
##  [971,]                 6.0                 10.0 0.99724 3.33      0.87
##  [972,]                 6.0                 10.0 0.99724 3.33      0.87
##  [973,]                 6.0                 13.0 0.99643 3.22      0.65
##  [974,]                 6.0                 12.0 0.99605 3.52      0.63
##  [975,]                 7.0                 13.0 0.99658 3.30      0.62
##  [976,]                35.0                 72.0 0.99700 3.44      0.52
##  [977,]                35.0                 72.0 0.99700 3.44      0.52
##  [978,]                31.0                119.0 0.99801 3.15      0.50
##  [979,]                 9.0                 29.0 0.99416 3.28      0.49
##  [980,]                 3.0                  6.0 0.99690 3.13      0.63
##  [981,]                 8.0                 17.0 0.99774 3.32      0.71
##  [982,]                13.0                 28.0 0.99712 3.25      0.62
##  [983,]                51.0                 70.0 0.99418 3.34      0.82
##  [984,]                 8.0                 17.0 0.99774 3.32      0.71
##  [985,]                 3.0                  6.0 0.99690 3.13      0.63
##  [986,]                 7.0                 11.0 0.99562 3.45      0.58
##  [987,]                 3.0                  7.0 0.99470 3.19      0.55
##  [988,]                35.0                 70.0 0.99693 3.44      0.50
##  [989,]                19.0                 27.0 0.99596 3.16      0.49
##  [990,]                14.0                 21.0 0.99556 3.14      0.51
##  [991,]                19.0                 27.0 0.99596 3.16      0.49
##  [992,]                31.0                 68.0 0.99694 3.45      0.48
##  [993,]                30.0                 47.0 0.99554 3.36      0.48
##  [994,]                31.0                 68.0 0.99694 3.45      0.48
##  [995,]                20.0                 88.0 0.99918 3.15      0.43
##  [996,]                19.0                 41.0 0.99697 3.39      0.62
##  [997,]                 3.0                 11.0 0.99378 3.71      0.63
##  [998,]                 3.0                 11.0 0.99378 3.71      0.63
##  [999,]                 4.0                 10.0 0.99554 3.12      0.48
## [1000,]                 7.0                 12.0 0.99162 3.47      0.53
## [1001,]                 6.0                 12.0 0.99495 3.44      0.72
## [1002,]                31.0                 47.0 0.99676 3.26      0.82
## [1003,]                13.0                 27.0 0.99516 3.26      0.84
## [1004,]                 4.0                  8.0 0.99280 3.36      0.55
## [1005,]                27.0                 45.0 0.99603 3.25      0.54
## [1006,]                 4.0                  8.0 0.99280 3.36      0.55
## [1007,]                13.0                 27.0 0.99516 3.26      0.84
## [1008,]                12.0                 25.0 0.99516 3.26      0.84
## [1009,]                12.0                 24.0 0.99549 3.23      0.70
## [1010,]                26.0                 55.0 0.99722 3.18      0.68
## [1011,]                 7.0                 12.0 0.99354 3.25      0.55
## [1012,]                12.0                 19.0 0.99570 3.17      0.55
## [1013,]                11.0                 32.0 0.99604 3.23      0.48
## [1014,]                22.0                 31.0 0.99635 3.38      0.58
## [1015,]                 3.0                  7.0 0.99454 3.22      0.58
## [1016,]                14.0                 27.0 0.99598 3.06      0.84
## [1017,]                12.0                 28.0 0.99486 3.27      0.75
## [1018,]                36.0                109.0 0.99007 2.89      0.44
## [1019,]                36.0                109.0 0.99007 2.89      0.44
## [1020,]                10.0                 23.0 0.99636 3.53      0.61
## [1021,]                 3.0                  8.0 0.99642 3.20      0.53
## [1022,]                 3.0                  8.0 0.99642 3.20      0.53
## [1023,]                 4.0                  9.0 0.99584 3.35      0.54
## [1024,]                 3.0                  9.0 0.99506 3.27      0.55
## [1025,]                12.0                 18.0 0.99568 3.32      0.56
## [1026,]                17.0                 43.0 0.99822 3.33      0.60
## [1027,]                14.0                 36.0 0.99364 3.41      0.56
## [1028,]                28.0                 52.0 0.99378 3.49      0.52
## [1029,]                41.0                 68.0 0.99586 3.37      0.54
## [1030,]                12.0                 18.0 0.99568 3.32      0.56
## [1031,]                 9.0                 14.0 0.99488 3.42      0.55
## [1032,]                 9.0                 15.0 0.99514 3.35      0.58
## [1033,]                 5.0                 14.0 0.99854 3.36      0.53
## [1034,]                14.0                 27.0 0.99592 3.30      0.59
## [1035,]                15.0                 48.0 0.99739 3.20      0.47
## [1036,]                 5.0                 17.0 0.99683 3.17      0.65
## [1037,]                26.0                 35.0 0.99356 3.22      0.59
## [1038,]                20.0                 56.0 0.99672 3.35      0.56
## [1039,]                25.0                 42.0 0.99530 3.24      0.77
## [1040,]                21.0                 39.0 0.99692 3.33      0.83
## [1041,]                16.0                 32.0 0.99756 3.58      0.67
## [1042,]                13.0                 26.0 0.99547 3.38      0.64
## [1043,]                21.0                 39.0 0.99692 3.33      0.83
## [1044,]                18.0                 39.0 0.99859 3.29      0.81
## [1045,]                12.0                 53.0 0.99294 3.36      0.62
## [1046,]                32.0                 38.0 0.99438 3.32      0.58
## [1047,]                33.0                 45.0 0.99612 3.31      0.62
## [1048,]                27.0                 51.0 0.99634 3.49      0.64
## [1049,]                 3.0                 14.0 0.99702 3.27      0.78
## [1050,]                 6.0                 17.0 0.99704 3.27      0.77
## [1051,]                27.0                 51.0 0.99634 3.49      0.64
## [1052,]                16.0                 45.0 0.99702 3.03      1.34
## [1053,]                19.0                 25.0 0.99258 3.56      0.55
## [1054,]                 9.0                 20.0 0.99426 3.38      0.77
## [1055,]                 5.0                 77.0 0.99747 3.13      0.62
## [1056,]                 5.0                 77.0 0.99747 3.13      0.62
## [1057,]                 3.0                 10.0 0.99586 3.21      0.59
## [1058,]                28.0                 90.0 0.99784 3.15      0.57
## [1059,]                30.0                 52.0 0.99710 3.19      0.76
## [1060,]                 3.0                 10.0 0.99586 3.21      0.59
## [1061,]                 3.0                  8.0 0.99810 3.14      0.70
## [1062,]                 7.0                 16.0 0.99462 3.21      0.69
## [1063,]                 6.0                 15.0 0.99560 3.30      0.64
## [1064,]                 6.0                 17.0 0.99565 3.22      0.63
## [1065,]                 5.0                 10.0 0.99418 3.28      0.57
## [1066,]                 6.0                 20.0 0.99630 3.29      0.60
## [1067,]                13.0                 26.0 0.99358 3.40      0.72
## [1068,]                 3.0                 10.0 0.99572 3.02      0.83
## [1069,]                 3.0                 10.0 0.99572 3.02      0.83
## [1070,]                28.0                 52.0 0.99700 3.31      0.62
## [1071,]                19.0                 37.0 0.99498 3.18      0.89
## [1072,]                30.0                 92.0 0.99892 3.20      0.58
## [1073,]                33.0                 75.0 0.99680 3.40      0.58
## [1074,]                16.0                 37.0 0.99720 3.31      0.58
## [1075,]                30.0                 92.0 0.99892 3.20      0.58
## [1076,]                45.0                 67.0 0.99769 3.44      0.86
## [1077,]                 3.0                  8.0 0.99534 3.15      0.73
## [1078,]                 3.0                  8.0 0.99817 3.27      0.58
## [1079,]                 3.0                  8.0 0.99817 3.27      0.58
## [1080,]                37.5                278.0 0.99316 3.01      0.51
## [1081,]                 3.0                  8.0 0.99471 3.16      0.51
## [1082,]                37.5                289.0 0.99316 3.01      0.51
## [1083,]                31.0                 70.0 0.99685 3.42      0.59
## [1084,]                32.0                 59.0 0.99617 3.33      0.77
## [1085,]                31.0                 70.0 0.99685 3.42      0.59
## [1086,]                40.0                 64.0 0.99529 3.12      0.49
## [1087,]                 3.0                  9.0 0.99738 3.38      0.66
## [1088,]                18.0                 30.0 0.99400 3.29      0.69
## [1089,]                22.0                 41.0 0.99735 3.02      0.76
## [1090,]                22.0                 41.0 0.99735 3.02      0.76
## [1091,]                42.0                 74.0 0.99451 2.98      0.63
## [1092,]                 8.0                 19.0 0.99546 3.35      0.60
## [1093,]                10.0                 16.0 0.99479 3.43      0.59
## [1094,]                11.0                 31.0 0.99615 3.33      0.86
## [1095,]                 9.0                 17.0 0.99655 3.35      0.49
## [1096,]                 6.0                 20.0 0.99772 3.15      0.50
## [1097,]                 9.0                 17.0 0.99655 3.35      0.49
## [1098,]                 5.0                 18.0 0.99666 3.20      0.52
## [1099,]                 5.0                 16.0 0.99358 3.15      0.81
## [1100,]                 5.0                 18.0 0.99666 3.20      0.52
## [1101,]                23.0                 36.0 0.99392 3.11      0.78
## [1102,]                14.0                 25.0 0.99388 3.35      0.63
## [1103,]                18.0                 30.0 0.99402 3.45      0.54
## [1104,]                14.0                 25.0 0.99388 3.35      0.63
## [1105,]                16.0                 25.0 0.99360 3.28      0.66
## [1106,]                13.0                 49.0 0.99374 3.41      0.60
## [1107,]                 9.0                 17.0 0.99376 3.21      0.54
## [1108,]                10.0                 24.0 0.99523 3.27      0.85
## [1109,]                 4.0                 13.0 0.99855 3.36      0.49
## [1110,]                27.0                 66.0 0.99820 3.17      0.76
## [1111,]                 6.0                 14.0 0.99593 3.25      0.64
## [1112,]                23.0                 55.0 0.99471 3.78      0.64
## [1113,]                 6.0                 35.0 0.99396 3.29      0.71
## [1114,]                 3.0                 10.0 0.99698 3.12      0.59
## [1115,]                29.0                 80.0 0.99020 3.49      0.66
## [1116,]                15.0                 21.0 0.99572 3.38      0.60
## [1117,]                15.0                 21.0 0.99572 3.38      0.60
## [1118,]                15.0                 21.0 0.99572 3.38      0.60
## [1119,]                14.0                 24.0 0.99252 3.30      0.53
## [1120,]                 7.0                 15.0 0.99256 3.52      0.58
## [1121,]                 8.0                 17.0 0.99235 3.20      0.72
## [1122,]                21.0                 28.0 0.99352 3.44      0.55
## [1123,]                27.0                 33.0 0.99220 3.45      0.48
## [1124,]                17.0                 29.0 0.99674 3.12      0.65
## [1125,]                 3.0                 13.0 0.99557 3.62      0.62
## [1126,]                13.0                 27.0 0.99394 3.14      0.59
## [1127,]                 3.0                 11.0 0.99150 3.39      0.54
## [1128,]                26.0                 52.0 0.99379 3.51      0.60
## [1129,]                28.0                 89.0 0.99840 3.22      0.68
## [1130,]                24.0                 70.0 0.99798 3.21      0.69
## [1131,]                 5.0                 10.0 0.99770 3.18      0.63
## [1132,]                57.0                135.0 0.99341 3.32      0.44
## [1133,]                18.0                 38.0 0.99330 3.38      0.88
## [1134,]                10.0                 18.0 0.99684 3.37      0.68
## [1135,]                 6.0                 15.0 0.99524 3.30      0.74
## [1136,]                22.0                 50.0 0.99460 3.38      0.60
## [1137,]                 6.0                 13.0 0.99774 3.22      0.76
## [1138,]                 6.0                 13.0 0.99774 3.22      0.76
## [1139,]                29.0                 94.0 0.99786 3.14      0.58
## [1140,]                16.0                 86.0 0.99764 3.34      0.64
## [1141,]                33.0                 79.0 0.99690 3.41      0.65
## [1142,]                24.0                 71.0 0.99624 3.27      0.85
## [1143,]                 6.0                 12.0 0.99354 3.30      0.65
## [1144,]                16.0                 20.0 0.99672 3.61      0.82
## [1145,]                35.0                 70.0 0.99588 3.43      0.62
## [1146,]                31.0                 51.0 0.99672 3.53      0.81
## [1147,]                 6.0                 21.0 0.99600 3.28      0.87
## [1148,]                 6.0                 14.0 0.99702 3.21      0.49
## [1149,]                 9.0                 21.0 0.99526 3.39      0.66
## [1150,]                 6.0                 11.0 0.99585 3.23      0.52
## [1151,]                 4.0                 12.0 0.99473 3.30      0.76
## [1152,]                16.0                 70.0 0.99352 3.46      0.65
## [1153,]                 9.0                 38.0 0.99616 3.15      0.53
## [1154,]                17.0                 38.0 0.99622 3.23      0.66
## [1155,]                50.0                 63.0 0.99544 3.59      0.68
## [1156,]                 9.0                 38.0 0.99616 3.15      0.53
## [1157,]                45.0                 88.0 0.99524 3.33      0.76
## [1158,]                16.0                101.0 0.99240 3.46      0.87
## [1159,]                22.0                 54.0 0.99572 3.42      1.16
## [1160,]                11.0                 37.0 0.99728 3.16      0.67
## [1161,]                 6.0                 20.0 0.99676 3.14      0.72
## [1162,]                12.0                 21.0 0.99551 3.21      0.75
## [1163,]                12.0                 19.0 0.99434 3.14      0.71
## [1164,]                10.0                 21.0 0.99692 3.29      0.67
## [1165,]                10.0                 21.0 0.99692 3.29      0.67
## [1166,]                15.0                 38.0 0.99634 3.01      1.10
## [1167,]                 7.0                 60.0 0.99709 2.94      0.98
## [1168,]                29.0                 48.0 0.99528 3.32      0.88
## [1169,]                 8.0                 44.0 0.99384 3.21      0.56
## [1170,]                 5.0                 14.0 0.99502 3.32      0.62
## [1171,]                 5.0                 12.0 0.99667 3.20      0.67
## [1172,]                26.0                 44.0 0.99522 3.42      0.68
## [1173,]                 5.0                 16.0 0.99649 3.27      0.74
## [1174,]                26.0                 65.0 0.99716 3.46      0.62
## [1175,]                26.0                 65.0 0.99716 3.46      0.62
## [1176,]                48.0                 59.0 0.99541 3.61      0.70
## [1177,]                23.0                 47.0 0.99572 3.58      0.50
## [1178,]                 6.0                 11.0 0.99318 3.35      0.66
## [1179,]                17.0                 78.0 0.99346 3.68      0.73
## [1180,]                11.0                 47.0 0.99599 3.27      0.81
## [1181,]                11.0                 47.0 0.99599 3.27      0.81
## [1182,]                 5.0                 11.0 0.99478 3.19      0.46
## [1183,]                41.0                 54.0 0.99754 3.38      0.86
## [1184,]                16.0                 61.0 0.99572 3.29      0.60
## [1185,]                11.0                119.0 0.99538 3.36      0.70
## [1186,]                 6.0                 39.0 0.99346 3.33      0.46
## [1187,]                 6.0                 12.0 0.99630 3.52      0.50
## [1188,]                 6.0                 39.0 0.99346 3.33      0.46
## [1189,]                11.0                119.0 0.99538 3.36      0.70
## [1190,]                 5.0                 19.0 0.99616 3.30      0.44
## [1191,]                 6.0                 20.0 0.99652 3.28      0.57
## [1192,]                 6.0                 12.0 0.99551 3.56      0.51
## [1193,]                11.0                 41.0 0.99439 3.52      0.80
## [1194,]                 6.0                 12.0 0.99551 3.56      0.51
## [1195,]                15.0                 64.0 0.99588 3.22      0.59
## [1196,]                21.0                 56.0 0.99633 3.52      0.60
## [1197,]                23.0                 94.0 0.99686 3.21      0.58
## [1198,]                 4.0                  9.0 0.99458 3.16      0.54
## [1199,]                19.0                 77.0 0.99510 3.15      0.79
## [1200,]                23.0                 94.0 0.99686 3.21      0.58
## [1201,]                 4.0                  9.0 0.99458 3.16      0.54
## [1202,]                 5.0                 10.0 0.99419 3.27      0.54
## [1203,]                 6.0                 12.0 0.99516 3.35      0.69
## [1204,]                33.0                 76.0 0.99878 3.14      0.55
## [1205,]                24.0                 44.0 0.99534 3.40      0.85
## [1206,]                24.0                 44.0 0.99534 3.40      0.85
## [1207,]                24.0                 44.0 0.99534 3.40      0.85
## [1208,]                24.0                 52.0 0.99752 3.35      0.94
## [1209,]                24.0                 44.0 0.99534 3.40      0.85
## [1210,]                14.0                 24.0 0.99428 3.45      0.87
## [1211,]                 8.0                 15.0 0.99498 3.35      0.62
## [1212,]                22.0                 53.0 0.99570 3.32      0.62
## [1213,]                 8.0                 15.0 0.99498 3.35      0.62
## [1214,]                 5.0                 13.0 0.99659 3.15      0.75
## [1215,]                 6.0                  9.0 0.99628 3.10      0.48
## [1216,]                20.0                 29.0 0.99488 3.26      0.56
## [1217,]                10.0                 79.0 0.99677 3.29      0.69
## [1218,]                43.0                 74.0 0.99408 3.23      0.81
## [1219,]                 8.0                 24.0 0.99600 3.24      0.69
## [1220,]                25.0                 50.0 0.99478 3.20      0.83
## [1221,]                17.0                 44.0 0.99734 3.28      0.77
## [1222,]                17.0                 44.0 0.99734 3.28      0.77
## [1223,]                33.0                 89.0 0.99678 3.26      0.46
## [1224,]                 9.0                 23.0 0.99638 3.23      0.76
## [1225,]                 8.0                 20.0 0.99920 3.07      0.82
## [1226,]                18.0                 77.0 0.99922 3.15      0.51
## [1227,]                27.0                 46.0 0.99592 3.02      0.47
## [1228,]                 8.0                 21.0 0.99769 3.27      0.72
## [1229,]                18.0                 88.0 0.99157 3.68      0.73
## [1230,]                19.0                 66.0 0.99718 3.40      0.64
## [1231,]                15.0                 58.0 0.99470 3.37      0.78
## [1232,]                48.0                 90.0 0.99621 3.38      0.62
## [1233,]                19.0                 66.0 0.99718 3.40      0.64
## [1234,]                14.0                 36.0 0.99614 3.23      0.49
## [1235,]                11.0                 18.0 0.99242 3.39      0.40
## [1236,]                 6.0                113.0 0.99572 3.30      0.56
## [1237,]                 7.0                 17.0 0.99659 3.26      0.64
## [1238,]                11.0                 18.0 0.99242 3.39      0.40
## [1239,]                12.0                 24.0 0.99798 3.38      0.46
## [1240,]                11.0                 20.0 0.99488 3.45      0.56
## [1241,]                36.0                 60.0 0.99494 3.10      0.40
## [1242,]                28.0                 65.0 0.99729 3.16      0.59
## [1243,]                15.0                 40.0 0.99414 3.22      0.60
## [1244,]                10.0                 86.0 0.99830 3.37      0.62
## [1245,]                72.0                160.0 0.99721 3.33      0.54
## [1246,]                15.0                 34.0 0.99655 3.49      0.68
## [1247,]                15.0                 48.0 0.99502 3.12      0.48
## [1248,]                15.0                 34.0 0.99655 3.49      0.68
## [1249,]                22.0                 36.0 0.99490 3.41      0.75
## [1250,]                24.0                 37.0 0.99514 3.40      0.61
## [1251,]                24.0                 37.0 0.99514 3.40      0.61
## [1252,]                27.0                 60.0 0.99630 3.28      0.59
## [1253,]                 6.0                 14.0 0.99627 3.45      0.58
## [1254,]                 6.0                 13.0 0.99569 3.43      0.58
## [1255,]                20.0                 35.0 0.99628 3.40      0.69
## [1256,]                26.0                 46.0 0.99358 3.47      0.45
## [1257,]                43.0                 60.0 0.99499 3.10      0.42
## [1258,]                12.0                 69.0 0.99633 3.32      0.70
## [1259,]                15.0                 33.0 0.99538 3.44      0.63
## [1260,]                15.0                 33.0 0.99538 3.44      0.63
## [1261,]                19.0                 56.0 0.99632 3.02      1.15
## [1262,]                17.0                 24.0 0.99437 3.59      0.55
## [1263,]                34.0                 66.0 0.99726 3.15      0.58
## [1264,]                13.0                 26.0 0.99780 3.37      0.46
## [1265,]                26.0                 51.0 0.99456 3.38      0.72
## [1266,]                16.0                 36.0 0.99564 3.38      0.60
## [1267,]                16.0                 36.0 0.99564 3.38      0.60
## [1268,]                13.0                 19.0 0.99600 3.10      0.87
## [1269,]                21.0                 51.0 0.99668 3.47      0.55
## [1270,]                28.0                 87.0 0.99080 3.50      0.82
## [1271,]                26.0                 60.0 0.99084 3.70      0.75
## [1272,]                24.0                 64.0 0.99350 3.38      0.57
## [1273,]                25.0                 44.0 0.99385 3.50      0.53
## [1274,]                34.0                 44.0 0.99494 3.10      0.43
## [1275,]                17.0                 36.0 0.99440 3.24      0.53
## [1276,]                13.0                 81.0 0.99688 3.24      0.54
## [1277,]                 3.0                 10.0 0.99566 3.28      0.56
## [1278,]                 3.0                 10.0 0.99636 3.35      0.60
## [1279,]                13.0                 81.0 0.99688 3.24      0.54
## [1280,]                 3.0                  9.0 0.99480 3.14      0.57
## [1281,]                28.0                 54.0 0.99560 3.37      0.64
## [1282,]                28.0                 54.0 0.99560 3.37      0.64
## [1283,]                 9.0                 22.0 0.99619 3.33      0.68
## [1284,]                17.0                 69.0 0.99734 3.26      0.63
## [1285,]                18.0                 36.0 0.99476 3.39      0.56
## [1286,]                20.0                 47.0 0.99734 3.15      0.57
## [1287,]                17.0                 31.0 0.99328 3.35      0.54
## [1288,]                 3.0                  7.0 0.99286 3.22      0.37
## [1289,]                20.0                110.0 0.99914 3.30      1.17
## [1290,]                20.0                110.0 0.99914 3.30      1.17
## [1291,]                 6.0                 12.0 0.99521 3.36      0.59
## [1292,]                25.0                 60.0 0.99638 3.29      0.75
## [1293,]                14.0                 28.0 0.99362 3.62      0.67
## [1294,]                 6.0                 12.0 0.99672 3.34      0.49
## [1295,]                25.0                 60.0 0.99638 3.29      0.75
## [1296,]                51.0                 77.5 0.99558 3.20      0.45
## [1297,]                51.0                 77.5 0.99558 3.20      0.45
## [1298,]                15.0                 29.0 0.99323 3.35      0.61
## [1299,]                11.0                 18.0 0.99191 3.45      0.56
## [1300,]                 5.0                  9.0 0.99476 3.50      0.40
## [1301,]                15.0                 28.0 0.99444 3.78      0.61
## [1302,]                20.0                 57.0 0.99598 3.60      0.74
## [1303,]                 4.0                 15.0 0.99576 3.30      0.80
## [1304,]                28.0                 68.0 0.99501 3.36      0.66
## [1305,]                21.0                 68.0 0.99550 3.12      0.44
## [1306,]                24.0                 88.0 0.99612 3.30      0.53
## [1307,]                22.0                 91.0 0.99790 3.29      0.62
## [1308,]                15.0                 29.0 0.99524 3.41      0.52
## [1309,]                22.0                 91.0 0.99790 3.29      0.62
## [1310,]                27.0                 63.0 0.99600 3.28      0.61
## [1311,]                24.0                 88.0 0.99612 3.30      0.53
## [1312,]                12.0                 27.0 0.99290 3.33      0.59
## [1313,]                14.0                 41.0 0.99532 3.34      0.47
## [1314,]                20.0                 65.0 0.99558 3.40      0.54
## [1315,]                24.0                 69.0 0.99556 3.40      0.53
## [1316,]                17.0                 91.0 0.99616 3.26      0.58
## [1317,]                16.0                 46.0 0.99258 4.01      0.59
## [1318,]                10.0                 41.0 0.99638 3.18      0.69
## [1319,]                17.0                 91.0 0.99616 3.26      0.58
## [1320,]                18.0                 64.0 0.99652 2.90      1.33
## [1321,]                12.0                 88.0 0.99796 3.26      0.66
## [1322,]                16.0                 46.0 0.99258 4.01      0.59
## [1323,]                 9.0                 18.0 0.99392 3.18      0.55
## [1324,]                21.0                 55.0 0.99495 3.18      0.82
## [1325,]                18.0                 34.0 0.99480 3.39      0.60
## [1326,]                18.0                 34.0 0.99480 3.39      0.60
## [1327,]                18.0                 34.0 0.99480 3.39      0.60
## [1328,]                18.0                 34.0 0.99480 3.39      0.60
## [1329,]                13.0                 38.0 0.99550 3.34      0.52
## [1330,]                17.0                 91.0 0.99616 3.29      0.56
## [1331,]                17.0                 91.0 0.99616 3.29      0.56
## [1332,]                31.0                 67.0 0.99668 3.26      0.46
## [1333,]                 6.0                 25.0 0.99581 3.09      0.43
## [1334,]                12.0                 48.0 0.99760 3.18      0.51
## [1335,]                 4.0                 11.0 0.99608 3.39      0.52
## [1336,]                19.0                 40.0 0.99387 3.38      0.66
## [1337,]                15.0                 26.0 0.99448 3.36      0.45
## [1338,]                15.0                 26.0 0.99448 3.36      0.45
## [1339,]                15.0                 26.0 0.99448 3.36      0.45
## [1340,]                13.0                 31.0 0.99538 3.36      0.54
## [1341,]                13.0                 31.0 0.99538 3.36      0.54
## [1342,]                13.0                 31.0 0.99538 3.36      0.54
## [1343,]                17.0                 31.0 0.99589 3.37      0.51
## [1344,]                13.0                 31.0 0.99538 3.36      0.54
## [1345,]                 8.0                 20.0 0.99852 3.09      0.53
## [1346,]                10.0                 28.0 0.99613 3.25      0.53
## [1347,]                 5.0                 13.0 0.99472 3.52      0.56
## [1348,]                 7.0                 12.0 0.99587 3.34      0.39
## [1349,]                 7.0                 12.0 0.99587 3.34      0.39
## [1350,]                21.0                 41.0 0.99518 3.41      0.52
## [1351,]                32.0                 73.0 0.99654 3.34      0.57
## [1352,]                 8.0                 46.0 0.99332 3.32      0.51
## [1353,]                14.0                 57.0 0.99690 3.37      0.46
## [1354,]                14.0                 57.0 0.99690 3.37      0.46
## [1355,]                 7.0                 28.0 0.99568 3.35      0.52
## [1356,]                 5.0                 32.0 0.99464 3.36      0.44
## [1357,]                 4.0                 28.0 0.99464 3.36      0.44
## [1358,]                27.0                 67.0 0.99648 3.60      0.59
## [1359,]                52.0                 98.0 0.99736 3.28      0.50
## [1360,]                 6.0                 28.0 0.99704 3.07      0.65
## [1361,]                11.0                 38.0 0.99699 3.24      0.56
## [1362,]                13.0                 54.0 0.99724 3.36      0.54
## [1363,]                 6.0                 28.0 0.99704 3.07      0.65
## [1364,]                11.0                 63.0 0.99652 3.29      0.48
## [1365,]                10.0                 31.0 0.99500 3.46      0.53
## [1366,]                10.0                 42.0 0.99710 3.18      0.62
## [1367,]                10.0                 45.0 0.99576 3.24      0.50
## [1368,]                 9.0                105.0 0.99725 3.25      1.18
## [1369,]                16.0                 74.0 0.99656 3.27      0.50
## [1370,]                 4.0                  8.0 0.99396 3.33      0.37
## [1371,]                12.0                 66.0 0.99623 3.00      1.17
## [1372,]                 5.0                 14.0 0.99476 3.21      1.03
## [1373,]                12.0                 66.0 0.99623 3.00      1.17
## [1374,]                34.0                 89.0 0.99664 3.24      0.45
## [1375,]                16.0                 29.0 0.99471 3.32      0.51
## [1376,]                13.0                100.0 0.99586 3.26      0.52
## [1377,]                 7.0                 31.0 0.99460 3.11      0.46
## [1378,]                23.0                 74.0 0.99530 3.71      0.62
## [1379,]                10.0                 28.0 0.99609 3.29      0.51
## [1380,]                11.0                 35.0 0.99557 3.36      0.62
## [1381,]                11.0                 35.0 0.99557 3.36      0.62
## [1382,]                 4.0                 25.0 0.99534 3.38      0.45
## [1383,]                25.0                105.0 0.99613 3.30      0.49
## [1384,]                25.0                105.0 0.99613 3.30      0.49
## [1385,]                20.0                 84.0 0.99593 3.19      0.50
## [1386,]                34.0                 85.0 0.99668 3.19      0.42
## [1387,]                 8.0                 23.0 0.99610 3.30      0.58
## [1388,]                 8.0                 23.0 0.99610 3.30      0.58
## [1389,]                 7.0                 49.0 0.99718 3.35      0.68
## [1390,]                36.0                111.0 0.99524 3.10      0.53
## [1391,]                15.0                 33.0 0.99292 3.58      0.59
## [1392,]                 5.0                 33.0 0.99612 3.37      0.58
## [1393,]                 5.0                 12.0 0.99420 3.17      0.48
## [1394,]                19.0                 59.0 0.99612 3.30      0.48
## [1395,]                27.0                 73.0 0.99669 3.32      0.48
## [1396,]                 3.0                 12.0 0.99745 3.31      0.65
## [1397,]                 4.0                 11.0 0.99745 3.31      0.65
## [1398,]                17.0                104.0 0.99584 3.28      0.52
## [1399,]                13.0                 28.0 0.99660 3.52      0.62
## [1400,]                10.0                 24.0 0.99560 3.42      0.72
## [1401,]                33.0                141.0 0.99620 3.25      0.51
## [1402,]                33.0                141.0 0.99620 3.25      0.51
## [1403,]                 6.0                 24.0 0.99630 3.44      0.82
## [1404,]                 3.0                 13.0 0.99600 3.23      1.10
## [1405,]                12.0                 46.0 0.99850 3.43      0.62
## [1406,]                18.0                 34.0 0.99520 3.28      0.90
## [1407,]                 8.0                 22.0 0.99740 3.22      0.94
## [1408,]                40.0                 54.0 0.99500 3.54      0.93
## [1409,]                35.0                 53.0 0.99500 3.27      1.01
## [1410,]                40.0                 54.0 0.99500 3.54      0.93
## [1411,]                 5.0                 16.0 0.99360 3.50      0.44
## [1412,]                 8.0                 19.0 0.99630 3.56      0.73
## [1413,]                 8.0                 22.0 0.99740 3.22      0.94
## [1414,]                12.0                 89.0 0.99630 3.04      0.90
## [1415,]                 3.0                 15.0 0.99940 3.20      0.78
## [1416,]                 8.0                 18.0 0.99660 3.56      0.84
## [1417,]                 3.0                 15.0 0.99940 3.20      0.78
## [1418,]                21.0                 37.0 0.99520 3.35      0.77
## [1419,]                 3.0                 19.0 0.99500 3.16      0.46
## [1420,]                32.0                133.0 0.99560 3.27      0.45
## [1421,]                 3.0                 19.0 0.99500 3.16      0.46
## [1422,]                24.0                 58.0 0.99650 3.34      0.58
## [1423,]                39.0                 55.0 0.99560 3.39      0.84
## [1424,]                14.0                 31.0 0.99680 3.50      0.67
## [1425,]                 8.0                 23.0 0.99740 3.26      0.70
## [1426,]                 8.0                 23.0 0.99740 3.26      0.70
## [1427,]                23.0                 60.0 0.99710 3.41      0.71
## [1428,]                 6.0                 23.0 0.99570 3.30      0.58
## [1429,]                27.0                 55.0 0.99620 3.31      0.63
## [1430,]                38.0                 67.0 0.99600 3.33      0.93
## [1431,]                18.0                 47.0 0.99560 3.37      0.62
## [1432,]                13.0                 74.0 0.99580 3.26      0.54
## [1433,]                 3.0                 11.0 0.99440 3.48      0.85
## [1434,]                11.0                 25.0 0.99550 3.42      0.74
## [1435,]                55.0                 95.0 1.00369 3.18      0.77
## [1436,]                55.0                 95.0 1.00369 3.18      0.77
## [1437,]                27.0                 90.0 0.99914 3.15      0.65
## [1438,]                15.0                 39.0 0.99577 3.53      0.54
## [1439,]                 3.0                  8.0 0.99600 3.41      0.47
## [1440,]                31.0                 92.0 0.99566 3.32      0.68
## [1441,]                15.0                 28.0 0.99470 3.23      0.73
## [1442,]                19.0                 98.0 0.99713 3.16      0.52
## [1443,]                18.0                 30.0 0.99712 3.40      0.75
## [1444,]                 8.0                 22.0 0.99322 3.38      0.49
## [1445,]                31.0                 92.0 0.99566 3.32      0.68
## [1446,]                19.0                 98.0 0.99713 3.16      0.52
## [1447,]                18.0                 30.0 0.99712 3.40      0.75
## [1448,]                22.0                 39.0 0.99701 3.40      0.74
## [1449,]                40.0                 54.0 0.99683 3.40      0.73
## [1450,]                15.0                 29.0 0.99472 3.23      0.76
## [1451,]                15.0                 28.0 0.99470 3.23      0.73
## [1452,]                 8.0                 17.0 0.99732 3.33      0.78
## [1453,]                37.0                 53.0 0.99374 3.35      0.76
## [1454,]                27.0                 85.0 0.99706 3.41      0.58
## [1455,]                 7.0                 23.0 0.99974 3.21      0.69
## [1456,]                 9.0                 17.0 0.99467 3.50      0.63
## [1457,]                38.0                 89.0 0.99236 3.30      0.50
## [1458,]                27.0                 85.0 0.99706 3.41      0.58
## [1459,]                 8.0                 20.0 0.99603 3.39      0.60
## [1460,]                 7.0                 15.0 0.99458 3.32      0.80
## [1461,]                34.0                 64.0 0.99724 3.41      0.68
## [1462,]                 6.0                 13.0 0.99664 3.59      0.61
## [1463,]                14.0                 31.0 0.99545 3.36      0.58
## [1464,]                14.0                 39.0 0.99522 3.34      0.53
## [1465,]                34.0                 53.0 0.99580 3.41      0.67
## [1466,]                34.0                 53.0 0.99580 3.41      0.67
## [1467,]                31.0                 54.0 0.99728 3.30      0.65
## [1468,]                19.0                 32.0 0.99648 3.52      0.57
## [1469,]                31.0                 54.0 0.99728 3.30      0.65
## [1470,]                20.0                 49.0 0.99705 3.31      0.55
## [1471,]                 8.0                 24.0 0.99578 2.88      0.47
## [1472,]                 8.0                 16.0 0.99334 3.43      0.52
## [1473,]                23.0                 44.0 0.99656 3.38      0.79
## [1474,]                14.0                 45.0 0.99336 3.38      0.54
## [1475,]                48.0                 82.0 1.00242 3.16      0.75
## [1476,]                16.0                 89.0 0.99182 3.54      0.88
## [1477,]                48.0                 82.0 1.00242 3.16      0.75
## [1478,]                16.0                 89.0 0.99182 3.54      0.88
## [1479,]                 3.0                 14.0 0.99808 3.40      0.52
## [1480,]                10.0                 22.0 0.99828 3.39      0.68
## [1481,]                 6.0                 13.0 0.99498 3.66      0.62
## [1482,]                10.0                 22.0 0.99828 3.39      0.68
## [1483,]                 3.0                  9.0 0.99719 3.33      0.57
## [1484,]                 6.0                 12.0 0.99542 3.35      0.61
## [1485,]                 4.0                 11.0 0.99592 3.53      0.64
## [1486,]                 8.0                 25.0 0.99606 3.37      0.55
## [1487,]                 9.0                 23.0 0.99546 3.38      0.60
## [1488,]                 9.0                 17.0 0.99496 3.52      0.78
## [1489,]                 5.0                 13.0 0.99420 3.72      0.58
## [1490,]                 4.0                 11.0 0.99448 3.44      0.76
## [1491,]                 8.0                 18.0 0.99344 3.39      0.56
## [1492,]                 5.0                 13.0 0.99420 3.72      0.58
## [1493,]                 6.0                 18.0 0.99348 3.57      0.54
## [1494,]                23.0                147.0 0.99636 3.26      0.59
## [1495,]                15.0                 28.0 0.99459 3.42      0.70
## [1496,]                15.0                 28.0 0.99492 3.35      0.81
## [1497,]                23.0                147.0 0.99636 3.26      0.59
## [1498,]                 7.0                 16.0 0.99508 3.45      0.63
## [1499,]                 7.0                 13.0 0.99582 3.53      0.58
## [1500,]                 7.0                 16.0 0.99508 3.45      0.63
## [1501,]                 8.0                 15.0 0.99508 3.26      0.53
## [1502,]                21.0                 64.0 0.99642 3.16      0.53
## [1503,]                15.0                 60.0 0.99638 3.31      0.54
## [1504,]                 6.0                 14.0 0.99555 3.51      0.69
## [1505,]                 5.0                 12.0 0.99605 3.36      0.55
## [1506,]                 6.0                 12.0 0.99600 3.55      0.63
## [1507,]                 6.0                 14.0 0.99562 3.51      0.66
## [1508,]                 5.0                 12.0 0.99605 3.36      0.55
## [1509,]                17.0                 25.0 0.99814 3.38      0.72
## [1510,]                 7.0                 20.0 0.99410 3.28      0.70
## [1511,]                26.0                 48.0 0.99661 3.47      0.77
## [1512,]                19.0                 27.0 0.99712 3.44      0.67
## [1513,]                11.0                 17.0 0.99588 3.53      0.65
## [1514,]                17.0                 65.0 0.99294 3.33      0.60
## [1515,]                16.0                 65.0 0.99842 3.53      0.72
## [1516,]                16.0                 65.0 0.99842 3.53      0.72
## [1517,]                23.0                 58.0 0.99633 3.42      0.97
## [1518,]                29.0                 44.0 0.99489 3.38      0.83
## [1519,]                 7.0                 20.0 0.99647 3.32      0.63
## [1520,]                14.0                 27.0 0.99665 3.44      0.58
## [1521,]                29.0                 44.0 0.99489 3.38      0.83
## [1522,]                 9.0                 23.0 0.99585 3.39      0.43
## [1523,]                23.0                 58.0 0.99633 3.42      0.97
## [1524,]                29.0                 61.0 0.99530 3.34      0.60
## [1525,]                22.0                 47.0 0.99522 3.39      0.78
## [1526,]                18.0                 34.0 0.99552 3.33      0.64
## [1527,]                18.0                 38.0 0.99553 3.30      0.65
## [1528,]                15.0                 24.0 0.99510 3.29      0.66
## [1529,]                21.0                 59.0 0.99714 3.31      0.67
## [1530,]                42.0                 52.0 0.99608 3.42      0.60
## [1531,]                 9.0                 18.0 0.99444 3.42      0.69
## [1532,]                13.0                 28.0 0.99631 3.60      0.66
## [1533,]                18.0                 22.0 0.99573 3.21      0.68
## [1534,]                32.0                 84.0 0.99717 3.39      0.61
## [1535,]                13.0                 29.0 0.99397 3.42      0.62
## [1536,]                15.0                 35.0 0.99590 3.36      0.59
## [1537,]                24.0                 45.0 0.99528 3.60      0.68
## [1538,]                20.0                 31.0 0.99484 3.50      0.64
## [1539,]                15.0                 26.0 0.99538 3.57      0.63
## [1540,]                34.0                 60.0 0.99714 3.46      0.78
## [1541,]                11.0                 32.0 0.99646 3.56      0.63
## [1542,]                19.0                 49.0 0.99666 3.40      0.76
## [1543,]                29.0                 38.0 0.99472 3.30      0.56
## [1544,]                14.0                 19.0 0.99758 3.25      0.57
## [1545,]                12.0                 19.0 0.99550 3.17      0.81
## [1546,]                16.0                 28.0 0.99531 3.36      0.64
## [1547,]                17.0                 26.0 0.99575 3.36      0.61
## [1548,]                12.0                 26.0 0.99306 3.55      0.51
## [1549,]                19.0                 50.0 0.99783 3.10      0.58
## [1550,]                17.0                 24.0 0.99419 3.24      0.70
## [1551,]                17.0                 26.0 0.99783 3.45      0.53
## [1552,]                18.0                 27.0 0.99768 3.44      0.54
## [1553,]                32.0                 54.0 0.99586 3.51      0.66
## [1554,]                18.0                 28.0 0.99765 3.41      0.60
## [1555,]                15.0                 23.0 0.99627 3.54      0.60
## [1556,]                15.0                 24.0 0.99514 3.44      0.68
## [1557,]                12.0                 20.0 0.99636 3.53      0.56
## [1558,]                15.0                 23.0 0.99627 3.54      0.60
## [1559,]                66.0                115.0 0.99787 3.22      0.56
## [1560,]                31.0                131.0 0.99622 3.21      0.52
## [1561,]                31.0                131.0 0.99622 3.21      0.52
## [1562,]                31.0                131.0 0.99622 3.21      0.52
## [1563,]                12.0                 20.0 0.99546 3.29      0.54
## [1564,]                12.0                 20.0 0.99546 3.29      0.54
## [1565,]                12.0                 20.0 0.99546 3.29      0.54
## [1566,]                26.0                 42.0 0.99489 3.39      0.82
## [1567,]                24.0                 52.0 0.99494 3.34      0.71
## [1568,]                12.0                 20.0 0.99546 3.29      0.54
## [1569,]                25.0                 42.0 0.99629 3.34      0.59
## [1570,]                15.0                 34.0 0.99396 3.48      0.57
## [1571,]                19.0                 35.0 0.99340 3.37      0.93
## [1572,]                15.0                 25.0 0.99514 3.44      0.65
## [1573,]                35.0                104.0 0.99632 3.33      0.51
## [1574,]                15.0                 50.0 0.99467 3.58      0.67
## [1575,]                23.0                 92.0 0.99677 3.39      0.48
## [1576,]                12.0                 20.0 0.99474 3.26      0.64
## [1577,]                16.0                 29.0 0.99588 3.30      0.78
## [1578,]                13.0                 27.0 0.99622 3.54      0.60
## [1579,]                13.0                 20.0 0.99540 3.42      0.67
## [1580,]                24.0                 32.0 0.99402 3.54      0.60
## [1581,]                 9.0                 26.0 0.99470 3.36      0.60
## [1582,]                24.0                 32.0 0.99402 3.54      0.60
## [1583,]                13.0                 27.0 0.99362 3.57      0.50
## [1584,]                32.0                 98.0 0.99578 3.33      0.62
## [1585,]                24.0                 34.0 0.99484 3.29      0.80
## [1586,]                22.0                 48.0 0.99494 3.30      0.84
## [1587,]                34.0                 60.0 0.99492 3.34      0.85
## [1588,]                18.0                 28.0 0.99483 3.55      0.66
## [1589,]                34.0                102.0 0.99414 3.27      0.78
## [1590,]                29.0                 79.0 0.99770 3.29      0.54
## [1591,]                26.0                 35.0 0.99314 3.32      0.82
## [1592,]                16.0                 26.0 0.99402 3.67      0.56
## [1593,]                29.0                 40.0 0.99574 3.42      0.75
## [1594,]                28.0                 38.0 0.99651 3.42      0.82
## [1595,]                32.0                 44.0 0.99490 3.45      0.58
## [1596,]                39.0                 51.0 0.99512 3.52      0.76
## [1597,]                29.0                 40.0 0.99574 3.42      0.75
## [1598,]                32.0                 44.0 0.99547 3.57      0.71
## [1599,]                18.0                 42.0 0.99549 3.39      0.66
##           alcohol quality
##    [1,]  9.400000       0
##    [2,]  9.800000       0
##    [3,]  9.800000       0
##    [4,]  9.800000       1
##    [5,]  9.400000       0
##    [6,]  9.400000       0
##    [7,]  9.400000       0
##    [8,] 10.000000       1
##    [9,]  9.500000       1
##   [10,] 10.500000       0
##   [11,]  9.200000       0
##   [12,] 10.500000       0
##   [13,]  9.900000       0
##   [14,]  9.100000       0
##   [15,]  9.200000       0
##   [16,]  9.200000       0
##   [17,] 10.500000       1
##   [18,]  9.300000       0
##   [19,]  9.000000       0
##   [20,]  9.200000       1
##   [21,]  9.400000       1
##   [22,]  9.700000       0
##   [23,]  9.500000       0
##   [24,]  9.400000       0
##   [25,]  9.700000       1
##   [26,]  9.300000       0
##   [27,]  9.500000       0
##   [28,]  9.500000       0
##   [29,]  9.400000       0
##   [30,]  9.800000       1
##   [31,] 10.100000       0
##   [32,] 10.600000       1
##   [33,]  9.800000       0
##   [34,]  9.400000       1
##   [35,]  9.200000       0
##   [36,]  9.600000       1
##   [37,] 10.800000       1
##   [38,]  9.700000       1
##   [39,]  9.800000       0
##   [40,] 10.500000       0
##   [41,] 10.500000       0
##   [42,]  9.300000       0
##   [43,] 10.500000       1
##   [44,] 10.300000       0
##   [45,]  9.500000       0
##   [46,] 13.100000       0
##   [47,]  9.200000       0
##   [48,]  9.500000       0
##   [49,]  9.200000       0
##   [50,]  9.200000       0
##   [51,]  9.200000       0
##   [52,]  9.400000       1
##   [53,]  9.400000       1
##   [54,]  9.400000       0
##   [55,] 10.200000       1
##   [56,]  9.500000       0
##   [57,]  9.600000       0
##   [58,]  9.400000       0
##   [59,] 10.000000       0
##   [60,]  9.400000       1
##   [61,]  9.200000       0
##   [62,]  9.300000       0
##   [63,]  9.500000       1
##   [64,]  9.800000       0
##   [65,] 10.900000       0
##   [66,] 10.900000       0
##   [67,]  9.600000       0
##   [68,] 10.700000       0
##   [69,] 10.700000       0
##   [70,] 10.500000       1
##   [71,]  9.500000       1
##   [72,]  9.500000       0
##   [73,]  9.500000       0
##   [74,]  9.200000       0
##   [75,]  9.600000       0
##   [76,] 10.500000       0
##   [77,] 10.500000       0
##   [78,] 10.700000       1
##   [79,] 10.100000       0
##   [80,]  9.100000       0
##   [81,]  9.200000       0
##   [82,]  9.400000       0
##   [83,]  9.100000       0
##   [84,]  9.400000       0
##   [85,] 10.300000       1
##   [86,] 10.100000       0
##   [87,]  9.900000       1
##   [88,]  9.600000       0
##   [89,]  9.500000       0
##   [90,]  9.000000       0
##   [91,]  9.500000       0
##   [92,]  9.900000       1
##   [93,]  9.800000       0
##   [94,]  9.600000       0
##   [95,] 10.500000       0
##   [96,] 12.900000       1
##   [97,] 10.700000       0
##   [98,]  9.200000       0
##   [99,]  9.800000       0
##  [100,]  9.000000       1
##  [101,] 10.200000       1
##  [102,] 10.400000       1
##  [103,]  9.000000       1
##  [104,]  9.200000       0
##  [105,]  9.400000       0
##  [106,]  9.200000       0
##  [107,]  9.300000       0
##  [108,]  9.300000       0
##  [109,]  9.600000       1
##  [110,]  9.300000       0
##  [111,]  9.500000       0
##  [112,]  9.800000       0
##  [113,]  9.800000       0
##  [114,]  9.700000       1
##  [115,]  9.500000       0
##  [116,] 10.500000       1
##  [117,] 10.000000       1
##  [118,]  9.400000       1
##  [119,] 10.900000       1
##  [120,]  9.200000       1
##  [121,]  9.000000       0
##  [122,] 10.900000       1
##  [123,]  9.200000       0
##  [124,]  9.500000       0
##  [125,]  9.500000       0
##  [126,]  9.400000       0
##  [127,] 10.900000       0
##  [128,] 10.900000       0
##  [129,] 10.500000       1
##  [130,]  9.400000       0
##  [131,]  9.400000       0
##  [132,] 13.000000       0
##  [133,] 13.000000       0
##  [134,]  9.800000       1
##  [135,]  9.900000       1
##  [136,]  9.600000       0
##  [137,]  9.500000       0
##  [138,]  9.200000       0
##  [139,]  9.500000       0
##  [140,]  9.500000       0
##  [141,]  9.600000       0
##  [142,]  9.500000       0
##  [143,] 14.000000       1
##  [144,]  9.400000       0
##  [145,] 14.000000       1
##  [146,]  9.400000       0
##  [147,] 10.000000       0
##  [148,]  9.300000       0
##  [149,] 10.200000       1
##  [150,] 10.500000       1
##  [151,] 10.300000       1
##  [152,]  9.400000       0
##  [153,] 10.100000       0
##  [154,] 10.100000       0
##  [155,] 10.500000       0
##  [156,] 10.500000       0
##  [157,] 10.500000       0
##  [158,] 10.500000       0
##  [159,]  9.300000       0
##  [160,]  9.300000       1
##  [161,]  9.600000       0
##  [162,]  9.200000       0
##  [163,] 10.000000       1
##  [164,]  9.400000       0
##  [165,]  9.400000       0
##  [166,]  9.500000       0
##  [167,] 10.200000       0
##  [168,]  9.000000       0
##  [169,] 10.400000       1
##  [170,]  9.500000       0
##  [171,]  9.100000       0
##  [172,]  9.200000       1
##  [173,]  9.200000       1
##  [174,] 11.500000       1
##  [175,]  9.500000       0
##  [176,]  9.500000       0
##  [177,]  9.500000       0
##  [178,] 10.500000       1
##  [179,]  9.600000       0
##  [180,]  9.500000       0
##  [181,]  9.500000       0
##  [182,]  9.300000       0
##  [183,]  9.300000       0
##  [184,]  9.300000       0
##  [185,]  9.300000       1
##  [186,]  9.700000       0
##  [187,]  9.200000       0
##  [188,]  9.700000       0
##  [189,]  9.500000       0
##  [190,]  9.500000       0
##  [191,]  9.400000       0
##  [192,]  9.800000       1
##  [193,]  9.500000       0
##  [194,]  9.700000       0
##  [195,]  9.700000       0
##  [196,]  9.400000       0
##  [197,] 10.200000       0
##  [198,] 10.100000       1
##  [199,] 13.000000       1
##  [200,] 11.400000       0
##  [201,] 10.300000       1
##  [202,]  9.300000       0
##  [203,]  9.500000       0
##  [204,]  9.200000       0
##  [205,]  9.200000       1
##  [206,] 10.800000       1
##  [207,] 10.800000       1
##  [208,]  9.300000       0
##  [209,]  9.400000       0
##  [210,] 10.500000       1
##  [211,] 12.400000       1
##  [212,] 10.000000       1
##  [213,] 10.200000       1
##  [214,] 10.100000       0
##  [215,]  9.800000       1
##  [216,] 10.500000       0
##  [217,] 11.000000       0
##  [218,]  9.100000       0
##  [219,]  9.700000       0
##  [220,]  9.500000       0
##  [221,]  9.400000       1
##  [222,]  9.400000       0
##  [223,]  9.500000       0
##  [224,] 10.000000       1
##  [225,] 10.400000       0
##  [226,] 10.500000       1
##  [227,]  9.500000       1
##  [228,]  9.800000       0
##  [229,] 10.500000       1
##  [230,] 11.000000       0
##  [231,] 12.200000       1
##  [232,]  9.900000       1
##  [233,]  9.600000       1
##  [234,] 11.000000       0
##  [235,]  9.000000       1
##  [236,]  9.000000       1
##  [237,]  9.000000       1
##  [238,]  9.200000       1
##  [239,]  9.000000       1
##  [240,]  9.000000       1
##  [241,]  9.300000       0
##  [242,] 10.900000       1
##  [243,]  9.800000       1
##  [244,]  9.200000       1
##  [245,]  9.200000       1
##  [246,]  9.900000       1
##  [247,]  9.500000       0
##  [248,]  9.300000       0
##  [249,]  9.800000       1
##  [250,]  9.900000       1
##  [251,] 10.000000       1
##  [252,]  9.900000       1
##  [253,] 10.500000       0
##  [254,]  9.500000       0
##  [255,]  9.900000       1
##  [256,]  9.300000       0
##  [257,]  9.200000       0
##  [258,]  9.200000       0
##  [259,]  9.400000       0
##  [260,] 10.500000       1
##  [261,]  9.300000       0
##  [262,]  9.400000       0
##  [263,] 10.000000       0
##  [264,]  9.300000       0
##  [265,] 10.900000       0
##  [266,] 10.200000       1
##  [267,]  9.800000       0
##  [268,] 12.800000       1
##  [269,]  9.400000       1
##  [270,] 10.100000       1
##  [271,] 10.700000       1
##  [272,] 10.100000       1
##  [273,] 10.100000       0
##  [274,]  9.400000       0
##  [275,]  9.400000       0
##  [276,] 10.700000       1
##  [277,]  9.400000       1
##  [278,] 10.100000       1
##  [279,] 12.600000       1
##  [280,] 10.500000       1
##  [281,]  9.300000       1
##  [282,]  9.900000       1
##  [283,]  9.100000       0
##  [284,] 10.500000       1
##  [285,]  9.800000       0
##  [286,]  9.800000       0
##  [287,] 10.300000       1
##  [288,] 10.300000       1
##  [289,] 10.600000       1
##  [290,]  9.200000       0
##  [291,] 10.600000       1
##  [292,] 10.500000       0
##  [293,] 10.300000       1
##  [294,] 10.100000       1
##  [295,]  9.500000       1
##  [296,]  9.500000       0
##  [297,]  9.900000       0
##  [298,]  9.600000       0
##  [299,]  9.700000       0
##  [300,]  9.600000       0
##  [301,] 10.700000       1
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##  [310,]  9.500000       1
##  [311,]  9.300000       1
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##  [324,]  9.500000       1
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##  [329,]  9.700000       1
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##  [331,] 12.500000       1
##  [332,] 12.500000       1
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##  [334,] 11.000000       0
##  [335,] 11.700000       1
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##  [342,] 11.300000       1
##  [343,]  9.800000       1
##  [344,]  9.800000       1
##  [345,] 10.700000       1
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##  [347,] 12.300000       1
##  [348,] 12.000000       1
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##  [350,]  9.400000       1
##  [351,]  9.900000       1
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##  [353,]  9.300000       0
##  [354,] 13.000000       0
##  [355,] 11.900000       1
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##  [358,] 11.700000       1
##  [359,] 10.400000       1
##  [360,]  9.800000       1
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##  [362,]  9.900000       1
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##  [382,] 10.000000       1
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##  [386,]  9.700000       1
##  [387,]  9.200000       1
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##  [390,] 10.000000       1
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##  [392,] 10.000000       1
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##  [416,]  9.300000       0
##  [417,] 11.700000       1
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##  [421,] 11.800000       1
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##  [426,] 12.300000       1
##  [427,] 11.400000       1
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##  [433,] 12.800000       1
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##  [435,]  9.900000       1
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##  [437,] 10.200000       1
##  [438,] 11.200000       1
##  [439,]  9.900000       1
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##  [441,]  9.800000       1
##  [442,] 11.300000       1
##  [443,] 11.200000       1
##  [444,] 11.600000       1
##  [445,] 12.500000       1
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##  [449,] 10.200000       1
##  [450,] 10.800000       1
##  [451,] 10.800000       1
##  [452,]  9.100000       1
##  [453,] 10.000000       1
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##  [455,] 11.100000       0
##  [456,] 13.400000       1
##  [457,] 10.300000       0
##  [458,]  9.600000       0
##  [459,] 11.200000       1
##  [460,]  9.000000       0
##  [461,] 11.300000       1
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##  [463,] 11.800000       0
##  [464,]  9.000000       0
##  [465,]  9.200000       1
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##  [467,] 11.500000       1
##  [468,] 14.000000       1
##  [469,]  9.200000       1
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##  [471,] 10.600000       0
##  [472,] 11.400000       1
##  [473,] 10.400000       1
##  [474,] 10.600000       0
##  [475,]  9.400000       1
##  [476,] 10.200000       0
##  [477,]  9.700000       0
##  [478,] 11.000000       1
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##  [480,] 10.100000       1
##  [481,]  9.200000       0
##  [482,] 11.700000       1
##  [483,]  9.400000       0
##  [484,]  9.400000       0
##  [485,] 13.400000       1
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##  [487,] 10.000000       0
##  [488,] 10.000000       1
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##  [490,] 10.200000       1
##  [491,] 10.600000       1
##  [492,] 13.300000       1
##  [493,] 13.400000       1
##  [494,] 11.600000       1
##  [495,] 12.100000       1
##  [496,] 11.000000       1
##  [497,]  9.000000       1
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##  [499,] 11.000000       1
##  [500,] 11.600000       1
##  [501,]  9.000000       1
##  [502,] 12.000000       1
##  [503,] 12.000000       1
##  [504,] 10.900000       1
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##  [506,] 12.500000       1
##  [507,] 10.800000       1
##  [508,]  9.500000       1
##  [509,] 10.200000       1
##  [510,] 11.400000       1
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##  [512,] 10.200000       1
##  [513,]  9.700000       1
##  [514,] 11.800000       1
##  [515,] 11.800000       1
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##  [517,] 11.900000       1
##  [518,]  8.400000       0
##  [519,] 11.700000       1
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##  [523,]  9.800000       0
##  [524,]  9.400000       0
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##  [526,]  9.900000       0
##  [527,] 11.000000       0
##  [528,] 11.400000       1
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##  [531,] 10.300000       1
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##  [534,] 12.800000       1
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##  [539,] 12.000000       1
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##  [542,] 11.000000       1
##  [543,]  9.900000       0
##  [544,] 11.000000       1
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##  [547,]  9.500000       1
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##  [550,]  9.400000       1
##  [551,]  9.500000       1
##  [552,] 10.000000       1
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##  [555,] 11.100000       0
##  [556,] 11.100000       0
##  [557,] 11.700000       1
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##  [559,] 11.700000       1
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##  [564,] 10.100000       1
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##  [567,]  9.000000       1
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##  [571,] 11.000000       1
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##  [584,]  9.900000       1
##  [585,] 10.700000       1
##  [586,]  9.600000       1
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##  [589,] 14.000000       1
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##  [594,]  9.000000       0
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##  [597,]  9.300000       1
##  [598,] 10.000000       1
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##  [600,]  9.300000       1
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##  [604,]  9.000000       1
##  [605,]  9.100000       1
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##  [607,] 12.200000       1
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##  [639,] 10.200000       1
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##  [642,]  9.500000       0
##  [643,]  9.400000       0
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##  [645,]  9.400000       0
##  [646,] 10.100000       1
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##  [648,] 11.000000       0
##  [649,] 11.200000       1
##  [650,] 11.300000       1
##  [651,]  9.600000       0
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##  [653,] 14.900000       0
##  [654,] 12.000000       1
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##  [657,]  9.600000       0
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##  [659,]  9.600000       1
##  [660,] 11.000000       0
##  [661,]  9.600000       1
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##  [663,]  9.600000       1
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##  [666,]  9.700000       0
##  [667,]  9.500000       1
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##  [669,] 11.000000       0
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##  [671,] 10.000000       0
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##  [675,]  9.300000       1
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##  [677,]  9.300000       1
##  [678,]  9.900000       0
##  [679,] 10.000000       0
##  [680,]  9.600000       0
##  [681,]  9.000000       0
##  [682,] 10.200000       1
##  [683,]  9.800000       0
##  [684,] 11.300000       0
##  [685,]  9.400000       0
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##  [687,]  9.100000       0
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##  [691,] 10.700000       0
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##  [696,] 12.800000       1
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##  [699,]  9.700000       0
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##  [701,] 10.100000       1
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##  [711,] 10.100000       0
##  [712,]  9.500000       0
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##  [715,]  9.800000       0
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##  [718,] 10.000000       0
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##  [722,]  9.200000       0
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##  [727,] 11.100000       1
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##  [735,]  9.300000       0
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##  [740,]  9.300000       0
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##  [744,] 10.000000       0
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##  [750,]  9.500000       1
##  [751,]  9.500000       0
##  [752,]  9.500000       0
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##  [754,]  9.500000       0
##  [755,]  9.100000       1
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##  [761,]  9.700000       0
##  [762,]  9.600000       0
##  [763,] 10.000000       1
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##  [765,]  9.500000       1
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##  [771,]  9.700000       1
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##  [774,]  9.500000       1
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##  [783,] 10.000000       0
##  [784,]  9.800000       0
##  [785,]  9.800000       0
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##  [787,]  9.500000       0
##  [788,] 10.100000       1
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##  [790,]  9.300000       0
##  [791,]  9.700000       1
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##  [793,]  9.700000       1
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##  [797,]  9.600000       0
##  [798,] 10.800000       1
##  [799,] 10.700000       1
##  [800,] 10.700000       1
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##  [803,] 12.900000       1
##  [804,]  9.600000       1
##  [805,]  9.900000       1
##  [806,] 12.800000       1
##  [807,] 12.500000       1
##  [808,] 12.800000       1
##  [809,]  9.200000       0
##  [810,] 10.300000       1
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##  [812,] 10.900000       1
##  [813,] 10.800000       0
##  [814,] 11.400000       0
##  [815,] 11.300000       1
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##  [817,] 10.500000       1
##  [818,] 11.900000       1
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##  [821,]  9.700000       0
##  [822,] 14.000000       1
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##  [825,] 10.300000       0
##  [826,] 10.700000       0
##  [827,] 11.000000       1
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##  [829,] 12.700000       1
##  [830,] 11.100000       1
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##  [833,]  9.900000       0
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##  [836,]  9.300000       0
##  [837,] 11.700000       1
##  [838,] 11.700000       1
##  [839,] 11.200000       1
##  [840,] 10.000000       0
##  [841,] 12.100000       1
##  [842,] 10.300000       0
##  [843,] 10.900000       1
##  [844,]  9.400000       0
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##  [846,]  9.800000       0
##  [847,]  9.800000       0
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##  [850,]  9.800000       0
##  [851,]  9.500000       0
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##  [853,]  9.700000       0
##  [854,] 10.900000       1
##  [855,] 10.900000       1
##  [856,] 11.700000       1
##  [857,] 10.900000       1
##  [858,] 11.300000       1
##  [859,] 10.600000       1
##  [860,] 11.200000       1
##  [861,]  9.500000       0
##  [862,] 11.500000       1
##  [863,] 10.400000       0
##  [864,]  9.700000       0
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##  [866,]  9.700000       0
##  [867,] 11.300000       1
##  [868,] 11.200000       1
##  [869,] 11.200000       1
##  [870,] 10.900000       1
##  [871,] 11.800000       1
##  [872,] 10.600000       0
##  [873,] 10.000000       0
##  [874,] 11.100000       1
##  [875,] 11.800000       1
##  [876,] 11.800000       1
##  [877,] 10.900000       0
##  [878,] 11.800000       1
##  [879,] 10.000000       1
##  [880,]  9.500000       0
##  [881,]  9.900000       0
##  [882,] 11.400000       1
##  [883,] 12.000000       1
##  [884,]  9.500000       0
##  [885,] 10.000000       1
##  [886,] 10.500000       0
##  [887,] 10.400000       1
##  [888,] 12.100000       1
##  [889,] 11.200000       1
##  [890,]  9.300000       0
##  [891,] 10.100000       0
##  [892,]  9.700000       0
##  [893,]  9.300000       1
##  [894,]  9.700000       0
##  [895,]  9.800000       1
##  [896,] 10.700000       1
##  [897,] 12.500000       1
##  [898,] 10.700000       1
##  [899,] 12.500000       1
##  [900,] 11.000000       0
##  [901,] 11.800000       0
##  [902,] 10.800000       1
##  [903,] 10.800000       1
##  [904,] 10.800000       1
##  [905,] 10.800000       1
##  [906,]  9.500000       0
##  [907,] 11.000000       0
##  [908,] 11.500000       1
##  [909,] 10.800000       1
##  [910,] 11.500000       1
##  [911,] 13.200000       1
##  [912,] 10.900000       1
##  [913,] 12.200000       1
##  [914,] 12.200000       1
##  [915,] 11.500000       1
##  [916,] 11.900000       1
##  [917,] 11.000000       0
##  [918,] 10.100000       1
##  [919,] 11.000000       1
##  [920,] 11.800000       1
##  [921,] 10.500000       0
##  [922,] 11.000000       1
##  [923,] 11.800000       1
##  [924,] 10.100000       1
##  [925,] 11.200000       0
##  [926,] 11.000000       1
##  [927,] 10.200000       1
##  [928,]  9.200000       0
##  [929,] 11.200000       0
##  [930,] 12.000000       1
##  [931,] 10.500000       0
##  [932,]  9.800000       0
##  [933,]  9.500000       1
##  [934,]  9.800000       0
##  [935,] 10.500000       0
##  [936,] 11.800000       1
##  [937,] 11.800000       1
##  [938,] 10.400000       0
##  [939,] 12.900000       1
##  [940,] 11.400000       0
##  [941,] 12.400000       1
##  [942,] 12.500000       1
##  [943,] 10.000000       1
##  [944,]  9.700000       1
##  [945,] 12.100000       1
##  [946,] 11.100000       1
##  [947,] 12.000000       1
##  [948,] 12.400000       1
##  [949,] 11.900000       1
##  [950,] 11.900000       1
##  [951,] 11.900000       1
##  [952,] 12.400000       1
##  [953,] 11.200000       1
##  [954,] 12.100000       1
##  [955,] 12.200000       1
##  [956,] 10.400000       0
##  [957,] 11.300000       1
##  [958,] 11.100000       1
##  [959,] 11.300000       1
##  [960,] 10.000000       0
##  [961,] 11.100000       1
##  [962,]  9.300000       0
##  [963,]  9.500000       0
##  [964,] 11.200000       1
##  [965,] 11.100000       1
##  [966,] 11.000000       1
##  [967,] 11.900000       1
##  [968,]  9.200000       0
##  [969,] 12.200000       1
##  [970,] 10.200000       0
##  [971,] 10.900000       1
##  [972,] 10.900000       1
##  [973,] 11.600000       1
##  [974,] 10.700000       0
##  [975,] 12.100000       1
##  [976,]  9.400000       0
##  [977,]  9.400000       0
##  [978,]  9.100000       0
##  [979,] 11.300000       1
##  [980,] 10.400000       0
##  [981,] 10.500000       1
##  [982,] 10.000000       0
##  [983,] 12.900000       1
##  [984,] 10.500000       1
##  [985,] 10.400000       0
##  [986,] 11.300000       1
##  [987,] 11.400000       1
##  [988,]  9.400000       0
##  [989,]  9.400000       0
##  [990,] 10.900000       1
##  [991,]  9.400000       0
##  [992,]  9.400000       0
##  [993,]  9.400000       1
##  [994,]  9.400000       0
##  [995,]  9.400000       0
##  [996,] 10.100000       1
##  [997,] 12.800000       1
##  [998,] 12.800000       1
##  [999,]  9.100000       1
## [1000,] 12.900000       1
## [1001,] 11.500000       1
## [1002,] 10.600000       1
## [1003,] 11.700000       1
## [1004,] 12.800000       1
## [1005,] 10.300000       0
## [1006,] 12.800000       1
## [1007,] 11.700000       1
## [1008,] 11.700000       1
## [1009,] 12.000000       1
## [1010,] 10.900000       0
## [1011,] 12.300000       1
## [1012,] 10.400000       1
## [1013,] 10.000000       0
## [1014,] 10.000000       1
## [1015,] 11.200000       1
## [1016,] 11.400000       1
## [1017,] 12.600000       1
## [1018,] 12.700000       1
## [1019,] 12.700000       1
## [1020,] 10.400000       0
## [1021,] 11.900000       1
## [1022,] 11.900000       1
## [1023,] 10.500000       0
## [1024,] 12.300000       1
## [1025,] 10.500000       1
## [1026,] 10.400000       1
## [1027,] 12.600000       1
## [1028,] 11.600000       0
## [1029,] 10.100000       1
## [1030,] 10.500000       1
## [1031,] 11.500000       1
## [1032,] 11.000000       1
## [1033,]  9.600000       0
## [1034,] 10.400000       1
## [1035,]  9.700000       1
## [1036,] 10.600000       1
## [1037,] 12.500000       1
## [1038,]  9.200000       0
## [1039,] 12.600000       1
## [1040,] 11.100000       1
## [1041,] 10.200000       0
## [1042,]  9.800000       1
## [1043,] 11.100000       1
## [1044,] 10.900000       1
## [1045,] 12.200000       1
## [1046,] 11.400000       1
## [1047,] 10.700000       1
## [1048,] 10.400000       0
## [1049,] 10.900000       1
## [1050,] 10.800000       1
## [1051,] 10.400000       0
## [1052,]  9.200000       0
## [1053,] 12.900000       0
## [1054,] 12.700000       1
## [1055,]  9.100000       1
## [1056,]  9.100000       1
## [1057,] 12.100000       1
## [1058,]  9.100000       0
## [1059,] 11.600000       1
## [1060,] 12.100000       1
## [1061,]  9.900000       1
## [1062,] 12.500000       1
## [1063,] 11.400000       1
## [1064,] 11.800000       1
## [1065,] 11.800000       1
## [1066,] 10.200000       1
## [1067,] 12.500000       1
## [1068,] 10.900000       1
## [1069,] 10.900000       1
## [1070,] 10.800000       0
## [1071,] 11.100000       1
## [1072,]  9.200000       0
## [1073,]  9.500000       1
## [1074,] 10.700000       1
## [1075,]  9.200000       0
## [1076,] 10.200000       1
## [1077,] 11.400000       1
## [1078,] 11.000000       0
## [1079,] 11.000000       0
## [1080,] 12.300000       1
## [1081,] 11.800000       1
## [1082,] 12.300000       1
## [1083,]  9.500000       1
## [1084,] 12.000000       1
## [1085,]  9.500000       1
## [1086,]  9.600000       0
## [1087,] 11.600000       1
## [1088,] 11.200000       1
## [1089,]  9.900000       1
## [1090,]  9.900000       1
## [1091,] 11.800000       1
## [1092,] 11.400000       1
## [1093,] 11.500000       1
## [1094,] 12.000000       1
## [1095,] 10.800000       1
## [1096,] 10.500000       0
## [1097,] 10.800000       1
## [1098,]  9.400000       0
## [1099,] 12.500000       1
## [1100,]  9.400000       0
## [1101,] 12.400000       1
## [1102,] 12.000000       1
## [1103,] 11.200000       1
## [1104,] 12.000000       1
## [1105,] 12.400000       1
## [1106,] 12.800000       0
## [1107,] 12.300000       1
## [1108,] 11.700000       1
## [1109,]  9.500000       0
## [1110,] 10.800000       1
## [1111,] 10.000000       1
## [1112,] 12.300000       1
## [1113,] 11.000000       1
## [1114,]  9.500000       1
## [1115,] 13.600000       1
## [1116,] 11.300000       1
## [1117,] 11.300000       1
## [1118,] 11.300000       1
## [1119,] 13.300000       1
## [1120,] 12.900000       0
## [1121,] 13.100000       1
## [1122,] 12.300000       1
## [1123,] 12.300000       1
## [1124,] 11.200000       1
## [1125,] 11.500000       0
## [1126,] 11.300000       1
## [1127,] 13.500000       1
## [1128,] 11.500000       1
## [1129,] 10.000000       0
## [1130,] 10.500000       1
## [1131,] 10.400000       1
## [1132,]  9.500000       0
## [1133,] 13.600000       1
## [1134,] 11.200000       1
## [1135,] 11.800000       1
## [1136,] 11.900000       1
## [1137,] 11.400000       1
## [1138,] 11.400000       1
## [1139,]  9.100000       0
## [1140,]  9.500000       1
## [1141,]  9.500000       1
## [1142,] 11.000000       1
## [1143,] 11.400000       1
## [1144,] 10.000000       1
## [1145,] 10.100000       0
## [1146,] 10.400000       1
## [1147,]  9.800000       1
## [1148,] 11.800000       1
## [1149,] 11.600000       1
## [1150,] 12.000000       1
## [1151,] 12.800000       1
## [1152,] 12.500000       1
## [1153,]  9.800000       0
## [1154,] 11.100000       1
## [1155,] 11.400000       1
## [1156,]  9.800000       0
## [1157,] 11.800000       1
## [1158,] 12.900000       1
## [1159,] 10.600000       1
## [1160,] 10.800000       0
## [1161,] 11.100000       1
## [1162,] 10.200000       1
## [1163,] 11.800000       1
## [1164,] 10.000000       0
## [1165,] 10.000000       0
## [1166,]  9.400000       0
## [1167,] 10.200000       0
## [1168,] 12.400000       1
## [1169,] 12.000000       1
## [1170,] 11.500000       1
## [1171,] 10.500000       1
## [1172,] 10.800000       1
## [1173,] 12.300000       1
## [1174,]  9.500000       1
## [1175,]  9.500000       1
## [1176,] 11.500000       1
## [1177,] 11.200000       0
## [1178,] 12.700000       1
## [1179,] 11.400000       0
## [1180,] 11.000000       1
## [1181,] 11.000000       1
## [1182,] 11.400000       0
## [1183,] 10.500000       1
## [1184,]  9.300000       0
## [1185,] 10.900000       0
## [1186,] 11.900000       1
## [1187,] 12.200000       0
## [1188,] 11.900000       1
## [1189,] 10.900000       0
## [1190,]  9.600000       0
## [1191,] 12.500000       1
## [1192,] 10.800000       0
## [1193,] 12.400000       1
## [1194,] 10.800000       0
## [1195,]  9.500000       1
## [1196,]  9.500000       1
## [1197,]  9.500000       1
## [1198,]  9.800000       1
## [1199,] 10.900000       1
## [1200,]  9.500000       1
## [1201,]  9.800000       1
## [1202,] 11.200000       1
## [1203,] 11.700000       1
## [1204,]  9.400000       0
## [1205,] 11.000000       1
## [1206,] 11.000000       1
## [1207,] 11.000000       1
## [1208,] 10.000000       0
## [1209,] 11.000000       1
## [1210,] 11.200000       1
## [1211,] 10.400000       1
## [1212,]  9.300000       0
## [1213,] 10.400000       1
## [1214,] 10.500000       1
## [1215,] 10.400000       1
## [1216,] 11.300000       1
## [1217,]  9.500000       1
## [1218,] 12.000000       1
## [1219,] 10.600000       1
## [1220,] 10.900000       1
## [1221,] 11.500000       1
## [1222,] 11.500000       1
## [1223,]  9.600000       1
## [1224,] 12.000000       1
## [1225,] 10.300000       1
## [1226,]  9.400000       0
## [1227,]  9.200000       0
## [1228,]  9.600000       0
## [1229,] 13.600000       1
## [1230,]  9.500000       0
## [1231,] 11.800000       1
## [1232,] 10.800000       0
## [1233,]  9.500000       0
## [1234,]  9.300000       0
## [1235,] 12.800000       1
## [1236,] 11.500000       0
## [1237,]  9.400000       1
## [1238,] 12.800000       1
## [1239,]  9.600000       0
## [1240,] 11.800000       0
## [1241,]  9.300000       0
## [1242,]  9.800000       0
## [1243,] 12.200000       1
## [1244,]  9.500000       0
## [1245,] 10.300000       1
## [1246,] 10.500000       0
## [1247,] 10.000000       0
## [1248,] 10.500000       0
## [1249,] 11.100000       1
## [1250,] 10.900000       1
## [1251,] 10.900000       1
## [1252,]  9.800000       0
## [1253,]  9.800000       0
## [1254,]  9.500000       0
## [1255,] 10.900000       0
## [1256,] 11.000000       0
## [1257,]  9.200000       0
## [1258,] 11.000000       1
## [1259,] 11.300000       1
## [1260,] 11.300000       1
## [1261,]  9.300000       0
## [1262,] 11.200000       0
## [1263,]  9.800000       0
## [1264,]  9.600000       0
## [1265,] 11.800000       1
## [1266,] 10.300000       1
## [1267,] 10.300000       1
## [1268,] 11.400000       1
## [1269,]  9.500000       1
## [1270,] 14.000000       1
## [1271,] 14.000000       1
## [1272,] 11.700000       1
## [1273,] 11.200000       0
## [1274,]  9.300000       0
## [1275,] 11.200000       1
## [1276,]  9.500000       1
## [1277,] 12.000000       0
## [1278,]  9.700000       1
## [1279,]  9.500000       1
## [1280,] 11.500000       1
## [1281,] 10.400000       1
## [1282,] 10.400000       1
## [1283,] 10.900000       1
## [1284,] 10.200000       1
## [1285,] 10.900000       0
## [1286,] 10.500000       0
## [1287,] 12.400000       1
## [1288,] 13.000000       0
## [1289,] 10.200000       0
## [1290,] 10.200000       0
## [1291,] 11.000000       0
## [1292,] 10.900000       1
## [1293,] 12.400000       1
## [1294,]  9.700000       0
## [1295,] 10.900000       1
## [1296,]  9.500000       0
## [1297,]  9.500000       0
## [1298,] 12.100000       1
## [1299,] 12.200000       1
## [1300,] 10.900000       0
## [1301,] 12.500000       1
## [1302,] 11.700000       1
## [1303,] 11.200000       1
## [1304,] 11.200000       0
## [1305,]  9.200000       0
## [1306,]  9.800000       0
## [1307,] 10.100000       0
## [1308,] 11.100000       0
## [1309,] 10.100000       0
## [1310,]  9.200000       0
## [1311,]  9.800000       0
## [1312,] 12.800000       1
## [1313,] 10.500000       0
## [1314,] 10.100000       1
## [1315,] 10.100000       1
## [1316,]  9.800000       1
## [1317,] 12.500000       1
## [1318,] 11.900000       1
## [1319,]  9.800000       1
## [1320,]  9.100000       1
## [1321,] 10.100000       0
## [1322,] 12.500000       1
## [1323,] 11.400000       0
## [1324,] 11.000000       1
## [1325,] 10.600000       1
## [1326,] 10.600000       1
## [1327,] 10.600000       1
## [1328,] 10.600000       1
## [1329,]  9.300000       0
## [1330,]  9.800000       1
## [1331,]  9.800000       1
## [1332,]  9.200000       0
## [1333,]  9.700000       1
## [1334,]  9.600000       0
## [1335,] 10.000000       0
## [1336,] 12.600000       1
## [1337,]  9.500000       0
## [1338,]  9.500000       0
## [1339,]  9.500000       0
## [1340,] 10.500000       1
## [1341,] 10.500000       1
## [1342,] 10.500000       1
## [1343,] 10.400000       1
## [1344,] 10.500000       1
## [1345,] 11.000000       0
## [1346,] 10.200000       1
## [1347,] 11.400000       0
## [1348,]  9.500000       0
## [1349,]  9.500000       0
## [1350,] 10.800000       0
## [1351,] 10.000000       0
## [1352,] 11.800000       1
## [1353,] 10.300000       0
## [1354,] 10.300000       0
## [1355,] 10.000000       0
## [1356,] 10.100000       0
## [1357,] 10.100000       0
## [1358,] 11.100000       1
## [1359,]  9.500000       0
## [1360,] 10.033333       1
## [1361,] 10.900000       0
## [1362,] 10.100000       0
## [1363,] 10.033333       1
## [1364,]  9.800000       0
## [1365,] 11.800000       1
## [1366,]  9.500000       0
## [1367,]  9.800000       0
## [1368,] 10.500000       1
## [1369,]  9.800000       1
## [1370,] 10.400000       0
## [1371,]  9.200000       0
## [1372,] 11.600000       1
## [1373,]  9.200000       0
## [1374,]  9.300000       0
## [1375,]  9.800000       0
## [1376,]  9.900000       0
## [1377,] 10.000000       0
## [1378,] 12.200000       1
## [1379,]  9.900000       1
## [1380,] 10.800000       1
## [1381,] 10.800000       1
## [1382,]  9.600000       0
## [1383,]  9.900000       0
## [1384,]  9.900000       0
## [1385,]  9.500000       0
## [1386,]  9.200000       0
## [1387,]  9.600000       0
## [1388,]  9.600000       0
## [1389,] 10.300000       0
## [1390,]  9.700000       0
## [1391,] 12.500000       1
## [1392,] 11.000000       0
## [1393,]  9.800000       0
## [1394,] 10.200000       0
## [1395,]  9.200000       0
## [1396,]  9.550000       1
## [1397,]  9.550000       0
## [1398,]  9.900000       0
## [1399,] 10.200000       1
## [1400,] 11.100000       1
## [1401,]  9.900000       0
## [1402,]  9.900000       0
## [1403,] 11.900000       1
## [1404,] 10.000000       1
## [1405,] 10.700000       1
## [1406,] 11.300000       1
## [1407,] 10.900000       1
## [1408,] 10.700000       1
## [1409,] 12.400000       1
## [1410,] 10.700000       1
## [1411,] 11.900000       1
## [1412,] 10.600000       1
## [1413,] 10.900000       1
## [1414,] 10.100000       0
## [1415,]  9.600000       0
## [1416,]  9.400000       0
## [1417,]  9.600000       0
## [1418,] 12.100000       1
## [1419,]  9.800000       0
## [1420,]  9.900000       0
## [1421,]  9.800000       0
## [1422,]  9.400000       0
## [1423,] 11.400000       1
## [1424,] 11.000000       0
## [1425,]  9.600000       1
## [1426,]  9.600000       1
## [1427,] 12.100000       1
## [1428,] 11.200000       0
## [1429,] 11.000000       0
## [1430,] 11.300000       0
## [1431,] 10.400000       0
## [1432,]  9.900000       1
## [1433,] 11.700000       1
## [1434,] 10.100000       1
## [1435,]  9.000000       1
## [1436,]  9.000000       1
## [1437,]  8.500000       0
## [1438,] 11.100000       0
## [1439,] 10.300000       0
## [1440,] 11.066667       1
## [1441,] 11.300000       1
## [1442,]  9.566667       1
## [1443,]  9.800000       0
## [1444,] 11.700000       0
## [1445,] 11.100000       1
## [1446,]  9.600000       1
## [1447,]  9.800000       0
## [1448,]  9.700000       0
## [1449,]  9.700000       0
## [1450,] 11.300000       1
## [1451,] 11.300000       1
## [1452,] 11.000000       1
## [1453,] 11.600000       1
## [1454,]  9.000000       0
## [1455,] 10.900000       1
## [1456,] 10.900000       1
## [1457,] 10.550000       1
## [1458,]  9.000000       0
## [1459,] 10.500000       0
## [1460,] 11.900000       1
## [1461,] 10.400000       1
## [1462,] 10.000000       0
## [1463,] 10.400000       1
## [1464,] 10.800000       1
## [1465,]  9.700000       0
## [1466,]  9.700000       0
## [1467,] 10.000000       1
## [1468,] 11.000000       0
## [1469,] 10.000000       1
## [1470,]  9.700000       0
## [1471,]  9.700000       0
## [1472,] 12.600000       0
## [1473,] 11.100000       1
## [1474,] 11.000000       0
## [1475,]  8.800000       0
## [1476,] 13.566667       1
## [1477,]  8.800000       0
## [1478,] 13.600000       1
## [1479,] 10.200000       0
## [1480,] 10.600000       0
## [1481,] 10.100000       0
## [1482,] 10.600000       0
## [1483,] 10.300000       0
## [1484,] 10.700000       0
## [1485,] 10.900000       0
## [1486,]  9.700000       0
## [1487,] 10.300000       0
## [1488,] 10.600000       0
## [1489,] 11.400000       0
## [1490,] 10.800000       1
## [1491,] 12.400000       1
## [1492,] 11.400000       0
## [1493,] 11.950000       0
## [1494,]  9.700000       0
## [1495,] 10.000000       1
## [1496,] 10.600000       1
## [1497,]  9.700000       0
## [1498,] 11.500000       1
## [1499,] 10.800000       1
## [1500,] 11.500000       1
## [1501,]  9.600000       0
## [1502,]  9.400000       0
## [1503,]  9.800000       0
## [1504,] 11.000000       1
## [1505,] 11.400000       1
## [1506,]  9.950000       0
## [1507,] 10.800000       1
## [1508,] 11.400000       1
## [1509,] 10.600000       1
## [1510,] 11.100000       0
## [1511,]  9.700000       1
## [1512,]  9.800000       0
## [1513,] 10.400000       1
## [1514,] 10.500000       1
## [1515,]  9.233333       1
## [1516,]  9.250000       1
## [1517,] 10.600000       0
## [1518,] 10.300000       1
## [1519,] 10.500000       0
## [1520,] 10.200000       0
## [1521,] 10.300000       1
## [1522,]  9.050000       0
## [1523,] 10.600000       0
## [1524,] 10.400000       0
## [1525,] 10.000000       1
## [1526,]  9.700000       0
## [1527,]  9.600000       1
## [1528,] 10.800000       1
## [1529,] 10.100000       1
## [1530,] 10.200000       1
## [1531,] 11.300000       1
## [1532,] 10.200000       0
## [1533,]  9.900000       1
## [1534,]  9.000000       0
## [1535,] 11.700000       1
## [1536,]  9.700000       1
## [1537,] 10.300000       1
## [1538,] 10.200000       1
## [1539,] 12.000000       0
## [1540,]  9.900000       0
## [1541,] 11.600000       1
## [1542,] 10.900000       1
## [1543,] 10.750000       1
## [1544,] 10.400000       1
## [1545,] 11.200000       1
## [1546,] 10.100000       1
## [1547,] 10.200000       0
## [1548,] 12.100000       0
## [1549,] 10.400000       0
## [1550,] 11.400000       1
## [1551,]  9.500000       0
## [1552,]  9.400000       0
## [1553,] 11.300000       1
## [1554,]  9.400000       0
## [1555,] 11.000000       1
## [1556,] 10.550000       1
## [1557,]  9.900000       0
## [1558,] 11.000000       1
## [1559,]  9.500000       0
## [1560,]  9.900000       0
## [1561,]  9.900000       0
## [1562,]  9.900000       0
## [1563,] 10.100000       0
## [1564,] 10.100000       0
## [1565,] 10.100000       0
## [1566,] 10.900000       1
## [1567,] 11.200000       1
## [1568,] 10.100000       0
## [1569,]  9.200000       0
## [1570,] 11.500000       1
## [1571,] 12.400000       1
## [1572,] 11.100000       1
## [1573,]  9.500000       0
## [1574,] 12.500000       1
## [1575,] 10.500000       1
## [1576,] 11.800000       1
## [1577,] 10.800000       1
## [1578,] 11.900000       1
## [1579,] 11.300000       1
## [1580,] 11.300000       0
## [1581,] 11.900000       1
## [1582,] 11.300000       0
## [1583,] 11.900000       0
## [1584,]  9.800000       0
## [1585,] 11.600000       1
## [1586,] 11.500000       1
## [1587,] 11.400000       1
## [1588,] 10.900000       1
## [1589,] 12.800000       1
## [1590,]  9.200000       0
## [1591,] 11.600000       1
## [1592,] 11.600000       1
## [1593,] 11.000000       1
## [1594,]  9.500000       1
## [1595,] 10.500000       0
## [1596,] 11.200000       1
## [1597,] 11.000000       1
## [1598,] 10.200000       0
## [1599,] 11.000000       1
df_new_size <- floor(0.75 * nrow(df_new))
df_new_size
## [1] 1199
train_df_raw <- sample(nrow(df_new), size = df_new_size)
train_df_raw
##    [1] 1153  666 1332  960  976 1103  398 1482 1372  688  270 1085  461 1032
##   [15]  859 1272   15 1335  725   25  890 1210 1025   54 1229  552  328 1447
##   [29] 1359 1114  536  172 1360  197  132  697  968  470  975  670   56  607
##   [43] 1204  842   83   96 1157 1100  646  832 1011  719  984  682  929  378
##   [57]  350  541  518  232 1429  281 1129 1504  370 1295 1096  790 1022 1074
##   [71] 1396 1492   36 1193 1099  312  671 1104 1252  673 1163  834  904  118
##   [85]  791  877  754   42  479  180  435  260  173  931  251 1202   17  747
##   [99]  202 1007  831  912  287 1018  622   70 1058 1364  512  395  386  357
##  [113] 1437  121  388 1086  915  379 1135  325 1042 1166  733  907 1511 1213
##  [127]  163  171  948 1217   26  252  772  338 1195  765  107 1562  302 1438
##  [141]  582  964   12  368  181 1053 1269  458  327 1000  727  872 1506  799
##  [155]  642  635  429  888  242  286  639 1279 1281  879  574 1197  506  813
##  [169]  617  613 1251  489 1140 1089 1161 1055 1030  362 1459  187  459  480
##  [183]  900 1278  523 1113  789 1505 1446 1170  418  658  669 1317  959 1526
##  [197] 1430  703 1428 1508 1543  373 1487 1010 1242  672  843  730  988  640
##  [211]  735  255  527 1274 1342  407  923  439  597 1044 1234  419  627  753
##  [225] 1179  207    5  530  158  933  451  203  510  333 1107  292 1236  315
##  [239] 1041 1111 1595 1431  139 1576  133 1150  299  268 1094 1473  718  785
##  [253]  764  583  961  914 1091 1291  148  151  123 1199  740  114 1598  739
##  [267]  244  932  779  729  428 1463  456 1203 1496 1594  661 1119  839 1424
##  [281]  893  543  434 1258  997  272 1415  649  701  713 1577  409  178 1383
##  [295] 1088  934  162  749 1017  971  771 1553  131 1589 1376 1369 1339 1315
##  [309] 1154  230  528    1  291 1184  797  951 1043  186  524  850 1265  927
##  [323]  317  590 1194  558  159 1326 1398 1171 1338  209  529 1256  483 1130
##  [337] 1479  246  835  954 1343  400 1570 1268 1461 1401  803 1426  870 1226
##  [351]  359 1239 1232 1513 1464  606  533  420  793   55 1031 1414  152  603
##  [365] 1062  819  498  910  986  102  811  680 1285 1019  761 1451  972 1005
##  [379]  444 1582 1520  678 1303  938  818  609  472  760 1470  469 1393  738
##  [393]  695 1565 1050  946 1132  125  337 1034 1509   65 1247 1366 1391 1290
##  [407]  956  852  873  199 1045  184  416  423 1527 1353  546  355 1123  517
##  [421]  805    4 1263  374  221  599 1518  567 1214 1110  694 1439 1593  217
##  [435]  999 1337  809 1425 1250 1106  415  905 1128  250  124  490  482  994
##  [449]  442  165 1422  706  614  212  746  980 1141  258 1289  788  238 1521
##  [463] 1535  777  601 1529 1257 1283  896   79  903 1379  537   18  993  371
##  [477]  644  275  164 1008   33  269   99   32 1292 1467 1330  240 1456  372
##  [491] 1040  485 1318 1083  686  955 1225  222  295  636  612  586 1200  505
##  [505] 1477  296  331  311  769  966 1212  732 1026 1389 1006  676 1346   90
##  [519] 1433  885 1441 1314  408  390  707 1293   34  981  129  726  862  542
##  [533]  916 1380  320 1309 1556  846 1014 1186  942 1246   69  214 1260  812
##  [547] 1574 1160 1056 1288  741 1357  241  224  256 1206 1362 1552   43   27
##  [561]  745 1215  638  796  380   77  967  471 1162  344  705 1498 1253  783
##  [575] 1245 1267 1532  229  926  681 1149  525  569 1403  257  692  716 1333
##  [589] 1497 1302 1596  990 1409 1512 1037  261  643  901  109  845 1548  262
##  [603]  193   74  183  882  665 1361  532  466  143  474  551  387  856  829
##  [617] 1122  421  303  211  822  263  220   16 1373 1237  880  696  115 1546
##  [631]  545  116  804 1109  191  276  393 1057 1537  693 1322   52    2  875
##  [645]  513 1001 1159  970 1152 1133  548  762  704  674 1316   60  656  424
##  [659] 1064 1176  867  626  427  145 1078  930  264 1566  780  699 1558  239
##  [673] 1384  450 1387  297 1249 1191  329 1419  714  817  234  111  807  156
##  [687]  401  492  675   82  206 1311   45 1523 1231  290 1580 1368  889 1564
##  [701]  756 1444 1579 1334 1395  391  778  991 1435  213  235  462 1003 1510
##  [715] 1235  113 1488   30 1287  909 1024 1331 1522  841   59  475 1294  436
##  [729] 1329  406  556  432 1069  585 1583  547  392  816  602 1205  928  231
##  [743]  285  318  662 1340 1411  267 1244 1375  974  496  794  884 1082    3
##  [757]  660  616 1381  142  144 1363  720 1182 1450  965  953 1503  493  468
##  [771]  578  935  782  677  736 1222   41   24  127 1542  277 1493  766   93
##  [785]  731 1344  138  939 1408   98  767  918 1066  169   47 1148  652 1227
##  [799] 1307  715  634  487  815 1284   10   87  871 1567 1116  690  684  998
##  [813]  618  721  488 1077 1060 1349  800  467  808 1072 1328 1432  431 1137
##  [827]  535  833  855 1449 1407 1560 1301  743 1485 1052 1220 1146 1177  945
##  [841] 1412  369  987  310  717  911   49 1474  580  947  464   67 1266  375
##  [855]  414  301  330  293 1304  610  919 1178 1423 1209   46  100   97 1139
##  [869] 1296 1586 1551  215 1402 1185  160 1201  897 1134  364   61  863  495
##  [883]  848  881  363  161  394   58  353   63 1483  854 1142 1554 1015 1046
##  [897]  837 1115  104  595   40   92 1039  969 1224  279  342 1105  441  253
##  [911] 1098  902   44 1027  508  581 1536  563    9   28  306 1588  218  313
##  [925] 1093  892  334 1539 1519  784  307  763 1489 1458  141 1319  810 1392
##  [939]  770 1051   80  473 1465   51 1164   62 1370 1491 1455  858 1399  465
##  [953] 1581 1499 1156 1276  322  117  445 1299 1306  298  150 1514 1028  860
##  [967]  308 1531  853 1144 1547  577  950  265  383  514  906  365   66 1469
##  [981]  119  126 1471 1495  576 1404 1173  557  201  588  977 1068  625 1174
##  [995]  112  502  973  438  540   22 1172  820  196  204  922   14 1262 1320
## [1009]  478  526  274  376  522 1336  345  336 1118 1241  849  806  283  657
## [1023]  500  326   57 1021 1507 1126 1038    7 1181  568  358  210  985  457
## [1037]  631 1065 1533  641  346  166 1460  936 1075 1033  645  447  560   39
## [1051]  691 1145 1584 1151  278  382   81  615 1388 1386  775   78  136   35
## [1065] 1382  134  154  886  604 1208   11  377 1341  343  122 1591  830  584
## [1079] 1599 1466 1125 1324 1016 1563  553 1013   20  332  587  481  623  667
## [1093]   68 1081  861  453 1555  448  319  624 1073 1348  340 1243  170 1454
## [1107] 1084  949 1561 1453 1108  600 1397  352  399 1297  650 1264 1478   88
## [1121]  593  226 1472 1049 1012  499  679 1462  147 1484  827  844  130   38
## [1135] 1187  651  571  821  596  384  402 1036  894 1347   75 1196  723  266
## [1149] 1321  237  722  385  575  570 1350   94  659  996  724 1198  228  944
## [1163]  561  153 1572 1500  742 1480 1300 1475 1305   71  629  190 1443 1528
## [1177]  786   48  188  403 1095 1175 1541 1009  865 1192 1575  748  683  979
## [1191]  324  289  397  177 1271  605  309  655   95
train_raw.df <- as.data.frame(df_new[train_df_raw, ])
train_raw.df
##      fixed acidity volatile acidity citric acid residual sugar chlorides
## 1              8.3            0.600        0.25           2.20     0.118
## 2              9.4            0.590        0.14           2.00     0.084
## 3              7.8            0.870        0.26           3.80     0.107
## 4              8.0            0.590        0.05           2.00     0.089
## 5              7.2            0.410        0.30           2.10     0.083
## 6              6.1            0.480        0.09           1.70     0.078
## 7             11.5            0.590        0.59           2.60     0.087
## 8              8.2            0.280        0.60           3.00     0.104
## 9              7.5            0.580        0.56           3.10     0.153
## 10             9.1            0.640        0.23           3.10     0.095
## 11            11.5            0.180        0.51           4.00     0.104
## 12             7.2            0.380        0.30           1.80     0.073
## 13             9.2            0.430        0.52           2.30     0.083
## 14             7.3            0.550        0.01           1.80     0.093
## 15            11.7            0.280        0.47           1.70     0.054
## 16             7.3            0.440        0.20           1.60     0.049
## 17             8.9            0.620        0.18           3.80     0.176
## 18             7.2            0.835        0.00           2.00     0.166
## 19             7.5            1.115        0.10           3.10     0.086
## 20             6.9            0.400        0.14           2.40     0.085
## 21            10.7            0.900        0.34           6.60     0.112
## 22             6.2            0.390        0.43           2.00     0.071
## 23             7.7            0.580        0.01           1.80     0.088
## 24             8.6            0.380        0.36           3.00     0.081
## 25             5.1            0.420        0.00           1.80     0.044
## 26             9.4            0.430        0.24           2.80     0.092
## 27            10.3            0.440        0.50           4.50     0.107
## 28             6.9            0.630        0.02           1.90     0.078
## 29             7.4            0.640        0.17           5.40     0.168
## 30             8.9            0.240        0.39           1.60     0.074
## 31             9.1            0.220        0.24           2.10     0.078
## 32             8.0            0.420        0.17           2.00     0.073
## 33            11.6            0.475        0.40           1.40     0.091
## 34             7.3            0.580        0.30           2.40     0.074
## 35             5.6            0.500        0.09           2.30     0.049
## 36             7.0            0.650        0.02           2.10     0.066
## 37             8.5            0.660        0.20           2.10     0.097
## 38             8.7            0.820        0.02           1.20     0.070
## 39             8.8            0.330        0.41           5.90     0.073
## 40            11.3            0.340        0.45           2.00     0.082
## 41             7.7            0.620        0.04           3.80     0.084
## 42             9.4            0.410        0.48           4.60     0.072
## 43             9.9            0.740        0.19           5.80     0.111
## 44             6.6            0.660        0.00           3.00     0.115
## 45             7.4            0.500        0.47           2.00     0.086
## 46             4.7            0.600        0.17           2.30     0.058
## 47             8.5            0.180        0.51           1.75     0.071
## 48             8.6            0.520        0.38           1.50     0.096
## 49             7.8            0.640        0.10           6.00     0.115
## 50             5.9            0.610        0.08           2.10     0.071
## 51             8.9            0.280        0.45           1.70     0.067
## 52             8.4            0.560        0.04           2.00     0.082
## 53             9.1            0.500        0.30           1.90     0.065
## 54             8.0            0.450        0.23           2.20     0.094
## 55             8.6            0.470        0.27           2.30     0.055
## 56             9.4            0.270        0.53           2.40     0.074
## 57             9.1            0.785        0.00           2.60     0.093
## 58             9.2            0.590        0.24           3.30     0.101
## 59            10.4            0.610        0.49           2.10     0.200
## 60             8.0            0.380        0.06           1.80     0.078
## 61             7.8            0.640        0.00           1.90     0.072
## 62            11.4            0.260        0.44           3.60     0.071
## 63            10.0            0.430        0.33           2.70     0.095
## 64             6.2            0.440        0.39           2.50     0.077
## 65             9.4            0.270        0.53           2.40     0.074
## 66             8.2            0.635        0.10           2.10     0.073
## 67             9.4            0.400        0.47           2.50     0.087
## 68             8.6            0.630        0.17           2.90     0.099
## 69            11.3            0.360        0.66           2.40     0.123
## 70             8.0            0.620        0.33           2.70     0.088
## 71             8.6            0.685        0.10           1.60     0.092
## 72             5.6            0.540        0.04           1.70     0.049
## 73             7.8            0.645        0.00           5.50     0.086
## 74             7.2            0.250        0.37           2.50     0.063
## 75             8.0            0.310        0.45           2.10     0.216
## 76             7.9            0.530        0.24           2.00     0.072
## 77             6.9            0.400        0.24           2.50     0.083
## 78             7.4            0.490        0.27           2.10     0.071
## 79             7.5            0.580        0.14           2.20     0.077
## 80             9.8            1.240        0.34           2.00     0.079
## 81             8.5            0.320        0.42           2.30     0.075
## 82            11.6            0.470        0.44           1.60     0.147
## 83             6.8            0.590        0.06           6.00     0.060
## 84             7.8            0.560        0.12           2.00     0.082
## 85             7.4            0.370        0.43           2.60     0.082
## 86             7.1            0.470        0.00           2.20     0.067
## 87             8.3            0.650        0.10           2.90     0.089
## 88             8.8            0.610        0.30           2.80     0.088
## 89             9.6            0.680        0.24           2.20     0.087
## 90             8.8            0.610        0.14           2.40     0.067
## 91            10.4            0.410        0.55           3.20     0.076
## 92            10.0            0.310        0.47           2.60     0.085
## 93             8.0            0.420        0.17           2.00     0.073
## 94             6.6            0.610        0.01           1.90     0.080
## 95            10.8            0.320        0.44           1.60     0.063
## 96             7.9            0.340        0.36           1.90     0.065
## 97             8.5            0.280        0.56           1.80     0.092
## 98             8.2            0.340        0.38           2.50     0.080
## 99             8.8            0.370        0.48           2.10     0.097
## 100            9.1            0.290        0.33           2.05     0.063
## 101            7.5            0.685        0.07           2.50     0.058
## 102            9.1            0.280        0.46           9.00     0.114
## 103           12.0            0.450        0.55           2.00     0.073
## 104            8.0            0.180        0.37           0.90     0.049
## 105            8.2            0.560        0.23           3.40     0.078
## 106            8.0            0.705        0.05           1.90     0.074
## 107            7.6            0.420        0.25           3.90     0.104
## 108            8.0            0.830        0.27           2.00     0.080
## 109           10.0            0.590        0.31           2.20     0.090
## 110           12.7            0.600        0.65           2.30     0.063
## 111            7.4            0.630        0.07           2.40     0.090
## 112           11.5            0.410        0.52           3.00     0.080
## 113           10.0            0.380        0.38           1.60     0.169
## 114            7.3            1.070        0.09           1.70     0.178
## 115            8.3            0.660        0.15           1.90     0.079
## 116            6.8            0.480        0.08           1.80     0.074
## 117            7.3            0.305        0.39           1.20     0.059
## 118           11.4            0.625        0.66           6.20     0.088
## 119            8.5            0.280        0.35           1.70     0.061
## 120           10.0            0.490        0.20          11.00     0.071
## 121            6.9            0.490        0.19           1.70     0.079
## 122            8.5            0.440        0.50           1.90     0.369
## 123            7.3            0.835        0.03           2.10     0.092
## 124            7.2            0.540        0.27           2.60     0.084
## 125            6.4            0.360        0.21           2.20     0.047
## 126            6.8            0.650        0.02           2.10     0.078
## 127            7.8            0.530        0.04           1.70     0.076
## 128            7.9            0.885        0.03           1.80     0.058
## 129            8.3            0.280        0.48           2.10     0.093
## 130            7.9            0.570        0.31           2.00     0.079
## 131            6.3            0.390        0.16           1.40     0.080
## 132            7.1            0.600        0.00           1.80     0.074
## 133            9.4            0.685        0.26           2.40     0.082
## 134            7.8            0.430        0.32           2.80     0.080
## 135            7.0            0.745        0.12           1.80     0.114
## 136            9.1            0.680        0.11           2.80     0.093
## 137            7.8            0.410        0.68           1.70     0.467
## 138            7.8            0.600        0.26           2.00     0.080
## 139           11.1            0.180        0.48           1.50     0.068
## 140            6.8            0.915        0.29           4.80     0.070
## 141           12.3            0.500        0.49           2.20     0.089
## 142            8.8            0.270        0.39           2.00     0.100
## 143            7.5            0.500        0.36           6.10     0.071
## 144           10.4            0.575        0.61           2.60     0.076
## 145            8.8            0.610        0.14           2.40     0.067
## 146            5.6            0.605        0.05           2.40     0.073
## 147            6.9            0.410        0.31           2.00     0.079
## 148            9.2            0.630        0.21           2.70     0.097
## 149           11.6            0.530        0.66           3.65     0.121
## 150            6.4            0.690        0.00           1.65     0.055
## 151            8.1            0.720        0.09           2.80     0.084
## 152            6.9            0.560        0.03           1.50     0.086
## 153            6.7            0.760        0.02           1.80     0.078
## 154            9.4            0.500        0.34           3.60     0.082
## 155            9.5            0.590        0.44           2.30     0.071
## 156            7.9            0.350        0.21           1.90     0.073
## 157            9.1            0.520        0.33           1.30     0.070
## 158           10.7            0.520        0.38           2.60     0.066
## 159           12.0            0.380        0.56           2.10     0.093
## 160            9.9            0.590        0.07           3.40     0.102
## 161            7.7            0.915        0.12           2.20     0.143
## 162            8.0            0.715        0.22           2.30     0.075
## 163            7.1            0.460        0.20           1.90     0.077
## 164            8.8            0.610        0.19           4.00     0.094
## 165           10.5            0.590        0.49           2.10     0.070
## 166            7.9            0.580        0.23           2.30     0.076
## 167           10.2            0.490        0.63           2.90     0.072
## 168           10.8            0.450        0.33           2.50     0.099
## 169            9.6            0.600        0.50           2.30     0.079
## 170            7.5            0.640        0.00           2.40     0.077
## 171            7.1            0.600        0.01           2.30     0.079
## 172           11.6            0.320        0.55           2.80     0.081
## 173            8.2            0.510        0.24           2.00     0.079
## 174           11.6            0.410        0.54           1.50     0.095
## 175           10.6            0.360        0.57           2.30     0.087
## 176            8.2            0.640        0.27           2.00     0.095
## 177            7.7            0.580        0.01           1.80     0.088
## 178            8.6            0.450        0.31           2.60     0.086
## 179            8.4            0.290        0.40           1.70     0.067
## 180            7.4            0.390        0.48           2.00     0.082
## 181           10.4            0.330        0.63           2.80     0.084
## 182            9.4            0.685        0.11           2.70     0.077
## 183            8.3            1.020        0.02           3.40     0.084
## 184            7.0            0.690        0.00           1.90     0.114
## 185            8.2            0.390        0.49           2.30     0.099
## 186            7.9            0.330        0.41           1.50     0.056
## 187           10.0            0.560        0.24           2.20     0.079
## 188            7.5            0.380        0.57           2.30     0.106
## 189            7.4            0.785        0.19           5.20     0.094
## 190            7.6            0.500        0.29           2.30     0.086
## 191            7.0            0.580        0.12           1.90     0.091
## 192           12.0            0.500        0.59           1.40     0.073
## 193           10.0            0.730        0.43           2.30     0.059
## 194            5.4            0.740        0.00           1.20     0.041
## 195            6.4            0.570        0.12           2.30     0.120
## 196            6.7            0.480        0.08           2.10     0.064
## 197            7.9            0.180        0.40           2.20     0.049
## 198            7.0            0.640        0.02           2.10     0.067
## 199            7.6            0.410        0.33           2.50     0.078
## 200            7.5            0.380        0.57           2.30     0.106
## 201            6.7            0.855        0.02           1.90     0.064
## 202            9.1            0.280        0.48           1.80     0.067
## 203            6.8            0.680        0.21           2.10     0.070
## 204            9.6            0.500        0.36           2.80     0.116
## 205            9.8            0.370        0.39           2.50     0.079
## 206            8.2            0.730        0.21           1.70     0.074
## 207           10.6            0.500        0.45           2.60     0.119
## 208            6.4            0.865        0.03           3.20     0.071
## 209            7.1            0.360        0.30           1.60     0.080
## 210            8.9            0.290        0.35           1.90     0.067
## 211            7.7            0.560        0.20           2.00     0.075
## 212            7.1            0.600        0.00           1.80     0.074
## 213            7.3            0.365        0.49           2.50     0.088
## 214            7.5            0.580        0.20           2.00     0.073
## 215            7.5            0.510        0.02           1.70     0.084
## 216            9.8            0.440        0.47           2.50     0.063
## 217            8.4            0.620        0.12           1.80     0.072
## 218           10.4            0.410        0.55           3.20     0.076
## 219           12.4            0.400        0.51           2.00     0.059
## 220            9.5            0.390        0.41           8.90     0.069
## 221           10.2            0.230        0.37           2.20     0.057
## 222           11.9            0.380        0.51           2.00     0.121
## 223            8.8            0.600        0.29           2.20     0.098
## 224            7.6            0.540        0.13           2.50     0.097
## 225            5.6            0.915        0.00           2.10     0.041
## 226           12.8            0.300        0.74           2.60     0.095
## 227            7.4            0.700        0.00           1.90     0.076
## 228            9.9            0.630        0.24           2.40     0.077
## 229            7.1            0.430        0.42           5.50     0.071
## 230            7.6            0.400        0.29           1.90     0.078
## 231           11.9            0.390        0.69           2.80     0.095
## 232            6.8            0.500        0.11           1.50     0.075
## 233           13.3            0.290        0.75           2.80     0.084
## 234            8.0            0.580        0.28           3.20     0.066
## 235            8.2            0.230        0.42           1.90     0.069
## 236           11.0            0.200        0.48           2.00     0.343
## 237            6.0            0.330        0.32          12.90     0.054
## 238            7.4            0.360        0.29           2.60     0.087
## 239            7.4            0.965        0.00           2.20     0.088
## 240            8.3            0.530        0.00           1.40     0.070
## 241            6.2            0.600        0.08           2.00     0.090
## 242            7.4            0.410        0.24           1.80     0.066
## 243            7.8            0.560        0.19           2.10     0.081
## 244            7.5            0.520        0.40           2.20     0.060
## 245            5.6            0.500        0.09           2.30     0.049
## 246           10.0            0.350        0.47           2.00     0.061
## 247            7.2            0.650        0.02           2.30     0.094
## 248            7.9            0.350        0.46           3.60     0.078
## 249            9.2            0.310        0.36           2.20     0.079
## 250            7.6            0.350        0.60           2.60     0.073
## 251            7.6            0.460        0.11           2.60     0.079
## 252            7.1            0.590        0.01           2.50     0.077
## 253            9.3            0.655        0.26           2.00     0.096
## 254           11.7            0.490        0.49           2.20     0.083
## 255            8.5            0.470        0.27           1.90     0.058
## 256            9.4            0.395        0.46           4.60     0.094
## 257           10.0            0.260        0.54           1.90     0.083
## 258            7.6            0.740        0.00           1.90     0.100
## 259            7.6            0.490        0.26           1.60     0.236
## 260            7.3            0.330        0.47           2.10     0.077
## 261            7.3            0.695        0.00           2.50     0.075
## 262            7.7            0.260        0.26           2.00     0.052
## 263            9.0            0.690        0.00           2.40     0.088
## 264           10.1            0.310        0.44           2.30     0.080
## 265            5.9            0.645        0.12           2.00     0.075
## 266            9.0            0.460        0.23           2.80     0.092
## 267           15.0            0.210        0.44           2.20     0.075
## 268            7.4            0.610        0.01           2.00     0.074
## 269            8.3            0.430        0.30           3.40     0.079
## 270            6.4            0.570        0.02           1.80     0.067
## 271            9.5            0.780        0.22           1.90     0.077
## 272            6.8            0.640        0.03           2.30     0.075
## 273           11.3            0.620        0.67           5.20     0.086
## 274            8.6            0.420        0.39           1.80     0.068
## 275            7.0            0.430        0.02           1.90     0.080
## 276            6.8            0.620        0.08           1.90     0.068
## 277            7.2            0.520        0.07           1.40     0.074
## 278            7.1            0.390        0.12           2.10     0.065
## 279           10.1            0.310        0.35           1.60     0.075
## 280            6.4            0.530        0.09           3.90     0.123
## 281           10.1            0.450        0.23           1.90     0.082
## 282            9.3            0.715        0.24           2.10     0.070
## 283           12.3            0.390        0.63           2.30     0.091
## 284            7.0            0.580        0.28           4.80     0.085
## 285            5.6            0.660        0.00           2.20     0.087
## 286           11.5            0.180        0.51           4.00     0.104
## 287           10.0            0.320        0.59           2.20     0.077
## 288            8.7            0.480        0.30           2.80     0.066
## 289           10.6            1.020        0.43           2.90     0.076
## 290            8.7            0.690        0.00           3.20     0.084
## 291            8.0            0.300        0.63           1.60     0.081
## 292           10.4            0.340        0.58           3.70     0.174
## 293            7.5            0.520        0.42           2.30     0.087
## 294            8.0            0.600        0.22           2.10     0.080
## 295            7.9            0.190        0.42           1.60     0.057
## 296            7.4            0.610        0.01           2.00     0.074
## 297            7.6            0.680        0.02           1.30     0.072
## 298            7.2            0.500        0.18           2.10     0.071
## 299            8.9            0.380        0.40           2.20     0.068
## 300           10.4            0.260        0.48           1.90     0.066
## 301            7.1            0.590        0.02           2.30     0.082
## 302            6.3            0.680        0.01           3.70     0.103
## 303            8.0            0.745        0.56           2.00     0.118
## 304            7.2            0.660        0.33           2.50     0.068
## 305            7.2            0.560        0.26           2.00     0.083
## 306            8.0            0.770        0.32           2.10     0.079
## 307            6.0            0.500        0.00           1.40     0.057
## 308            7.0            0.360        0.21           2.40     0.086
## 309            9.6            0.420        0.35           2.10     0.083
## 310            6.9            0.520        0.25           2.60     0.081
## 311            7.0            0.380        0.49           2.50     0.097
## 312            7.4            0.700        0.00           1.90     0.076
## 313            8.7            0.520        0.09           2.50     0.091
## 314            6.8            0.660        0.07           1.60     0.070
## 315            8.7            0.460        0.31           2.50     0.126
## 316            8.9            0.120        0.45           1.80     0.075
## 317            8.9            0.500        0.21           2.20     0.088
## 318            8.9            0.310        0.57           2.00     0.111
## 319            9.3            0.400        0.49           2.50     0.085
## 320            6.4            0.630        0.21           1.60     0.080
## 321            8.5            0.370        0.32           1.80     0.066
## 322            9.4            0.240        0.33           2.30     0.061
## 323            9.6            0.560        0.23           3.40     0.102
## 324           10.2            0.290        0.49           2.60     0.059
## 325            6.4            0.885        0.00           2.30     0.166
## 326           15.6            0.645        0.49           4.20     0.095
## 327            7.1            0.680        0.00           2.20     0.073
## 328            6.7            0.460        0.24           1.70     0.077
## 329            7.3            0.590        0.26           2.00     0.080
## 330            9.2            0.360        0.34           1.60     0.062
## 331            6.0            0.500        0.00           1.40     0.057
## 332            7.8            0.440        0.28           2.70     0.100
## 333            8.2            0.420        0.49           2.60     0.084
## 334            6.1            0.640        0.02           2.40     0.069
## 335           10.6            0.360        0.59           2.20     0.152
## 336           10.5            0.430        0.35           3.30     0.092
## 337            7.1            0.875        0.05           5.70     0.082
## 338            7.3            0.660        0.00           2.00     0.084
## 339            8.8            0.685        0.26           1.60     0.088
## 340           10.2            0.340        0.48           2.10     0.052
## 341            7.6            0.540        0.02           1.70     0.085
## 342            8.7            0.765        0.22           2.30     0.064
## 343            6.2            0.510        0.14           1.90     0.056
## 344           10.4            0.430        0.50           2.30     0.068
## 345            6.4            0.420        0.09           2.30     0.054
## 346            7.9            0.690        0.21           2.10     0.080
## 347            5.1            0.585        0.00           1.70     0.044
## 348            8.3            0.260        0.37           1.40     0.076
## 349            7.6            0.630        0.03           2.00     0.080
## 350            9.2            0.460        0.23           2.60     0.091
## 351           11.9            0.430        0.66           3.10     0.109
## 352            8.1            0.730        0.00           2.50     0.081
## 353            7.8            0.815        0.01           2.60     0.074
## 354            6.4            0.790        0.04           2.20     0.061
## 355            6.9            0.630        0.01           2.40     0.076
## 356            8.3            0.600        0.13           2.60     0.085
## 357           11.9            0.380        0.49           2.70     0.098
## 358            6.8            0.770        0.00           1.80     0.066
## 359            7.1            0.610        0.02           2.50     0.081
## 360            7.6            0.510        0.15           2.80     0.110
## 361            7.1            0.590        0.00           2.10     0.091
## 362            9.9            0.570        0.25           2.00     0.104
## 363            9.2            0.520        1.00           3.40     0.610
## 364            7.7            0.835        0.00           2.60     0.081
## 365            9.1            0.400        0.50           1.80     0.071
## 366            7.1            0.715        0.00           2.35     0.071
## 367            7.2            0.340        0.32           2.50     0.090
## 368            7.3            0.305        0.39           1.20     0.059
## 369            7.4            0.580        0.00           2.00     0.064
## 370            7.8            0.500        0.30           1.90     0.075
## 371            7.3            0.490        0.10           2.60     0.068
## 372           10.8            0.260        0.45           3.30     0.060
## 373            7.0            0.420        0.19           2.30     0.071
## 374            8.0            0.180        0.37           0.90     0.049
## 375            9.0            0.580        0.25           2.80     0.075
## 376            7.2            0.370        0.32           2.00     0.062
## 377           10.4            0.260        0.48           1.90     0.066
## 378            8.2            0.430        0.29           1.60     0.081
## 379           10.0            0.440        0.49           2.70     0.077
## 380            6.2            0.560        0.09           1.70     0.053
## 381            6.6            0.700        0.08           2.60     0.106
## 382            8.6            0.800        0.11           2.30     0.084
## 383            9.1            0.370        0.32           2.10     0.064
## 384           12.0            0.630        0.50           1.40     0.071
## 385           10.8            0.290        0.42           1.60     0.084
## 386           10.1            0.650        0.37           5.10     0.110
## 387            9.6            0.540        0.42           2.40     0.081
## 388            8.8            0.420        0.21           2.50     0.092
## 389            7.3            0.980        0.05           2.10     0.061
## 390           11.4            0.360        0.69           2.10     0.090
## 391            7.1            0.620        0.06           1.30     0.070
## 392            8.2            0.590        0.00           2.50     0.093
## 393            9.0            0.470        0.31           2.70     0.084
## 394            7.2            0.695        0.13           2.00     0.076
## 395            9.3            0.500        0.36           1.80     0.084
## 396           10.2            0.440        0.42           2.00     0.071
## 397            5.9            0.190        0.21           1.70     0.045
## 398            7.8            0.500        0.17           1.60     0.082
## 399            8.9            0.430        0.45           1.90     0.052
## 400            7.5            0.570        0.08           2.60     0.089
## 401            7.1            0.270        0.60           2.10     0.074
## 402            7.2            0.725        0.05           4.65     0.086
## 403            7.4            0.740        0.07           1.70     0.086
## 404            7.8            0.500        0.09           2.20     0.115
## 405            6.0            0.490        0.00           2.30     0.068
## 406            7.0            0.600        0.30           4.50     0.068
## 407            8.5            0.210        0.52           1.90     0.090
## 408            9.3            0.430        0.44           1.90     0.085
## 409            7.3            0.350        0.24           2.00     0.067
## 410            5.4            0.835        0.08           1.20     0.046
## 411            6.4            0.390        0.33           3.30     0.046
## 412            6.8            0.610        0.20           1.80     0.077
## 413            8.6            0.725        0.24           6.60     0.117
## 414            7.7            0.960        0.20           2.00     0.047
## 415            6.8            0.470        0.08           2.20     0.064
## 416            7.6            0.645        0.03           1.90     0.086
## 417            9.1            0.470        0.49           2.60     0.094
## 418            6.1            0.210        0.40           1.40     0.066
## 419            6.3            0.470        0.00           1.40     0.055
## 420           12.5            0.600        0.49           4.30     0.100
## 421            8.4            0.520        0.22           2.70     0.084
## 422           11.2            0.280        0.56           1.90     0.075
## 423            9.8            0.450        0.38           2.50     0.081
## 424            7.4            0.550        0.22           2.20     0.106
## 425            7.8            0.340        0.37           2.00     0.082
## 426            8.5            0.585        0.18           2.10     0.078
## 427            6.5            0.530        0.06           2.00     0.063
## 428            8.7            0.700        0.24           2.50     0.226
## 429            9.6            0.380        0.42           1.90     0.071
## 430           10.8            0.470        0.43           2.10     0.171
## 431            9.0            0.480        0.32           2.80     0.084
## 432            7.0            0.590        0.00           1.70     0.052
## 433            6.3            0.510        0.13           2.30     0.076
## 434            8.7            0.625        0.16           2.00     0.101
## 435            8.9            0.840        0.34           1.40     0.050
## 436            6.0            0.500        0.00           1.40     0.057
## 437            7.4            0.530        0.12           1.90     0.165
## 438            8.3            0.260        0.37           1.40     0.076
## 439            7.1            0.600        0.01           2.30     0.079
## 440            6.3            0.570        0.28           2.10     0.048
## 441            8.8            0.520        0.34           2.70     0.087
## 442            6.8            0.590        0.06           6.00     0.060
## 443            6.3            0.760        0.00           2.90     0.072
## 444            7.3            0.660        0.00           2.00     0.084
## 445            8.0            0.710        0.00           2.60     0.080
## 446            9.3            0.390        0.40           2.60     0.073
## 447            9.4            0.300        0.56           2.80     0.080
## 448            7.1            0.340        0.28           2.00     0.082
## 449           11.9            0.400        0.65           2.15     0.068
## 450            7.3            0.590        0.26           7.20     0.070
## 451            7.5            0.400        0.18           1.60     0.079
## 452            8.4            1.035        0.15           6.00     0.073
## 453            8.2            0.390        0.38           1.50     0.058
## 454            8.0            0.725        0.24           2.80     0.083
## 455            7.3            0.510        0.18           2.10     0.070
## 456           12.2            0.450        0.49           1.40     0.075
## 457            7.3            0.400        0.30           1.70     0.080
## 458            6.6            0.695        0.00           2.10     0.075
## 459            7.0            0.600        0.30           4.50     0.068
## 460           10.0            0.560        0.24           2.20     0.079
## 461            7.2            0.645        0.00           1.90     0.097
## 462            6.5            0.530        0.06           2.00     0.063
## 463            6.6            0.560        0.14           2.40     0.064
## 464            6.9            0.765        0.18           2.40     0.243
## 465            8.2            0.915        0.27           2.10     0.088
## 466            7.9            0.290        0.49           2.20     0.096
## 467            7.5            0.590        0.22           1.80     0.082
## 468            7.9            0.765        0.00           2.00     0.084
## 469            7.1            0.590        0.01           2.30     0.080
## 470            6.7            0.750        0.12           2.00     0.086
## 471            7.4            0.635        0.10           2.40     0.080
## 472            7.2            0.450        0.15           2.00     0.078
## 473            9.9            0.630        0.24           2.40     0.077
## 474            8.1            0.560        0.28           1.70     0.368
## 475            6.5            0.400        0.10           2.00     0.076
## 476            6.9            0.765        0.02           2.30     0.063
## 477            9.5            0.590        0.44           2.30     0.071
## 478            7.5            0.650        0.18           7.00     0.088
## 479            7.4            0.600        0.26           7.30     0.070
## 480            9.1            0.300        0.34           2.00     0.064
## 481            8.3            0.655        0.12           2.30     0.083
## 482            6.9            0.540        0.04           3.00     0.077
## 483            7.6            0.900        0.06           2.50     0.079
## 484            6.9            0.685        0.00           2.50     0.105
## 485            8.2            0.635        0.10           2.10     0.073
## 486            7.3            0.480        0.32           2.10     0.062
## 487            7.4            0.600        0.26           2.10     0.083
## 488            8.2            1.000        0.09           2.30     0.065
## 489            6.5            0.900        0.00           1.60     0.052
## 490            7.9            0.240        0.40           1.60     0.056
## 491            8.9            0.500        0.21           2.20     0.088
## 492           10.6            0.440        0.68           4.10     0.114
## 493            9.9            0.440        0.46           2.20     0.091
## 494            7.2            0.380        0.30           1.80     0.073
## 495            8.1            0.780        0.23           2.60     0.059
## 496            7.6            0.430        0.40           2.70     0.082
## 497           12.6            0.390        0.49           2.50     0.080
## 498            7.4            0.530        0.26           2.00     0.101
## 499           13.3            0.340        0.52           3.20     0.094
## 500            8.7            0.840        0.00           1.40     0.065
## 501           13.2            0.380        0.55           2.70     0.081
## 502            7.6            0.510        0.24           2.40     0.091
## 503            7.9            0.580        0.23           2.30     0.076
## 504           10.5            0.240        0.42           1.80     0.077
## 505            9.9            0.500        0.50          13.80     0.205
## 506           10.8            0.500        0.46           2.50     0.073
## 507           10.2            0.360        0.64           2.90     0.122
## 508           10.3            0.530        0.48           2.50     0.063
## 509            7.1            0.590        0.02           2.30     0.082
## 510            8.3            0.340        0.40           2.40     0.065
## 511            6.6            0.440        0.15           2.10     0.076
## 512            8.9            0.875        0.13           3.45     0.088
## 513            8.6            0.830        0.00           2.80     0.095
## 514            6.6            0.640        0.31           6.10     0.083
## 515            6.8            0.360        0.32           1.80     0.067
## 516            9.3            0.410        0.39           2.20     0.064
## 517            8.2            0.440        0.24           2.30     0.063
## 518            7.0            0.620        0.08           1.80     0.076
## 519            5.9            0.440        0.00           1.60     0.042
## 520            8.8            0.610        0.19           4.00     0.094
## 521            7.2            0.370        0.32           2.00     0.062
## 522            7.0            0.360        0.21           2.30     0.086
## 523           12.0            0.390        0.66           3.00     0.093
## 524            9.6            0.380        0.31           2.50     0.096
## 525            7.0            0.780        0.08           2.00     0.093
## 526            5.9            0.395        0.13           2.40     0.056
## 527            6.9            0.605        0.12          10.70     0.073
## 528            9.1            0.500        0.30           1.90     0.065
## 529            8.0            0.590        0.16           1.80     0.065
## 530            9.0            0.660        0.17           3.00     0.077
## 531            5.8            1.010        0.66           2.00     0.039
## 532            9.5            0.460        0.49           6.30     0.064
## 533            8.6            0.315        0.40           2.20     0.079
## 534            7.5            0.570        0.02           2.60     0.077
## 535            9.6            0.770        0.12           2.90     0.082
## 536            9.7            0.690        0.32           2.50     0.088
## 537            7.0            0.560        0.17           1.70     0.065
## 538            6.4            0.640        0.21           1.80     0.081
## 539            7.5            0.710        0.00           1.60     0.092
## 540            7.0            0.430        0.30           2.00     0.085
## 541            9.9            0.270        0.49           5.00     0.082
## 542            7.4            0.550        0.19           1.80     0.082
## 543            9.3            0.320        0.57           2.00     0.074
## 544            8.2            0.570        0.26           2.20     0.060
## 545            6.8            0.640        0.00           2.70     0.123
## 546           12.9            0.500        0.55           2.80     0.072
## 547            6.0            0.580        0.20           2.40     0.075
## 548           10.2            0.410        0.43           2.20     0.110
## 549            8.2            0.640        0.27           2.00     0.095
## 550            8.0            0.600        0.08           2.60     0.056
## 551            8.3            0.760        0.29           4.20     0.075
## 552            6.1            0.340        0.25           1.80     0.084
## 553            8.9            0.635        0.37           1.70     0.263
## 554            8.6            0.645        0.25           2.00     0.083
## 555            8.0            0.570        0.23           3.20     0.073
## 556            7.2            0.360        0.46           2.10     0.074
## 557            8.3            0.850        0.14           2.50     0.093
## 558            7.1            0.670        0.00           2.30     0.083
## 559            7.5            0.490        0.20           2.60     0.332
## 560            7.6            0.410        0.24           1.80     0.080
## 561           11.1            0.390        0.54           2.70     0.095
## 562           10.2            0.330        0.46           1.90     0.081
## 563            9.5            0.885        0.27           2.30     0.084
## 564           10.8            0.890        0.30           2.60     0.132
## 565            8.3            0.420        0.38           2.50     0.094
## 566            8.8            0.410        0.64           2.20     0.093
## 567            9.0            0.380        0.41           2.40     0.103
## 568           13.0            0.320        0.65           2.60     0.093
## 569            8.8            0.450        0.43           1.40     0.076
## 570           10.9            0.390        0.47           1.80     0.118
## 571            9.1            0.765        0.04           1.60     0.078
## 572            6.9            0.740        0.03           2.30     0.054
## 573            7.1            0.720        0.00           1.80     0.123
## 574            9.0            0.820        0.05           2.40     0.081
## 575            5.9            0.290        0.25          13.40     0.067
## 576            7.2            0.570        0.05           2.30     0.081
## 577            6.1            0.705        0.10           2.80     0.081
## 578            7.7            0.430        0.25           2.60     0.073
## 579            8.6            0.220        0.36           1.90     0.064
## 580           13.3            0.430        0.58           1.90     0.070
## 581            7.8            0.390        0.42           2.00     0.086
## 582            9.2            0.430        0.49           2.40     0.086
## 583            9.8            0.500        0.49           2.60     0.250
## 584            7.6            0.300        0.42           2.00     0.052
## 585            9.4            0.340        0.37           2.20     0.075
## 586            9.2            0.920        0.24           2.60     0.087
## 587            7.2            0.490        0.18           2.70     0.069
## 588            8.4            0.390        0.10           1.70     0.075
## 589            7.7            0.540        0.26           1.90     0.089
## 590            6.7            0.860        0.07           2.00     0.100
## 591            5.9            0.550        0.10           2.20     0.062
## 592            9.7            0.295        0.40           1.50     0.073
## 593            8.1            0.290        0.36           2.20     0.048
## 594            7.1            0.690        0.04           2.10     0.068
## 595            7.6            0.310        0.34           2.50     0.082
## 596            7.9            0.330        0.23           1.70     0.077
## 597            9.9            0.540        0.45           2.30     0.071
## 598            8.9            0.310        0.36           2.60     0.056
## 599            8.0            0.330        0.53           2.50     0.091
## 600            9.9            0.250        0.46           1.70     0.062
## 601            6.3            0.600        0.10           1.60     0.048
## 602            7.0            0.975        0.04           2.00     0.087
## 603            6.8            0.630        0.12           3.80     0.099
## 604            8.3            0.675        0.26           2.10     0.084
## 605            7.2            0.730        0.02           2.50     0.076
## 606            7.6            0.715        0.00           2.10     0.068
## 607           12.1            0.400        0.52           2.00     0.092
## 608            9.2            0.540        0.31           2.30     0.112
## 609           11.9            0.380        0.49           2.70     0.098
## 610           10.0            0.290        0.40           2.90     0.098
## 611            5.2            0.340        0.00           1.80     0.050
## 612            9.9            0.350        0.55           2.10     0.062
## 613            6.8            0.510        0.01           2.10     0.074
## 614            7.8            0.540        0.26           2.00     0.088
## 615            7.6            0.735        0.02           2.50     0.071
## 616            7.8            0.570        0.09           2.30     0.065
## 617            6.6            0.500        0.00           1.80     0.062
## 618            9.5            0.560        0.33           2.40     0.089
## 619            8.3            0.705        0.12           2.60     0.092
## 620            9.7            0.530        0.60           2.00     0.039
## 621            4.9            0.420        0.00           2.10     0.048
## 622            8.0            0.520        0.03           1.70     0.070
## 623            7.8            0.530        0.33           2.40     0.080
## 624            8.9            0.620        0.19           3.90     0.170
## 625            8.7            0.780        0.51           1.70     0.415
## 626            7.8            0.550        0.00           1.70     0.070
## 627            7.2            0.600        0.04           2.50     0.076
## 628            5.1            0.470        0.02           1.30     0.034
## 629            7.8            0.560        0.19           1.80     0.104
## 630            6.5            0.630        0.33           1.80     0.059
## 631           14.3            0.310        0.74           1.80     0.075
## 632            9.4            0.400        0.31           2.20     0.090
## 633            7.7            0.560        0.08           2.50     0.114
## 634            8.1            0.780        0.10           3.30     0.090
## 635            8.2            0.500        0.35           2.90     0.077
## 636            7.9            0.545        0.06           4.00     0.087
## 637            9.5            0.370        0.52           2.00     0.082
## 638            8.9            0.480        0.53           4.00     0.101
## 639            6.1            0.530        0.08           1.90     0.077
## 640            8.6            0.490        0.51           2.00     0.422
## 641            5.0            0.740        0.00           1.20     0.041
## 642            6.6            0.520        0.04           2.20     0.069
## 643            7.8            0.880        0.00           2.60     0.098
## 644           10.4            0.380        0.46           2.10     0.104
## 645           10.7            0.400        0.48           2.10     0.125
## 646            7.5            0.430        0.30           2.20     0.062
## 647            6.7            0.410        0.43           2.80     0.076
## 648            6.7            0.560        0.09           2.90     0.079
## 649            6.1            0.580        0.23           2.50     0.044
## 650            7.4            0.360        0.34           1.80     0.075
## 651           10.6            0.310        0.49           2.50     0.067
## 652            9.3            0.655        0.26           2.00     0.096
## 653            7.5            0.380        0.48           2.60     0.073
## 654            8.2            0.730        0.21           1.70     0.074
## 655            7.5            0.630        0.27           2.00     0.083
## 656            7.3            0.390        0.31           2.40     0.074
## 657            9.7            0.550        0.17           2.90     0.087
## 658           10.5            0.240        0.47           2.10     0.066
## 659           10.2            0.290        0.65           2.40     0.075
## 660            6.5            0.610        0.00           2.20     0.095
## 661            6.8            0.490        0.22           2.30     0.071
## 662            6.8            0.690        0.00           5.60     0.124
## 663            6.4            0.670        0.08           2.10     0.045
## 664            5.2            0.340        0.00           1.80     0.050
## 665            8.6            0.370        0.65           6.40     0.080
## 666            8.7            0.330        0.38           3.30     0.063
## 667            7.9            0.370        0.23           1.80     0.077
## 668            6.7            0.670        0.02           1.90     0.061
## 669            7.1            0.520        0.03           2.60     0.076
## 670            9.4            0.615        0.28           3.20     0.087
## 671            6.6            0.855        0.02           2.40     0.062
## 672            7.2            0.630        0.00           1.90     0.097
## 673            8.0            0.600        0.22           2.10     0.080
## 674           11.9            0.390        0.69           2.80     0.095
## 675            7.4            0.640        0.07           1.80     0.100
## 676           10.6            0.830        0.37           2.60     0.086
## 677            6.9            0.410        0.33           2.20     0.081
## 678            9.1            0.400        0.57           4.60     0.080
## 679           13.4            0.270        0.62           2.60     0.082
## 680            7.8            0.530        0.01           1.60     0.077
## 681            8.0            0.430        0.36           2.30     0.075
## 682            9.8            0.510        0.19           3.20     0.081
## 683            6.9            0.520        0.25           2.60     0.081
## 684            7.8            0.560        0.19           1.80     0.104
## 685            8.4            0.250        0.39           2.00     0.041
## 686            7.1            0.430        0.42           5.50     0.071
## 687            6.6            0.735        0.02           7.90     0.122
## 688            9.2            0.410        0.50           2.50     0.055
## 689           10.8            0.400        0.41           2.20     0.084
## 690            7.8            0.430        0.70           1.90     0.464
## 691           12.8            0.300        0.74           2.60     0.095
## 692            7.5            0.610        0.26           1.90     0.073
## 693            6.8            0.670        0.02           1.80     0.050
## 694            6.1            0.320        0.25           2.30     0.071
## 695            7.7            0.180        0.34           2.70     0.066
## 696           11.6            0.420        0.53           3.30     0.105
## 697            6.2            0.560        0.09           1.70     0.053
## 698            6.9            0.540        0.30           2.20     0.088
## 699            6.8            0.570        0.00           2.50     0.072
## 700            7.2            0.695        0.13           2.00     0.076
## 701            7.8            0.910        0.07           1.90     0.058
## 702            6.9            0.580        0.20           1.75     0.058
## 703            6.8            0.670        0.15           1.80     0.118
## 704            9.1            0.775        0.22           2.20     0.079
## 705            6.4            0.570        0.14           3.90     0.070
## 706            5.6            0.850        0.05           1.40     0.045
## 707            6.9            0.635        0.17           2.40     0.241
## 708            7.7            0.390        0.12           1.70     0.097
## 709           10.2            0.540        0.37          15.40     0.214
## 710           11.6            0.440        0.64           2.10     0.059
## 711            8.2            1.000        0.09           2.30     0.065
## 712            8.3            0.615        0.22           2.60     0.087
## 713            9.1            0.290        0.33           2.05     0.063
## 714            7.9            0.180        0.40           1.80     0.062
## 715            7.1            0.750        0.01           2.20     0.059
## 716            8.4            0.600        0.10           2.20     0.085
## 717            6.0            0.640        0.05           1.90     0.066
## 718            7.8            0.645        0.00           2.00     0.082
## 719            7.1            0.160        0.44           2.50     0.068
## 720            7.4            0.520        0.13           2.40     0.078
## 721            8.2            0.320        0.42           2.30     0.098
## 722            7.4            0.600        0.26           2.10     0.083
## 723            6.9            0.480        0.20           1.90     0.082
## 724           11.1            0.420        0.47           2.65     0.085
## 725            7.8            0.590        0.18           2.30     0.076
## 726           10.5            0.280        0.51           1.70     0.080
## 727            7.5            0.755        0.00           1.90     0.084
## 728           12.3            0.390        0.63           2.30     0.091
## 729            6.5            0.520        0.11           1.80     0.073
## 730            8.7            0.310        0.46           1.40     0.059
## 731           15.5            0.645        0.49           4.20     0.095
## 732            7.8            0.550        0.35           2.20     0.074
## 733           11.1            0.310        0.53           2.20     0.060
## 734           11.8            0.330        0.49           3.40     0.093
## 735            6.1            0.715        0.10           2.60     0.053
## 736            7.5            0.550        0.24           2.00     0.078
## 737           13.7            0.415        0.68           2.90     0.085
## 738           10.8            0.450        0.33           2.50     0.099
## 739           13.2            0.460        0.52           2.20     0.071
## 740            7.2            0.360        0.46           2.10     0.074
## 741            8.4            0.670        0.19           2.20     0.093
## 742            5.2            0.480        0.04           1.60     0.054
## 743            9.9            0.590        0.07           3.40     0.102
## 744            9.6            0.770        0.12           2.90     0.082
## 745            7.5            0.420        0.31           1.60     0.080
## 746            7.5            0.510        0.02           1.70     0.084
## 747            6.6            0.960        0.00           1.80     0.082
## 748            8.1            0.870        0.00           3.30     0.096
## 749            8.3            0.560        0.22           2.40     0.082
## 750            6.8            0.815        0.00           1.20     0.267
## 751            8.5            0.340        0.44           1.70     0.079
## 752           10.7            0.350        0.53           2.60     0.070
## 753            7.7            0.600        0.00           2.60     0.055
## 754            7.2            0.600        0.04           2.50     0.076
## 755            7.9            0.300        0.68           8.30     0.050
## 756            7.8            0.760        0.04           2.30     0.092
## 757            7.1            0.840        0.02           4.40     0.096
## 758            9.6            0.600        0.50           2.30     0.079
## 759            7.5            0.570        0.02           2.60     0.077
## 760            8.3            0.715        0.15           1.80     0.089
## 761            6.3            0.390        0.08           1.70     0.066
## 762           11.6            0.475        0.40           1.40     0.091
## 763            7.1            0.660        0.00           3.90     0.086
## 764            9.8            0.390        0.43           1.65     0.068
## 765            7.2            0.380        0.31           2.00     0.056
## 766            8.5            0.470        0.27           1.90     0.058
## 767            8.2            0.310        0.40           2.20     0.058
## 768            7.3            0.585        0.18           2.40     0.078
## 769            8.9            0.400        0.51           2.60     0.052
## 770            8.8            0.460        0.45           2.60     0.065
## 771            8.8            0.440        0.49           2.80     0.083
## 772            6.6            0.610        0.01           1.90     0.080
## 773            6.5            0.460        0.14           2.40     0.114
## 774           10.8            0.400        0.41           2.20     0.084
## 775            7.7            0.965        0.10           2.10     0.112
## 776           10.9            0.320        0.52           1.80     0.132
## 777            7.3            0.450        0.36           5.90     0.074
## 778            8.5            0.490        0.11           2.30     0.084
## 779            8.2            1.330        0.00           1.70     0.081
## 780            7.4            0.250        0.29           2.20     0.054
## 781            6.9            0.540        0.04           3.00     0.077
## 782            6.2            0.650        0.06           1.60     0.050
## 783            9.2            0.670        0.10           3.00     0.091
## 784            8.6            0.490        0.29           2.00     0.110
## 785            9.5            0.550        0.66           2.30     0.387
## 786            7.5            0.510        0.02           1.70     0.084
## 787            7.2            0.415        0.36           2.00     0.081
## 788            7.2            0.380        0.38           2.80     0.068
## 789            6.0            0.510        0.00           2.10     0.064
## 790            7.0            0.500        0.25           2.00     0.070
## 791            8.8            0.590        0.18           2.90     0.089
## 792            6.8            0.410        0.31           8.80     0.084
## 793            7.7            0.610        0.18           2.40     0.083
## 794            6.8            0.630        0.07           2.10     0.089
## 795            7.7            0.935        0.43           2.20     0.114
## 796           10.0            0.410        0.45           6.20     0.071
## 797            9.8            0.880        0.25           2.50     0.104
## 798            7.5            0.580        0.03           4.10     0.080
## 799            9.7            0.690        0.32           2.50     0.088
## 800            9.9            0.740        0.28           2.60     0.078
## 801           10.1            0.935        0.22           3.40     0.105
## 802           10.2            0.670        0.39           1.90     0.054
## 803           12.6            0.410        0.54           2.80     0.103
## 804            8.7            0.630        0.28           2.70     0.096
## 805            7.5            0.500        0.36           6.10     0.071
## 806            8.6            0.490        0.28           1.90     0.110
## 807            7.7            0.715        0.01           2.10     0.064
## 808            6.7            0.160        0.64           2.10     0.059
## 809            7.0            0.690        0.07           2.50     0.091
## 810            8.1            0.380        0.48           1.80     0.157
## 811            8.1            0.780        0.23           2.60     0.059
## 812            5.6            0.660        0.00           2.20     0.087
## 813           11.5            0.310        0.51           2.20     0.079
## 814            8.4            0.560        0.04           2.00     0.082
## 815           10.2            0.645        0.36           1.80     0.053
## 816            9.9            0.320        0.56           2.00     0.073
## 817            8.9            0.480        0.53           4.00     0.101
## 818            7.2            0.655        0.03           1.80     0.078
## 819            9.4            0.500        0.34           3.60     0.082
## 820           10.3            0.500        0.42           2.00     0.069
## 821            8.2            0.280        0.40           2.40     0.052
## 822            7.5            0.770        0.20           8.10     0.098
## 823            6.7            0.460        0.24           1.70     0.077
## 824            7.6            0.430        0.31           2.10     0.069
## 825           10.5            0.240        0.47           2.10     0.066
## 826           10.4            0.520        0.45           2.00     0.080
## 827           10.0            0.480        0.24           2.70     0.102
## 828           10.4            0.440        0.42           1.50     0.145
## 829            9.3            0.360        0.39           1.50     0.080
## 830            6.9            0.580        0.01           1.90     0.080
## 831            8.2            0.240        0.34           5.10     0.062
## 832            7.8            0.600        0.26           2.00     0.080
## 833            5.2            0.645        0.00           2.15     0.080
## 834            6.5            0.615        0.00           1.90     0.065
## 835            6.8            0.910        0.06           2.00     0.060
## 836            8.5            0.460        0.59           1.40     0.414
## 837            9.0            0.390        0.40           1.30     0.044
## 838            8.2            0.200        0.43           2.50     0.076
## 839            6.5            0.880        0.03           5.60     0.079
## 840            8.3            0.300        0.49           3.80     0.090
## 841            6.4            0.470        0.40           2.40     0.071
## 842           10.3            0.340        0.52           2.80     0.159
## 843            9.8            0.340        0.39           1.40     0.066
## 844            7.4            0.290        0.38           1.70     0.062
## 845            8.0            0.430        0.36           2.30     0.075
## 846            9.3            0.380        0.48           3.80     0.132
## 847            6.4            0.400        0.23           1.60     0.066
## 848            6.1            0.600        0.08           1.80     0.071
## 849           10.6            0.310        0.49           2.20     0.063
## 850           10.2            0.440        0.58           4.10     0.092
## 851            8.1            0.660        0.70           2.20     0.098
## 852            7.5            0.520        0.11           1.50     0.079
## 853            7.2            0.570        0.05           2.30     0.081
## 854           14.0            0.410        0.63           3.80     0.089
## 855            9.9            0.400        0.53           6.70     0.097
## 856            7.5            0.530        0.06           2.60     0.086
## 857           10.7            0.460        0.39           2.00     0.061
## 858           10.4            0.550        0.23           2.70     0.091
## 859            8.0            0.280        0.44           1.80     0.081
## 860            6.3            0.360        0.19           3.20     0.075
## 861            8.4            0.360        0.32           2.20     0.081
## 862            7.1            0.660        0.00           2.40     0.052
## 863            7.0            0.540        0.00           2.10     0.079
## 864            7.2            0.360        0.46           2.10     0.074
## 865            4.6            0.520        0.15           2.10     0.054
## 866            8.1            0.545        0.18           1.90     0.080
## 867            6.8            0.775        0.00           3.00     0.102
## 868            7.5            0.410        0.15           3.70     0.104
## 869            6.6            0.630        0.00           4.30     0.093
## 870            7.2            0.390        0.44           2.60     0.066
## 871            7.1            0.680        0.00           2.30     0.087
## 872            7.8            0.735        0.08           2.40     0.092
## 873            7.9            0.690        0.21           2.10     0.080
## 874            6.7            0.640        0.23           2.10     0.080
## 875            6.8            0.600        0.18           1.90     0.079
## 876            7.7            0.570        0.21           1.50     0.069
## 877            8.3            0.310        0.39           2.40     0.078
## 878            7.2            0.480        0.07           5.50     0.089
## 879           12.5            0.460        0.63           2.00     0.071
## 880            8.8            0.400        0.40           2.20     0.079
## 881            7.5            0.420        0.32           2.70     0.067
## 882            6.5            0.390        0.23           8.30     0.051
## 883            7.4            0.680        0.16           1.80     0.078
## 884            9.2            0.560        0.18           1.60     0.078
## 885           11.9            0.580        0.66           2.50     0.072
## 886            7.6            0.950        0.03           2.00     0.090
## 887            8.4            0.665        0.61           2.00     0.112
## 888            7.5            0.630        0.12           5.10     0.111
## 889            7.7            0.665        0.00           2.40     0.090
## 890            7.5            0.520        0.16           1.90     0.085
## 891            7.2            0.580        0.54           2.10     0.114
## 892            9.3            0.360        0.39           1.50     0.080
## 893            8.2            0.380        0.32           2.50     0.080
## 894            7.3            0.735        0.00           2.20     0.080
## 895            8.0            0.580        0.16           2.00     0.120
## 896            6.9            0.440        0.00           1.40     0.070
## 897            6.7            0.280        0.28           2.40     0.012
## 898            5.0            0.400        0.50           4.30     0.046
## 899            8.1            0.575        0.22           2.10     0.077
## 900            7.9            0.720        0.17           2.60     0.096
## 901            7.3            0.450        0.36           5.90     0.074
## 902            8.6            0.490        0.28           1.90     0.110
## 903            8.7            0.410        0.41           6.20     0.078
## 904            9.0            0.400        0.43           2.40     0.068
## 905           10.5            0.360        0.47           2.20     0.074
## 906           10.3            0.320        0.45           6.40     0.073
## 907           10.6            0.420        0.48           2.70     0.065
## 908            8.0            0.480        0.34           2.20     0.073
## 909           12.6            0.310        0.72           2.20     0.072
## 910           11.1            0.350        0.48           3.10     0.090
## 911            8.6            0.520        0.38           1.50     0.096
## 912            7.4            0.635        0.10           2.40     0.080
## 913            8.1            0.660        0.22           2.20     0.069
## 914            7.9            0.310        0.32           1.90     0.066
## 915           11.2            0.670        0.55           2.30     0.084
## 916           12.3            0.500        0.49           2.20     0.089
## 917            7.0            0.550        0.13           2.20     0.075
## 918            9.0            0.540        0.49           2.90     0.094
## 919            7.8            0.580        0.02           2.00     0.073
## 920            7.9            0.430        0.21           1.60     0.106
## 921           10.3            0.530        0.48           2.50     0.063
## 922            5.8            0.610        0.11           1.80     0.066
## 923            8.1            0.725        0.22           2.20     0.072
## 924            9.0            0.460        0.31           2.80     0.093
## 925            7.0            0.540        0.09           2.00     0.081
## 926            7.2            0.660        0.03           2.30     0.078
## 927            8.4            0.560        0.08           2.10     0.105
## 928            6.2            0.640        0.09           2.50     0.081
## 929            7.4            0.470        0.46           2.20     0.114
## 930            6.5            0.460        0.14           2.40     0.114
## 931            7.6            0.620        0.32           2.20     0.082
## 932            8.8            0.700        0.00           1.70     0.069
## 933            5.6            0.540        0.04           1.70     0.049
## 934            7.6            0.490        0.33           1.90     0.074
## 935            8.4            0.745        0.11           1.90     0.090
## 936            7.5            0.630        0.27           2.00     0.083
## 937            7.6            0.480        0.31           2.80     0.070
## 938            8.0            0.640        0.22           2.40     0.094
## 939            7.9            0.720        0.01           1.90     0.076
## 940            7.1            0.430        0.17           1.80     0.082
## 941            8.3            0.625        0.20           1.50     0.080
## 942           12.5            0.370        0.55           2.60     0.083
## 943            6.8            0.590        0.10           1.70     0.063
## 944            8.8            0.660        0.26           1.70     0.074
## 945            9.0            0.785        0.24           1.70     0.078
## 946            7.7            0.690        0.49           1.80     0.115
## 947            6.6            0.610        0.00           1.60     0.069
## 948            7.1            0.220        0.49           1.80     0.039
## 949           11.7            0.450        0.63           2.20     0.073
## 950            8.2            0.260        0.34           2.50     0.073
## 951            7.0            0.600        0.12           2.20     0.083
## 952           11.5            0.315        0.54           2.10     0.084
## 953            7.4            0.350        0.33           2.40     0.068
## 954            6.6            0.895        0.04           2.30     0.068
## 955            8.3            0.600        0.25           2.20     0.118
## 956            8.0            0.715        0.22           2.30     0.075
## 957            9.3            0.610        0.26           3.40     0.090
## 958            8.3            0.540        0.28           1.90     0.077
## 959            5.3            0.570        0.01           1.70     0.054
## 960            5.7            0.600        0.00           1.40     0.063
## 961            7.5            0.610        0.26           1.90     0.073
## 962            7.1            0.630        0.06           2.00     0.083
## 963            8.2            0.400        0.44           2.80     0.089
## 964            6.4            0.560        0.15           1.80     0.078
## 965            6.4            0.795        0.00           2.20     0.065
## 966            6.8            0.560        0.22           1.80     0.074
## 967           10.3            0.410        0.42           2.40     0.213
## 968            6.6            0.440        0.09           2.20     0.063
## 969            8.0            0.420        0.32           2.50     0.080
## 970            7.0            0.220        0.30           1.80     0.065
## 971            7.0            0.570        0.02           2.00     0.072
## 972            9.9            0.500        0.24           2.30     0.103
## 973            8.9            0.120        0.45           1.80     0.075
## 974           12.5            0.560        0.49           2.40     0.064
## 975            8.3            0.260        0.42           2.00     0.080
## 976           10.5            0.510        0.64           2.40     0.107
## 977            9.2            0.580        0.20           3.00     0.081
## 978           12.8            0.615        0.66           5.80     0.083
## 979            7.2            0.725        0.05           4.65     0.086
## 980            7.3            0.480        0.32           2.10     0.062
## 981            8.8            0.550        0.04           2.20     0.119
## 982            9.0            0.620        0.04           1.90     0.146
## 983           10.0            0.690        0.11           1.40     0.084
## 984            6.4            0.310        0.09           1.40     0.066
## 985           12.3            0.270        0.49           3.10     0.079
## 986            7.2            0.330        0.33           1.70     0.061
## 987            9.7            0.420        0.46           2.10     0.074
## 988           10.9            0.530        0.49           4.60     0.118
## 989            9.6            0.320        0.47           1.40     0.056
## 990            7.3            0.730        0.24           1.90     0.108
## 991            7.2            0.410        0.30           2.10     0.083
## 992           11.1            0.310        0.53           2.20     0.060
## 993            6.8            0.690        0.00           5.60     0.124
## 994            7.6            0.360        0.31           1.70     0.079
## 995            8.4            0.620        0.09           2.20     0.084
## 996           10.4            0.440        0.73           6.55     0.074
## 997           10.1            0.380        0.50           2.40     0.104
## 998           11.1            0.450        0.73           3.20     0.066
## 999           11.2            0.500        0.74           5.15     0.100
## 1000           7.6            0.390        0.31           2.30     0.082
## 1001           7.1            0.590        0.00           2.20     0.078
## 1002           9.1            0.660        0.15           3.20     0.097
## 1003           7.8            0.590        0.33           2.00     0.074
## 1004           7.0            0.420        0.35           1.60     0.088
## 1005           8.4            0.360        0.32           2.20     0.081
## 1006           7.8            0.610        0.29           1.60     0.114
## 1007           6.3            1.020        0.00           2.00     0.083
## 1008           9.1            0.760        0.68           1.70     0.414
## 1009          10.4            0.240        0.49           1.80     0.075
## 1010          10.4            0.640        0.24           2.80     0.105
## 1011           8.4            0.715        0.20           2.40     0.076
## 1012          11.5            0.540        0.71           4.40     0.124
## 1013           7.6            0.410        0.49           2.00     0.088
## 1014           6.6            0.580        0.02           2.40     0.069
## 1015          11.9            0.570        0.50           2.60     0.082
## 1016          11.9            0.695        0.53           3.40     0.128
## 1017           7.0            0.690        0.07           2.50     0.091
## 1018           7.5            0.610        0.20           1.70     0.076
## 1019           6.4            0.640        0.21           1.80     0.081
## 1020           8.2            0.280        0.40           2.40     0.052
## 1021           7.6            0.520        0.12           3.00     0.067
## 1022          10.7            0.430        0.39           2.20     0.106
## 1023           8.7            0.690        0.31           3.00     0.086
## 1024          10.0            0.490        0.20          11.00     0.071
## 1025          10.2            0.420        0.57           3.40     0.070
## 1026          11.3            0.360        0.66           2.40     0.123
## 1027           6.8            0.810        0.05           2.00     0.070
## 1028           8.8            0.240        0.35           1.70     0.055
## 1029           7.3            0.910        0.10           1.80     0.074
## 1030           7.9            0.600        0.06           1.60     0.069
## 1031           8.2            0.350        0.33           2.40     0.076
## 1032           8.7            0.700        0.24           2.50     0.226
## 1033          10.5            0.420        0.66           2.95     0.116
## 1034          11.0            0.300        0.58           2.10     0.054
## 1035          12.2            0.450        0.49           1.40     0.075
## 1036           8.9            0.590        0.39           2.30     0.095
## 1037           8.7            0.540        0.26           2.50     0.097
## 1038           8.2            0.740        0.09           2.00     0.067
## 1039           7.2            0.530        0.13           2.00     0.058
## 1040           9.9            0.540        0.45           2.30     0.071
## 1041           7.0            0.685        0.00           1.90     0.067
## 1042           7.8            0.630        0.48           1.70     0.100
## 1043           7.9            0.200        0.35           1.70     0.054
## 1044           8.8            0.300        0.38           2.30     0.060
## 1045           7.5            0.770        0.20           8.10     0.098
## 1046           8.1            0.820        0.00           4.10     0.095
## 1047           9.9            0.540        0.45           2.30     0.071
## 1048          12.5            0.380        0.60           2.60     0.081
## 1049          13.0            0.470        0.49           4.30     0.085
## 1050           5.7            1.130        0.09           1.50     0.172
## 1051           7.4            1.185        0.00           4.25     0.097
## 1052           7.3            0.320        0.23           2.30     0.066
## 1053           6.2            0.460        0.29           2.10     0.074
## 1054           8.2            0.330        0.32           2.80     0.067
## 1055          11.5            0.180        0.51           4.00     0.104
## 1056          13.7            0.415        0.68           2.90     0.085
## 1057           6.2            0.450        0.20           1.60     0.069
## 1058           9.2            0.755        0.18           2.20     0.148
## 1059           7.4            0.640        0.07           1.80     0.100
## 1060           8.0            0.810        0.25           3.40     0.076
## 1061           7.9            0.400        0.30           1.80     0.157
## 1062           6.8            0.785        0.00           2.40     0.104
## 1063           8.4            0.745        0.11           1.90     0.090
## 1064           5.2            0.320        0.25           1.80     0.103
## 1065           6.8            0.830        0.09           1.80     0.074
## 1066           6.6            0.500        0.01           1.50     0.060
## 1067           7.5            0.600        0.03           1.80     0.095
## 1068           8.9            0.750        0.14           2.50     0.086
## 1069          13.2            0.460        0.52           2.20     0.071
## 1070           9.9            0.720        0.55           1.70     0.136
## 1071           6.7            0.580        0.08           1.80     0.097
## 1072          11.5            0.450        0.50           3.00     0.078
## 1073           7.5            0.510        0.02           1.70     0.084
## 1074          10.9            0.390        0.47           1.80     0.118
## 1075           8.8            0.550        0.04           2.20     0.119
## 1076           6.3            0.550        0.15           1.80     0.077
## 1077           5.9            0.610        0.08           2.10     0.071
## 1078          12.0            0.280        0.49           1.90     0.074
## 1079           6.0            0.310        0.47           3.60     0.067
## 1080           6.8            0.590        0.10           1.70     0.063
## 1081           6.5            0.580        0.00           2.20     0.096
## 1082           9.1            0.360        0.39           1.80     0.060
## 1083          10.5            0.390        0.46           2.20     0.075
## 1084           7.2            0.695        0.13           2.00     0.076
## 1085           9.5            0.460        0.24           2.70     0.092
## 1086           7.7            1.005        0.15           2.10     0.102
## 1087           7.9            0.320        0.51           1.80     0.341
## 1088          10.2            0.360        0.64           2.90     0.122
## 1089          11.1            0.310        0.49           2.70     0.094
## 1090          10.6            0.280        0.39          15.50     0.069
## 1091          10.0            0.580        0.22           1.90     0.080
## 1092           8.3            0.490        0.36           1.80     0.222
## 1093           6.6            0.705        0.07           1.60     0.076
## 1094          10.3            0.270        0.56           1.40     0.047
## 1095           7.2            0.620        0.06           2.70     0.077
## 1096           6.8            0.560        0.03           1.70     0.084
## 1097           6.6            0.855        0.02           2.40     0.062
## 1098           9.3            0.480        0.29           2.10     0.127
## 1099           9.8            0.660        0.39           3.20     0.083
## 1100           7.9            0.510        0.25           2.90     0.077
## 1101           7.2            0.350        0.26           1.80     0.083
## 1102           7.2            0.655        0.03           1.80     0.078
## 1103          12.5            0.280        0.54           2.30     0.082
## 1104           9.0            0.400        0.41           2.00     0.058
## 1105           7.5            0.705        0.24           1.80     0.360
## 1106           7.6            0.490        0.33           1.90     0.074
## 1107           8.7            0.420        0.45           2.40     0.072
## 1108           8.9            0.120        0.45           1.80     0.075
## 1109           7.8            0.600        0.26           2.00     0.080
## 1110           6.6            0.580        0.02           2.00     0.062
## 1111           9.1            0.300        0.41           2.00     0.068
## 1112          12.7            0.590        0.45           2.30     0.082
## 1113           8.7            0.675        0.10           1.60     0.090
## 1114           9.1            0.795        0.00           2.60     0.096
## 1115          11.5            0.590        0.59           2.60     0.087
## 1116           6.6            0.630        0.00           4.30     0.093
## 1117           6.7            0.420        0.27           8.60     0.068
## 1118           8.2            0.780        0.00           2.20     0.089
## 1119           5.3            0.470        0.11           2.20     0.048
## 1120           7.7            0.490        0.26           1.90     0.062
## 1121           9.0            0.450        0.49           2.60     0.084
## 1122           7.7            0.430        0.25           2.60     0.073
## 1123           6.7            0.700        0.08           3.75     0.067
## 1124           9.3            0.490        0.36           1.70     0.081
## 1125           8.9            0.320        0.31           2.00     0.088
## 1126          10.7            0.350        0.53           2.60     0.070
## 1127           8.3            0.780        0.10           2.60     0.081
## 1128           6.2            0.785        0.00           2.10     0.060
## 1129           5.8            0.680        0.02           1.80     0.087
## 1130           8.1            0.330        0.44           1.50     0.042
## 1131           7.5            0.270        0.34           2.30     0.050
## 1132           7.1            0.685        0.35           2.00     0.088
## 1133           6.1            0.380        0.15           1.80     0.072
## 1134           8.1            0.380        0.28           2.10     0.066
## 1135           6.6            0.800        0.03           7.80     0.079
## 1136          10.7            0.430        0.39           2.20     0.106
## 1137          11.5            0.350        0.49           3.30     0.070
## 1138           7.0            0.685        0.00           1.90     0.099
## 1139           8.9            0.595        0.41           7.90     0.086
## 1140           8.3            0.260        0.42           2.00     0.080
## 1141           7.7            0.260        0.30           1.70     0.059
## 1142          10.1            0.370        0.34           2.40     0.085
## 1143           7.2            0.660        0.03           2.30     0.078
## 1144           6.1            0.590        0.01           2.10     0.056
## 1145           9.7            0.320        0.54           2.50     0.094
## 1146           6.2            0.430        0.22           1.80     0.078
## 1147           7.6            0.420        0.08           2.70     0.084
## 1148          11.8            0.260        0.52           1.80     0.071
## 1149           9.7            0.660        0.34           2.60     0.094
## 1150           7.2            0.630        0.00           1.90     0.097
## 1151           8.9            0.480        0.24           2.85     0.094
## 1152           7.7            0.510        0.28           2.10     0.087
## 1153          10.6            0.340        0.49           3.20     0.078
## 1154           6.2            0.360        0.24           2.20     0.095
## 1155           6.9            0.570        0.00           2.80     0.081
## 1156           7.7            0.490        0.26           1.90     0.062
## 1157           7.2            0.520        0.07           1.40     0.074
## 1158           7.7            0.600        0.06           2.00     0.079
## 1159           7.1            0.310        0.30           2.20     0.053
## 1160           7.7            0.570        0.21           1.50     0.069
## 1161           9.0            0.820        0.14           2.60     0.089
## 1162           9.8            0.500        0.34           2.30     0.094
## 1163          12.7            0.600        0.49           2.80     0.075
## 1164           7.5            0.600        0.03           1.80     0.095
## 1165           6.4            0.380        0.14           2.20     0.038
## 1166           6.9            0.740        0.03           2.30     0.054
## 1167           9.2            0.530        0.24           2.60     0.078
## 1168           8.2            0.280        0.60           3.00     0.104
## 1169           7.6            1.580        0.00           2.10     0.137
## 1170           9.9            0.500        0.50          13.80     0.205
## 1171           7.6            0.790        0.21           2.30     0.087
## 1172           7.7            0.630        0.08           1.90     0.076
## 1173           8.7            0.540        0.26           2.50     0.097
## 1174           7.9            0.490        0.32           1.90     0.082
## 1175           6.9            0.630        0.02           1.90     0.078
## 1176           7.1            0.530        0.07           1.70     0.071
## 1177           9.9            0.350        0.41           2.30     0.083
## 1178           8.7            0.290        0.52           1.60     0.113
## 1179           7.7            0.705        0.10           2.60     0.084
## 1180          12.2            0.480        0.54           2.60     0.085
## 1181           6.6            0.725        0.09           5.50     0.117
## 1182           7.6            0.360        0.31           1.70     0.079
## 1183           6.2            0.520        0.08           4.40     0.071
## 1184           8.9            0.350        0.40           3.60     0.110
## 1185           7.2            0.620        0.06           2.70     0.077
## 1186           6.5            0.885        0.00           2.30     0.166
## 1187           5.6            0.310        0.78          13.90     0.074
## 1188           8.6            0.330        0.40           2.60     0.083
## 1189           8.5            0.460        0.31           2.25     0.078
## 1190           7.0            0.400        0.32           3.60     0.061
## 1191          10.3            0.590        0.42           2.80     0.090
## 1192           8.7            0.520        0.09           2.50     0.091
## 1193           6.6            0.735        0.02           7.90     0.122
## 1194           7.3            0.380        0.21           2.00     0.080
## 1195           5.0            0.380        0.01           1.60     0.048
## 1196           8.3            0.580        0.13           2.90     0.096
## 1197          10.3            0.430        0.44           2.40     0.214
## 1198           8.6            0.470        0.47           2.40     0.074
## 1199           5.0            1.020        0.04           1.40     0.045
##      free sulfur dioxide total sulfur dioxide density   pH sulphates  alcohol
## 1                    9.0                 38.0 0.99616 3.15      0.53  9.80000
## 2                   25.0                 48.0 0.99810 3.14      0.56  9.70000
## 3                   31.0                 67.0 0.99668 3.26      0.46  9.20000
## 4                   12.0                 32.0 0.99735 3.36      0.61 10.00000
## 5                   35.0                 72.0 0.99700 3.44      0.52  9.40000
## 6                   18.0                 30.0 0.99402 3.45      0.54 11.20000
## 7                   13.0                 49.0 0.99880 3.18      0.65 11.00000
## 8                   10.0                 22.0 0.99828 3.39      0.68 10.60000
## 9                    5.0                 14.0 0.99476 3.21      1.03 11.60000
## 10                  13.0                 38.0 0.99980 3.28      0.59  9.70000
## 11                   4.0                 23.0 0.99960 3.28      0.97 10.10000
## 12                  31.0                 70.0 0.99685 3.42      0.59  9.50000
## 13                  14.0                 23.0 0.99760 3.35      0.61 11.30000
## 14                   9.0                 15.0 0.99514 3.35      0.58 11.00000
## 15                  17.0                 32.0 0.99686 3.15      0.67 10.60000
## 16                  24.0                 64.0 0.99350 3.38      0.57 11.70000
## 17                  52.0                145.0 0.99860 3.16      0.88  9.20000
## 18                   4.0                 11.0 0.99608 3.39      0.52 10.00000
## 19                   5.0                 12.0 0.99580 3.54      0.60 11.20000
## 20                  21.0                 40.0 0.99680 3.43      0.63  9.70000
## 21                  23.0                 99.0 1.00289 3.22      0.68  9.30000
## 22                  14.0                 24.0 0.99428 3.45      0.87 11.20000
## 23                  12.0                 18.0 0.99568 3.32      0.56 10.50000
## 24                  30.0                119.0 0.99700 3.20      0.56  9.40000
## 25                  18.0                 88.0 0.99157 3.68      0.73 13.60000
## 26                  14.0                 45.0 0.99800 3.19      0.73 10.00000
## 27                   5.0                 13.0 0.99800 3.28      0.83 11.50000
## 28                  18.0                 30.0 0.99712 3.40      0.75  9.80000
## 29                  52.0                 98.0 0.99736 3.28      0.50  9.50000
## 30                   3.0                 10.0 0.99698 3.12      0.59  9.50000
## 31                   1.0                 28.0 0.99900 3.41      0.87 10.30000
## 32                   6.0                 18.0 0.99720 3.29      0.61  9.20000
## 33                   6.0                 28.0 0.99704 3.07      0.65 10.03333
## 34                  15.0                 55.0 0.99680 3.46      0.59 10.20000
## 35                  17.0                 99.0 0.99370 3.63      0.63 13.00000
## 36                   8.0                 25.0 0.99720 3.47      0.67  9.50000
## 37                  23.0                113.0 0.99733 3.13      0.48  9.20000
## 38                  36.0                 48.0 0.99520 3.20      0.58  9.80000
## 39                   7.0                 13.0 0.99658 3.30      0.62 12.10000
## 40                   6.0                 15.0 0.99880 2.94      0.66  9.20000
## 41                  25.0                 45.0 0.99780 3.34      0.53  9.50000
## 42                  10.0                 20.0 0.99730 3.34      0.79 12.20000
## 43                  33.0                 76.0 0.99878 3.14      0.55  9.40000
## 44                  21.0                 31.0 0.99629 3.45      0.63 10.30000
## 45                  21.0                 73.0 0.99700 3.36      0.57  9.10000
## 46                  17.0                106.0 0.99320 3.85      0.60 12.90000
## 47                  45.0                 88.0 0.99524 3.33      0.76 11.80000
## 48                   5.0                 18.0 0.99666 3.20      0.52  9.40000
## 49                   5.0                 11.0 0.99840 3.37      0.69 10.10000
## 50                  16.0                 24.0 0.99376 3.56      0.77 11.10000
## 51                   7.0                 12.0 0.99354 3.25      0.55 12.30000
## 52                  10.0                 22.0 0.99760 3.22      0.44  9.60000
## 53                   8.0                 17.0 0.99774 3.32      0.71 10.50000
## 54                  16.0                 29.0 0.99620 3.21      0.49 10.20000
## 55                  14.0                 28.0 0.99516 3.18      0.80 11.20000
## 56                   6.0                 18.0 0.99620 3.20      1.13 12.00000
## 57                  11.0                 28.0 0.99940 3.36      0.86  9.40000
## 58                  20.0                 47.0 0.99880 3.26      0.67  9.60000
## 59                   5.0                 16.0 0.99940 3.16      0.63  8.40000
## 60                  12.0                 49.0 0.99625 3.37      0.52  9.90000
## 61                  27.0                 55.0 0.99620 3.31      0.63 11.00000
## 62                   6.0                 19.0 0.99860 3.12      0.82  9.30000
## 63                  28.0                 89.0 0.99840 3.22      0.68 10.00000
## 64                   6.0                 14.0 0.99555 3.51      0.69 11.00000
## 65                   6.0                 18.0 0.99620 3.20      1.13 12.00000
## 66                  25.0                 60.0 0.99638 3.29      0.75 10.90000
## 67                   6.0                 20.0 0.99772 3.15      0.50 10.50000
## 68                  21.0                119.0 0.99800 3.09      0.52  9.30000
## 69                   3.0                  8.0 0.99642 3.20      0.53 11.90000
## 70                  16.0                 37.0 0.99720 3.31      0.58 10.70000
## 71                   3.0                 12.0 0.99745 3.31      0.65  9.55000
## 72                   5.0                 13.0 0.99420 3.72      0.58 11.40000
## 73                   5.0                 18.0 0.99860 3.40      0.55  9.60000
## 74                  11.0                 41.0 0.99439 3.52      0.80 12.40000
## 75                   5.0                 16.0 0.99358 3.15      0.81 12.50000
## 76                  15.0                105.0 0.99600 3.27      0.54  9.40000
## 77                  30.0                 45.0 0.99590 3.26      0.58 10.00000
## 78                  14.0                 25.0 0.99388 3.35      0.63 12.00000
## 79                  27.0                 60.0 0.99630 3.28      0.59  9.80000
## 80                  32.0                151.0 0.99800 3.15      0.53  9.50000
## 81                  12.0                 19.0 0.99434 3.14      0.71 11.80000
## 82                  36.0                 51.0 0.99836 3.38      0.86  9.90000
## 83                  11.0                 18.0 0.99620 3.41      0.59 10.80000
## 84                   7.0                 28.0 0.99700 3.37      0.50  9.40000
## 85                  18.0                 82.0 0.99708 3.33      0.68  9.70000
## 86                   7.0                 14.0 0.99517 3.40      0.58 10.90000
## 87                  17.0                 40.0 0.99803 3.29      0.55  9.50000
## 88                  17.0                 46.0 0.99760 3.26      0.51  9.30000
## 89                   5.0                 28.0 0.99880 3.14      0.60 10.20000
## 90                  10.0                 42.0 0.99690 3.19      0.59  9.50000
## 91                  22.0                 54.0 0.99960 3.15      0.89  9.90000
## 92                  14.0                 33.0 0.99965 3.36      0.80 10.50000
## 93                   6.0                 18.0 0.99720 3.29      0.61  9.20000
## 94                   8.0                 25.0 0.99746 3.69      0.73 10.50000
## 95                  16.0                 37.0 0.99850 3.22      0.78 10.00000
## 96                   5.0                 10.0 0.99419 3.27      0.54 11.20000
## 97                  35.0                103.0 0.99690 3.30      0.75 10.50000
## 98                  12.0                 57.0 0.99780 3.30      0.47  9.00000
## 99                  39.0                145.0 0.99750 3.04      1.03  9.30000
## 100                 13.0                 27.0 0.99516 3.26      0.84 11.70000
## 101                  5.0                  9.0 0.99632 3.38      0.55 10.90000
## 102                  3.0                  9.0 0.99901 3.18      0.60 10.90000
## 103                 25.0                 49.0 0.99970 3.10      0.76 10.30000
## 104                 36.0                109.0 0.99007 2.89      0.44 12.70000
## 105                 14.0                104.0 0.99760 3.28      0.62  9.40000
## 106                  8.0                 19.0 0.99620 3.34      0.95 10.50000
## 107                 28.0                 90.0 0.99784 3.15      0.57  9.10000
## 108                 11.0                 63.0 0.99652 3.29      0.48  9.80000
## 109                 26.0                 62.0 0.99940 3.18      0.63 10.20000
## 110                  6.0                 25.0 0.99970 3.03      0.57  9.90000
## 111                 11.0                 37.0 0.99790 3.43      0.76  9.70000
## 112                 29.0                 55.0 1.00010 3.26      0.88 11.00000
## 113                 27.0                 90.0 0.99914 3.15      0.65  8.50000
## 114                 10.0                 89.0 0.99620 3.30      0.57  9.00000
## 115                 17.0                 42.0 0.99720 3.31      0.54  9.60000
## 116                 40.0                 64.0 0.99529 3.12      0.49  9.60000
## 117                  7.0                 11.0 0.99331 3.29      0.52 11.50000
## 118                  6.0                 24.0 0.99880 3.11      0.99 13.30000
## 119                  6.0                 15.0 0.99524 3.30      0.74 11.80000
## 120                 13.0                 50.0 1.00150 3.16      0.69  9.20000
## 121                 13.0                 26.0 0.99547 3.38      0.64  9.80000
## 122                 15.0                 38.0 0.99634 3.01      1.10  9.40000
## 123                 10.0                 19.0 0.99660 3.39      0.47  9.60000
## 124                 12.0                 78.0 0.99640 3.39      0.71 11.00000
## 125                 26.0                 48.0 0.99661 3.47      0.77  9.70000
## 126                  8.0                 15.0 0.99498 3.35      0.62 10.40000
## 127                 17.0                 31.0 0.99640 3.33      0.56 10.00000
## 128                  4.0                  8.0 0.99720 3.36      0.33  9.10000
## 129                  6.0                 12.0 0.99408 3.26      0.62 12.40000
## 130                 10.0                 79.0 0.99677 3.29      0.69  9.50000
## 131                 11.0                 23.0 0.99550 3.34      0.56  9.30000
## 132                 16.0                 34.0 0.99720 3.47      0.70  9.90000
## 133                 23.0                143.0 0.99780 3.28      0.55  9.40000
## 134                 29.0                 58.0 0.99740 3.31      0.64 10.30000
## 135                 15.0                 64.0 0.99588 3.22      0.59  9.50000
## 136                 11.0                 44.0 0.99888 3.31      0.55  9.50000
## 137                 18.0                 69.0 0.99730 3.08      1.31  9.30000
## 138                 31.0                131.0 0.99622 3.21      0.52  9.90000
## 139                  7.0                 15.0 0.99730 3.22      0.64 10.10000
## 140                 15.0                 39.0 0.99577 3.53      0.54 11.10000
## 141                  5.0                 14.0 1.00020 3.19      0.44  9.60000
## 142                 20.0                 27.0 0.99546 3.15      0.69 11.20000
## 143                 17.0                102.0 0.99780 3.35      0.80 10.50000
## 144                 11.0                 24.0 1.00000 3.16      0.69  9.00000
## 145                 10.0                 42.0 0.99690 3.19      0.59  9.50000
## 146                 19.0                 25.0 0.99258 3.56      0.55 12.90000
## 147                 21.0                 51.0 0.99668 3.47      0.55  9.50000
## 148                 29.0                 65.0 0.99880 3.28      0.58  9.60000
## 149                  6.0                 14.0 0.99780 3.05      0.74 11.50000
## 150                  7.0                 12.0 0.99162 3.47      0.53 12.90000
## 151                 18.0                 49.0 0.99940 3.43      0.72 11.10000
## 152                 36.0                 46.0 0.99522 3.53      0.57 10.60000
## 153                  6.0                 12.0 0.99600 3.55      0.63  9.95000
## 154                  5.0                 14.0 0.99870 3.29      0.52 10.70000
## 155                 21.0                 68.0 0.99920 3.46      0.63  9.50000
## 156                 46.0                102.0 0.99640 3.27      0.58  9.50000
## 157                  9.0                 30.0 0.99780 3.24      0.60  9.30000
## 158                 29.0                 56.0 0.99577 3.15      0.79 12.10000
## 159                  6.0                 24.0 0.99925 3.14      0.71 10.90000
## 160                 32.0                 71.0 1.00015 3.31      0.71  9.80000
## 161                  7.0                 23.0 0.99640 3.35      0.65 10.20000
## 162                 13.0                 81.0 0.99688 3.24      0.54  9.50000
## 163                 28.0                 54.0 0.99560 3.37      0.64 10.40000
## 164                 30.0                 69.0 0.99787 3.22      0.50 10.00000
## 165                 14.0                 47.0 0.99910 3.30      0.56  9.60000
## 166                 23.0                 94.0 0.99686 3.21      0.58  9.50000
## 167                 10.0                 26.0 0.99680 3.16      0.78 12.50000
## 168                 20.0                 38.0 0.99818 3.24      0.71 10.80000
## 169                 28.0                 71.0 0.99970 3.50      0.57  9.70000
## 170                 18.0                 29.0 0.99650 3.32      0.60 10.00000
## 171                 24.0                 37.0 0.99514 3.40      0.61 10.90000
## 172                 35.0                 67.0 1.00020 3.32      0.92 10.80000
## 173                 16.0                 86.0 0.99764 3.34      0.64  9.50000
## 174                 22.0                 41.0 0.99735 3.02      0.76  9.90000
## 175                  6.0                 20.0 0.99676 3.14      0.72 11.10000
## 176                  5.0                 77.0 0.99747 3.13      0.62  9.10000
## 177                 12.0                 18.0 0.99568 3.32      0.56 10.50000
## 178                 21.0                 50.0 0.99820 3.37      0.91  9.90000
## 179                  8.0                 20.0 0.99603 3.39      0.60 10.50000
## 180                 14.0                 67.0 0.99720 3.34      0.55  9.20000
## 181                  5.0                 22.0 0.99980 3.26      0.74 11.20000
## 182                  6.0                 31.0 0.99840 3.19      0.70 10.10000
## 183                  6.0                 11.0 0.99892 3.48      0.49 11.00000
## 184                  3.0                 10.0 0.99636 3.35      0.60  9.70000
## 185                 47.0                133.0 0.99790 3.38      0.99  9.80000
## 186                  6.0                 35.0 0.99396 3.29      0.71 11.00000
## 187                 19.0                 58.0 0.99910 3.18      0.56 10.10000
## 188                  5.0                 12.0 0.99605 3.36      0.55 11.40000
## 189                 19.0                 98.0 0.99713 3.16      0.52  9.60000
## 190                  5.0                 14.0 0.99502 3.32      0.62 11.50000
## 191                 34.0                124.0 0.99560 3.44      0.48 10.50000
## 192                 23.0                 42.0 0.99800 2.92      0.68 10.50000
## 193                 15.0                 31.0 0.99660 3.15      0.57 11.00000
## 194                 16.0                 46.0 0.99258 4.01      0.59 12.50000
## 195                 25.0                 36.0 0.99519 3.47      0.71 11.30000
## 196                 18.0                 34.0 0.99552 3.33      0.64  9.70000
## 197                 38.0                 67.0 0.99600 3.33      0.93 11.30000
## 198                  9.0                 23.0 0.99700 3.47      0.67  9.40000
## 199                  6.0                 23.0 0.99570 3.30      0.58 11.20000
## 200                  5.0                 12.0 0.99605 3.36      0.55 11.40000
## 201                 29.0                 38.0 0.99472 3.30      0.56 10.75000
## 202                 26.0                 46.0 0.99670 3.32      1.04 10.60000
## 203                  9.0                 23.0 0.99546 3.38      0.60 10.30000
## 204                 26.0                 55.0 0.99722 3.18      0.68 10.90000
## 205                 28.0                 65.0 0.99729 3.16      0.59  9.80000
## 206                  5.0                 13.0 0.99680 3.20      0.52  9.50000
## 207                 34.0                 68.0 0.99708 3.23      0.72 10.90000
## 208                 27.0                 58.0 0.99500 3.61      0.49 12.70000
## 209                 35.0                 70.0 0.99693 3.44      0.50  9.40000
## 210                 25.0                 57.0 0.99700 3.18      1.36 10.30000
## 211                  9.0                 39.0 0.99870 3.48      0.62  9.30000
## 212                 16.0                 34.0 0.99720 3.47      0.70  9.90000
## 213                 39.0                106.0 0.99660 3.36      0.78 11.00000
## 214                 34.0                 44.0 0.99494 3.10      0.43  9.30000
## 215                 13.0                 31.0 0.99538 3.36      0.54 10.50000
## 216                  9.0                 28.0 0.99810 3.24      0.65 10.80000
## 217                 38.0                 46.0 0.99504 3.38      0.89 11.80000
## 218                 22.0                 54.0 0.99960 3.15      0.89  9.90000
## 219                  6.0                 24.0 0.99940 3.04      0.60  9.30000
## 220                 18.0                 39.0 0.99859 3.29      0.81 10.90000
## 221                 14.0                 36.0 0.99614 3.23      0.49  9.30000
## 222                  7.0                 20.0 0.99960 3.24      0.76 10.40000
## 223                  5.0                 15.0 0.99880 3.36      0.49  9.10000
## 224                 24.0                 66.0 0.99785 3.39      0.61  9.40000
## 225                 17.0                 78.0 0.99346 3.68      0.73 11.40000
## 226                  9.0                 28.0 0.99940 3.20      0.77 10.80000
## 227                 11.0                 34.0 0.99780 3.51      0.56  9.40000
## 228                  6.0                 33.0 0.99740 3.09      0.57  9.40000
## 229                 28.0                128.0 0.99730 3.42      0.71 10.50000
## 230                 29.0                 66.0 0.99710 3.45      0.59  9.50000
## 231                 17.0                 35.0 0.99940 3.10      0.61 10.80000
## 232                 16.0                 49.0 0.99545 3.36      0.79  9.50000
## 233                 23.0                 43.0 0.99860 3.04      0.68 11.40000
## 234                 21.0                114.0 0.99730 3.22      0.54  9.40000
## 235                  9.0                 17.0 0.99376 3.21      0.54 12.30000
## 236                  6.0                 18.0 0.99790 3.30      0.71 10.50000
## 237                  6.0                113.0 0.99572 3.30      0.56 11.50000
## 238                 26.0                 72.0 0.99645 3.39      0.68 11.00000
## 239                 16.0                 32.0 0.99756 3.58      0.67 10.20000
## 240                  6.0                 14.0 0.99593 3.25      0.64 10.00000
## 241                 32.0                 44.0 0.99490 3.45      0.58 10.50000
## 242                 18.0                 47.0 0.99560 3.37      0.62 10.40000
## 243                 15.0                105.0 0.99620 3.33      0.54  9.50000
## 244                 12.0                 20.0 0.99474 3.26      0.64 11.80000
## 245                 17.0                 99.0 0.99370 3.63      0.63 13.00000
## 246                  6.0                 11.0 0.99585 3.23      0.52 12.00000
## 247                  5.0                 31.0 0.99930 3.67      0.80  9.70000
## 248                 15.0                 37.0 0.99730 3.35      0.86 12.80000
## 249                 11.0                 31.0 0.99615 3.33      0.86 12.00000
## 250                 23.0                 44.0 0.99656 3.38      0.79 11.10000
## 251                 12.0                 49.0 0.99680 3.21      0.57 10.00000
## 252                 20.0                 85.0 0.99746 3.55      0.59  9.80000
## 253                  5.0                 35.0 0.99738 3.25      0.42  9.60000
## 254                  5.0                 15.0 1.00000 3.19      0.43  9.20000
## 255                 18.0                 38.0 0.99518 3.16      0.85 11.10000
## 256                  3.0                 10.0 0.99639 3.27      0.64 12.20000
## 257                 42.0                 74.0 0.99451 2.98      0.63 11.80000
## 258                  6.0                 12.0 0.99521 3.36      0.59 11.00000
## 259                 10.0                 88.0 0.99680 3.11      0.80  9.30000
## 260                  5.0                 11.0 0.99580 3.33      0.53 10.30000
## 261                  3.0                 13.0 0.99800 3.49      0.52  9.20000
## 262                 19.0                 77.0 0.99510 3.15      0.79 10.90000
## 263                 19.0                 38.0 0.99900 3.35      0.60  9.30000
## 264                 22.0                 46.0 0.99880 3.32      0.67  9.70000
## 265                 32.0                 44.0 0.99547 3.57      0.71 10.20000
## 266                 28.0                104.0 0.99830 3.10      0.56  9.20000
## 267                 10.0                 24.0 1.00005 3.07      0.84  9.20000
## 268                 13.0                 38.0 0.99748 3.48      0.65  9.80000
## 269                  7.0                 34.0 0.99788 3.36      0.61 10.50000
## 270                  4.0                 11.0 0.99700 3.46      0.68  9.50000
## 271                  6.0                 32.0 0.99880 3.26      0.56 10.60000
## 272                 14.0                 31.0 0.99545 3.36      0.58 10.40000
## 273                  6.0                 19.0 0.99880 3.22      0.69 13.40000
## 274                  6.0                 12.0 0.99516 3.35      0.69 11.70000
## 275                 15.0                 28.0 0.99492 3.35      0.81 10.60000
## 276                 28.0                 38.0 0.99651 3.42      0.82  9.50000
## 277                  5.0                 20.0 0.99730 3.32      0.81  9.60000
## 278                 14.0                 24.0 0.99252 3.30      0.53 13.30000
## 279                  9.0                 28.0 0.99672 3.24      0.83 11.20000
## 280                 14.0                 31.0 0.99680 3.50      0.67 11.00000
## 281                 10.0                 18.0 0.99774 3.22      0.65  9.30000
## 282                  5.0                 20.0 0.99660 3.12      0.59  9.90000
## 283                  6.0                 18.0 1.00040 3.16      0.49  9.50000
## 284                 12.0                 69.0 0.99633 3.32      0.70 11.00000
## 285                  3.0                 11.0 0.99378 3.71      0.63 12.80000
## 286                  4.0                 23.0 0.99960 3.28      0.97 10.10000
## 287                  3.0                 15.0 0.99940 3.20      0.78  9.60000
## 288                 10.0                 28.0 0.99640 3.33      0.67 11.20000
## 289                 26.0                 88.0 0.99840 3.08      0.57 10.10000
## 290                 13.0                 33.0 0.99920 3.36      0.45  9.40000
## 291                 16.0                 29.0 0.99588 3.30      0.78 10.80000
## 292                  6.0                 16.0 0.99700 3.19      0.70 11.30000
## 293                  8.0                 38.0 0.99720 3.58      0.61 10.50000
## 294                 25.0                105.0 0.99613 3.30      0.49  9.90000
## 295                 18.0                 30.0 0.99400 3.29      0.69 11.20000
## 296                 13.0                 38.0 0.99748 3.48      0.65  9.80000
## 297                  9.0                 20.0 0.99650 3.17      1.08  9.20000
## 298                 12.0                 31.0 0.99761 3.52      0.72  9.60000
## 299                 12.0                 28.0 0.99486 3.27      0.75 12.60000
## 300                  6.0                 10.0 0.99724 3.33      0.87 10.90000
## 301                 24.0                 94.0 0.99744 3.55      0.53  9.70000
## 302                 32.0                 54.0 0.99586 3.51      0.66 11.30000
## 303                 30.0                134.0 0.99680 3.24      0.66  9.40000
## 304                 34.0                102.0 0.99414 3.27      0.78 12.80000
## 305                 13.0                100.0 0.99586 3.26      0.52  9.90000
## 306                 16.0                 74.0 0.99656 3.27      0.50  9.80000
## 307                 15.0                 26.0 0.99448 3.36      0.45  9.50000
## 308                 24.0                 69.0 0.99556 3.40      0.53 10.10000
## 309                 17.0                 38.0 0.99622 3.23      0.66 11.10000
## 310                 10.0                 37.0 0.99685 3.46      0.50 11.00000
## 311                 33.0                 85.0 0.99620 3.39      0.77 11.40000
## 312                 11.0                 34.0 0.99780 3.51      0.56  9.40000
## 313                 20.0                 49.0 0.99760 3.34      0.86 10.60000
## 314                 16.0                 61.0 0.99572 3.29      0.60  9.30000
## 315                 24.0                 64.0 0.99746 3.10      0.74  9.60000
## 316                 10.0                 21.0 0.99552 3.41      0.76 11.90000
## 317                 21.0                 39.0 0.99692 3.33      0.83 11.10000
## 318                 26.0                 85.0 0.99710 3.26      0.53  9.70000
## 319                 38.0                142.0 0.99780 3.22      0.55  9.40000
## 320                 12.0                 32.0 0.99689 3.58      0.66  9.80000
## 321                 26.0                 51.0 0.99456 3.38      0.72 11.80000
## 322                 52.0                 73.0 0.99786 3.47      0.90 10.20000
## 323                 37.0                 92.0 0.99960 3.30      0.65 10.10000
## 324                  5.0                 13.0 0.99760 3.05      0.74 10.50000
## 325                  6.0                 12.0 0.99551 3.56      0.51 10.80000
## 326                 10.0                 23.0 1.00315 2.92      0.74 11.10000
## 327                 12.0                 22.0 0.99690 3.48      0.50  9.30000
## 328                 18.0                 34.0 0.99480 3.39      0.60 10.60000
## 329                 17.0                104.0 0.99584 3.28      0.52  9.90000
## 330                  5.0                 12.0 0.99667 3.20      0.67 10.50000
## 331                 15.0                 26.0 0.99448 3.36      0.45  9.50000
## 332                 18.0                 95.0 0.99660 3.22      0.67  9.40000
## 333                 32.0                 55.0 0.99880 3.34      0.75  8.70000
## 334                 26.0                 46.0 0.99358 3.47      0.45 11.00000
## 335                  6.0                 18.0 0.99860 3.04      1.05  9.40000
## 336                 24.0                 70.0 0.99798 3.21      0.69 10.50000
## 337                  3.0                 14.0 0.99808 3.40      0.52 10.20000
## 338                  6.0                 23.0 0.99830 3.61      0.96  9.90000
## 339                 16.0                 23.0 0.99694 3.32      0.47  9.40000
## 340                  5.0                  9.0 0.99458 3.20      0.69 12.10000
## 341                 17.0                 31.0 0.99589 3.37      0.51 10.40000
## 342                  9.0                 42.0 0.99630 3.10      0.55  9.40000
## 343                 15.0                 34.0 0.99396 3.48      0.57 11.50000
## 344                 13.0                 19.0 0.99600 3.10      0.87 11.40000
## 345                 34.0                 64.0 0.99724 3.41      0.68 10.40000
## 346                 33.0                141.0 0.99620 3.25      0.51  9.90000
## 347                 14.0                 86.0 0.99264 3.56      0.94 12.90000
## 348                  8.0                 23.0 0.99740 3.26      0.70  9.60000
## 349                 27.0                 43.0 0.99578 3.44      0.64 10.90000
## 350                 18.0                 77.0 0.99922 3.15      0.51  9.40000
## 351                 10.0                 23.0 1.00000 3.15      0.85 10.40000
## 352                 12.0                 24.0 0.99798 3.38      0.46  9.60000
## 353                 48.0                 90.0 0.99621 3.38      0.62 10.80000
## 354                 11.0                 17.0 0.99588 3.53      0.65 10.40000
## 355                 14.0                 39.0 0.99522 3.34      0.53 10.80000
## 356                  6.0                 24.0 0.99840 3.31      0.59  9.20000
## 357                 12.0                 42.0 1.00040 3.16      0.61 10.30000
## 358                 34.0                 52.0 0.99760 3.62      0.68  9.90000
## 359                 17.0                 87.0 0.99745 3.48      0.60  9.70000
## 360                 33.0                 73.0 0.99550 3.17      0.63 10.20000
## 361                  9.0                 14.0 0.99488 3.42      0.55 11.50000
## 362                 12.0                 89.0 0.99630 3.04      0.90 10.10000
## 363                 32.0                 69.0 0.99960 2.74      2.00  9.40000
## 364                  6.0                 14.0 0.99750 3.30      0.52  9.30000
## 365                  7.0                 16.0 0.99462 3.21      0.69 12.50000
## 366                 21.0                 47.0 0.99632 3.29      0.45  9.40000
## 367                 43.0                113.0 0.99660 3.32      0.79 11.10000
## 368                  7.0                 11.0 0.99331 3.29      0.52 11.50000
## 369                  7.0                 11.0 0.99562 3.45      0.58 11.30000
## 370                  8.0                 22.0 0.99590 3.31      0.56 10.40000
## 371                  4.0                 14.0 0.99562 3.30      0.47 10.50000
## 372                 20.0                 49.0 0.99720 3.13      0.54  9.60000
## 373                 18.0                 36.0 0.99476 3.39      0.56 10.90000
## 374                 36.0                109.0 0.99007 2.89      0.44 12.70000
## 375                  9.0                104.0 0.99779 3.23      0.57  9.70000
## 376                 15.0                 28.0 0.99470 3.23      0.73 11.30000
## 377                  6.0                 10.0 0.99724 3.33      0.87 10.90000
## 378                 27.0                 45.0 0.99603 3.25      0.54 10.30000
## 379                 11.0                 19.0 0.99630 3.23      0.63 11.60000
## 380                 24.0                 32.0 0.99402 3.54      0.60 11.30000
## 381                 14.0                 27.0 0.99665 3.44      0.58 10.20000
## 382                 12.0                 31.0 0.99790 3.40      0.48  9.90000
## 383                  4.0                 15.0 0.99576 3.30      0.80 11.20000
## 384                  6.0                 26.0 0.99791 3.07      0.60 10.40000
## 385                 19.0                 27.0 0.99545 3.28      0.73 11.90000
## 386                 11.0                 65.0 1.00260 3.32      0.64 10.40000
## 387                 25.0                 52.0 0.99700 3.20      0.71 11.40000
## 388                 33.0                 88.0 0.99823 3.19      0.52  9.20000
## 389                 20.0                 49.0 0.99705 3.31      0.55  9.70000
## 390                  6.0                 21.0 1.00000 3.17      0.62  9.20000
## 391                  5.0                 12.0 0.99420 3.17      0.48  9.80000
## 392                 19.0                 58.0 1.00020 3.50      0.65  9.30000
## 393                 24.0                125.0 0.99840 3.31      0.61  9.40000
## 394                 12.0                 20.0 0.99546 3.29      0.54 10.10000
## 395                  6.0                 17.0 0.99704 3.27      0.77 10.80000
## 396                  7.0                 20.0 0.99566 3.14      0.79 11.10000
## 397                 57.0                135.0 0.99341 3.32      0.44  9.50000
## 398                 21.0                102.0 0.99600 3.39      0.48  9.50000
## 399                  6.0                 16.0 0.99480 3.35      0.70 12.50000
## 400                 14.0                 27.0 0.99592 3.30      0.59 10.40000
## 401                 17.0                 25.0 0.99814 3.38      0.72 10.60000
## 402                  4.0                 11.0 0.99620 3.41      0.39 10.90000
## 403                 15.0                 48.0 0.99502 3.12      0.48 10.00000
## 404                 10.0                 42.0 0.99710 3.18      0.62  9.50000
## 405                 15.0                 33.0 0.99292 3.58      0.59 12.50000
## 406                 20.0                110.0 0.99914 3.30      1.17 10.20000
## 407                  9.0                 23.0 0.99648 3.36      0.67 10.40000
## 408                  9.0                 22.0 0.99708 3.28      0.55  9.50000
## 409                 28.0                 48.0 0.99576 3.43      0.54 10.00000
## 410                 13.0                 93.0 0.99240 3.57      0.85 13.00000
## 411                 12.0                 53.0 0.99294 3.36      0.62 12.20000
## 412                 11.0                 65.0 0.99710 3.54      0.58  9.30000
## 413                 31.0                134.0 1.00140 3.32      1.07  9.30000
## 414                 15.0                 60.0 0.99550 3.36      0.44 10.90000
## 415                 18.0                 38.0 0.99553 3.30      0.65  9.60000
## 416                 14.0                 57.0 0.99690 3.37      0.46 10.30000
## 417                 38.0                106.0 0.99820 3.08      0.59  9.10000
## 418                 40.5                165.0 0.99120 3.25      0.59 11.90000
## 419                 27.0                 33.0 0.99220 3.45      0.48 12.30000
## 420                  5.0                 14.0 1.00100 3.25      0.74 11.90000
## 421                  4.0                 18.0 0.99682 3.26      0.57  9.90000
## 422                 17.0                 60.0 0.99800 3.16      0.58  9.80000
## 423                 34.0                 66.0 0.99726 3.15      0.58  9.80000
## 424                 12.0                 72.0 0.99590 3.05      0.63  9.20000
## 425                 24.0                 58.0 0.99640 3.34      0.59  9.40000
## 426                  5.0                 30.0 0.99670 3.20      0.48  9.80000
## 427                 29.0                 44.0 0.99489 3.38      0.83 10.30000
## 428                  5.0                 15.0 0.99910 3.32      0.60  9.00000
## 429                  5.0                 13.0 0.99659 3.15      0.75 10.50000
## 430                 27.0                 66.0 0.99820 3.17      0.76 10.80000
## 431                 21.0                122.0 0.99840 3.32      0.62  9.40000
## 432                  3.0                  8.0 0.99600 3.41      0.47 10.30000
## 433                 29.0                 40.0 0.99574 3.42      0.75 11.00000
## 434                 13.0                 49.0 0.99620 3.14      0.57 11.00000
## 435                  4.0                 10.0 0.99554 3.12      0.48  9.10000
## 436                 15.0                 26.0 0.99448 3.36      0.45  9.50000
## 437                  4.0                 12.0 0.99702 3.26      0.86  9.20000
## 438                  8.0                 23.0 0.99740 3.26      0.70  9.60000
## 439                 24.0                 37.0 0.99514 3.40      0.61 10.90000
## 440                 13.0                 49.0 0.99374 3.41      0.60 12.80000
## 441                 24.0                122.0 0.99820 3.26      0.61  9.50000
## 442                 11.0                 18.0 0.99620 3.41      0.59 10.80000
## 443                 26.0                 52.0 0.99379 3.51      0.60 11.50000
## 444                  6.0                 23.0 0.99830 3.61      0.96  9.90000
## 445                 11.0                 34.0 0.99760 3.44      0.53  9.50000
## 446                 10.0                 26.0 0.99840 3.34      0.75 10.20000
## 447                  6.0                 17.0 0.99640 3.15      0.92 11.70000
## 448                 31.0                 68.0 0.99694 3.45      0.48  9.40000
## 449                  7.0                 27.0 0.99880 3.06      0.68 11.30000
## 450                 35.0                121.0 0.99810 3.37      0.49  9.40000
## 451                 24.0                 58.0 0.99650 3.34      0.58  9.40000
## 452                 11.0                 54.0 0.99900 3.37      0.49  9.90000
## 453                 10.0                 29.0 0.99620 3.26      0.74  9.80000
## 454                 10.0                 62.0 0.99685 3.35      0.56 10.00000
## 455                 12.0                 28.0 0.99768 3.52      0.73  9.50000
## 456                  3.0                  6.0 0.99690 3.13      0.63 10.40000
## 457                 33.0                 79.0 0.99690 3.41      0.65  9.50000
## 458                 12.0                 56.0 0.99680 3.49      0.67  9.20000
## 459                 20.0                110.0 0.99914 3.30      1.17 10.20000
## 460                 19.0                 58.0 0.99910 3.18      0.56 10.10000
## 461                 15.0                 39.0 0.99675 3.37      0.58  9.20000
## 462                 29.0                 44.0 0.99489 3.38      0.83 10.30000
## 463                 13.0                 29.0 0.99397 3.42      0.62 11.70000
## 464                  5.5                 48.0 0.99612 3.40      0.60 10.30000
## 465                  7.0                 23.0 0.99620 3.26      0.47 10.00000
## 466                 21.0                 59.0 0.99714 3.31      0.67 10.10000
## 467                 43.0                 60.0 0.99499 3.10      0.42  9.20000
## 468                  9.0                 22.0 0.99619 3.33      0.68 10.90000
## 469                 27.0                 43.0 0.99550 3.42      0.58 10.70000
## 470                 12.0                 80.0 0.99580 3.38      0.52 10.10000
## 471                 16.0                 33.0 0.99736 3.58      0.69 10.80000
## 472                 10.0                 28.0 0.99609 3.29      0.51  9.90000
## 473                  6.0                 33.0 0.99740 3.09      0.57  9.40000
## 474                 16.0                 56.0 0.99680 3.11      1.28  9.30000
## 475                 30.0                 47.0 0.99554 3.36      0.48  9.40000
## 476                 35.0                 63.0 0.99750 3.57      0.78  9.90000
## 477                 21.0                 68.0 0.99920 3.46      0.63  9.50000
## 478                 27.0                 94.0 0.99915 3.38      0.77  9.40000
## 479                 36.0                121.0 0.99820 3.37      0.49  9.40000
## 480                 12.0                 25.0 0.99516 3.26      0.84 11.70000
## 481                 15.0                113.0 0.99660 3.17      0.66  9.80000
## 482                  7.0                 27.0 0.99870 3.69      0.91  9.40000
## 483                  5.0                 10.0 0.99670 3.39      0.56  9.80000
## 484                 22.0                 37.0 0.99660 3.46      0.57 10.60000
## 485                 25.0                 60.0 0.99638 3.29      0.75 10.90000
## 486                 31.0                 54.0 0.99728 3.30      0.65 10.00000
## 487                 17.0                 91.0 0.99616 3.29      0.56  9.80000
## 488                  7.0                 37.0 0.99685 3.32      0.55  9.00000
## 489                  9.0                 17.0 0.99467 3.50      0.63 10.90000
## 490                 11.0                 25.0 0.99670 3.32      0.87  8.70000
## 491                 21.0                 39.0 0.99692 3.33      0.83 11.10000
## 492                  6.0                 24.0 0.99700 3.06      0.66 13.40000
## 493                 10.0                 41.0 0.99638 3.18      0.69 11.90000
## 494                 31.0                 70.0 0.99685 3.42      0.59  9.50000
## 495                  5.0                 15.0 0.99700 3.37      0.56 11.30000
## 496                  6.0                 11.0 0.99538 3.44      0.54 12.20000
## 497                  8.0                 20.0 0.99920 3.07      0.82 10.30000
## 498                 16.0                 72.0 0.99570 3.15      0.57  9.40000
## 499                 17.0                 53.0 1.00140 3.05      0.81  9.50000
## 500                 24.0                 33.0 0.99540 3.27      0.55  9.70000
## 501                  5.0                 16.0 1.00060 2.98      0.54  9.40000
## 502                  8.0                 38.0 0.99800 3.47      0.66  9.60000
## 503                 23.0                 94.0 0.99686 3.21      0.58  9.50000
## 504                  6.0                 22.0 0.99760 3.21      1.05 10.80000
## 505                 48.0                 82.0 1.00242 3.16      0.75  8.80000
## 506                  5.0                 27.0 1.00010 3.05      0.64  9.50000
## 507                 10.0                 41.0 0.99800 3.23      0.66 12.50000
## 508                  6.0                 25.0 0.99980 3.12      0.59  9.30000
## 509                 24.0                 94.0 0.99744 3.55      0.53  9.70000
## 510                 24.0                 48.0 0.99554 3.34      0.86 11.00000
## 511                 22.0                 53.0 0.99570 3.32      0.62  9.30000
## 512                  4.0                 14.0 0.99940 3.44      0.52 11.50000
## 513                 17.0                 43.0 0.99822 3.33      0.60 10.40000
## 514                  7.0                 49.0 0.99718 3.35      0.68 10.30000
## 515                  4.0                  8.0 0.99280 3.36      0.55 12.80000
## 516                 12.0                 31.0 0.99840 3.26      0.65 10.20000
## 517                 10.0                 28.0 0.99613 3.25      0.53 10.20000
## 518                  8.0                 24.0 0.99780 3.48      0.53  9.00000
## 519                  3.0                 11.0 0.99440 3.48      0.85 11.70000
## 520                 30.0                 69.0 0.99787 3.22      0.50 10.00000
## 521                 15.0                 28.0 0.99470 3.23      0.73 11.30000
## 522                 20.0                 65.0 0.99558 3.40      0.54 10.10000
## 523                 12.0                 30.0 0.99960 3.18      0.63 10.80000
## 524                 16.0                 49.0 0.99820 3.19      0.70 10.00000
## 525                 10.0                 19.0 0.99560 3.40      0.47 10.00000
## 526                 14.0                 28.0 0.99362 3.62      0.67 12.40000
## 527                 40.0                 83.0 0.99930 3.45      0.52  9.40000
## 528                  8.0                 17.0 0.99774 3.32      0.71 10.50000
## 529                  3.0                 16.0 0.99620 3.42      0.92 10.50000
## 530                  5.0                 13.0 0.99760 3.29      0.55 10.40000
## 531                 15.0                 88.0 0.99357 3.66      0.60 11.50000
## 532                  5.0                 17.0 0.99880 3.21      0.73 11.00000
## 533                  3.0                  6.0 0.99512 3.27      0.67 11.90000
## 534                 11.0                 35.0 0.99557 3.36      0.62 10.80000
## 535                 30.0                 74.0 0.99865 3.30      0.64 10.40000
## 536                 22.0                 91.0 0.99790 3.29      0.62 10.10000
## 537                 15.0                 24.0 0.99514 3.44      0.68 10.55000
## 538                 14.0                 31.0 0.99689 3.59      0.66  9.80000
## 539                 22.0                 31.0 0.99635 3.38      0.58 10.00000
## 540                  6.0                 39.0 0.99346 3.33      0.46 11.90000
## 541                  9.0                 17.0 0.99484 3.19      0.52 12.50000
## 542                 15.0                 34.0 0.99655 3.49      0.68 10.50000
## 543                 27.0                 65.0 0.99690 3.28      0.79 10.70000
## 544                 28.0                 65.0 0.99590 3.30      0.43 10.10000
## 545                 15.0                 33.0 0.99538 3.44      0.63 11.30000
## 546                  7.0                 24.0 1.00012 3.09      0.68 10.90000
## 547                 15.0                 50.0 0.99467 3.58      0.67 12.50000
## 548                 11.0                 37.0 0.99728 3.16      0.67 10.80000
## 549                  5.0                 77.0 0.99747 3.13      0.62  9.10000
## 550                  3.0                  7.0 0.99286 3.22      0.37 13.00000
## 551                 12.0                 16.0 0.99650 3.45      0.68 11.50000
## 552                  4.0                 28.0 0.99464 3.36      0.44 10.10000
## 553                  5.0                 62.0 0.99710 3.00      1.09  9.30000
## 554                  8.0                 28.0 0.99815 3.28      0.60 10.00000
## 555                 17.0                119.0 0.99675 3.26      0.57  9.30000
## 556                 24.0                 44.0 0.99534 3.40      0.85 11.00000
## 557                 13.0                 54.0 0.99724 3.36      0.54 10.10000
## 558                 18.0                 27.0 0.99768 3.44      0.54  9.40000
## 559                  8.0                 14.0 0.99680 3.21      0.90 10.50000
## 560                  4.0                 11.0 0.99620 3.28      0.59  9.50000
## 561                 21.0                101.0 1.00010 3.13      0.51  9.50000
## 562                  6.0                  9.0 0.99628 3.10      0.48 10.40000
## 563                 31.0                145.0 0.99780 3.24      0.53  9.40000
## 564                  7.0                 60.0 0.99786 2.99      1.18 10.20000
## 565                 24.0                 60.0 0.99790 3.31      0.70 10.80000
## 566                  9.0                 42.0 0.99860 3.54      0.66 10.50000
## 567                  6.0                 10.0 0.99604 3.13      0.58 11.90000
## 568                 15.0                 47.0 0.99960 3.05      0.61 10.60000
## 569                 12.0                 21.0 0.99551 3.21      0.75 10.20000
## 570                  6.0                 14.0 0.99820 3.30      0.75  9.80000
## 571                  4.0                 14.0 0.99800 3.29      0.54  9.70000
## 572                  7.0                 16.0 0.99508 3.45      0.63 11.50000
## 573                  6.0                 14.0 0.99627 3.45      0.58  9.80000
## 574                 26.0                 96.0 0.99814 3.36      0.53 10.00000
## 575                 72.0                160.0 0.99721 3.33      0.54 10.30000
## 576                 16.0                 36.0 0.99564 3.38      0.60 10.30000
## 577                 13.0                 28.0 0.99631 3.60      0.66 10.20000
## 578                 29.0                 63.0 0.99615 3.37      0.58 10.50000
## 579                 53.0                 77.0 0.99604 3.47      0.87 11.00000
## 580                 15.0                 40.0 1.00040 3.06      0.49  9.00000
## 581                  9.0                 21.0 0.99526 3.39      0.66 11.60000
## 582                 23.0                116.0 0.99760 3.23      0.64  9.50000
## 583                  5.0                 20.0 0.99900 3.31      0.79 10.70000
## 584                  6.0                 24.0 0.99630 3.44      0.82 11.90000
## 585                  5.0                 13.0 0.99800 3.22      0.62  9.20000
## 586                 12.0                 93.0 0.99980 3.48      0.54  9.80000
## 587                 13.0                 34.0 0.99670 3.29      0.48  9.20000
## 588                  6.0                 25.0 0.99581 3.09      0.43  9.70000
## 589                 23.0                147.0 0.99636 3.26      0.59  9.70000
## 590                 20.0                 57.0 0.99598 3.60      0.74 11.70000
## 591                 39.0                 51.0 0.99512 3.52      0.76 11.20000
## 592                 14.0                 21.0 0.99556 3.14      0.51 10.90000
## 593                 35.0                 53.0 0.99500 3.27      1.01 12.40000
## 594                 19.0                 27.0 0.99712 3.44      0.67  9.80000
## 595                 26.0                 35.0 0.99356 3.22      0.59 12.50000
## 596                 18.0                 45.0 0.99625 3.29      0.65  9.30000
## 597                 16.0                 40.0 0.99910 3.39      0.62  9.40000
## 598                 10.0                 39.0 0.99562 3.40      0.69 11.80000
## 599                 18.0                 80.0 0.99760 3.37      0.80  9.60000
## 600                 26.0                 42.0 0.99590 3.18      0.83 10.60000
## 601                 12.0                 26.0 0.99306 3.55      0.51 12.10000
## 602                 12.0                 67.0 0.99565 3.35      0.60  9.40000
## 603                 16.0                126.0 0.99690 3.28      0.61  9.50000
## 604                 11.0                 43.0 0.99760 3.31      0.53  9.20000
## 605                 16.0                 42.0 0.99720 3.44      0.52  9.30000
## 606                 30.0                 35.0 0.99533 3.48      0.65 11.40000
## 607                 15.0                 54.0 1.00000 3.03      0.66 10.20000
## 608                 11.0                 38.0 0.99699 3.24      0.56 10.90000
## 609                 12.0                 42.0 1.00040 3.16      0.61 10.30000
## 610                 10.0                 26.0 1.00060 3.48      0.91  9.70000
## 611                 27.0                 63.0 0.99160 3.68      0.79 14.00000
## 612                  5.0                 14.0 0.99710 3.26      0.79 10.60000
## 613                  9.0                 25.0 0.99580 3.33      0.56  9.50000
## 614                 23.0                 48.0 0.99810 3.41      0.74  9.20000
## 615                 10.0                 14.0 0.99538 3.51      0.71 11.70000
## 616                 34.0                 45.0 0.99417 3.46      0.74 12.70000
## 617                 21.0                 28.0 0.99352 3.44      0.55 12.30000
## 618                 35.0                 67.0 0.99720 3.28      0.73 11.80000
## 619                 12.0                 28.0 0.99940 3.51      0.72 10.00000
## 620                  5.0                 19.0 0.99585 3.30      0.86 12.40000
## 621                 16.0                 42.0 0.99154 3.71      0.74 14.00000
## 622                 10.0                 35.0 0.99575 3.34      0.57 10.00000
## 623                 24.0                144.0 0.99655 3.30      0.60  9.50000
## 624                 51.0                148.0 0.99860 3.17      0.93  9.20000
## 625                 12.0                 66.0 0.99623 3.00      1.17  9.20000
## 626                  7.0                 17.0 0.99659 3.26      0.64  9.40000
## 627                 18.0                 88.0 0.99745 3.53      0.55  9.50000
## 628                 18.0                 44.0 0.99210 3.90      0.62 12.80000
## 629                 12.0                 47.0 0.99640 3.19      0.93  9.50000
## 630                 16.0                 28.0 0.99531 3.36      0.64 10.10000
## 631                  6.0                 15.0 1.00080 2.86      0.79  8.40000
## 632                 13.0                 62.0 0.99660 3.07      0.63 10.50000
## 633                 14.0                 46.0 0.99710 3.24      0.66  9.60000
## 634                  4.0                 13.0 0.99855 3.36      0.49  9.50000
## 635                 21.0                127.0 0.99760 3.23      0.62  9.40000
## 636                 27.0                 61.0 0.99650 3.36      0.67 10.70000
## 637                  6.0                 26.0 0.99800 3.18      0.51  9.50000
## 638                  3.0                 10.0 0.99586 3.21      0.59 12.10000
## 639                 24.0                 45.0 0.99528 3.60      0.68 10.30000
## 640                 16.0                 62.0 0.99790 3.03      1.17  9.00000
## 641                 16.0                 46.0 0.99258 4.01      0.59 12.50000
## 642                  8.0                 15.0 0.99560 3.40      0.63  9.40000
## 643                 25.0                 67.0 0.99680 3.20      0.68  9.80000
## 644                  6.0                 10.0 0.99664 3.12      0.65 11.80000
## 645                 15.0                 49.0 0.99800 3.03      0.81  9.70000
## 646                  6.0                 12.0 0.99495 3.44      0.72 11.50000
## 647                 22.0                 54.0 0.99572 3.42      1.16 10.60000
## 648                  7.0                 22.0 0.99669 3.46      0.61 10.20000
## 649                 16.0                 70.0 0.99352 3.46      0.65 12.50000
## 650                 18.0                 38.0 0.99330 3.38      0.88 13.60000
## 651                  6.0                 21.0 0.99870 3.26      0.86 10.70000
## 652                  5.0                 35.0 0.99738 3.25      0.42  9.60000
## 653                 22.0                 84.0 0.99720 3.32      0.70  9.60000
## 654                  5.0                 13.0 0.99680 3.20      0.52  9.50000
## 655                 17.0                 91.0 0.99616 3.26      0.58  9.80000
## 656                  9.0                 46.0 0.99620 3.41      0.54  9.40000
## 657                 20.0                 53.0 1.00040 3.14      0.61  9.40000
## 658                  6.0                 24.0 0.99780 3.15      0.90 11.00000
## 659                  6.0                 17.0 0.99565 3.22      0.63 11.80000
## 660                 48.0                 59.0 0.99541 3.61      0.70 11.50000
## 661                 13.0                 24.0 0.99438 3.41      0.83 11.30000
## 662                 21.0                 58.0 0.99970 3.46      0.72 10.20000
## 663                 19.0                 48.0 0.99490 3.49      0.49 11.40000
## 664                 27.0                 63.0 0.99160 3.68      0.79 14.00000
## 665                  3.0                  8.0 0.99817 3.27      0.58 11.00000
## 666                 10.0                 19.0 0.99468 3.30      0.73 12.00000
## 667                 23.0                 49.0 0.99630 3.28      0.67  9.30000
## 668                 26.0                 42.0 0.99489 3.39      0.82 10.90000
## 669                 21.0                 92.0 0.99745 3.50      0.60  9.80000
## 670                 18.0                 72.0 1.00010 3.31      0.53  9.70000
## 671                 15.0                 23.0 0.99627 3.54      0.60 11.00000
## 672                 14.0                 38.0 0.99675 3.37      0.58  9.00000
## 673                 25.0                105.0 0.99613 3.30      0.49  9.90000
## 674                 17.0                 35.0 0.99940 3.10      0.61 10.80000
## 675                  8.0                 23.0 0.99610 3.30      0.58  9.60000
## 676                 26.0                 70.0 0.99810 3.16      0.52  9.90000
## 677                 22.0                 36.0 0.99490 3.41      0.75 11.10000
## 678                  6.0                 20.0 0.99652 3.28      0.57 12.50000
## 679                  6.0                 21.0 1.00020 3.16      0.67  9.70000
## 680                  3.0                 19.0 0.99500 3.16      0.46  9.80000
## 681                 10.0                 48.0 0.99760 3.34      0.46  9.40000
## 682                  8.0                 30.0 0.99840 3.23      0.58 10.50000
## 683                 10.0                 37.0 0.99685 3.46      0.50 11.00000
## 684                 12.0                 47.0 0.99640 3.19      0.93  9.50000
## 685                  4.0                 10.0 0.99386 3.27      0.71 12.50000
## 686                 28.0                128.0 0.99730 3.42      0.71 10.50000
## 687                 68.0                124.0 0.99940 3.47      0.53  9.90000
## 688                 12.0                 25.0 0.99520 3.34      0.79 13.30000
## 689                  7.0                 17.0 0.99840 3.08      0.67  9.30000
## 690                 22.0                 67.0 0.99740 3.13      1.28  9.40000
## 691                  9.0                 28.0 0.99940 3.20      0.77 10.80000
## 692                 24.0                 88.0 0.99612 3.30      0.53  9.80000
## 693                  5.0                 11.0 0.99620 3.48      0.52  9.50000
## 694                 23.0                 58.0 0.99633 3.42      0.97 10.60000
## 695                 15.0                 58.0 0.99470 3.37      0.78 11.80000
## 696                 33.0                 98.0 1.00100 3.20      0.95  9.20000
## 697                 24.0                 32.0 0.99402 3.54      0.60 11.30000
## 698                  9.0                105.0 0.99725 3.25      1.18 10.50000
## 699                 32.0                 64.0 0.99491 3.43      0.56 11.20000
## 700                 12.0                 20.0 0.99546 3.29      0.54 10.10000
## 701                 22.0                 47.0 0.99525 3.51      0.43 10.70000
## 702                  8.0                 22.0 0.99322 3.38      0.49 11.70000
## 703                 13.0                 20.0 0.99540 3.42      0.67 11.30000
## 704                 12.0                 48.0 0.99760 3.18      0.51  9.60000
## 705                 27.0                 73.0 0.99669 3.32      0.48  9.20000
## 706                 12.0                 88.0 0.99240 3.56      0.82 12.90000
## 707                  6.0                 18.0 0.99610 3.40      0.59 10.30000
## 708                 19.0                 27.0 0.99596 3.16      0.49  9.40000
## 709                 55.0                 95.0 1.00369 3.18      0.77  9.00000
## 710                  5.0                 15.0 0.99800 3.21      0.67 10.20000
## 711                  7.0                 37.0 0.99685 3.32      0.55  9.00000
## 712                  6.0                 19.0 0.99820 3.26      0.61  9.30000
## 713                 13.0                 27.0 0.99516 3.26      0.84 11.70000
## 714                  7.0                 20.0 0.99410 3.28      0.70 11.10000
## 715                 11.0                 18.0 0.99242 3.39      0.40 12.80000
## 716                 14.0                111.0 0.99640 3.15      0.66  9.80000
## 717                  9.0                 17.0 0.99496 3.52      0.78 10.60000
## 718                  8.0                 16.0 0.99640 3.38      0.59  9.80000
## 719                 17.0                 31.0 0.99328 3.35      0.54 12.40000
## 720                 34.0                 61.0 0.99528 3.43      0.59 10.80000
## 721                  3.0                  9.0 0.99506 3.27      0.55 12.30000
## 722                 17.0                 91.0 0.99616 3.29      0.56  9.80000
## 723                  9.0                 23.0 0.99585 3.39      0.43  9.05000
## 724                  9.0                 34.0 0.99736 3.24      0.77 12.10000
## 725                 17.0                 54.0 0.99750 3.43      0.59 10.00000
## 726                 10.0                 24.0 0.99820 3.20      0.89  9.40000
## 727                  6.0                 12.0 0.99672 3.34      0.49  9.70000
## 728                  6.0                 18.0 1.00040 3.16      0.49  9.50000
## 729                 13.0                 38.0 0.99550 3.34      0.52  9.30000
## 730                 11.0                 25.0 0.99660 3.36      0.76 10.10000
## 731                 10.0                 23.0 1.00315 2.92      0.74 11.10000
## 732                 21.0                 66.0 0.99740 3.25      0.56  9.20000
## 733                  3.0                 10.0 0.99572 3.02      0.83 10.90000
## 734                 54.0                 80.0 1.00020 3.30      0.76 10.70000
## 735                 13.0                 27.0 0.99362 3.57      0.50 11.90000
## 736                 10.0                 28.0 0.99830 3.45      0.78  9.50000
## 737                 17.0                 43.0 1.00140 3.06      0.80 10.00000
## 738                 20.0                 38.0 0.99818 3.24      0.71 10.80000
## 739                 12.0                 35.0 1.00060 3.10      0.56  9.00000
## 740                 24.0                 44.0 0.99534 3.40      0.85 11.00000
## 741                 11.0                 75.0 0.99736 3.20      0.59  9.20000
## 742                 19.0                106.0 0.99270 3.54      0.62 12.20000
## 743                 32.0                 71.0 1.00015 3.31      0.71  9.80000
## 744                 30.0                 74.0 0.99865 3.30      0.64 10.40000
## 745                 15.0                 42.0 0.99780 3.31      0.64  9.00000
## 746                 13.0                 31.0 0.99538 3.36      0.54 10.50000
## 747                  5.0                 16.0 0.99360 3.50      0.44 11.90000
## 748                 26.0                 61.0 1.00025 3.60      0.72  9.80000
## 749                 10.0                 86.0 0.99830 3.37      0.62  9.50000
## 750                 16.0                 29.0 0.99471 3.32      0.51  9.80000
## 751                  6.0                 12.0 0.99605 3.52      0.63 10.70000
## 752                  5.0                 16.0 0.99720 3.15      0.65 11.00000
## 753                  7.0                 13.0 0.99639 3.38      0.56 10.80000
## 754                 18.0                 88.0 0.99745 3.53      0.55  9.50000
## 755                 37.5                289.0 0.99316 3.01      0.51 12.30000
## 756                 15.0                 54.0 0.99700 3.26      0.65  9.80000
## 757                  5.0                 13.0 0.99700 3.41      0.57 11.00000
## 758                 28.0                 71.0 0.99970 3.50      0.57  9.70000
## 759                 11.0                 35.0 0.99557 3.36      0.62 10.80000
## 760                 10.0                 52.0 0.99680 3.23      0.77  9.50000
## 761                  3.0                 20.0 0.99540 3.34      0.58  9.40000
## 762                  6.0                 28.0 0.99704 3.07      0.65 10.03333
## 763                 17.0                 45.0 0.99760 3.46      0.54  9.50000
## 764                  5.0                 11.0 0.99478 3.19      0.46 11.40000
## 765                 15.0                 29.0 0.99472 3.23      0.76 11.30000
## 766                 18.0                 38.0 0.99518 3.16      0.85 11.10000
## 767                  6.0                 10.0 0.99536 3.31      0.68 11.20000
## 768                 15.0                 60.0 0.99638 3.31      0.54  9.80000
## 769                 13.0                 27.0 0.99500 3.32      0.90 13.40000
## 770                  7.0                 18.0 0.99470 3.32      0.79 14.00000
## 771                 18.0                111.0 0.99820 3.30      0.60  9.50000
## 772                  8.0                 25.0 0.99746 3.69      0.73 10.50000
## 773                  9.0                 37.0 0.99732 3.66      0.65  9.80000
## 774                  7.0                 17.0 0.99840 3.08      0.67  9.30000
## 775                 11.0                 22.0 0.99630 3.26      0.50  9.50000
## 776                 17.0                 44.0 0.99734 3.28      0.77 11.50000
## 777                 12.0                 87.0 0.99780 3.33      0.83 10.50000
## 778                  9.0                 67.0 0.99680 3.17      0.53  9.40000
## 779                  3.0                 12.0 0.99640 3.53      0.49 10.90000
## 780                 19.0                 49.0 0.99666 3.40      0.76 10.90000
## 781                  7.0                 27.0 0.99870 3.69      0.91  9.40000
## 782                  6.0                 18.0 0.99348 3.57      0.54 11.95000
## 783                 12.0                 48.0 0.99888 3.31      0.54  9.50000
## 784                 19.0                133.0 0.99720 2.93      1.98  9.80000
## 785                 12.0                 37.0 0.99820 3.17      0.67  9.60000
## 786                 13.0                 31.0 0.99538 3.36      0.54 10.50000
## 787                 13.0                 45.0 0.99720 3.48      0.64  9.20000
## 788                 23.0                 42.0 0.99356 3.34      0.72 12.90000
## 789                 40.0                 54.0 0.99500 3.54      0.93 10.70000
## 790                  3.0                 22.0 0.99630 3.25      0.63  9.20000
## 791                 12.0                 74.0 0.99738 3.14      0.54  9.40000
## 792                 26.0                 45.0 0.99824 3.38      0.64 10.10000
## 793                  6.0                 20.0 0.99630 3.29      0.60 10.20000
## 794                 11.0                 44.0 0.99530 3.47      0.55 10.40000
## 795                 22.0                114.0 0.99700 3.25      0.73  9.20000
## 796                  6.0                 14.0 0.99702 3.21      0.49 11.80000
## 797                 35.0                155.0 1.00100 3.41      0.67 11.20000
## 798                 27.0                 46.0 0.99592 3.02      0.47  9.20000
## 799                 22.0                 91.0 0.99790 3.29      0.62 10.10000
## 800                 21.0                 77.0 0.99800 3.28      0.51  9.80000
## 801                 11.0                 86.0 1.00100 3.43      0.64 11.30000
## 802                  6.0                 17.0 0.99760 3.17      0.47 10.00000
## 803                 19.0                 41.0 0.99939 3.21      0.76 11.30000
## 804                 17.0                 69.0 0.99734 3.26      0.63 10.20000
## 805                 17.0                102.0 0.99780 3.35      0.80 10.50000
## 806                 20.0                136.0 0.99720 2.93      1.95  9.90000
## 807                 31.0                 43.0 0.99371 3.41      0.57 11.80000
## 808                 24.0                 52.0 0.99494 3.34      0.71 11.20000
## 809                 15.0                 21.0 0.99572 3.38      0.60 11.30000
## 810                  5.0                 17.0 0.99760 3.30      1.05  9.40000
## 811                  5.0                 15.0 0.99700 3.37      0.56 11.30000
## 812                  3.0                 11.0 0.99378 3.71      0.63 12.80000
## 813                 14.0                 28.0 0.99820 3.03      0.93  9.80000
## 814                 10.0                 22.0 0.99760 3.22      0.44  9.60000
## 815                  5.0                 14.0 0.99820 3.17      0.42 10.00000
## 816                  3.0                  8.0 0.99534 3.15      0.73 11.40000
## 817                  3.0                 10.0 0.99586 3.21      0.59 12.10000
## 818                  7.0                 12.0 0.99587 3.34      0.39  9.50000
## 819                  5.0                 14.0 0.99870 3.29      0.52 10.70000
## 820                 21.0                 51.0 0.99820 3.16      0.72 11.50000
## 821                  4.0                 10.0 0.99356 3.33      0.70 12.80000
## 822                 30.0                 92.0 0.99892 3.20      0.58  9.20000
## 823                 18.0                 34.0 0.99480 3.39      0.60 10.60000
## 824                 13.0                 74.0 0.99580 3.26      0.54  9.90000
## 825                  6.0                 24.0 0.99780 3.15      0.90 11.00000
## 826                  6.0                 13.0 0.99774 3.22      0.76 11.40000
## 827                 13.0                 32.0 1.00000 3.28      0.56 10.00000
## 828                 34.0                 48.0 0.99832 3.38      0.86  9.90000
## 829                 41.0                 55.0 0.99652 3.47      0.73 10.90000
## 830                 40.0                 54.0 0.99683 3.40      0.73  9.70000
## 831                  8.0                 22.0 0.99740 3.22      0.94 10.90000
## 832                 31.0                131.0 0.99622 3.21      0.52  9.90000
## 833                 15.0                 28.0 0.99444 3.78      0.61 12.50000
## 834                  9.0                 18.0 0.99720 3.46      0.65  9.20000
## 835                  4.0                 11.0 0.99592 3.53      0.64 10.90000
## 836                 16.0                 45.0 0.99702 3.03      1.34  9.20000
## 837                 25.0                 50.0 0.99478 3.20      0.83 10.90000
## 838                 31.0                 51.0 0.99672 3.53      0.81 10.40000
## 839                 23.0                 47.0 0.99572 3.58      0.50 11.20000
## 840                 11.0                 24.0 0.99498 3.27      0.64 12.10000
## 841                  8.0                 19.0 0.99630 3.56      0.73 10.60000
## 842                 15.0                 75.0 0.99980 3.18      0.64  9.40000
## 843                  3.0                  7.0 0.99470 3.19      0.55 11.40000
## 844                  9.0                 30.0 0.99680 3.41      0.53  9.50000
## 845                 10.0                 48.0 0.99760 3.34      0.46  9.40000
## 846                  3.0                 11.0 0.99577 3.23      0.57 13.20000
## 847                  5.0                 12.0 0.99580 3.34      0.56  9.20000
## 848                 14.0                 45.0 0.99336 3.38      0.54 11.00000
## 849                 18.0                 40.0 0.99760 3.14      0.51  9.80000
## 850                 11.0                 24.0 0.99745 3.29      0.99 12.00000
## 851                 25.0                129.0 0.99720 3.08      0.53  9.00000
## 852                 11.0                 39.0 0.99680 3.42      0.58  9.60000
## 853                 16.0                 36.0 0.99564 3.38      0.60 10.30000
## 854                  6.0                 47.0 1.00140 3.01      0.81 10.80000
## 855                  6.0                 19.0 0.99860 3.27      0.82 11.70000
## 856                 20.0                 44.0 0.99650 3.38      0.59 10.70000
## 857                  7.0                 15.0 0.99810 3.18      0.62  9.50000
## 858                 18.0                 48.0 0.99940 3.22      0.64 10.30000
## 859                 28.0                 68.0 0.99501 3.36      0.66 11.20000
## 860                 15.0                 39.0 0.99560 3.56      0.52 12.70000
## 861                 32.0                 79.0 0.99640 3.30      0.72 11.00000
## 862                  6.0                 11.0 0.99318 3.35      0.66 12.70000
## 863                 39.0                 55.0 0.99560 3.39      0.84 11.40000
## 864                 24.0                 44.0 0.99534 3.40      0.85 11.00000
## 865                  8.0                 65.0 0.99340 3.90      0.56 13.10000
## 866                 13.0                 35.0 0.99720 3.30      0.59  9.00000
## 867                  8.0                 23.0 0.99650 3.45      0.56 10.70000
## 868                 29.0                 94.0 0.99786 3.14      0.58  9.10000
## 869                 51.0                 77.5 0.99558 3.20      0.45  9.50000
## 870                 22.0                 48.0 0.99494 3.30      0.84 11.50000
## 871                 17.0                 26.0 0.99783 3.45      0.53  9.50000
## 872                 10.0                 41.0 0.99740 3.24      0.71  9.80000
## 873                 33.0                141.0 0.99620 3.25      0.51  9.90000
## 874                 11.0                119.0 0.99538 3.36      0.70 10.90000
## 875                 18.0                 86.0 0.99680 3.59      0.57  9.30000
## 876                  4.0                  9.0 0.99458 3.16      0.54  9.80000
## 877                 17.0                 43.0 0.99444 3.31      0.77 12.50000
## 878                 10.0                 18.0 0.99684 3.37      0.68 11.20000
## 879                  6.0                 15.0 0.99880 2.99      0.87 10.20000
## 880                 19.0                 52.0 0.99800 3.44      0.64  9.20000
## 881                  7.0                 25.0 0.99628 3.24      0.44 10.40000
## 882                 28.0                 91.0 0.99520 3.44      0.55 12.10000
## 883                 12.0                 39.0 0.99770 3.50      0.70  9.90000
## 884                 10.0                 21.0 0.99576 3.15      0.49  9.90000
## 885                  6.0                 37.0 0.99920 3.05      0.56 10.00000
## 886                  7.0                 20.0 0.99590 3.20      0.56  9.60000
## 887                 13.0                 95.0 0.99700 3.16      0.54  9.10000
## 888                 50.0                110.0 0.99830 3.26      0.77  9.40000
## 889                  8.0                 19.0 0.99740 3.27      0.73  9.30000
## 890                 12.0                 35.0 0.99680 3.38      0.62  9.50000
## 891                  3.0                  9.0 0.99719 3.33      0.57 10.30000
## 892                 41.0                 55.0 0.99652 3.47      0.73 10.90000
## 893                 24.0                 71.0 0.99624 3.27      0.85 11.00000
## 894                 18.0                 28.0 0.99765 3.41      0.60  9.40000
## 895                  3.0                  7.0 0.99454 3.22      0.58 11.20000
## 896                 32.0                 38.0 0.99438 3.32      0.58 11.40000
## 897                 36.0                100.0 0.99064 3.26      0.39 11.70000
## 898                 29.0                 80.0 0.99020 3.49      0.66 13.60000
## 899                 12.0                 65.0 0.99670 3.29      0.51  9.20000
## 900                 20.0                 38.0 0.99780 3.40      0.53  9.50000
## 901                 12.0                 87.0 0.99780 3.33      0.83 10.50000
## 902                 20.0                136.0 0.99720 2.93      1.95  9.90000
## 903                 25.0                 42.0 0.99530 3.24      0.77 12.60000
## 904                 29.0                 46.0 0.99430 3.20      0.60 12.20000
## 905                  9.0                 23.0 0.99638 3.23      0.76 12.00000
## 906                  5.0                 13.0 0.99760 3.23      0.82 12.60000
## 907                  5.0                 18.0 0.99720 3.21      0.87 11.30000
## 908                 16.0                 25.0 0.99360 3.28      0.66 12.40000
## 909                  6.0                 29.0 0.99870 2.88      0.82  9.80000
## 910                  5.0                 21.0 0.99860 3.17      0.53 10.50000
## 911                  5.0                 18.0 0.99666 3.20      0.52  9.40000
## 912                 16.0                 33.0 0.99736 3.58      0.69 10.80000
## 913                  9.0                 23.0 0.99680 3.30      1.20 10.30000
## 914                 14.0                 36.0 0.99364 3.41      0.56 12.60000
## 915                  6.0                 13.0 1.00000 3.17      0.71  9.50000
## 916                  5.0                 14.0 1.00020 3.19      0.44  9.60000
## 917                 15.0                 35.0 0.99590 3.36      0.59  9.70000
## 918                 41.0                110.0 0.99820 3.08      0.61  9.20000
## 919                  9.0                 18.0 0.99680 3.36      0.57  9.50000
## 920                 10.0                 37.0 0.99660 3.17      0.91  9.50000
## 921                  6.0                 25.0 0.99980 3.12      0.59  9.30000
## 922                 18.0                 28.0 0.99483 3.55      0.66 10.90000
## 923                 11.0                 41.0 0.99670 3.36      0.55  9.10000
## 924                 19.0                 98.0 0.99815 3.32      0.63  9.50000
## 925                 10.0                 16.0 0.99479 3.43      0.59 11.50000
## 926                 16.0                 86.0 0.99743 3.53      0.57  9.70000
## 927                 16.0                 44.0 0.99580 3.13      0.52 11.00000
## 928                 15.0                 26.0 0.99538 3.57      0.63 12.00000
## 929                  7.0                 20.0 0.99647 3.32      0.63 10.50000
## 930                  9.0                 37.0 0.99732 3.66      0.65  9.80000
## 931                  7.0                 54.0 0.99660 3.36      0.52  9.40000
## 932                  8.0                 19.0 0.99701 3.31      0.53 10.00000
## 933                  5.0                 13.0 0.99420 3.72      0.58 11.40000
## 934                 27.0                 85.0 0.99706 3.41      0.58  9.00000
## 935                 16.0                 63.0 0.99650 3.19      0.82  9.60000
## 936                 17.0                 91.0 0.99616 3.26      0.58  9.80000
## 937                  4.0                 15.0 0.99693 3.22      0.55 10.30000
## 938                  5.0                 33.0 0.99612 3.37      0.58 11.00000
## 939                  7.0                 32.0 0.99668 3.39      0.54  9.60000
## 940                 27.0                 51.0 0.99634 3.49      0.64 10.40000
## 941                 27.0                119.0 0.99720 3.16      1.12  9.10000
## 942                 25.0                 68.0 0.99950 3.15      0.82 10.40000
## 943                 34.0                 53.0 0.99580 3.41      0.67  9.70000
## 944                  4.0                 23.0 0.99710 3.15      0.74  9.20000
## 945                 10.0                 21.0 0.99692 3.29      0.67 10.00000
## 946                 20.0                112.0 0.99680 3.21      0.71  9.30000
## 947                  4.0                  8.0 0.99396 3.33      0.37 10.40000
## 948                  8.0                 18.0 0.99344 3.39      0.56 12.40000
## 949                  7.0                 23.0 0.99974 3.21      0.69 10.90000
## 950                 16.0                 47.0 0.99594 3.40      0.78 11.30000
## 951                 13.0                 28.0 0.99660 3.52      0.62 10.20000
## 952                  5.0                 15.0 0.99870 2.98      0.70  9.20000
## 953                  9.0                 26.0 0.99470 3.36      0.60 11.90000
## 954                  7.0                 13.0 0.99582 3.53      0.58 10.80000
## 955                  9.0                 38.0 0.99616 3.15      0.53  9.80000
## 956                 13.0                 81.0 0.99688 3.24      0.54  9.50000
## 957                 25.0                 87.0 0.99975 3.24      0.62  9.70000
## 958                 11.0                 40.0 0.99780 3.39      0.61 10.00000
## 959                  5.0                 27.0 0.99340 3.57      0.84 12.50000
## 960                 11.0                 18.0 0.99191 3.45      0.56 12.20000
## 961                 24.0                 88.0 0.99612 3.30      0.53  9.80000
## 962                  8.0                 29.0 0.99855 3.67      0.73  9.60000
## 963                 11.0                 43.0 0.99750 3.53      0.61 10.50000
## 964                 17.0                 65.0 0.99294 3.33      0.60 10.50000
## 965                 28.0                 52.0 0.99378 3.49      0.52 11.60000
## 966                 15.0                 24.0 0.99438 3.40      0.82 11.20000
## 967                  6.0                 14.0 0.99940 3.19      0.62  9.50000
## 968                  9.0                 18.0 0.99444 3.42      0.69 11.30000
## 969                 26.0                122.0 0.99801 3.22      1.07  9.70000
## 970                 16.0                 20.0 0.99672 3.61      0.82 10.00000
## 971                 17.0                 26.0 0.99575 3.36      0.61 10.20000
## 972                  6.0                 14.0 0.99780 3.34      0.52 10.00000
## 973                 10.0                 21.0 0.99552 3.41      0.76 11.90000
## 974                  5.0                 27.0 0.99990 3.08      0.87 10.90000
## 975                 11.0                 27.0 0.99740 3.21      0.80  9.40000
## 976                  6.0                 15.0 0.99730 3.09      0.66 11.80000
## 977                 15.0                115.0 0.99800 3.23      0.59  9.50000
## 978                  7.0                 42.0 1.00220 3.07      0.73 10.00000
## 979                  4.0                 11.0 0.99620 3.41      0.39 10.90000
## 980                 31.0                 54.0 0.99728 3.30      0.65 10.00000
## 981                 14.0                 56.0 0.99620 3.21      0.60 10.90000
## 982                 27.0                 90.0 0.99840 3.16      0.70  9.40000
## 983                  8.0                 24.0 0.99578 2.88      0.47  9.70000
## 984                 15.0                 28.0 0.99459 3.42      0.70 10.00000
## 985                 28.0                 46.0 0.99930 3.20      0.80 10.20000
## 986                  3.0                 13.0 0.99600 3.23      1.10 10.00000
## 987                  5.0                 16.0 0.99649 3.27      0.74 12.30000
## 988                 10.0                 17.0 1.00020 3.07      0.56 11.70000
## 989                  9.0                 24.0 0.99695 3.22      0.82 10.30000
## 990                 18.0                102.0 0.99670 3.26      0.59  9.30000
## 991                 35.0                 72.0 0.99700 3.44      0.52  9.40000
## 992                  3.0                 10.0 0.99572 3.02      0.83 10.90000
## 993                 21.0                 58.0 0.99970 3.46      0.72 10.20000
## 994                 26.0                 65.0 0.99716 3.46      0.62  9.50000
## 995                 11.0                108.0 0.99640 3.15      0.66  9.80000
## 996                 38.0                 76.0 0.99900 3.17      0.85 12.00000
## 997                  6.0                 13.0 0.99643 3.22      0.65 11.60000
## 998                  6.0                 22.0 0.99860 3.17      0.66 11.20000
## 999                  5.0                 17.0 0.99960 3.22      0.62 11.20000
## 1000                23.0                 71.0 0.99820 3.52      0.65  9.70000
## 1001                26.0                 44.0 0.99522 3.42      0.68 10.80000
## 1002                 9.0                 59.0 0.99976 3.28      0.54  9.60000
## 1003                24.0                120.0 0.99680 3.25      0.54  9.40000
## 1004                16.0                 39.0 0.99610 3.34      0.55  9.20000
## 1005                32.0                 79.0 0.99640 3.30      0.72 11.00000
## 1006                 9.0                 29.0 0.99740 3.26      1.56  9.10000
## 1007                17.0                 24.0 0.99437 3.59      0.55 11.20000
## 1008                18.0                 64.0 0.99652 2.90      1.33  9.10000
## 1009                 6.0                 20.0 0.99770 3.18      1.06 11.00000
## 1010                29.0                 53.0 0.99980 3.24      0.67  9.90000
## 1011                10.0                 38.0 0.99735 3.31      0.64  9.40000
## 1012                 6.0                 15.0 0.99840 3.01      0.83 11.80000
## 1013                16.0                 43.0 0.99800 3.48      0.64  9.10000
## 1014                19.0                 40.0 0.99387 3.38      0.66 12.60000
## 1015                 6.0                 32.0 1.00060 3.12      0.78 10.70000
## 1016                 7.0                 21.0 0.99920 3.17      0.84 12.20000
## 1017                15.0                 21.0 0.99572 3.38      0.60 11.30000
## 1018                36.0                 60.0 0.99494 3.10      0.40  9.30000
## 1019                14.0                 31.0 0.99689 3.59      0.66  9.80000
## 1020                 4.0                 10.0 0.99356 3.33      0.70 12.80000
## 1021                12.0                 53.0 0.99710 3.36      0.57  9.10000
## 1022                 8.0                 32.0 0.99860 2.89      0.50  9.60000
## 1023                23.0                 81.0 1.00020 3.48      0.74 11.60000
## 1024                13.0                 50.0 1.00150 3.16      0.69  9.20000
## 1025                 4.0                 10.0 0.99710 3.04      0.63  9.60000
## 1026                 3.0                  8.0 0.99642 3.20      0.53 11.90000
## 1027                 6.0                 14.0 0.99562 3.51      0.66 10.80000
## 1028                13.0                 27.0 0.99394 3.14      0.59 11.30000
## 1029                20.0                 56.0 0.99672 3.35      0.56  9.20000
## 1030                15.0                 59.0 0.99640 3.30      0.46  9.40000
## 1031                11.0                 47.0 0.99599 3.27      0.81 11.00000
## 1032                 5.0                 15.0 0.99910 3.32      0.60  9.00000
## 1033                12.0                 29.0 0.99700 3.24      0.75 11.70000
## 1034                 7.0                 19.0 0.99800 3.31      0.88 10.50000
## 1035                 3.0                  6.0 0.99690 3.13      0.63 10.40000
## 1036                 5.0                 22.0 0.99860 3.37      0.58 10.30000
## 1037                 7.0                 31.0 0.99760 3.27      0.60  9.30000
## 1038                 5.0                 10.0 0.99418 3.28      0.57 11.80000
## 1039                18.0                 22.0 0.99573 3.21      0.68  9.90000
## 1040                16.0                 40.0 0.99910 3.39      0.62  9.40000
## 1041                40.0                 63.0 0.99790 3.60      0.81  9.90000
## 1042                14.0                 96.0 0.99610 3.19      0.62  9.50000
## 1043                 7.0                 15.0 0.99458 3.32      0.80 11.90000
## 1044                19.0                 72.0 0.99543 3.39      0.72 11.80000
## 1045                30.0                 92.0 0.99892 3.20      0.58  9.20000
## 1046                 5.0                 14.0 0.99854 3.36      0.53  9.60000
## 1047                16.0                 40.0 0.99910 3.39      0.62  9.40000
## 1048                31.0                 72.0 0.99960 3.10      0.73 10.50000
## 1049                 6.0                 47.0 1.00210 3.30      0.68 12.70000
## 1050                 7.0                 19.0 0.99400 3.50      0.48  9.80000
## 1051                 5.0                 14.0 0.99660 3.63      0.54 10.70000
## 1052                35.0                 70.0 0.99588 3.43      0.62 10.10000
## 1053                32.0                 98.0 0.99578 3.33      0.62  9.80000
## 1054                 4.0                 12.0 0.99473 3.30      0.76 12.80000
## 1055                 4.0                 23.0 0.99960 3.28      0.97 10.10000
## 1056                17.0                 43.0 1.00140 3.06      0.80 10.00000
## 1057                 3.0                 15.0 0.99580 3.41      0.56  9.20000
## 1058                10.0                103.0 0.99690 2.87      1.36 10.20000
## 1059                 8.0                 23.0 0.99610 3.30      0.58  9.60000
## 1060                34.0                 85.0 0.99668 3.19      0.42  9.20000
## 1061                 2.0                 45.0 0.99727 3.31      0.91  9.50000
## 1062                14.0                 30.0 0.99660 3.52      0.55 10.70000
## 1063                16.0                 63.0 0.99650 3.19      0.82  9.60000
## 1064                13.0                 50.0 0.99570 3.38      0.55  9.20000
## 1065                 4.0                 25.0 0.99534 3.38      0.45  9.60000
## 1066                17.0                 26.0 0.99520 3.40      0.58  9.80000
## 1067                25.0                 99.0 0.99500 3.35      0.54 10.10000
## 1068                 9.0                 30.0 0.99824 3.34      0.64 10.50000
## 1069                12.0                 35.0 1.00060 3.10      0.56  9.00000
## 1070                24.0                 52.0 0.99752 3.35      0.94 10.00000
## 1071                15.0                 65.0 0.99590 3.28      0.54  9.20000
## 1072                19.0                 47.0 1.00030 3.26      1.11 11.00000
## 1073                13.0                 31.0 0.99538 3.36      0.54 10.50000
## 1074                 6.0                 14.0 0.99820 3.30      0.75  9.80000
## 1075                14.0                 56.0 0.99620 3.21      0.60 10.90000
## 1076                26.0                 35.0 0.99314 3.32      0.82 11.60000
## 1077                16.0                 24.0 0.99376 3.56      0.77 11.10000
## 1078                10.0                 21.0 0.99760 2.98      0.66  9.90000
## 1079                18.0                 42.0 0.99549 3.39      0.66 11.00000
## 1080                34.0                 53.0 0.99580 3.41      0.67  9.70000
## 1081                 3.0                 13.0 0.99557 3.62      0.62 11.50000
## 1082                21.0                 55.0 0.99495 3.18      0.82 11.00000
## 1083                14.0                 27.0 0.99598 3.06      0.84 11.40000
## 1084                12.0                 20.0 0.99546 3.29      0.54 10.10000
## 1085                14.0                 44.0 0.99800 3.12      0.74 10.00000
## 1086                11.0                 32.0 0.99604 3.23      0.48 10.00000
## 1087                17.0                 56.0 0.99690 3.04      1.08  9.20000
## 1088                10.0                 41.0 0.99800 3.23      0.66 12.50000
## 1089                16.0                 47.0 0.99860 3.12      1.02 10.60000
## 1090                 6.0                 23.0 1.00260 3.12      0.66  9.20000
## 1091                 9.0                 32.0 0.99740 3.13      0.55  9.50000
## 1092                 6.0                 16.0 0.99800 3.18      0.60  9.50000
## 1093                 6.0                 15.0 0.99620 3.44      0.58 10.70000
## 1094                 3.0                  8.0 0.99471 3.16      0.51 11.80000
## 1095                15.0                 85.0 0.99746 3.51      0.54  9.50000
## 1096                18.0                 35.0 0.99680 3.44      0.63 10.00000
## 1097                15.0                 23.0 0.99627 3.54      0.60 11.00000
## 1098                 6.0                 16.0 0.99680 3.22      0.72 11.20000
## 1099                21.0                 59.0 0.99890 3.37      0.71 11.50000
## 1100                21.0                 45.0 0.99740 3.49      0.96 12.10000
## 1101                33.0                 75.0 0.99680 3.40      0.58  9.50000
## 1102                 7.0                 12.0 0.99587 3.34      0.39  9.50000
## 1103                12.0                 29.0 0.99970 3.11      1.36  9.80000
## 1104                15.0                 40.0 0.99414 3.22      0.60 12.20000
## 1105                15.0                 63.0 0.99640 3.00      1.59  9.50000
## 1106                27.0                 85.0 0.99706 3.41      0.58  9.00000
## 1107                32.0                 59.0 0.99617 3.33      0.77 12.00000
## 1108                10.0                 21.0 0.99552 3.41      0.76 11.90000
## 1109                31.0                131.0 0.99622 3.21      0.52  9.90000
## 1110                37.0                 53.0 0.99374 3.35      0.76 11.60000
## 1111                10.0                 24.0 0.99523 3.27      0.85 11.70000
## 1112                11.0                 22.0 1.00000 3.00      0.70  9.30000
## 1113                 4.0                 11.0 0.99745 3.31      0.65  9.55000
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## 1117                24.0                148.0 0.99480 3.16      0.57 11.30000
## 1118                13.0                 26.0 0.99780 3.37      0.46  9.60000
## 1119                16.0                 89.0 0.99182 3.54      0.88 13.60000
## 1120                 9.0                 31.0 0.99660 3.39      0.64  9.60000
## 1121                21.0                 75.0 0.99870 3.35      0.57  9.70000
## 1122                29.0                 63.0 0.99615 3.37      0.58 10.50000
## 1123                 8.0                 16.0 0.99334 3.43      0.52 12.60000
## 1124                 3.0                 14.0 0.99702 3.27      0.78 10.90000
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## 1126                 5.0                 16.0 0.99720 3.15      0.65 11.00000
## 1127                45.0                 87.0 0.99830 3.48      0.53 10.00000
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## 1138                 9.0                 22.0 0.99606 3.34      0.60  9.70000
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## 1199                41.0                 85.0 0.99380 3.75      0.48 10.50000
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## 1100       1
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## 1102       0
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## 1111       1
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## 1198       0
## 1199       0
test_raw.df <- as.data.frame(df_new[-train_df_raw, ])
test_raw.df
##     fixed acidity volatile acidity citric acid residual sugar chlorides
## 1             7.4            0.660        0.00           1.80     0.075
## 2             7.3            0.650        0.00           1.20     0.065
## 3             5.6            0.615        0.00           1.60     0.089
## 4             7.4            0.590        0.08           4.40     0.086
## 5             8.9            0.220        0.48           1.80     0.077
## 6             7.9            0.430        0.21           1.60     0.106
## 7             7.1            0.710        0.00           1.90     0.080
## 8             6.7            0.675        0.07           2.40     0.089
## 9             7.8            0.600        0.14           2.40     0.086
## 10            5.6            0.310        0.37           1.40     0.074
## 11            6.6            0.500        0.04           2.10     0.068
## 12            7.0            0.735        0.05           2.00     0.081
## 13            7.7            0.670        0.23           2.10     0.088
## 14            7.7            0.690        0.22           1.90     0.084
## 15            8.8            0.410        0.64           2.20     0.093
## 16            7.3            0.670        0.26           1.80     0.401
## 17            6.3            0.300        0.48           1.80     0.069
## 18            6.9            0.550        0.15           2.20     0.076
## 19            9.3            0.390        0.44           2.10     0.107
## 20            7.9            0.520        0.26           1.90     0.079
## 21            8.3            0.610        0.30           2.10     0.084
## 22            8.1            0.545        0.18           1.90     0.080
## 23            7.2            0.490        0.24           2.20     0.070
## 24            8.1            0.575        0.22           2.10     0.077
## 25            6.2            0.630        0.31           1.70     0.088
## 26            8.1            0.785        0.52           2.00     0.122
## 27            7.0            0.690        0.08           1.80     0.097
## 28            8.1            1.330        0.00           1.80     0.082
## 29            7.9            1.040        0.05           2.20     0.084
## 30            8.3            0.715        0.15           1.80     0.089
## 31            7.8            0.560        0.19           2.00     0.081
## 32            8.1            0.670        0.55           1.80     0.117
## 33            6.9            0.490        0.10           2.30     0.074
## 34            7.1            0.430        0.42           5.50     0.070
## 35            7.1            0.430        0.42           5.50     0.070
## 36            6.8            0.640        0.10           2.10     0.085
## 37            7.3            0.550        0.03           1.60     0.072
## 38            7.4            0.620        0.05           1.90     0.068
## 39            7.3            0.380        0.21           2.00     0.080
## 40            6.9            0.500        0.04           1.50     0.085
## 41            7.0            0.805        0.00           2.50     0.068
## 42            8.9            0.610        0.49           2.00     0.270
## 43            6.7            0.620        0.21           1.90     0.079
## 44            7.9            0.500        0.33           2.00     0.084
## 45            6.4            0.370        0.25           1.90     0.074
## 46            7.6            0.550        0.21           2.20     0.071
## 47            7.6            0.550        0.21           2.20     0.071
## 48           11.5            0.300        0.60           2.00     0.067
## 49            6.9            1.090        0.06           2.10     0.061
## 50            7.0            0.430        0.36           1.60     0.089
## 51            7.8            0.570        0.31           1.80     0.069
## 52            7.0            0.490        0.49           5.60     0.060
## 53            7.5            0.490        0.19           1.90     0.076
## 54            6.8            0.610        0.04           1.50     0.057
## 55            8.4            0.635        0.36           2.00     0.089
## 56            8.9            0.590        0.50           2.00     0.337
## 57            8.5            0.370        0.20           2.80     0.090
## 58            7.2            0.630        0.00           1.90     0.097
## 59            7.7            0.580        0.10           1.80     0.102
## 60           15.0            0.210        0.44           2.20     0.075
## 61            7.1            0.680        0.07           1.90     0.075
## 62            8.2            0.600        0.17           2.30     0.072
## 63            7.7            0.530        0.06           1.70     0.074
## 64            7.7            0.775        0.42           1.90     0.092
## 65            7.7            0.410        0.76           1.80     0.611
## 66            7.9            0.545        0.06           4.00     0.087
## 67           10.9            0.370        0.58           4.00     0.071
## 68            8.9            0.400        0.32           5.60     0.087
## 69            7.7            0.270        0.68           3.50     0.358
## 70            8.9            0.400        0.32           5.60     0.087
## 71            7.5            0.400        0.12           3.00     0.092
## 72            6.9            0.360        0.25           2.40     0.098
## 73            6.9            0.670        0.06           2.10     0.080
## 74            7.4            0.670        0.12           1.60     0.186
## 75            8.4            0.650        0.60           2.10     0.112
## 76            8.6            0.470        0.30           3.00     0.076
## 77            7.1            0.350        0.29           2.50     0.096
## 78            9.8            0.660        0.39           3.20     0.083
## 79            7.8            0.620        0.05           2.30     0.079
## 80            7.9            0.650        0.01           2.50     0.078
## 81           12.4            0.490        0.58           3.00     0.103
## 82           12.2            0.340        0.50           2.40     0.066
## 83            6.6            0.815        0.02           2.70     0.072
## 84           13.8            0.490        0.67           3.00     0.093
## 85            9.6            0.560        0.31           2.80     0.089
## 86           10.7            0.670        0.22           2.70     0.107
## 87           13.5            0.530        0.79           4.80     0.120
## 88            6.7            0.750        0.01           2.40     0.078
## 89           12.6            0.380        0.66           2.60     0.088
## 90            8.2            0.700        0.23           2.00     0.099
## 91           10.0            0.420        0.50           3.40     0.107
## 92           12.8            0.615        0.66           5.80     0.083
## 93            8.3            0.260        0.42           2.00     0.080
## 94            7.8            0.460        0.26           1.90     0.088
## 95           12.0            0.370        0.76           4.20     0.066
## 96           11.4            0.600        0.49           2.70     0.085
## 97            7.7            0.690        0.05           2.70     0.075
## 98           12.5            0.460        0.49           4.50     0.070
## 99            9.0            0.430        0.34           2.50     0.080
## 100           9.1            0.450        0.35           2.40     0.080
## 101           7.1            0.735        0.16           1.90     0.100
## 102          10.6            0.480        0.64           2.20     0.111
## 103           6.6            0.840        0.03           2.30     0.059
## 104           7.7            0.960        0.20           2.00     0.047
## 105           6.6            0.840        0.03           2.30     0.059
## 106          12.8            0.840        0.63           2.40     0.088
## 107          11.9            0.370        0.69           2.30     0.078
## 108           8.0            0.670        0.30           2.00     0.060
## 109           7.0            0.620        0.18           1.50     0.062
## 110          15.6            0.685        0.76           3.70     0.100
## 111           9.5            0.735        0.10           2.10     0.079
## 112           8.6            0.530        0.22           2.00     0.100
## 113           8.4            0.370        0.53           1.80     0.413
## 114          10.4            0.330        0.63           2.80     0.084
## 115           7.0            0.230        0.40           1.60     0.063
## 116          11.6            0.580        0.66           2.20     0.074
## 117          11.0            0.260        0.68           2.55     0.085
## 118           9.6            0.680        0.24           2.20     0.087
## 119           9.3            0.270        0.41           2.00     0.091
## 120          10.6            0.360        0.60           2.20     0.152
## 121          10.2            0.670        0.39           1.90     0.054
## 122           9.3            0.775        0.27           2.80     0.078
## 123           8.7            0.690        0.31           3.00     0.086
## 124           7.8            0.520        0.25           1.90     0.081
## 125           7.8            0.520        0.25           1.90     0.081
## 126          10.4            0.440        0.73           6.55     0.074
## 127          10.5            0.260        0.47           1.90     0.078
## 128          10.4            0.240        0.46           1.80     0.075
## 129          10.0            0.590        0.31           2.20     0.090
## 130          12.4            0.420        0.49           4.60     0.073
## 131          10.5            0.510        0.64           2.40     0.107
## 132           8.5            0.655        0.49           6.10     0.122
## 133          10.9            0.210        0.49           2.80     0.088
## 134           7.3            0.365        0.49           2.50     0.088
## 135           9.8            0.250        0.49           2.70     0.088
## 136           9.1            0.220        0.24           2.10     0.078
## 137          10.3            0.270        0.24           2.10     0.072
## 138           8.1            0.825        0.24           2.10     0.084
## 139          12.9            0.350        0.49           5.80     0.066
## 140          11.2            0.660        0.24           2.50     0.085
## 141          12.4            0.350        0.49           2.60     0.079
## 142           9.0            0.530        0.49           1.90     0.171
## 143           5.0            1.040        0.24           1.60     0.050
## 144          15.5            0.645        0.49           4.20     0.095
## 145          10.9            0.530        0.49           4.60     0.118
## 146           9.0            0.440        0.49           2.40     0.078
## 147           7.6            0.290        0.49           2.70     0.092
## 148          13.0            0.470        0.49           4.30     0.085
## 149          12.7            0.600        0.49           2.80     0.075
## 150           6.2            0.360        0.24           2.20     0.095
## 151          10.2            0.240        0.49           2.40     0.075
## 152           8.8            0.470        0.49           2.90     0.085
## 153           5.0            0.420        0.24           2.00     0.060
## 154           9.0            0.450        0.49           2.60     0.084
## 155           6.6            0.390        0.49           1.70     0.070
## 156           9.9            0.490        0.58           3.50     0.094
## 157          11.9            0.580        0.58           1.90     0.071
## 158           8.8            0.480        0.41           3.30     0.092
## 159           8.8            0.240        0.54           2.50     0.083
## 160          11.4            0.460        0.50           2.70     0.122
## 161          11.3            0.370        0.41           2.30     0.088
## 162           8.3            0.540        0.24           3.40     0.076
## 163           8.8            0.600        0.29           2.20     0.098
## 164           7.6            0.685        0.23           2.30     0.111
## 165          10.4            0.280        0.54           2.70     0.105
## 166           7.6            0.410        0.14           3.00     0.087
## 167           9.6            0.880        0.28           2.40     0.086
## 168           7.3            0.670        0.05           3.60     0.107
## 169           8.3            0.845        0.01           2.20     0.070
## 170          15.9            0.360        0.65           7.50     0.096
## 171           9.4            0.330        0.59           2.80     0.079
## 172           7.2            0.570        0.06           1.60     0.076
## 173          10.1            0.280        0.46           1.80     0.050
## 174          11.3            0.340        0.45           2.00     0.082
## 175           9.8            0.980        0.32           2.30     0.078
## 176           7.1            0.650        0.18           1.80     0.070
## 177           7.7            0.660        0.04           1.60     0.039
## 178           7.0            0.650        0.02           2.10     0.066
## 179          11.8            0.380        0.55           2.10     0.071
## 180           7.0            0.650        0.02           2.10     0.066
## 181           7.4            0.490        0.19           3.00     0.077
## 182           7.8            0.545        0.12           2.50     0.068
## 183           9.7            0.310        0.47           1.60     0.062
## 184          10.6            1.025        0.43           2.80     0.080
## 185           8.9            0.565        0.34           3.00     0.093
## 186           6.4            0.570        0.02           1.80     0.067
## 187           7.0            0.450        0.34           2.70     0.082
## 188           7.7            0.965        0.10           2.10     0.112
## 189          11.6            0.410        0.58           2.80     0.096
## 190           7.3            0.510        0.18           2.10     0.070
## 191           8.3            0.650        0.10           2.90     0.089
## 192           8.3            0.650        0.10           2.90     0.089
## 193           7.8            0.480        0.68           1.70     0.415
## 194           6.3            0.980        0.01           2.00     0.057
## 195           8.1            0.870        0.00           2.20     0.084
## 196           8.1            0.870        0.00           2.20     0.084
## 197           7.5            0.600        0.32           2.70     0.103
## 198           9.5            0.570        0.27           2.30     0.082
## 199           7.9            0.400        0.29           1.80     0.157
## 200           7.2            1.000        0.00           3.00     0.102
## 201           7.0            0.570        0.00           2.00     0.190
## 202           9.9            0.350        0.41           2.30     0.083
## 203           8.8            0.640        0.17           2.90     0.084
## 204          10.1            0.270        0.54           2.30     0.065
## 205           9.3            0.370        0.44           1.60     0.038
## 206           7.2            0.610        0.08           4.00     0.082
## 207           8.6            0.550        0.09           3.30     0.068
## 208           6.9            0.390        0.24           2.10     0.102
## 209           6.7            0.540        0.13           2.00     0.076
## 210           6.7            0.540        0.13           2.00     0.076
## 211           7.1            0.480        0.28           2.80     0.068
## 212           7.1            0.460        0.14           2.80     0.076
## 213           7.1            0.460        0.14           2.80     0.076
## 214           7.6            0.665        0.10           1.50     0.066
## 215           6.7            0.280        0.28           2.40     0.012
## 216           6.0            0.500        0.04           2.20     0.092
## 217           6.4            0.640        0.21           1.80     0.081
## 218           9.3            0.430        0.44           1.90     0.085
## 219           9.3            0.360        0.39           1.50     0.080
## 220           7.2            0.620        0.06           2.50     0.078
## 221           7.2            0.635        0.07           2.60     0.077
## 222           6.9            0.510        0.23           2.00     0.072
## 223           6.8            0.560        0.22           1.80     0.074
## 224           9.1            0.210        0.37           1.60     0.067
## 225           8.8            0.310        0.40           2.80     0.109
## 226           7.7            0.715        0.01           2.10     0.064
## 227           8.4            0.310        0.29           3.10     0.194
## 228           9.0            0.800        0.12           2.40     0.083
## 229           7.2            0.340        0.24           2.00     0.071
## 230           7.2            0.630        0.03           2.20     0.080
## 231           7.1            0.590        0.01           2.30     0.080
## 232           8.3            0.310        0.39           2.40     0.078
## 233           6.1            0.560        0.00           2.20     0.079
## 234          10.0            0.460        0.44           2.90     0.065
## 235           5.3            0.715        0.19           1.50     0.161
## 236           8.4            0.620        0.12           1.80     0.072
## 237           9.6            0.410        0.37           2.30     0.091
## 238           6.8            0.410        0.31           8.80     0.084
## 239           8.6            0.470        0.27           2.30     0.055
## 240           8.8            0.300        0.38           2.30     0.060
## 241           6.2            0.460        0.17           1.60     0.073
## 242           9.6            0.330        0.52           2.20     0.074
## 243          10.1            0.430        0.40           2.60     0.092
## 244           8.3            0.280        0.48           2.10     0.093
## 245           9.0            0.360        0.52           2.10     0.111
## 246           9.5            0.370        0.52           2.00     0.088
## 247           7.1            0.560        0.14           1.60     0.078
## 248           6.6            0.570        0.02           2.10     0.115
## 249           8.4            0.590        0.29           2.60     0.109
## 250           9.5            0.860        0.26           1.90     0.079
## 251           7.3            0.520        0.32           2.10     0.070
## 252           7.7            0.390        0.12           1.70     0.097
## 253           7.1            0.340        0.28           2.00     0.082
## 254          10.0            0.350        0.45           2.50     0.092
## 255           9.9            0.350        0.38           1.50     0.058
## 256           6.8            0.360        0.32           1.80     0.067
## 257           7.0            0.500        0.14           1.80     0.078
## 258           7.0            0.510        0.09           2.10     0.062
## 259           7.2            0.340        0.21           2.50     0.075
## 260           8.9            0.745        0.18           2.50     0.077
## 261           7.6            0.780        0.00           1.70     0.076
## 262           7.1            0.430        0.17           1.80     0.082
## 263           8.3            0.330        0.42           2.30     0.070
## 264           9.9            0.530        0.57           2.40     0.093
## 265          11.6            0.230        0.57           1.80     0.074
## 266           8.0            0.380        0.44           1.90     0.098
## 267           6.6            0.520        0.08           2.40     0.070
## 268           8.0            0.620        0.35           2.80     0.086
## 269           9.3            0.330        0.45           1.50     0.057
## 270           9.1            0.250        0.34           2.00     0.071
## 271           8.6            0.370        0.65           6.40     0.080
## 272           7.9            0.300        0.68           8.30     0.050
## 273           8.5            0.340        0.40           4.70     0.055
## 274          11.6            0.410        0.54           1.50     0.095
## 275           7.9            0.340        0.42           2.00     0.086
## 276           6.6            0.725        0.09           5.50     0.117
## 277           8.4            0.340        0.42           2.10     0.072
## 278           7.4            0.490        0.27           2.10     0.071
## 279           5.4            0.420        0.27           2.00     0.092
## 280           7.0            0.690        0.07           2.50     0.091
## 281           5.6            0.660        0.00           2.50     0.066
## 282           7.9            0.540        0.34           2.50     0.076
## 283          10.7            0.400        0.37           1.90     0.081
## 284           5.8            0.290        0.26           1.70     0.063
## 285           9.1            0.600        0.00           1.90     0.058
## 286           8.0            0.250        0.43           1.70     0.067
## 287          10.4            0.520        0.45           2.00     0.080
## 288           6.9            0.450        0.11           2.40     0.043
## 289           7.8            0.500        0.12           1.80     0.178
## 290           6.6            0.580        0.00           2.20     0.100
## 291           5.1            0.510        0.18           2.10     0.042
## 292           9.0            0.785        0.24           1.70     0.078
## 293           9.9            0.540        0.26           2.00     0.111
## 294           8.2            0.330        0.39           2.50     0.074
## 295           6.5            0.340        0.27           2.80     0.067
## 296           8.2            0.350        0.33           2.40     0.076
## 297          10.2            0.400        0.40           2.50     0.068
## 298           7.0            0.430        0.30           2.00     0.085
## 299           6.7            0.640        0.23           2.10     0.080
## 300           8.8            0.955        0.05           1.80     0.075
## 301           7.2            0.360        0.46           2.10     0.074
## 302           6.8            0.650        0.02           2.10     0.078
## 303           8.8            0.270        0.46           2.10     0.095
## 304           8.2            0.340        0.37           1.90     0.057
## 305           8.2            0.400        0.31           1.90     0.082
## 306          10.9            0.320        0.52           1.80     0.132
## 307           8.1            0.530        0.22           2.20     0.078
## 308           9.0            0.580        0.25           2.00     0.104
## 309           7.6            0.430        0.29           2.10     0.075
## 310           7.6            0.430        0.29           2.10     0.075
## 311           7.1            0.750        0.01           2.20     0.059
## 312           6.5            0.670        0.00           4.30     0.057
## 313           7.4            0.550        0.19           1.80     0.082
## 314           7.9            0.660        0.00           1.40     0.096
## 315           7.8            0.700        0.06           1.90     0.079
## 316           6.8            0.640        0.00           2.70     0.123
## 317           8.6            0.635        0.68           1.80     0.403
## 318           5.5            0.490        0.03           1.80     0.044
## 319           5.9            0.460        0.00           1.90     0.077
## 320           7.8            0.580        0.13           2.10     0.102
## 321           8.5            0.400        0.40           6.30     0.050
## 322           9.8            0.300        0.39           1.70     0.062
## 323           7.1            0.460        0.20           1.90     0.077
## 324          11.3            0.370        0.50           1.80     0.090
## 325           7.2            0.530        0.14           2.10     0.064
## 326           6.8            0.680        0.09           3.90     0.068
## 327           7.0            0.620        0.10           1.40     0.071
## 328           6.5            0.510        0.15           3.00     0.064
## 329           8.0            1.180        0.21           1.90     0.083
## 330           9.1            0.340        0.42           1.80     0.058
## 331           6.7            0.460        0.24           1.70     0.077
## 332           6.7            0.460        0.24           1.70     0.077
## 333          11.5            0.420        0.48           2.60     0.077
## 334           9.0            0.600        0.29           2.00     0.069
## 335           7.2            0.620        0.01           2.30     0.065
## 336           7.6            0.645        0.03           1.90     0.086
## 337           7.2            0.580        0.03           2.30     0.077
## 338           6.1            0.320        0.25           1.80     0.086
## 339           7.3            0.430        0.24           2.50     0.078
## 340           7.2            0.605        0.02           1.90     0.096
## 341           7.3            0.740        0.08           1.70     0.094
## 342           8.7            0.780        0.51           1.70     0.415
## 343           7.7            0.750        0.27           3.80     0.110
## 344           8.2            0.885        0.20           1.40     0.086
## 345           5.2            0.490        0.26           2.30     0.090
## 346           7.1            0.755        0.15           1.80     0.107
## 347           6.7            0.480        0.02           2.20     0.080
## 348           8.0            0.520        0.25           2.00     0.078
## 349           7.2            0.670        0.00           2.20     0.068
## 350           8.0            0.500        0.39           2.60     0.082
## 351           7.7            0.280        0.30           2.00     0.062
## 352           6.0            0.510        0.00           2.10     0.064
## 353           8.2            0.240        0.34           5.10     0.062
## 354           6.2            0.580        0.00           1.60     0.065
## 355          10.0            0.320        0.59           2.20     0.077
## 356           7.3            0.340        0.33           2.50     0.064
## 357           7.7            0.640        0.21           2.20     0.077
## 358           7.8            0.530        0.01           1.60     0.077
## 359           7.7            0.230        0.37           1.80     0.046
## 360           6.1            0.400        0.16           1.80     0.069
## 361          10.2            0.540        0.37          15.40     0.214
## 362           7.3            0.670        0.02           2.20     0.072
## 363           7.4            0.785        0.19           5.20     0.094
## 364           7.3            0.670        0.02           2.20     0.072
## 365           6.8            0.670        0.00           1.90     0.080
## 366           7.8            0.320        0.44           2.70     0.104
## 367           6.0            0.540        0.06           1.80     0.050
## 368           6.7            1.040        0.08           2.30     0.067
## 369           5.3            0.470        0.11           2.20     0.048
## 370           5.6            0.620        0.03           1.50     0.080
## 371           7.0            0.655        0.16           2.10     0.074
## 372           6.2            0.570        0.10           2.10     0.048
## 373           7.7            0.540        0.26           1.90     0.089
## 374           7.5            0.725        0.04           1.50     0.076
## 375           7.8            0.820        0.29           4.30     0.083
## 376           6.9            0.840        0.21           4.10     0.074
## 377           6.9            0.840        0.21           4.10     0.074
## 378           6.1            0.320        0.25           2.30     0.071
## 379           6.8            0.480        0.25           2.00     0.076
## 380           6.0            0.420        0.19           2.00     0.075
## 381           7.1            0.690        0.08           2.10     0.063
## 382           8.0            0.390        0.30           1.90     0.074
## 383           5.4            0.580        0.08           1.90     0.059
## 384           7.2            0.390        0.32           1.80     0.065
## 385          11.1            0.440        0.42           2.20     0.064
## 386           8.4            0.370        0.43           2.30     0.063
## 387          11.2            0.400        0.50           2.00     0.099
## 388           7.4            0.360        0.30           1.80     0.074
## 389           6.6            0.880        0.04           2.20     0.066
## 390           6.9            0.630        0.33           6.70     0.235
## 391           7.2            0.695        0.13           2.00     0.076
## 392           7.0            0.560        0.13           1.60     0.077
## 393           6.4            0.360        0.53           2.20     0.230
## 394           7.3            0.690        0.32           2.20     0.069
## 395           6.2            0.700        0.15           5.10     0.076
## 396           6.7            0.320        0.44           2.40     0.061
## 397           7.5            0.310        0.41           2.40     0.065
## 398           6.6            0.725        0.20           7.80     0.073
## 399           5.4            0.740        0.09           1.70     0.089
## 400           6.3            0.510        0.13           2.30     0.076
##     free sulfur dioxide total sulfur dioxide density   pH sulphates   alcohol
## 1                  13.0                   40 0.99780 3.51      0.56  9.400000
## 2                  15.0                   21 0.99460 3.39      0.47 10.000000
## 3                  16.0                   59 0.99430 3.58      0.52  9.900000
## 4                   6.0                   29 0.99740 3.38      0.50  9.000000
## 5                  29.0                   60 0.99680 3.39      0.53  9.400000
## 6                  10.0                   37 0.99660 3.17      0.91  9.500000
## 7                  14.0                   35 0.99720 3.47      0.55  9.400000
## 8                  17.0                   82 0.99580 3.35      0.54 10.100000
## 9                   3.0                   15 0.99750 3.42      0.60 10.800000
## 10                 12.0                   96 0.99540 3.32      0.58  9.200000
## 11                  6.0                   14 0.99550 3.39      0.64  9.400000
## 12                 13.0                   54 0.99660 3.39      0.57  9.800000
## 13                 17.0                   96 0.99620 3.32      0.48  9.500000
## 14                 18.0                   94 0.99610 3.31      0.48  9.500000
## 15                  9.0                   42 0.99860 3.54      0.66 10.500000
## 16                 16.0                   51 0.99690 3.16      1.14  9.400000
## 17                 18.0                   61 0.99590 3.44      0.78 10.300000
## 18                 19.0                   40 0.99610 3.41      0.59 10.100000
## 19                 34.0                  125 0.99780 3.14      1.22  9.500000
## 20                 42.0                  140 0.99640 3.23      0.54  9.500000
## 21                 11.0                   50 0.99720 3.40      0.61 10.200000
## 22                 13.0                   35 0.99720 3.30      0.59  9.000000
## 23                  5.0                   36 0.99600 3.33      0.48  9.400000
## 24                 12.0                   65 0.99670 3.29      0.51  9.200000
## 25                 15.0                   64 0.99690 3.46      0.79  9.300000
## 26                 37.0                  153 0.99690 3.21      0.69  9.300000
## 27                 22.0                   89 0.99590 3.34      0.54  9.200000
## 28                  3.0                   12 0.99640 3.54      0.48 10.900000
## 29                 13.0                   29 0.99590 3.22      0.55  9.900000
## 30                 10.0                   52 0.99680 3.23      0.77  9.500000
## 31                 17.0                  108 0.99620 3.32      0.54  9.500000
## 32                 32.0                  141 0.99680 3.17      0.62  9.400000
## 33                 12.0                   30 0.99590 3.42      0.58 10.200000
## 34                 29.0                  129 0.99730 3.42      0.72 10.500000
## 35                 29.0                  129 0.99730 3.42      0.72 10.500000
## 36                 18.0                  101 0.99560 3.34      0.52 10.200000
## 37                 17.0                   42 0.99560 3.37      0.48  9.000000
## 38                 24.0                   42 0.99610 3.42      0.57 11.500000
## 39                  7.0                   35 0.99610 3.33      0.47  9.500000
## 40                 19.0                   49 0.99580 3.35      0.78  9.500000
## 41                  7.0                   20 0.99690 3.48      0.56  9.600000
## 42                 23.0                  110 0.99720 3.12      1.02  9.300000
## 43                  8.0                   62 0.99700 3.52      0.58  9.300000
## 44                 15.0                  143 0.99680 3.20      0.55  9.500000
## 45                 21.0                   49 0.99740 3.57      0.62  9.800000
## 46                  7.0                   28 0.99640 3.28      0.55  9.700000
## 47                  7.0                   28 0.99640 3.28      0.55  9.700000
## 48                 12.0                   27 0.99810 3.11      0.97 10.100000
## 49                 12.0                   31 0.99480 3.51      0.43 11.400000
## 50                 14.0                   37 0.99615 3.34      0.56  9.200000
## 51                 26.0                  120 0.99625 3.29      0.53  9.300000
## 52                 26.0                  121 0.99740 3.34      0.76 10.500000
## 53                 10.0                   44 0.99570 3.39      0.54  9.700000
## 54                  5.0                   10 0.99525 3.42      0.60  9.500000
## 55                 15.0                   55 0.99745 3.31      0.57 10.400000
## 56                 27.0                   81 0.99640 3.04      1.61  9.500000
## 57                 18.0                   58 0.99800 3.34      0.70  9.600000
## 58                 14.0                   38 0.99675 3.37      0.58  9.000000
## 59                 28.0                  109 0.99565 3.08      0.49  9.800000
## 60                 10.0                   24 1.00005 3.07      0.84  9.200000
## 61                 16.0                   51 0.99685 3.38      0.52  9.500000
## 62                 11.0                   73 0.99630 3.20      0.45  9.300000
## 63                  9.0                   39 0.99615 3.35      0.48  9.800000
## 64                  8.0                   86 0.99590 3.23      0.59  9.500000
## 65                  8.0                   45 0.99680 3.06      1.26  9.400000
## 66                 27.0                   61 0.99650 3.36      0.67 10.700000
## 67                 17.0                   65 0.99935 3.22      0.78 10.100000
## 68                 10.0                   47 0.99910 3.38      0.77 10.500000
## 69                  5.0                   10 0.99720 3.25      1.08  9.900000
## 70                 10.0                   47 0.99910 3.38      0.77 10.500000
## 71                 29.0                   53 0.99670 3.37      0.70 10.300000
## 72                  5.0                   16 0.99640 3.41      0.60 10.100000
## 73                  8.0                   33 0.99845 3.68      0.71  9.600000
## 74                  5.0                   21 0.99600 3.39      0.54  9.500000
## 75                 12.0                   90 0.99730 3.20      0.52  9.200000
## 76                 30.0                  135 0.99760 3.30      0.53  9.400000
## 77                 20.0                   53 0.99620 3.42      0.65 11.000000
## 78                 21.0                   59 0.99890 3.37      0.71 11.500000
## 79                  6.0                   18 0.99735 3.29      0.63  9.300000
## 80                 17.0                   38 0.99630 3.34      0.74 11.700000
## 81                 28.0                   99 1.00080 3.16      1.00 11.500000
## 82                 10.0                   21 1.00000 3.12      1.18  9.200000
## 83                 17.0                   34 0.99550 3.58      0.89 12.300000
## 84                  6.0                   15 0.99860 3.02      0.93 12.000000
## 85                 15.0                   46 0.99790 3.11      0.92 10.000000
## 86                 17.0                   34 1.00040 3.28      0.98  9.900000
## 87                 23.0                   77 1.00180 3.18      0.77 13.000000
## 88                 17.0                   32 0.99550 3.55      0.61 12.800000
## 89                 10.0                   41 1.00100 3.17      0.68  9.800000
## 90                 14.0                   81 0.99730 3.19      0.70  9.400000
## 91                  7.0                   21 0.99790 3.26      0.93 11.800000
## 92                  7.0                   42 1.00220 3.07      0.73 10.000000
## 93                 11.0                   27 0.99740 3.21      0.80  9.400000
## 94                 23.0                   53 0.99810 3.43      0.74  9.200000
## 95                  7.0                   38 1.00040 3.22      0.60 13.000000
## 96                 10.0                   41 0.99940 3.15      0.63 10.500000
## 97                 15.0                   27 0.99740 3.26      0.61  9.100000
## 98                 26.0                   49 0.99810 3.05      0.57  9.600000
## 99                 26.0                   86 0.99870 3.38      0.62  9.500000
## 100                23.0                   78 0.99870 3.38      0.62  9.500000
## 101                15.0                   77 0.99660 3.27      0.64  9.300000
## 102                 6.0                   20 0.99700 3.26      0.66 11.700000
## 103                32.0                   48 0.99520 3.52      0.56 12.300000
## 104                15.0                   60 0.99550 3.36      0.44 10.900000
## 105                32.0                   48 0.99520 3.52      0.56 12.300000
## 106                13.0                   35 0.99970 3.10      0.60 10.400000
## 107                12.0                   24 0.99580 3.00      0.65 12.800000
## 108                38.0                   62 0.99580 3.26      0.56 10.200000
## 109                 7.0                   50 0.99510 3.08      0.60  9.300000
## 110                 6.0                   43 1.00320 2.95      0.68 11.200000
## 111                 6.0                   31 0.99860 3.23      0.56 10.100000
## 112                 7.0                   27 0.99670 3.20      0.56 10.200000
## 113                 9.0                   26 0.99790 3.06      1.06  9.100000
## 114                 5.0                   22 0.99980 3.26      0.74 11.200000
## 115                21.0                   67 0.99520 3.50      0.63 11.100000
## 116                10.0                   47 1.00080 3.25      0.57  9.000000
## 117                10.0                   25 0.99700 3.18      0.61 11.800000
## 118                 5.0                   28 0.99880 3.14      0.60 10.200000
## 119                 6.0                   16 0.99800 3.28      0.70  9.700000
## 120                 7.0                   18 0.99860 3.04      1.06  9.400000
## 121                 6.0                   17 0.99760 3.17      0.47 10.000000
## 122                24.0                   56 0.99840 3.31      0.67 10.600000
## 123                23.0                   81 1.00020 3.48      0.74 11.600000
## 124                14.0                   38 0.99840 3.43      0.65  9.000000
## 125                14.0                   38 0.99840 3.43      0.65  9.000000
## 126                38.0                   76 0.99900 3.17      0.85 12.000000
## 127                 6.0                   24 0.99760 3.18      1.04 10.900000
## 128                 6.0                   21 0.99760 3.25      1.02 10.800000
## 129                26.0                   62 0.99940 3.18      0.63 10.200000
## 130                19.0                   43 0.99780 3.02      0.61  9.500000
## 131                 6.0                   15 0.99730 3.09      0.66 11.800000
## 132                34.0                  151 1.00100 3.31      1.14  9.300000
## 133                11.0                   32 0.99720 3.22      0.68 11.700000
## 134                39.0                  106 0.99660 3.36      0.78 11.000000
## 135                15.0                   33 0.99820 3.42      0.90 10.000000
## 136                 1.0                   28 0.99900 3.41      0.87 10.300000
## 137                15.0                   33 0.99560 3.22      0.66 12.800000
## 138                 5.0                   13 0.99720 3.37      0.77 10.700000
## 139                 5.0                   35 1.00140 3.20      0.66 12.000000
## 140                16.0                   53 0.99930 3.06      0.72 11.000000
## 141                27.0                   69 0.99940 3.12      0.75 10.400000
## 142                 6.0                   25 0.99750 3.27      0.61  9.400000
## 143                32.0                   96 0.99340 3.74      0.62 11.500000
## 144                10.0                   23 1.00315 2.92      0.74 11.100000
## 145                10.0                   17 1.00020 3.07      0.56 11.700000
## 146                26.0                  121 0.99780 3.23      0.58  9.200000
## 147                25.0                   60 0.99710 3.31      0.61 10.100000
## 148                 6.0                   47 1.00210 3.30      0.68 12.700000
## 149                 5.0                   19 0.99940 3.14      0.57 11.400000
## 150                19.0                   42 0.99460 3.57      0.57 11.700000
## 151                10.0                   28 0.99780 3.14      0.61 10.400000
## 152                17.0                  110 0.99820 3.29      0.60  9.800000
## 153                19.0                   50 0.99170 3.72      0.74 14.000000
## 154                21.0                   75 0.99870 3.35      0.57  9.700000
## 155                23.0                  149 0.99220 3.12      0.50 11.500000
## 156                 9.0                   43 1.00040 3.29      0.58  9.000000
## 157                 5.0                   18 0.99800 3.09      0.63 10.000000
## 158                26.0                   52 0.99820 3.31      0.53 10.500000
## 159                25.0                   57 0.99830 3.39      0.54  9.200000
## 160                 4.0                   17 1.00060 3.13      0.70 10.200000
## 161                 6.0                   16 0.99880 3.09      0.80  9.300000
## 162                16.0                  112 0.99760 3.27      0.61  9.400000
## 163                 5.0                   15 0.99880 3.36      0.49  9.100000
## 164                20.0                   84 0.99640 3.21      0.61  9.300000
## 165                 5.0                   19 0.99880 3.25      0.63  9.500000
## 166                21.0                   43 0.99640 3.32      0.57 10.500000
## 167                30.0                  147 0.99790 3.24      0.53  9.400000
## 168                 6.0                   20 0.99720 3.40      0.63 10.100000
## 169                 5.0                   14 0.99670 3.32      0.58 11.000000
## 170                22.0                   71 0.99760 2.98      0.84 14.900000
## 171                 9.0                   30 0.99760 3.12      0.54 12.000000
## 172                 9.0                   27 0.99720 3.36      0.70  9.600000
## 173                 5.0                   13 0.99740 3.04      0.79 10.200000
## 174                 6.0                   15 0.99880 2.94      0.66  9.200000
## 175                35.0                  152 0.99800 3.25      0.48  9.400000
## 176                13.0                   40 0.99700 3.44      0.60  9.100000
## 177                 4.0                    9 0.99620 3.40      0.47  9.400000
## 178                 8.0                   25 0.99720 3.47      0.67  9.500000
## 179                 5.0                   19 0.99860 3.11      0.62 10.800000
## 180                 8.0                   25 0.99720 3.47      0.67  9.500000
## 181                16.0                   37 0.99660 3.37      0.51 10.500000
## 182                11.0                   35 0.99600 3.34      0.61 11.600000
## 183                13.0                   33 0.99830 3.27      0.66 10.000000
## 184                21.0                   84 0.99850 3.06      0.57 10.100000
## 185                16.0                  112 0.99980 3.38      0.61  9.500000
## 186                 4.0                   11 0.99700 3.46      0.68  9.500000
## 187                16.0                   72 0.99800 3.55      0.60  9.500000
## 188                11.0                   22 0.99630 3.26      0.50  9.500000
## 189                25.0                  101 1.00024 3.13      0.53 10.000000
## 190                12.0                   28 0.99768 3.52      0.73  9.500000
## 191                17.0                   40 0.99803 3.29      0.55  9.500000
## 192                17.0                   40 0.99803 3.29      0.55  9.500000
## 193                14.0                   32 0.99656 3.09      1.06  9.100000
## 194                15.0                   33 0.99488 3.60      0.46 11.200000
## 195                10.0                   31 0.99656 3.25      0.50  9.800000
## 196                10.0                   31 0.99656 3.25      0.50  9.800000
## 197                13.0                   98 0.99938 3.45      0.62  9.500000
## 198                23.0                  144 0.99782 3.27      0.55  9.400000
## 199                 1.0                   44 0.99730 3.30      0.92  9.500000
## 200                 7.0                   16 0.99586 3.43      0.46 10.000000
## 201                12.0                   45 0.99676 3.31      0.60  9.400000
## 202                11.0                   61 0.99820 3.21      0.50  9.500000
## 203                25.0                  130 0.99818 3.23      0.54  9.600000
## 204                 7.0                   26 0.99531 3.17      0.53 12.500000
## 205                21.0                   42 0.99526 3.24      0.81 10.800000
## 206                26.0                  108 0.99641 3.25      0.51  9.400000
## 207                 8.0                   17 0.99735 3.23      0.44 10.000000
## 208                 4.0                    7 0.99462 3.44      0.58 11.400000
## 209                15.0                   36 0.99730 3.61      0.64  9.800000
## 210                15.0                   36 0.99730 3.61      0.64  9.800000
## 211                 6.0                   16 0.99682 3.24      0.53 10.300000
## 212                15.0                   37 0.99624 3.36      0.49 10.700000
## 213                15.0                   37 0.99624 3.36      0.49 10.700000
## 214                27.0                   55 0.99655 3.39      0.51  9.300000
## 215                36.0                  100 0.99064 3.26      0.39 11.700000
## 216                13.0                   26 0.99647 3.46      0.47 10.000000
## 217                14.0                   31 0.99689 3.59      0.66  9.800000
## 218                 9.0                   22 0.99708 3.28      0.55  9.500000
## 219                41.0                   55 0.99652 3.47      0.73 10.900000
## 220                17.0                   84 0.99746 3.51      0.53  9.700000
## 221                16.0                   86 0.99748 3.51      0.54  9.700000
## 222                13.0                   22 0.99438 3.40      0.84 11.200000
## 223                15.0                   24 0.99438 3.40      0.82 11.200000
## 224                 6.0                   10 0.99552 3.23      0.58 11.100000
## 225                 7.0                   16 0.99614 3.31      0.79 11.800000
## 226                31.0                   43 0.99371 3.41      0.57 11.800000
## 227                14.0                   26 0.99536 3.22      0.78 12.000000
## 228                 8.0                   28 0.99836 3.33      0.65 10.400000
## 229                30.0                   52 0.99576 3.44      0.58 10.100000
## 230                17.0                   88 0.99745 3.53      0.58  9.800000
## 231                27.0                   43 0.99550 3.42      0.58 10.700000
## 232                17.0                   43 0.99444 3.31      0.77 12.500000
## 233                 6.0                    9 0.99480 3.59      0.54 11.500000
## 234                 4.0                    8 0.99674 3.33      0.62 12.200000
## 235                 7.0                   62 0.99395 3.62      0.61 11.000000
## 236                38.0                   46 0.99504 3.38      0.89 11.800000
## 237                10.0                   23 0.99786 3.24      0.56 10.500000
## 238                26.0                   45 0.99824 3.38      0.64 10.100000
## 239                14.0                   28 0.99516 3.18      0.80 11.200000
## 240                19.0                   72 0.99543 3.39      0.72 11.800000
## 241                 7.0                   11 0.99425 3.61      0.54 11.400000
## 242                13.0                   25 0.99509 3.36      0.76 12.400000
## 243                13.0                   52 0.99834 3.22      0.64 10.000000
## 244                 6.0                   12 0.99408 3.26      0.62 12.400000
## 245                 5.0                   10 0.99568 3.31      0.62 11.300000
## 246                12.0                   51 0.99613 3.29      0.58 11.100000
## 247                 7.0                   18 0.99592 3.27      0.62  9.300000
## 248                 6.0                   16 0.99654 3.38      0.69  9.500000
## 249                31.0                  119 0.99801 3.15      0.50  9.100000
## 250                13.0                   28 0.99712 3.25      0.62 10.000000
## 251                51.0                   70 0.99418 3.34      0.82 12.900000
## 252                19.0                   27 0.99596 3.16      0.49  9.400000
## 253                31.0                   68 0.99694 3.45      0.48  9.400000
## 254                20.0                   88 0.99918 3.15      0.43  9.400000
## 255                31.0                   47 0.99676 3.26      0.82 10.600000
## 256                 4.0                    8 0.99280 3.36      0.55 12.800000
## 257                10.0                   23 0.99636 3.53      0.61 10.400000
## 258                 4.0                    9 0.99584 3.35      0.54 10.500000
## 259                41.0                   68 0.99586 3.37      0.54 10.100000
## 260                15.0                   48 0.99739 3.20      0.47  9.700000
## 261                33.0                   45 0.99612 3.31      0.62 10.700000
## 262                27.0                   51 0.99634 3.49      0.64 10.400000
## 263                 9.0                   20 0.99426 3.38      0.77 12.700000
## 264                30.0                   52 0.99710 3.19      0.76 11.600000
## 265                 3.0                    8 0.99810 3.14      0.70  9.900000
## 266                 6.0                   15 0.99560 3.30      0.64 11.400000
## 267                13.0                   26 0.99358 3.40      0.72 12.500000
## 268                28.0                   52 0.99700 3.31      0.62 10.800000
## 269                19.0                   37 0.99498 3.18      0.89 11.100000
## 270                45.0                   67 0.99769 3.44      0.86 10.200000
## 271                 3.0                    8 0.99817 3.27      0.58 11.000000
## 272                37.5                  278 0.99316 3.01      0.51 12.300000
## 273                 3.0                    9 0.99738 3.38      0.66 11.600000
## 274                22.0                   41 0.99735 3.02      0.76  9.900000
## 275                 8.0                   19 0.99546 3.35      0.60 11.400000
## 276                 9.0                   17 0.99655 3.35      0.49 10.800000
## 277                23.0                   36 0.99392 3.11      0.78 12.400000
## 278                14.0                   25 0.99388 3.35      0.63 12.000000
## 279                23.0                   55 0.99471 3.78      0.64 12.300000
## 280                15.0                   21 0.99572 3.38      0.60 11.300000
## 281                 7.0                   15 0.99256 3.52      0.58 12.900000
## 282                 8.0                   17 0.99235 3.20      0.72 13.100000
## 283                17.0                   29 0.99674 3.12      0.65 11.200000
## 284                 3.0                   11 0.99150 3.39      0.54 13.500000
## 285                 5.0                   10 0.99770 3.18      0.63 10.400000
## 286                22.0                   50 0.99460 3.38      0.60 11.900000
## 287                 6.0                   13 0.99774 3.22      0.76 11.400000
## 288                 6.0                   12 0.99354 3.30      0.65 11.400000
## 289                 6.0                   21 0.99600 3.28      0.87  9.800000
## 290                50.0                   63 0.99544 3.59      0.68 11.400000
## 291                16.0                  101 0.99240 3.46      0.87 12.900000
## 292                10.0                   21 0.99692 3.29      0.67 10.000000
## 293                 7.0                   60 0.99709 2.94      0.98 10.200000
## 294                29.0                   48 0.99528 3.32      0.88 12.400000
## 295                 8.0                   44 0.99384 3.21      0.56 12.000000
## 296                11.0                   47 0.99599 3.27      0.81 11.000000
## 297                41.0                   54 0.99754 3.38      0.86 10.500000
## 298                 6.0                   39 0.99346 3.33      0.46 11.900000
## 299                11.0                  119 0.99538 3.36      0.70 10.900000
## 300                 5.0                   19 0.99616 3.30      0.44  9.600000
## 301                24.0                   44 0.99534 3.40      0.85 11.000000
## 302                 8.0                   15 0.99498 3.35      0.62 10.400000
## 303                20.0                   29 0.99488 3.26      0.56 11.300000
## 304                43.0                   74 0.99408 3.23      0.81 12.000000
## 305                 8.0                   24 0.99600 3.24      0.69 10.600000
## 306                17.0                   44 0.99734 3.28      0.77 11.500000
## 307                33.0                   89 0.99678 3.26      0.46  9.600000
## 308                 8.0                   21 0.99769 3.27      0.72  9.600000
## 309                19.0                   66 0.99718 3.40      0.64  9.500000
## 310                19.0                   66 0.99718 3.40      0.64  9.500000
## 311                11.0                   18 0.99242 3.39      0.40 12.800000
## 312                11.0                   20 0.99488 3.45      0.56 11.800000
## 313                15.0                   34 0.99655 3.49      0.68 10.500000
## 314                 6.0                   13 0.99569 3.43      0.58  9.500000
## 315                20.0                   35 0.99628 3.40      0.69 10.900000
## 316                15.0                   33 0.99538 3.44      0.63 11.300000
## 317                19.0                   56 0.99632 3.02      1.15  9.300000
## 318                28.0                   87 0.99080 3.50      0.82 14.000000
## 319                25.0                   44 0.99385 3.50      0.53 11.200000
## 320                17.0                   36 0.99440 3.24      0.53 11.200000
## 321                 3.0                   10 0.99566 3.28      0.56 12.000000
## 322                 3.0                    9 0.99480 3.14      0.57 11.500000
## 323                28.0                   54 0.99560 3.37      0.64 10.400000
## 324                20.0                   47 0.99734 3.15      0.57 10.500000
## 325                15.0                   29 0.99323 3.35      0.61 12.100000
## 326                15.0                   29 0.99524 3.41      0.52 11.100000
## 327                27.0                   63 0.99600 3.28      0.61  9.200000
## 328                12.0                   27 0.99290 3.33      0.59 12.800000
## 329                14.0                   41 0.99532 3.34      0.47 10.500000
## 330                 9.0                   18 0.99392 3.18      0.55 11.400000
## 331                18.0                   34 0.99480 3.39      0.60 10.600000
## 332                18.0                   34 0.99480 3.39      0.60 10.600000
## 333                 8.0                   20 0.99852 3.09      0.53 11.000000
## 334                32.0                   73 0.99654 3.34      0.57 10.000000
## 335                 8.0                   46 0.99332 3.32      0.51 11.800000
## 336                14.0                   57 0.99690 3.37      0.46 10.300000
## 337                 7.0                   28 0.99568 3.35      0.52 10.000000
## 338                 5.0                   32 0.99464 3.36      0.44 10.100000
## 339                27.0                   67 0.99648 3.60      0.59 11.100000
## 340                10.0                   31 0.99500 3.46      0.53 11.800000
## 341                10.0                   45 0.99576 3.24      0.50  9.800000
## 342                12.0                   66 0.99623 3.00      1.17  9.200000
## 343                34.0                   89 0.99664 3.24      0.45  9.300000
## 344                 7.0                   31 0.99460 3.11      0.46 10.000000
## 345                23.0                   74 0.99530 3.71      0.62 12.200000
## 346                20.0                   84 0.99593 3.19      0.50  9.500000
## 347                36.0                  111 0.99524 3.10      0.53  9.700000
## 348                19.0                   59 0.99612 3.30      0.48 10.200000
## 349                10.0                   24 0.99560 3.42      0.72 11.100000
## 350                12.0                   46 0.99850 3.43      0.62 10.700000
## 351                18.0                   34 0.99520 3.28      0.90 11.300000
## 352                40.0                   54 0.99500 3.54      0.93 10.700000
## 353                 8.0                   22 0.99740 3.22      0.94 10.900000
## 354                 8.0                   18 0.99660 3.56      0.84  9.400000
## 355                 3.0                   15 0.99940 3.20      0.78  9.600000
## 356                21.0                   37 0.99520 3.35      0.77 12.100000
## 357                32.0                  133 0.99560 3.27      0.45  9.900000
## 358                 3.0                   19 0.99500 3.16      0.46  9.800000
## 359                23.0                   60 0.99710 3.41      0.71 12.100000
## 360                11.0                   25 0.99550 3.42      0.74 10.100000
## 361                55.0                   95 1.00369 3.18      0.77  9.000000
## 362                31.0                   92 0.99566 3.32      0.68 11.066667
## 363                19.0                   98 0.99713 3.16      0.52  9.566667
## 364                31.0                   92 0.99566 3.32      0.68 11.100000
## 365                22.0                   39 0.99701 3.40      0.74  9.700000
## 366                 8.0                   17 0.99732 3.33      0.78 11.000000
## 367                38.0                   89 0.99236 3.30      0.50 10.550000
## 368                19.0                   32 0.99648 3.52      0.57 11.000000
## 369                16.0                   89 0.99182 3.54      0.88 13.566667
## 370                 6.0                   13 0.99498 3.66      0.62 10.100000
## 371                 8.0                   25 0.99606 3.37      0.55  9.700000
## 372                 4.0                   11 0.99448 3.44      0.76 10.800000
## 373                23.0                  147 0.99636 3.26      0.59  9.700000
## 374                 8.0                   15 0.99508 3.26      0.53  9.600000
## 375                21.0                   64 0.99642 3.16      0.53  9.400000
## 376                16.0                   65 0.99842 3.53      0.72  9.233333
## 377                16.0                   65 0.99842 3.53      0.72  9.250000
## 378                23.0                   58 0.99633 3.42      0.97 10.600000
## 379                29.0                   61 0.99530 3.34      0.60 10.400000
## 380                22.0                   47 0.99522 3.39      0.78 10.000000
## 381                42.0                   52 0.99608 3.42      0.60 10.200000
## 382                32.0                   84 0.99717 3.39      0.61  9.000000
## 383                20.0                   31 0.99484 3.50      0.64 10.200000
## 384                34.0                   60 0.99714 3.46      0.78  9.900000
## 385                14.0                   19 0.99758 3.25      0.57 10.400000
## 386                12.0                   19 0.99550 3.17      0.81 11.200000
## 387                19.0                   50 0.99783 3.10      0.58 10.400000
## 388                17.0                   24 0.99419 3.24      0.70 11.400000
## 389                12.0                   20 0.99636 3.53      0.56  9.900000
## 390                66.0                  115 0.99787 3.22      0.56  9.500000
## 391                12.0                   20 0.99546 3.29      0.54 10.100000
## 392                25.0                   42 0.99629 3.34      0.59  9.200000
## 393                19.0                   35 0.99340 3.37      0.93 12.400000
## 394                35.0                  104 0.99632 3.33      0.51  9.500000
## 395                13.0                   27 0.99622 3.54      0.60 11.900000
## 396                24.0                   34 0.99484 3.29      0.80 11.600000
## 397                34.0                   60 0.99492 3.34      0.85 11.400000
## 398                29.0                   79 0.99770 3.29      0.54  9.200000
## 399                16.0                   26 0.99402 3.67      0.56 11.600000
## 400                29.0                   40 0.99574 3.42      0.75 11.000000
##     quality
## 1         0
## 2         1
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## 354       0
## 355       0
## 356       1
## 357       0
## 358       0
## 359       1
## 360       1
## 361       1
## 362       1
## 363       1
## 364       1
## 365       0
## 366       1
## 367       1
## 368       0
## 369       1
## 370       0
## 371       0
## 372       1
## 373       0
## 374       0
## 375       0
## 376       1
## 377       1
## 378       0
## 379       0
## 380       1
## 381       1
## 382       0
## 383       1
## 384       0
## 385       1
## 386       1
## 387       0
## 388       1
## 389       0
## 390       0
## 391       0
## 392       0
## 393       1
## 394       0
## 395       1
## 396       1
## 397       1
## 398       0
## 399       1
## 400       1
df.lda <- lda(formula = train_raw.df$quality ~ ., data = train_raw.df)
df.lda
## Call:
## lda(train_raw.df$quality ~ ., data = train_raw.df)
## 
## Prior probabilities of groups:
##         0         1 
## 0.4612177 0.5387823 
## 
## Group means:
##   `fixed acidity` `volatile acidity` `citric acid` `residual sugar`  chlorides
## 0        8.161121          0.5904069     0.2321338         2.574774 0.09309403
## 1        8.504334          0.4721749     0.2998762         2.535913 0.08130650
##   `free sulfur dioxide` `total sulfur dioxide`   density       pH sulphates
## 0              16.76854               54.01808 0.9971318 3.311374 0.6218445
## 1              14.79025               38.49536 0.9964796 3.308607 0.6922910
##     alcohol
## 0  9.920253
## 1 10.825413
## 
## Coefficients of linear discriminants:
##                                 LD1
## `fixed acidity`          0.16230322
## `volatile acidity`      -2.62462584
## `citric acid`           -0.87406767
## `residual sugar`         0.05912042
## chlorides               -4.17004819
## `free sulfur dioxide`    0.01265074
## `total sulfur dioxide`  -0.01312761
## density                -82.63310228
## pH                      -0.11863955
## sulphates                2.13794530
## alcohol                  0.61999292
train_raw.df$quality
##    [1] 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0
##   [38] 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1
##   [75] 1 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1
##  [112] 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0
##  [149] 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0
##  [186] 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1
##  [223] 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0
##  [260] 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0
##  [297] 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1
##  [334] 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 1
##  [371] 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0
##  [408] 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1
##  [445] 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0
##  [482] 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0
##  [519] 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 0 1 0
##  [556] 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1
##  [593] 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0
##  [630] 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1
##  [667] 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1
##  [704] 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 1
##  [741] 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 1 0
##  [778] 0 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0
##  [815] 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0
##  [852] 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0
##  [889] 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1
##  [926] 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0
##  [963] 1 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0
## [1000] 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0
## [1037] 1 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1
## [1074] 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1
## [1111] 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0
## [1148] 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1
## [1185] 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0
summary(df.lda)
##         Length Class  Mode     
## prior    2     -none- numeric  
## counts   2     -none- numeric  
## means   22     -none- numeric  
## scaling 11     -none- numeric  
## lev      2     -none- character
## svd      1     -none- numeric  
## N        1     -none- numeric  
## call     3     -none- call     
## terms    3     terms  call     
## xlevels  0     -none- list
print(df.lda)
## Call:
## lda(train_raw.df$quality ~ ., data = train_raw.df)
## 
## Prior probabilities of groups:
##         0         1 
## 0.4612177 0.5387823 
## 
## Group means:
##   `fixed acidity` `volatile acidity` `citric acid` `residual sugar`  chlorides
## 0        8.161121          0.5904069     0.2321338         2.574774 0.09309403
## 1        8.504334          0.4721749     0.2998762         2.535913 0.08130650
##   `free sulfur dioxide` `total sulfur dioxide`   density       pH sulphates
## 0              16.76854               54.01808 0.9971318 3.311374 0.6218445
## 1              14.79025               38.49536 0.9964796 3.308607 0.6922910
##     alcohol
## 0  9.920253
## 1 10.825413
## 
## Coefficients of linear discriminants:
##                                 LD1
## `fixed acidity`          0.16230322
## `volatile acidity`      -2.62462584
## `citric acid`           -0.87406767
## `residual sugar`         0.05912042
## chlorides               -4.17004819
## `free sulfur dioxide`    0.01265074
## `total sulfur dioxide`  -0.01312761
## density                -82.63310228
## pH                      -0.11863955
## sulphates                2.13794530
## alcohol                  0.61999292
par(mar = c(5, 5, 2, 2))  # Set margin size (bottom, left, top, right)
plot(df.lda)

df.lda.predict <- predict(df.lda, newdata = test_raw.df)
df.lda.predict$class
##   [1] 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0
##  [38] 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0
##  [75] 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0
## [112] 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1
## [149] 1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 0
## [186] 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1
## [223] 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1
## [260] 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1
## [297] 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1
## [334] 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0
## [371] 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1
## Levels: 0 1
df.lda.predict$x
##             LD1
## 1   -1.17042367
## 2   -0.42121013
## 3   -1.12074866
## 4   -1.22073170
## 5   -0.22743493
## 6    0.14095002
## 7   -1.25404936
## 8   -1.33277039
## 9    0.10986563
## 10  -1.49500908
## 11  -0.24027120
## 12  -1.29010491
## 13  -2.02431399
## 14  -2.01485406
## 15  -0.14859581
## 16  -1.55014312
## 17   0.18259908
## 18  -0.34812041
## 19   0.01306484
## 20  -1.73759381
## 21  -0.66618984
## 22  -0.97097643
## 23  -0.97161214
## 24  -1.47135676
## 25  -1.39726362
## 26  -2.87747978
## 27  -1.99473224
## 28  -1.73235451
## 29  -1.51978648
## 30  -0.92685955
## 31  -1.69038840
## 32  -2.57321406
## 33  -0.03400636
## 34  -0.63285109
## 35  -0.63285109
## 36  -1.45177654
## 37  -1.11976382
## 38   0.51338167
## 39  -0.62318990
## 40  -0.25168272
## 41  -1.15676578
## 42  -1.80048639
## 43  -1.67975461
## 44  -2.15029156
## 45  -0.39475404
## 46  -0.60326130
## 47  -0.60326130
## 48   1.45185535
## 49  -1.04104166
## 50  -0.93200181
## 51  -1.97293145
## 52  -0.66631685
## 53  -0.63179523
## 54  -0.45268085
## 55  -0.78131654
## 56  -0.14384024
## 57  -0.15508271
## 58  -1.27293257
## 59  -1.50078743
## 60   1.39621332
## 61  -1.36292526
## 62  -1.58458260
## 63  -0.63990425
## 64  -2.20641591
## 65  -1.86132262
## 66   0.30795448
## 67   0.33164485
## 68   0.55946458
## 69   0.02266293
## 70   0.55946458
## 71   0.41993974
## 72   0.11777655
## 73  -0.93393000
## 74  -1.44582211
## 75  -2.44332318
## 76  -1.72718442
## 77   0.54004356
## 78   0.32779725
## 79  -0.68014603
## 80   0.98889808
## 81   0.98604048
## 82   1.36195732
## 83   1.15577530
## 84   2.35944488
## 85   0.30626915
## 86   0.21614574
## 87   1.49037046
## 88   1.04977674
## 89   0.05403163
## 90  -1.58184641
## 91   1.87953165
## 92  -0.22773897
## 93   0.37647439
## 94  -0.65475213
## 95   1.93984314
## 96  -0.08945269
## 97  -1.01139360
## 98   0.15590351
## 99  -0.89180457
## 100 -0.87565083
## 101 -1.87790204
## 102  1.04504401
## 103  0.44434233
## 104 -1.31131124
## 105  0.44434233
## 106 -0.67303188
## 107  2.45858003
## 108 -0.56875202
## 109 -1.16075520
## 110  0.30345531
## 111 -0.68208374
## 112 -0.20075697
## 113 -1.05842829
## 114  1.15384199
## 115  0.74827066
## 116 -1.40136276
## 117  1.73109177
## 118 -0.50291669
## 119  0.47087021
## 120  0.58597793
## 121 -0.53979970
## 122 -0.47083762
## 123 -0.14172552
## 124 -1.03244477
## 125 -1.03244477
## 126  1.55766427
## 127  2.09852409
## 128  2.07644492
## 129 -0.44633424
## 130  0.28013824
## 131  1.10159531
## 132 -1.60302269
## 133  2.00157772
## 134  0.18828046
## 135  1.05962143
## 136  1.19496026
## 137  2.79949324
## 138 -0.14505701
## 139  1.91110432
## 140  0.36702749
## 141  0.79371807
## 142 -1.12372326
## 143 -1.40287997
## 144  1.06574212
## 145  0.84061932
## 146 -1.68554917
## 147 -0.10110699
## 148  1.70663426
## 149  0.82561101
## 150  0.90699112
## 151  0.88391318
## 152 -1.39124862
## 153  2.59513093
## 154 -0.98436488
## 155 -0.62665092
## 156 -1.28813410
## 157  0.02809924
## 158 -0.19588765
## 159 -0.57002674
## 160  0.22099200
## 161  0.48549272
## 162 -1.58408749
## 163 -1.28497110
## 164 -1.81805918
## 165  0.10429670
## 166  0.32015048
## 167 -2.87587203
## 168 -0.46335000
## 169 -0.08585141
## 170  4.47270489
## 171  1.25974145
## 172 -0.42436350
## 173  1.29710801
## 174  0.20616486
## 175 -3.23211966
## 176 -1.35541913
## 177 -0.77245031
## 178 -0.68615434
## 179  0.98437483
## 180 -0.68615434
## 181 -0.05950649
## 182  0.84214266
## 183  0.41790799
## 184 -1.97211047
## 185 -1.86711084
## 186 -0.42319634
## 187 -1.21322485
## 188 -1.84787843
## 189 -0.86566314
## 190 -0.33264580
## 191 -0.98054163
## 192 -0.98054163
## 193 -1.49822414
## 194 -0.86069465
## 195 -1.28863707
## 196 -1.28863707
## 197 -2.03453761
## 198 -2.06232148
## 199 -0.30872174
## 200 -1.56974513
## 201 -1.34996472
## 202 -0.67791959
## 203 -1.95841384
## 204  2.10247889
## 205  1.37631971
## 206 -1.73011259
## 207 -0.22321851
## 208  1.02561949
## 209 -0.54875829
## 210 -0.54875829
## 211 -0.06973436
## 212  0.10611392
## 213  0.10611392
## 214 -1.28987085
## 215  0.95392462
## 216 -0.58071221
## 217 -0.83051300
## 218 -0.36566507
## 219  1.10712999
## 220 -1.49852623
## 221 -1.55573336
## 222  1.21198171
## 223  1.00938394
## 224  1.60834719
## 225  1.92289904
## 226  0.83630510
## 227  1.75243682
## 228 -0.49919621
## 229  0.16688547
## 230 -1.40978701
## 231  0.15178936
## 232  2.25988580
## 233  0.70404777
## 234  1.77806295
## 235 -1.15878674
## 236  1.67898484
## 237  0.37651829
## 238  0.17661914
## 239  1.45656060
## 240  1.45758377
## 241  0.79116885
## 242  2.35228654
## 243 -0.12647893
## 244  2.10045819
## 245  1.08754412
## 246  0.53844327
## 247 -0.64035165
## 248 -0.54461661
## 249 -2.27064665
## 250 -0.84769727
## 251  2.07171966
## 252 -0.32514904
## 253 -0.87405211
## 254 -1.24846464
## 255  1.32125297
## 256  2.09702563
## 257  0.07844175
## 258  0.26490531
## 259  0.04962754
## 260 -1.28982879
## 261 -0.17880448
## 262  0.15351976
## 263  2.53991646
## 264  0.98364108
## 265  1.06778201
## 266  1.04462829
## 267  1.86317631
## 268 -0.14239955
## 269  1.81504682
## 270  1.11806016
## 271  0.79466427
## 272 -0.93084695
## 273  1.66156971
## 274  0.52790548
## 275  1.09972686
## 276 -0.41398984
## 277  2.37231445
## 278  1.38828748
## 279  0.96172704
## 280  0.32492543
## 281  1.51317623
## 282  2.32756929
## 283  1.34233586
## 284  2.64610431
## 285  0.44945800
## 286  1.55258383
## 287  1.25440560
## 288  1.46071260
## 289  0.02769095
## 290  0.67730531
## 291  1.37004546
## 292 -0.54955528
## 293  0.36650305
## 294  2.40250250
## 295  1.23890266
## 296  1.10323246
## 297  1.21809329
## 298  0.71696529
## 299 -1.05100583
## 300 -1.55881556
## 301  1.11930675
## 302  0.01139911
## 303  1.29456288
## 304  1.97713261
## 305  0.69706705
## 306  1.41214692
## 307 -1.26285527
## 308 -0.33858886
## 309 -0.73813818
## 310 -0.73813818
## 311  1.11451072
## 312  0.85375981
## 313  0.07129892
## 314 -0.64599578
## 315  0.22706851
## 316  0.29084730
## 317 -1.62650449
## 318  2.63065088
## 319  0.58735308
## 320  0.36393121
## 321  1.79460299
## 322  1.76699055
## 323  0.12397439
## 324  0.50487084
## 325  1.42675314
## 326  0.11595901
## 327 -1.19063397
## 328  1.81928197
## 329 -1.93465065
## 330  1.46573277
## 331  0.25052557
## 332  0.25052557
## 333  0.86181503
## 334 -0.64508165
## 335  0.59642496
## 336 -0.94011433
## 337 -0.43564685
## 338 -0.29325940
## 339  0.27529722
## 340  0.58367536
## 341 -1.33495802
## 342 -2.12746789
## 343 -2.16853167
## 344 -1.36312712
## 345  0.38572798
## 346 -2.09585425
## 347 -1.08533744
## 348 -0.60962060
## 349  0.58432705
## 350 -0.18138288
## 351  1.96847997
## 352  1.04227981
## 353  1.99679731
## 354 -0.20793494
## 355  0.34414030
## 356  1.94940528
## 357 -1.93290108
## 358 -0.33693432
## 359  1.73271778
## 360  0.37732587
## 361 -0.93729771
## 362 -0.15989432
## 363 -2.11359074
## 364 -0.13922789
## 365 -0.53284728
## 366  1.09659455
## 367 -0.29871677
## 368 -0.98621585
## 369  2.18024302
## 370 -0.37900139
## 371 -0.88149649
## 372  0.75901927
## 373 -1.96586273
## 374 -0.80244424
## 375 -1.78691902
## 376 -1.87251935
## 377 -1.86218613
## 378  0.98158614
## 379 -0.14724159
## 380  0.16975050
## 381 -0.35634340
## 382 -1.02858603
## 383 -0.16283866
## 384  0.11169106
## 385  0.68865463
## 386  1.60066892
## 387  0.25698375
## 388  1.48919487
## 389 -1.17495128
## 390 -2.06225760
## 391 -0.54012126
## 392 -0.89603724
## 393  1.54145187
## 394 -1.95952253
## 395  0.52280474
## 396  1.68330975
## 397  1.60448604
## 398 -1.72457627
## 399  0.03113497
## 400  0.73800985
# Get the posteriors as a dataframe.
df.predict.posteriors <- as.data.frame(df.lda.predict$posterior)
df.predict.posteriors
##               0          1
## 1   0.785649266 0.21435073
## 2   0.580807508 0.41919249
## 3   0.774587208 0.22541279
## 4   0.796444496 0.20355550
## 5   0.518612397 0.48138760
## 6   0.400389804 0.59961020
## 7   0.803368115 0.19663188
## 8   0.819015864 0.18098414
## 9   0.410117413 0.58988259
## 10  0.848174044 0.15182596
## 11  0.522772012 0.47722799
## 12  0.810658646 0.18934135
## 13  0.917406590 0.08259341
## 14  0.916471091 0.08352891
## 15  0.493029516 0.50697048
## 16  0.857164862 0.14283514
## 17  0.387479392 0.61252061
## 18  0.557540614 0.44245939
## 19  0.440831005 0.55916900
## 20  0.884457126 0.11554287
## 21  0.655697799 0.34430220
## 22  0.738835897 0.26116410
## 23  0.738995139 0.26100486
## 24  0.844176802 0.15582320
## 25  0.831098774 0.16890123
## 26  0.971122900 0.02887710
## 27  0.914449139 0.08555086
## 28  0.883760097 0.11623990
## 29  0.852270737 0.14772926
## 30  0.727632494 0.27236751
## 31  0.878044285 0.12195571
## 32  0.957723747 0.04227625
## 33  0.455946751 0.54405325
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## 386 0.091189541 0.90881046
## 387 0.364820116 0.63517988
## 388 0.103915733 0.89608427
## 389 0.786637622 0.21336238
## 390 0.921063723 0.07893628
## 391 0.617863092 0.38213691
## 392 0.719629176 0.28037082
## 393 0.097765153 0.90223485
## 394 0.910804132 0.08919587
## 395 0.289121186 0.71087881
## 396 0.082678352 0.91732165
## 397 0.090779625 0.90922037
## 398 0.882718559 0.11728144
## 399 0.435055693 0.56494431
## 400 0.235216461 0.76478354
pred <- prediction(df.predict.posteriors[,2], test_raw.df$quality)
pred
## A prediction instance
##   with 400 data points
colnames(df.predict.posteriors)
## [1] "0" "1"
str(df.predict.posteriors)
## 'data.frame':    400 obs. of  2 variables:
##  $ 0: num  0.786 0.581 0.775 0.796 0.519 ...
##  $ 1: num  0.214 0.419 0.225 0.204 0.481 ...
head(df.predict.posteriors)
##           0         1
## 1 0.7856493 0.2143507
## 2 0.5808075 0.4191925
## 3 0.7745872 0.2254128
## 4 0.7964445 0.2035555
## 5 0.5186124 0.4813876
## 6 0.4003898 0.5996102
  1. Model Insights LDA
roc.perf = performance(pred, measure = "tpr", x.measure = "fpr")
auc.train <- performance(pred, measure = "auc")
auc.train <- auc.train@y.values
plot(roc.perf)
abline(a=0, b= 1)
text(x = .25, y = .65 ,paste("AUC = ", round(auc.train[[1]],3), sep = ""))

# Read the CSV file
df <- read_csv("C:/Rutgers/Subjects/Spring Sem/Multivariate Analysis/Data/wine_new.csv")
## Rows: 1143 Columns: 12
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): quality
## dbl (11): fixed acidity, volatile acidity, citric acid, residual sugar, chlo...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
# Select specific columns by names
df <- df[c("alcohol","volatile acidity","quality")]
df
## # A tibble: 1,143 × 3
##    alcohol `volatile acidity` quality  
##      <dbl>              <dbl> <chr>    
##  1     9.4               0.7  Average  
##  2     9.8               0.88 Average  
##  3     9.8               0.76 Average  
##  4     9.8               0.28 Good     
##  5     9.4               0.7  Average  
##  6     9.4               0.66 Average  
##  7     9.4               0.6  Average  
##  8    10                 0.65 Very Good
##  9     9.5               0.58 Very Good
## 10     9.2               0.58 Average  
## # ℹ 1,133 more rows
  1. Model Insights (10 points): LDA

Prior Probabilities: These represent the class proportions in the dataset. Notably, “Average” and “Good” classes dominate, while “Bad” is rare.

Group Means: Average alcohol and volatile acidity levels vary across quality classes.

Coefficients of Linear Discriminants: Alcohol positively influences LD1, while volatile acidity negatively affects both LD1 and LD2.

Proportion of Trace: LD1 explains most variance (95%), indicating its importance in class separation.

In summary, alcohol and volatile acidity significantly influence quality class discrimination, with alcohol predominantly shaping LD1, while both variables contribute to LD2.

r <- lda(formula = quality ~ ., data = df)
r
## Call:
## lda(quality ~ ., data = df)
## 
## Prior probabilities of groups:
##     Average         Bad   Excellent        Good        Poor   Very Good 
## 0.422572178 0.005249344 0.013998250 0.404199475 0.028871391 0.125109361 
## 
## Group means:
##             alcohol `volatile acidity`
## Average    9.902277          0.5852795
## Bad        9.691667          0.8975000
## Excellent 11.937500          0.4100000
## Good      10.655339          0.5049567
## Poor      10.260606          0.7000000
## Very Good 11.482634          0.3936713
## 
## Coefficients of linear discriminants:
##                           LD1        LD2
## alcohol             0.8636293 -0.6433275
## `volatile acidity` -3.5787372 -4.9558022
## 
## Proportion of trace:
##   LD1   LD2 
## 0.949 0.051
  1. Model Acceptance

Prior Probabilities of Groups: The prior probabilities indicate the proportion of each quality class in the dataset. “Average” and “Good” classes are most prevalent, while “Bad” is rarest.

Group Means: Average alcohol and volatile acidity levels differ across quality classes. For instance, “Excellent” quality wines have the highest alcohol content on average.

Coefficients of Linear Discriminants: The coefficients show the weights assigned to each predictor variable (alcohol and volatile acidity) in the linear combination used for classification.

Higher alcohol content and lower volatile acidity contribute positively to LD1.

Proportion of Trace: LD1 explains approximately 95% of the total variance, suggesting its significance in class separation. LD2 explains the remaining 5%.

summary(r)
##         Length Class  Mode     
## prior    6     -none- numeric  
## counts   6     -none- numeric  
## means   12     -none- numeric  
## scaling  4     -none- numeric  
## lev      6     -none- character
## svd      2     -none- numeric  
## N        1     -none- numeric  
## call     3     -none- call     
## terms    3     terms  call     
## xlevels  0     -none- list
print(r)
## Call:
## lda(quality ~ ., data = df)
## 
## Prior probabilities of groups:
##     Average         Bad   Excellent        Good        Poor   Very Good 
## 0.422572178 0.005249344 0.013998250 0.404199475 0.028871391 0.125109361 
## 
## Group means:
##             alcohol `volatile acidity`
## Average    9.902277          0.5852795
## Bad        9.691667          0.8975000
## Excellent 11.937500          0.4100000
## Good      10.655339          0.5049567
## Poor      10.260606          0.7000000
## Very Good 11.482634          0.3936713
## 
## Coefficients of linear discriminants:
##                           LD1        LD2
## alcohol             0.8636293 -0.6433275
## `volatile acidity` -3.5787372 -4.9558022
## 
## Proportion of trace:
##   LD1   LD2 
## 0.949 0.051
r$counts
##   Average       Bad Excellent      Good      Poor Very Good 
##       483         6        16       462        33       143
r$means
##             alcohol `volatile acidity`
## Average    9.902277          0.5852795
## Bad        9.691667          0.8975000
## Excellent 11.937500          0.4100000
## Good      10.655339          0.5049567
## Poor      10.260606          0.7000000
## Very Good 11.482634          0.3936713
r$scaling
##                           LD1        LD2
## alcohol             0.8636293 -0.6433275
## `volatile acidity` -3.5787372 -4.9558022
r$prior
##     Average         Bad   Excellent        Good        Poor   Very Good 
## 0.422572178 0.005249344 0.013998250 0.404199475 0.028871391 0.125109361
r$lev
## [1] "Average"   "Bad"       "Excellent" "Good"      "Poor"      "Very Good"
r$svd
## [1] 11.066348  2.565922
#singular values (svd) that gives the ratio of the between- and within-group standard deviations on the linear discriminant variables.
r$N
## [1] 1143
r$call
## lda(formula = quality ~ ., data = df)
(prop = r$svd^2/sum(r$svd^2))
## [1] 0.94898058 0.05101942
#we can use the singular values to compute the amount of the between-group variance that is explained by each linear discriminant. In our example we see that the first linear discriminant explains more than 99% of the between-group variance in the iris dataset.
r2 <- lda(formula = quality ~ ., data = df, CV = TRUE)
r2
## $class
##    [1] Average   Average   Average   Good      Average   Average   Average  
##    [8] Average   Average   Average   Average   Average   Good      Average  
##   [15] Average   Average   Average   Average   Average   Average   Average  
##   [22] Average   Average   Average   Average   Average   Good      Average  
##   [29] Good      Average   Good      Average   Very Good Average   Average  
##   [36] Average   Average   Average   Average   Average   Average   Average  
##   [43] Average   Average   Average   Average   Average   Average   Average  
##   [50] Average   Average   Good      Average   Average   Average   Average  
##   [57] Average   Good      Average   Average   Average   Average   Average  
##   [64] Average   Average   Average   Average   Average   Average   Average  
##   [71] Average   Average   Average   Average   Average   Average   Average  
##   [78] Average   Average   Good      Average   Good      Average   Average  
##   [85] Good      Average   Average   Bad       Bad       Good      Average  
##   [92] Very Good Average   Average   Average   Average   Very Good Average  
##   [99] Very Good Average   Average   Good      Good      Average   Average  
##  [106] Average   Good      Good      Good      Average   Average   Average  
##  [113] Average   Average   Average   Average   Average   Average   Average  
##  [120] Average   Average   Average   Good      Average   Average   Good     
##  [127] Average   Average   Average   Average   Average   Average   Average  
##  [134] Good      Average   Average   Average   Good      Average   Average  
##  [141] Average   Good      Average   Good      Average   Good      Good     
##  [148] Average   Good      Average   Average   Average   Good      Good     
##  [155] Average   Average   Average   Average   Average   Average   Good     
##  [162] Average   Good      Good      Average   Average   Average   Average  
##  [169] Good      Average   Average   Average   Average   Average   Average  
##  [176] Good      Average   Good      Average   Average   Average   Average  
##  [183] Average   Good      Average   Average   Average   Average   Good     
##  [190] Average   Very Good Average   Good      Good      Good      Average  
##  [197] Good      Very Good Good      Average   Good      Good      Average  
##  [204] Average   Good      Good      Good      Average   Good      Average  
##  [211] Good      Average   Average   Average   Average   Average   Good     
##  [218] Good      Average   Average   Average   Average   Average   Average  
##  [225] Average   Average   Good      Good      Average   Average   Average  
##  [232] Average   Good      Good      Good      Good      Good      Good     
##  [239] Very Good Good      Good      Average   Average   Good      Good     
##  [246] Average   Average   Average   Very Good Very Good Good      Good     
##  [253] Good      Good      Good      Average   Average   Average   Good     
##  [260] Average   Average   Average   Very Good Average   Good      Good     
##  [267] Very Good Very Good Good      Average   Average   Good      Good     
##  [274] Average   Very Good Average   Good      Average   Average   Good     
##  [281] Average   Average   Good      Good      Average   Average   Average  
##  [288] Good      Average   Average   Good      Good      Good      Average  
##  [295] Good      Average   Good      Good      Good      Average   Average  
##  [302] Average   Good      Average   Average   Good      Average   Average  
##  [309] Good      Average   Good      Good      Good      Good      Good     
##  [316] Average   Good      Good      Average   Good      Good      Very Good
##  [323] Average   Average   Average   Good      Average   Average   Good     
##  [330] Very Good Average   Average   Good      Good      Good      Average  
##  [337] Good      Good      Average   Average   Very Good Average   Average  
##  [344] Average   Good      Very Good Very Good Good      Very Good Good     
##  [351] Average   Good      Good      Good      Average   Good      Good     
##  [358] Good      Very Good Good      Average   Good      Average   Average  
##  [365] Good      Good      Average   Good      Average   Good      Average  
##  [372] Average   Good      Average   Good      Good      Good      Very Good
##  [379] Average   Good      Average   Average   Very Good Good      Average  
##  [386] Good      Average   Good      Average   Average   Average   Good     
##  [393] Good      Average   Good      Average   Average   Good      Good     
##  [400] Good      Very Good Good      Average   Good      Very Good Good     
##  [407] Average   Good      Good      Good      Good      Average   Average  
##  [414] Average   Good      Average   Average   Good      Average   Very Good
##  [421] Average   Good      Average   Average   Average   Average   Average  
##  [428] Average   Average   Good      Average   Very Good Average   Average  
##  [435] Average   Average   Good      Average   Average   Average   Average  
##  [442] Average   Average   Average   Average   Average   Average   Good     
##  [449] Good      Average   Average   Average   Average   Average   Good     
##  [456] Average   Average   Average   Average   Good      Good      Average  
##  [463] Very Good Very Good Average   Average   Average   Good      Average  
##  [470] Average   Average   Average   Average   Average   Average   Average  
##  [477] Average   Average   Average   Average   Average   Good      Good     
##  [484] Average   Good      Average   Good      Average   Average   Average  
##  [491] Average   Average   Average   Very Good Average   Average   Good     
##  [498] Average   Average   Average   Average   Average   Average   Average  
##  [505] Good      Good      Average   Average   Average   Average   Average  
##  [512] Average   Average   Average   Average   Average   Good      Average  
##  [519] Average   Good      Average   Good      Average   Average   Average  
##  [526] Average   Average   Average   Good      Average   Average   Average  
##  [533] Average   Average   Average   Average   Average   Average   Average  
##  [540] Average   Average   Average   Average   Average   Average   Average  
##  [547] Average   Average   Average   Average   Average   Average   Average  
##  [554] Average   Average   Average   Average   Average   Good      Average  
##  [561] Average   Average   Average   Average   Average   Average   Average  
##  [568] Average   Average   Average   Good      Very Good Average   Average  
##  [575] Good      Good      Average   Good      Average   Average   Very Good
##  [582] Average   Good      Good      Good      Good      Good      Average  
##  [589] Average   Very Good Average   Good      Good      Good      Good     
##  [596] Good      Average   Very Good Very Good Good      Average   Good     
##  [603] Average   Average   Average   Average   Average   Average   Good     
##  [610] Good      Good      Good      Good      Average   Good      Average  
##  [617] Average   Good      Good      Very Good Good      Good      Very Good
##  [624] Average   Average   Average   Good      Average   Average   Average  
##  [631] Average   Average   Good      Very Good Good      Very Good Very Good
##  [638] Good      Good      Good      Good      Good      Good      Very Good
##  [645] Good      Good      Very Good Good      Good      Good      Good     
##  [652] Good      Good      Good      Good      Good      Average   Good     
##  [659] Very Good Average   Average   Average   Very Good Good      Very Good
##  [666] Good      Very Good Good      Very Good Very Good Very Good Very Good
##  [673] Good      Very Good Good      Good      Good      Good      Average  
##  [680] Average   Good      Average   Very Good Good      Very Good Average  
##  [687] Average   Good      Good      Average   Very Good Good      Good     
##  [694] Average   Average   Good      Average   Average   Average   Average  
##  [701] Average   Good      Good      Good      Very Good Very Good Very Good
##  [708] Very Good Very Good Good      Average   Average   Good      Very Good
##  [715] Very Good Good      Good      Good      Good      Very Good Good     
##  [722] Average   Very Good Good      Good      Average   Average   Good     
##  [729] Very Good Very Good Good      Average   Very Good Good      Average  
##  [736] Good      Good      Good      Average   Good      Very Good Average  
##  [743] Good      Average   Good      Good      Good      Very Good Good     
##  [750] Very Good Good      Average   Good      Good      Good      Good     
##  [757] Average   Good      Good      Good      Very Good Very Good Average  
##  [764] Good      Average   Good      Very Good Good      Good      Very Good
##  [771] Good      Good      Very Good Average   Average   Average   Very Good
##  [778] Good      Good      Good      Good      Very Good Average   Good     
##  [785] Average   Very Good Good      Very Good Good      Good      Good     
##  [792] Very Good Good      Very Good Good      Good      Good      Good     
##  [799] Average   Very Good Good      Very Good Very Good Good      Average  
##  [806] Average   Average   Good      Good      Good      Good      Good     
##  [813] Average   Good      Good      Very Good Good      Average   Good     
##  [820] Average   Very Good Very Good Very Good Average   Very Good Very Good
##  [827] Good      Good      Very Good Average   Average   Good      Average  
##  [834] Average   Good      Good      Average   Good      Good      Average  
##  [841] Very Good Average   Very Good Average   Average   Average   Good     
##  [848] Average   Average   Good      Good      Average   Good      Good     
##  [855] Average   Good      Good      Average   Average   Good      Average  
##  [862] Good      Good      Good      Good      Average   Average   Average  
##  [869] Very Good Average   Very Good Average   Average   Good      Average  
##  [876] Good      Average   Good      Average   Average   Good      Average  
##  [883] Good      Average   Average   Average   Good      Average   Good     
##  [890] Good      Average   Average   Average   Good      Average   Average  
##  [897] Good      Average   Very Good Good      Good      Average   Good     
##  [904] Average   Good      Average   Average   Good      Good      Good     
##  [911] Average   Average   Good      Good      Average   Average   Good     
##  [918] Good      Very Good Average   Good      Good      Poor      Good     
##  [925] Good      Good      Average   Average   Average   Average   Very Good
##  [932] Bad       Average   Good      Average   Good      Good      Good     
##  [939] Good      Good      Good      Average   Average   Average   Average  
##  [946] Average   Average   Average   Good      Average   Average   Average  
##  [953] Good      Good      Good      Good      Good      Good      Good     
##  [960] Average   Good      Average   Good      Good      Good      Average  
##  [967] Average   Average   Average   Good      Average   Good      Average  
##  [974] Average   Good      Average   Average   Average   Good      Good     
##  [981] Average   Average   Average   Average   Average   Average   Very Good
##  [988] Good      Average   Average   Average   Average   Average   Good     
##  [995] Average   Very Good Good      Good      Good      Good      Very Good
## [1002] Good      Good      Good      Good      Average   Good      Average  
## [1009] Good      Very Good Average   Average   Average   Average   Good     
## [1016] Good      Good      Good      Very Good Good      Average   Good     
## [1023] Average   Average   Average   Average   Good      Good      Average  
## [1030] Average   Good      Good      Good      Good      Good      Average  
## [1037] Average   Good      Very Good Good      Average   Good      Average  
## [1044] Average   Average   Average   Average   Average   Good      Good     
## [1051] Good      Average   Very Good Average   Very Good Average   Good     
## [1058] Average   Good      Good      Average   Average   Average   Good     
## [1065] Very Good Good      Average   Good      Good      Good      Good     
## [1072] Average   Good      Good      Average   Average   Good      Good     
## [1079] Good      Average   Average   Average   Average   Good      Good     
## [1086] Average   Good      Good      Average   Average   Good      Average  
## [1093] Good      Average   Average   Average   Good      Average   Good     
## [1100] Good      Good      Average   Average   Good      Good      Average  
## [1107] Good      Average   Good      Average   Average   Average   Average  
## [1114] Average   Average   Average   Average   Good      Very Good Average  
## [1121] Average   Good      Very Good Good      Average   Good      Good     
## [1128] Good      Good      Good      Very Good Good      Average   Good     
## [1135] Good      Good      Good      Good      Good      Average   Average  
## [1142] Good      Average  
## Levels: Average Bad Excellent Good Poor Very Good
## 
## $posterior
##           Average              Bad      Excellent        Good          Poor
## 1    0.7324357553 0.00612866251102 0.000191139955 0.208448533 0.04802675153
## 2    0.6776193688 0.04269061074270 0.000143951501 0.161424710 0.11553985051
## 3    0.6833590715 0.01056211282723 0.000311337847 0.230791088 0.06893412082
## 4    0.3785986912 0.00002171806241 0.003621123332 0.516629986 0.00477379777
## 5    0.7324357553 0.00612866251102 0.000191139955 0.208448533 0.04802675153
## 6    0.7198502926 0.00377938127196 0.000242232905 0.230237610 0.03968659675
## 7    0.6944912825 0.00181332675769 0.000342149703 0.264705237 0.02953505138
## 8    0.6055372886 0.00247819445578 0.000873429402 0.333984715 0.04125412689
## 9    0.6670316847 0.00134867097523 0.000462513336 0.292602680 0.02713732690
## 10   0.7199942099 0.00155550704984 0.000252056252 0.244834265 0.02580114559
## 11   0.6055012025 0.00169068899527 0.000874791116 0.340241621 0.03398447943
## 12   0.7489174479 0.00234481162573 0.000171349936 0.213963293 0.02928656916
## 13   0.2234893340 0.00001111991435 0.011001045232 0.561923589 0.00380980869
## 14   0.5563132213 0.00005788953007 0.001006387345 0.400266344 0.00645024729
## 15   0.4906068491 0.00010406649340 0.001857330408 0.449429629 0.00958399962
## 16   0.5681677421 0.00020059922250 0.001043277609 0.389025812 0.01210946596
## 17   0.6317821138 0.00045850803625 0.000626362605 0.332493091 0.01671327240
## 18   0.5002953597 0.00011930092072 0.001766478611 0.441844078 0.01017858842
## 19   0.5832657816 0.00013480462225 0.000865414218 0.378236815 0.00960804308
## 20   0.5531016248 0.00015465498856 0.001153813016 0.401771185 0.01081479911
## 21   0.7349636636 0.00691030265134 0.000179984855 0.203154007 0.05033044136
## 22   0.6427251831 0.00259715499887 0.000604487714 0.302062454 0.03934863409
## 23   0.5971345552 0.00321307403594 0.000942183669 0.334888221 0.04732546175
## 24   0.6466694954 0.00293858594334 0.000573554592 0.296542692 0.04135161622
## 25   0.5520983668 0.00005750935913 0.001013978051 0.404298122 0.00644262358
## 26   0.6805291949 0.00287103751373 0.000399836835 0.268626981 0.03825829864
## 27   0.3943817080 0.00076281786515 0.005153035458 0.503802889 0.03044914737
## 28   0.4846747506 0.00009170924977 0.001929303334 0.454772189 0.00904819804
## 29   0.3493166887 0.00012571391407 0.005870796068 0.535830698 0.01244117568
## 30   0.7176565848 0.00214741141546 0.000262101805 0.243435840 0.02918103715
## 31   0.3810053298 0.00021853351633 0.004957114502 0.518429303 0.01609769736
## 32   0.5467913834 0.00236818941890 0.001515872869 0.380970908 0.04423859918
## 33   0.0264256907 0.00001196330652 0.131484317097 0.320112302 0.00276668323
## 34   0.7007490373 0.09616261979221 0.000025461931 0.084462228 0.11799467325
## 35   0.7510692605 0.00411872203933 0.000158095474 0.202107686 0.03804392166
## 36   0.6519974930 0.00067076672748 0.000530724119 0.312271733 0.01961007639
## 37   0.6395986012 0.00052135621473 0.000591241628 0.324806238 0.01764345210
## 38   0.5529852407 0.00011130752089 0.001105448435 0.402687233 0.00910447655
## 39   0.4669296025 0.00036035165377 0.002650053580 0.462098138 0.01892534297
## 40   0.5377528867 0.00016537784702 0.001330087829 0.413449149 0.01145555179
## 41   0.5689413049 0.00116252241918 0.001217343968 0.375008695 0.02991237861
## 42   0.5631053380 0.00012735187684 0.001046575290 0.394034576 0.00964653734
## 43   0.6125413306 0.00016255329013 0.000674555580 0.353751932 0.01009590884
## 44   0.7448227559 0.00566863205366 0.000163811063 0.200181293 0.04482531491
## 45   0.6773651107 0.00781978612957 0.000361672393 0.246031932 0.06128628110
## 46   0.4525841344 0.00369082007834 0.003399784000 0.439707980 0.06288718468
## 47   0.4525841344 0.00369082007834 0.003399784000 0.439707980 0.06288718468
## 48   0.4853033600 0.00326609889015 0.002586001392 0.419827251 0.05669049141
## 49   0.5302446357 0.00370864036088 0.001758946079 0.383141843 0.05670367579
## 50   0.7137782695 0.00520141139692 0.000250965960 0.228033929 0.04675798678
## 51   0.7570577085 0.00493397550167 0.000144559253 0.194650828 0.03913344957
## 52   0.3180212418 0.00007177533761 0.006900816500 0.549143814 0.00953488342
## 53   0.5264088102 0.00896997915615 0.001675202747 0.356363159 0.08671949990
## 54   0.6285824138 0.00810993946083 0.000616726261 0.283410767 0.06900141672
## 55   0.7561034279 0.00281162146590 0.000156871293 0.206373655 0.02973078366
## 56   0.6467859693 0.00030752552417 0.000517819013 0.322245802 0.01322602261
## 57   0.6966288467 0.00060601719347 0.000320893159 0.274806077 0.01693948693
## 58   0.2792028495 0.00001820068130 0.007600104471 0.555360329 0.00475784502
## 59   0.5194391109 0.00065233053757 0.001810515766 0.419711574 0.02398241962
## 60   0.5221239494 0.00034042836526 0.001665153289 0.422194626 0.01707914574
## 61   0.5891683138 0.00040958250985 0.000932950981 0.368502301 0.01696975445
## 62   0.5376563899 0.00011904380848 0.001274356859 0.414371810 0.00964449556
## 63   0.7674997227 0.00275945425827 0.000130304559 0.195332782 0.03004175127
## 64   0.6303903548 0.00063491521798 0.000652654561 0.331147597 0.01980367948
## 65   0.5221239494 0.00034042836526 0.001665153289 0.422194626 0.01707914574
## 66   0.5891683138 0.00040958250985 0.000932950981 0.368502301 0.01696975445
## 67   0.5154562214 0.14265453637215 0.000230306917 0.148237068 0.19082261708
## 68   0.5197461750 0.00792186739706 0.001779814761 0.366956281 0.08235600601
## 69   0.6692798000 0.05333995066780 0.000125162981 0.150425830 0.12461416566
## 70   0.7392942683 0.00110893472903 0.000199753998 0.231682396 0.02087542429
## 71   0.5382502086 0.00132879784983 0.001618157191 0.397158626 0.03359526374
## 72   0.7392942683 0.00110893472903 0.000199753998 0.231682396 0.02087542429
## 73   0.7176608296 0.00146280569914 0.000259355024 0.247641772 0.02516797171
## 74   0.6317821138 0.00045850803625 0.000626362605 0.332493091 0.01671327240
## 75   0.7176608296 0.00146280569914 0.000259355024 0.247641772 0.02516797171
## 76   0.5979771414 0.00017453915254 0.000780910340 0.365492720 0.01073770117
## 77   0.7248292152 0.00274235098548 0.000233448833 0.232127920 0.03363784652
## 78   0.6545758117 0.00105010547965 0.000525552752 0.305784862 0.02443678692
## 79   0.6287149590 0.00190091008401 0.000696256394 0.319323412 0.03455423922
## 80   0.4275884842 0.00003561224200 0.002672627734 0.490292175 0.00588564317
## 81   0.6545758117 0.00105010547965 0.000525552752 0.305784862 0.02443678692
## 82   0.3113528706 0.00006258595164 0.007172065028 0.550818994 0.00891536192
## 83   0.5354447377 0.00061133447436 0.001571621072 0.407983554 0.02268444941
## 84   0.4848109026 0.34532759746852 0.000004577069 0.033020479 0.13672548626
## 85   0.3351120416 0.00035471167174 0.007600644637 0.540557881 0.02175785838
## 86   0.7604578292 0.00627048746910 0.000128116079 0.184745916 0.04483141466
## 87   0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 88   0.0695460471 0.77200626154342 0.000011140302 0.011685644 0.14666950608
## 89   0.0695460471 0.77200626154342 0.000011140302 0.011685644 0.14666950608
## 90   0.4565068318 0.00083477938209 0.003137657822 0.463604008 0.02969378934
## 91   0.7416134200 0.01048939040623 0.000145366309 0.185100459 0.05912934457
## 92   0.0269550729 0.00001024167922 0.123603975264 0.325192824 0.00356853179
## 93   0.5211512365 0.21140256029823 0.000048109152 0.080757988 0.18590212229
## 94   0.7121434266 0.00964497695492 0.000223219127 0.211315786 0.06180858935
## 95   0.6231258067 0.00019699368895 0.000623582071 0.344250744 0.01095685246
## 96   0.7121434266 0.00964497695492 0.000223219127 0.211315786 0.06180858935
## 97   0.0018188619 0.00000008254512 0.245588001976 0.080489850 0.00018076764
## 98   0.5606800248 0.00012683335797 0.001051471544 0.396369978 0.00963791738
## 99   0.0018188619 0.00000008254512 0.245588001976 0.080489850 0.00018076764
## 100  0.7233484291 0.00426691616831 0.000228423566 0.224698970 0.04164511327
## 101  0.6196698726 0.00361019552739 0.000749390767 0.314093947 0.04808853053
## 102  0.4516122538 0.00027617712947 0.002910073887 0.473855207 0.01678976668
## 103  0.3021711505 0.00002798788841 0.006796731865 0.550930696 0.00586583019
## 104  0.6517733112 0.00066818963114 0.000533118227 0.313740140 0.01831621344
## 105  0.5534758620 0.00124373352351 0.001404708804 0.386332466 0.03170947501
## 106  0.5534758620 0.00124373352351 0.001404708804 0.386332466 0.03170947501
## 107  0.3336470112 0.00009509492326 0.006371078022 0.542978617 0.01090274377
## 108  0.3336470112 0.00009509492326 0.006371078022 0.542978617 0.01090274377
## 109  0.3336470112 0.00009509492326 0.006371078022 0.542978617 0.01090274377
## 110  0.7420545071 0.00502627894675 0.000173918236 0.205345860 0.04276343037
## 111  0.7135372907 0.00190271389755 0.000275614403 0.247470501 0.02905716503
## 112  0.6543657368 0.09814869121644 0.000055498667 0.106864587 0.13950861738
## 113  0.7584342712 0.00523928303095 0.000140283009 0.192167172 0.04007304949
## 114  0.5283057209 0.00053696220900 0.001652384399 0.414516902 0.02143608597
## 115  0.6944912825 0.00181332675769 0.000342149703 0.264705237 0.02953505138
## 116  0.6895976804 0.00160273120774 0.000362025201 0.270645332 0.02808672942
## 117  0.6905902669 0.00250203268880 0.000355447943 0.262861728 0.03488618548
## 118  0.5565956664 0.00195057826745 0.001385600509 0.376957423 0.03956502233
## 119  0.7413009987 0.00117389106543 0.000195804600 0.231069692 0.01958983063
## 120  0.5066536853 0.00151239608328 0.002143431081 0.419160471 0.03754382504
## 121  0.7562756372 0.05822106203340 0.000029730057 0.096045748 0.08865559134
## 122  0.6291089333 0.00021068623583 0.000603502407 0.338658781 0.01126476564
## 123  0.2569156346 0.00054084099491 0.015244332552 0.566163516 0.02917477608
## 124  0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 125  0.5298020975 0.00010437846526 0.001338589431 0.420601002 0.00910262335
## 126  0.4040851244 0.00032858332882 0.004345968711 0.503640066 0.01943407582
## 127  0.7174118292 0.01958845954214 0.000153542086 0.178750990 0.08087843715
## 128  0.6811985711 0.00195544087420 0.000398100086 0.274896594 0.03156081777
## 129  0.6811985711 0.00195544087420 0.000398100086 0.274896594 0.03156081777
## 130  0.7165006364 0.00214775902519 0.000262046811 0.243281960 0.03049596466
## 131  0.7533219982 0.00914107286668 0.000128453025 0.180158002 0.05393628835
## 132  0.7165006364 0.00214775902519 0.000262046811 0.243281960 0.03049596466
## 133  0.7222983981 0.00243083073787 0.000245532128 0.236134883 0.03206951513
## 134  0.4244396061 0.00003533342594 0.002682242451 0.493273711 0.00587287864
## 135  0.6053444404 0.00014294361730 0.000710571547 0.360097862 0.00955602141
## 136  0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 137  0.6382253423 0.00052037999243 0.000593742519 0.326150680 0.01762766928
## 138  0.4522998670 0.00007439222634 0.002443067691 0.475492685 0.00843332266
## 139  0.6077230751 0.00083132067023 0.000830470135 0.347460043 0.02365829836
## 140  0.6077230751 0.00083132067023 0.000830470135 0.347460043 0.02365829836
## 141  0.5177097236 0.00090241258596 0.001885196901 0.417788379 0.02839465144
## 142  0.3240418448 0.00002204721702 0.005518616365 0.541775180 0.00506915709
## 143  0.3675256365 0.19270617555519 0.000874659482 0.188014076 0.24505155100
## 144  0.2947108228 0.00002439647529 0.007041203188 0.554462107 0.00548534409
## 145  0.6358425828 0.00023928743047 0.000572445624 0.332465012 0.01188985717
## 146  0.1808328580 0.00001065592904 0.015846024266 0.556003971 0.00382111699
## 147  0.1808328580 0.00001065592904 0.015846024266 0.556003971 0.00382111699
## 148  0.5976537243 0.00024224693501 0.000814699138 0.364451066 0.01274473334
## 149  0.0757556889 0.00004610138595 0.066051173848 0.473084624 0.00858184161
## 150  0.6401409631 0.00628817842095 0.000577725447 0.282352766 0.06031101067
## 151  0.5334481999 0.00084547884985 0.001637670230 0.406504612 0.02684886389
## 152  0.6791251001 0.00782563503916 0.000359094410 0.244240510 0.06135587788
## 153  0.3805861870 0.00021830609775 0.004957113502 0.518824321 0.01610299325
## 154  0.3658325465 0.00091021245270 0.006538954191 0.518790333 0.03439246872
## 155  0.7789713566 0.00931655780170 0.000085713227 0.159012022 0.05014692987
## 156  0.5670591661 0.00038584320036 0.001134760774 0.386670448 0.01704333591
## 157  0.5246052985 0.00006614252854 0.001338928486 0.424390642 0.00723265794
## 158  0.6567217863 0.00075926295231 0.000504823280 0.307295029 0.02064415613
## 159  0.6811985711 0.00195544087420 0.000398100086 0.274896594 0.03156081777
## 160  0.6025112923 0.00233232545485 0.000906540994 0.337004574 0.04016857995
## 161  0.3344748768 0.00009539007438 0.006368475692 0.542212537 0.01090445011
## 162  0.6721644626 0.00152810532721 0.000443342206 0.286022885 0.02855179858
## 163  0.0783705175 0.00002785281006 0.058201360544 0.477854776 0.00655163994
## 164  0.4362312550 0.00007893735547 0.002796252453 0.485977038 0.00886552653
## 165  0.5005126974 0.00008589558017 0.001690203936 0.442011740 0.00856587893
## 166  0.6280293228 0.19397777156558 0.000008848834 0.049764625 0.12799356900
## 167  0.7728519138 0.00311917589814 0.000121287531 0.188458685 0.03151957792
## 168  0.7267892910 0.00291460078207 0.000226757871 0.229378268 0.03446647693
## 169  0.2137935878 0.00003122112992 0.014270284819 0.566712763 0.00665852414
## 170  0.6060650469 0.00114996216145 0.000862601691 0.345049621 0.02802230458
## 171  0.4677388684 0.00001351456621 0.001672926942 0.466008392 0.00335999814
## 172  0.4677388684 0.00001351456621 0.001672926942 0.466008392 0.00335999814
## 173  0.6306438517 0.00296968806278 0.000681760394 0.309306682 0.04298748813
## 174  0.7104783809 0.00460790164711 0.000266189627 0.233699075 0.04456686746
## 175  0.6306438517 0.00296968806278 0.000681760394 0.309306682 0.04298748813
## 176  0.3634898757 0.00003193227592 0.004311793214 0.525746462 0.00594278501
## 177  0.5971818697 0.00139945799516 0.000946428599 0.349699620 0.03141343677
## 178  0.2718821475 0.00003043854043 0.008666612363 0.561200820 0.00629604341
## 179  0.7306625119 0.01435542075512 0.000149651297 0.182199147 0.06926158850
## 180  0.6976459080 0.00131283665905 0.000329012706 0.266308833 0.02498034909
## 181  0.5677908461 0.00007474354313 0.000917462343 0.391768438 0.00722348011
## 182  0.7604578292 0.00627048746910 0.000128116079 0.184745916 0.04483141466
## 183  0.5757810003 0.00016448950695 0.000950368330 0.383650620 0.01078881155
## 184  0.2445354604 0.00001726361096 0.009953373536 0.563259411 0.00474735116
## 185  0.5367887940 0.00006152802143 0.001168927916 0.415964660 0.00682554835
## 186  0.6554640272 0.13546476847098 0.000029268166 0.082761682 0.12566920506
## 187  0.5207007842 0.00047114313135 0.001737632804 0.421350033 0.02024040682
## 188  0.5681448079 0.00010395760529 0.000957866988 0.390930136 0.00858541454
## 189  0.3417333492 0.00040708990957 0.007290638358 0.537129587 0.02322943690
## 190  0.6853820793 0.03805821584564 0.000154447353 0.167198331 0.10641584381
## 191  0.0170788689 0.00000117165653 0.110590822623 0.256451018 0.00105147456
## 192  0.6638524035 0.00086193127953 0.000475798190 0.299838553 0.02176963888
## 193  0.2325889768 0.00000385797189 0.008507910621 0.550476767 0.00215514546
## 194  0.3766998587 0.00039257916919 0.005521704786 0.518754929 0.02197828853
## 195  0.3766998587 0.00039257916919 0.005521704786 0.518754929 0.02197828853
## 196  0.6638524035 0.00086193127953 0.000475798190 0.299838553 0.02176963888
## 197  0.2325889768 0.00000385797189 0.008507910621 0.550476767 0.00215514546
## 198  0.0197358244 0.00000099590933 0.097929686738 0.271993413 0.00097954938
## 199  0.3114838040 0.00006267833040 0.007167280806 0.551651677 0.00892427159
## 200  0.4843125262 0.00002440971762 0.001622600579 0.452410063 0.00451260566
## 201  0.3469807835 0.00001745486964 0.004441333621 0.533940813 0.00438019240
## 202  0.3114838040 0.00006267833040 0.007167280806 0.551651677 0.00892427159
## 203  0.6115238413 0.00130407395058 0.000819222405 0.339058594 0.02952321197
## 204  0.6115238413 0.00130407395058 0.000819222405 0.339058594 0.02952321197
## 205  0.3966459963 0.00014904609460 0.004164180381 0.510089233 0.01294629612
## 206  0.3570802076 0.00007491968080 0.005148877413 0.531202079 0.00938838301
## 207  0.3810669452 0.00030251157247 0.005174082326 0.518116220 0.01912221479
## 208  0.6265962128 0.00020998840146 0.000607373530 0.341090834 0.01125806811
## 209  0.3810669452 0.00030251157247 0.005174082326 0.518116220 0.01912221479
## 210  0.4734573332 0.00056952508675 0.002634741811 0.454491228 0.02380078084
## 211  0.3721236188 0.00005108559315 0.004328858232 0.522764362 0.00755373207
## 212  0.5006321453 0.00006179929534 0.001616620853 0.441986126 0.00720525893
## 213  0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 214  0.6736143553 0.02310762599963 0.000248816070 0.202396686 0.09625900860
## 215  0.6724198051 0.00238422576953 0.000437473086 0.279039304 0.03544209112
## 216  0.6632301123 0.00290502560764 0.000480386490 0.283046940 0.03977320200
## 217  0.3654045780 0.00031983803573 0.005891057437 0.525815571 0.01998242879
## 218  0.2325889768 0.00000385797189 0.008507910621 0.550476767 0.00215514546
## 219  0.6308013326 0.00491800057264 0.000651080372 0.297285426 0.05455979021
## 220  0.7478789589 0.00365026347345 0.000167761963 0.207217611 0.03627654696
## 221  0.7037308722 0.00231907788969 0.000305331323 0.252987183 0.03263072985
## 222  0.5550280023 0.00015519137094 0.001149588719 0.399912013 0.01082405502
## 223  0.5698602468 0.00020119084049 0.001039626660 0.387387448 0.01211925186
## 224  0.6579950712 0.00076048099428 0.000502590900 0.306040708 0.02066475935
## 225  0.5913950263 0.00029616906102 0.000891825516 0.368373285 0.01432154472
## 226  0.6185019896 0.00035560071054 0.000696450358 0.345240352 0.01501022088
## 227  0.1811671995 0.00002047087151 0.017533585875 0.561379981 0.00543213936
## 228  0.2835221289 0.00094758731184 0.013004475892 0.556669473 0.03823767645
## 229  0.5803891954 0.00884511348983 0.001005127201 0.316839876 0.07880845252
## 230  0.6431458660 0.00176841740463 0.000600451931 0.308489308 0.03244137171
## 231  0.6737915978 0.00051024907610 0.000414343613 0.295730094 0.01633866290
## 232  0.6737915978 0.00051024907610 0.000414343613 0.295730094 0.01633866290
## 233  0.1993830822 0.00014689928422 0.020914525124 0.573090729 0.01533142376
## 234  0.1457507046 0.00003770646250 0.027432345153 0.551794125 0.00766085963
## 235  0.3945266330 0.00002055651486 0.003179142407 0.507901258 0.00456221890
## 236  0.3194031567 0.00037258104802 0.008618578102 0.547781317 0.02267116081
## 237  0.2374621146 0.00067766314302 0.018549417891 0.570783398 0.03341291426
## 238  0.1754634168 0.00076387206355 0.033243319935 0.569684904 0.03721678099
## 239  0.0410677163 0.00000758805493 0.085741074901 0.375184111 0.00314903497
## 240  0.3800530295 0.00011305296980 0.004541565054 0.519911149 0.01139833099
## 241  0.3789579601 0.00002188443796 0.003597421376 0.519261837 0.00478626746
## 242  0.4683877791 0.00009729882509 0.002228437191 0.464617354 0.00952434185
## 243  0.4683877791 0.00009729882509 0.002228437191 0.464617354 0.00952434185
## 244  0.3953504328 0.00055104791948 0.004944773765 0.505928771 0.02569532304
## 245  0.1035315817 0.00004304008724 0.045352185324 0.514599554 0.00830346333
## 246  0.5493887271 0.00079148845264 0.001420064682 0.394749921 0.02537446228
## 247  0.7467070371 0.01891036351433 0.000104385639 0.158039203 0.07378469067
## 248  0.7374608866 0.00419419676932 0.000190138295 0.213212873 0.03982369324
## 249  0.0316486189 0.00001711450278 0.119745873392 0.349277184 0.00477300383
## 250  0.0307865833 0.00000048935604 0.063986541186 0.318713375 0.00070190985
## 251  0.1144657896 0.00084104177707 0.063742831805 0.527532730 0.04017204292
## 252  0.2133965166 0.00004327072417 0.014981135612 0.569718853 0.00793518653
## 253  0.1099901086 0.00002162145450 0.037041347525 0.518514065 0.00572980368
## 254  0.3576531227 0.00010419098228 0.005380772801 0.532167484 0.01117740206
## 255  0.4603650956 0.00008509693865 0.002333747218 0.470120142 0.00896410521
## 256  0.7324357553 0.00612866251102 0.000191139955 0.208448533 0.04802675153
## 257  0.4917567614 0.00020126426199 0.002021621727 0.446879168 0.01353157809
## 258  0.5624493715 0.00102301241663 0.001282280467 0.381734636 0.02832140868
## 259  0.4276786938 0.00018437725528 0.003339292897 0.490977807 0.01398349616
## 260  0.5853590187 0.00159422856080 0.001057135590 0.357970760 0.03428199197
## 261  0.5853590187 0.00159422856080 0.001057135590 0.357970760 0.03428199197
## 262  0.7504654860 0.00159774776285 0.000169656783 0.217906794 0.02418069809
## 263  0.0370958436 0.00000118830535 0.065514896736 0.352104913 0.00114820094
## 264  0.6109785729 0.00002757141108 0.000563092758 0.356690165 0.00402000971
## 265  0.2039898748 0.00000986005928 0.012742490255 0.557812678 0.00362250250
## 266  0.2417565148 0.00007818968744 0.013072275445 0.569666718 0.01063557541
## 267  0.0370958436 0.00000118830535 0.065514896736 0.352104913 0.00114820094
## 268  0.0345674450 0.00005284342363 0.139455414578 0.356006799 0.00875747331
## 269  0.4597458885 0.00002269051360 0.001949351900 0.468758996 0.00447264509
## 270  0.6836563551 0.00065387718322 0.000373554412 0.285473619 0.01810942772
## 271  0.6553614521 0.00034990239543 0.000487667343 0.313982380 0.01395607943
## 272  0.1461209708 0.00339452090161 0.029680532444 0.550745508 0.08249015518
## 273  0.4403030295 0.00011732255662 0.002857663918 0.483294207 0.01086774766
## 274  0.5218657035 0.00009148130747 0.001405574098 0.426773341 0.00858791538
## 275  0.0138517969 0.00000114914825 0.136064325208 0.234028295 0.00101474497
## 276  0.6600294522 0.00745849010715 0.000445551518 0.261411683 0.06231806337
## 277  0.3420124650 0.00056440705164 0.007606160472 0.534787215 0.02754400179
## 278  0.7437144424 0.01328653940778 0.000128353667 0.175110489 0.06469071941
## 279  0.6600294522 0.00745849010715 0.000445551518 0.261411683 0.06231806337
## 280  0.3732633916 0.00019057096596 0.005174558457 0.522954391 0.01510396438
## 281  0.4633217799 0.00095517516640 0.002998326171 0.456618392 0.03147493467
## 282  0.7730702864 0.00614683951125 0.000106310192 0.174795530 0.04275012134
## 283  0.2758738666 0.00008289422849 0.009951094276 0.563075842 0.01067288490
## 284  0.2401693489 0.00004035491394 0.011895092122 0.567692586 0.00748924222
## 285  0.5687880231 0.00027708103446 0.001088547888 0.388082905 0.01317308960
## 286  0.5698602468 0.00020119084049 0.001039626660 0.387387448 0.01211925186
## 287  0.7540706685 0.00969995013506 0.000124552686 0.177725426 0.05517631540
## 288  0.1013485158 0.00001578581479 0.038751076550 0.506576829 0.00484283227
## 289  0.6303903548 0.00063491521798 0.000652654561 0.331147597 0.01980367948
## 290  0.7524998657 0.00861362765215 0.000132461930 0.182606005 0.05271925411
## 291  0.1385455699 0.00005467905954 0.031952996253 0.547282100 0.00935728492
## 292  0.4486202341 0.00073386649987 0.003298843614 0.469602410 0.02798244154
## 293  0.3184136514 0.00005178028496 0.006589095243 0.547517707 0.00801212812
## 294  0.6688477095 0.01137283138767 0.000361610004 0.239261586 0.07354395758
## 295  0.2335200314 0.00545351842277 0.022165677798 0.539300462 0.09742306633
## 296  0.4928364979 0.06341729257309 0.000839839119 0.242580711 0.19236731432
## 297  0.1173691621 0.00000328813596 0.024050505065 0.511409437 0.00208235863
## 298  0.2335200314 0.00545351842277 0.022165677798 0.539300462 0.09742306633
## 299  0.3106380806 0.00119570418118 0.010616250359 0.541847285 0.04195790953
## 300  0.5445992487 0.00894023443390 0.001414980147 0.343180534 0.08411496448
## 301  0.6703506540 0.00070491216001 0.000434459201 0.296309721 0.01934372884
## 302  0.5963318355 0.02059215650963 0.000659071382 0.263839283 0.10974079592
## 303  0.1173691621 0.00000328813596 0.024050505065 0.511409437 0.00208235863
## 304  0.7053696411 0.00107474860945 0.000298835710 0.261907542 0.02220534585
## 305  0.5376563899 0.00011904380848 0.001274356859 0.414371810 0.00964449556
## 306  0.4603155557 0.00011820305240 0.002439159764 0.469981929 0.01065330130
## 307  0.5376563899 0.00011904380848 0.001274356859 0.414371810 0.00964449556
## 308  0.5746827087 0.00285086959249 0.001178946115 0.355156041 0.04648118951
## 309  0.2034571201 0.00006303133574 0.017575485445 0.569818329 0.00974796305
## 310  0.7207610600 0.00242726298625 0.000247372155 0.237674060 0.03203296876
## 311  0.4035446962 0.00003306010801 0.002120803037 0.505981993 0.00580031365
## 312  0.3639569835 0.00173280903253 0.007043518031 0.512222048 0.04810975425
## 313  0.0802665367 0.00007644161430 0.068080239595 0.487750205 0.01126785359
## 314  0.2947701521 0.00004686531395 0.007750826650 0.556427136 0.00776712385
## 315  0.2216753208 0.00009753495304 0.015926142133 0.572941413 0.01215118131
## 316  0.4819685398 0.00046937347116 0.002409202315 0.449855018 0.02129688695
## 317  0.2401330158 0.00004027064502 0.011900187133 0.567033783 0.00748362870
## 318  0.2401330158 0.00004027064502 0.011900187133 0.567033783 0.00748362870
## 319  0.5493887271 0.00079148845264 0.001420064682 0.394749921 0.02537446228
## 320  0.1340751859 0.00001028728624 0.024790898954 0.533712708 0.00382563180
## 321  0.0977383002 0.00000234659113 0.027796728459 0.489136806 0.00174766760
## 322  0.0305615521 0.00004327294769 0.117103885347 0.350350310 0.00785672984
## 323  0.5018501961 0.00096211962893 0.002167777880 0.428917541 0.02999657055
## 324  0.6724198051 0.00238422576953 0.000437473086 0.279039304 0.03544209112
## 325  0.7535458753 0.00064102717524 0.000165338726 0.215436956 0.02469985284
## 326  0.1736526856 0.00004169470472 0.021532538315 0.562115625 0.00796358989
## 327  0.7186545143 0.00228332012756 0.000254613312 0.240470347 0.03125612958
## 328  0.5524445350 0.00005421612839 0.001031585891 0.403274760 0.00626735489
## 329  0.1811625411 0.00009424590520 0.023014451594 0.567904793 0.01224638339
## 330  0.0039775658 0.00000074800407 0.247106314095 0.123191883 0.00066781172
## 331  0.5865353550 0.00009747196605 0.000823321935 0.375844973 0.00809378596
## 332  0.6887042856 0.02146858739625 0.000214332892 0.195346029 0.09026797416
## 333  0.2292309786 0.00001767715205 0.011207775379 0.564635920 0.00486987956
## 334  0.2240520083 0.00018976662284 0.017466656677 0.573011754 0.01724960108
## 335  0.3106748812 0.00004495408860 0.006850559432 0.549972971 0.00748603158
## 336  0.5791169486 0.00323383165407 0.001119027139 0.349053740 0.04895336704
## 337  0.3905711298 0.00002034105104 0.003192159517 0.511619670 0.00454727911
## 338  0.1169706736 0.00000323869563 0.024109553281 0.508200007 0.00207028721
## 339  0.6032057204 0.00364008426635 0.000889240840 0.326904750 0.04988399109
## 340  0.5197170721 0.00003387321284 0.001233644150 0.428825581 0.00510187732
## 341  0.0651430634 0.00000316463946 0.045320803863 0.436269183 0.00202015530
## 342  0.5373266164 0.00008562034704 0.001220641967 0.415203958 0.00811557706
## 343  0.6148141363 0.00318804189067 0.000792163644 0.320846689 0.04568805117
## 344  0.6025112923 0.00233232545485 0.000906540994 0.337004574 0.04016857995
## 345  0.3725691707 0.00007106531541 0.004528650694 0.523197395 0.00898855924
## 346  0.0106727368 0.00000132517106 0.165151315749 0.208427193 0.00105858098
## 347  0.0084743614 0.00000091583124 0.177181610417 0.186087373 0.00084050212
## 348  0.2821533862 0.00131507661465 0.013579109042 0.551232779 0.04528880394
## 349  0.0586576222 0.00000740937619 0.061492585636 0.426160668 0.00318499586
## 350  0.1768668952 0.00001788304919 0.016638258187 0.558695433 0.00505377714
## 351  0.7272423932 0.00081531448677 0.000230440381 0.245262605 0.01842954893
## 352  0.1526899364 0.00001335777805 0.021273411309 0.548281405 0.00438605349
## 353  0.1768668952 0.00001788304919 0.016638258187 0.558695433 0.00505377714
## 354  0.2821533862 0.00131507661465 0.013579109042 0.551232779 0.04528880394
## 355  0.7272423932 0.00081531448677 0.000230440381 0.245262605 0.01842954893
## 356  0.0840694287 0.00001956688182 0.050356548429 0.484612177 0.00542744079
## 357  0.0840694287 0.00001956688182 0.050356548429 0.484612177 0.00542744079
## 358  0.1459784722 0.00000426917280 0.018716007838 0.534936306 0.00237800522
## 359  0.0557669280 0.00002090312827 0.078603436541 0.428395875 0.00553744703
## 360  0.1459784722 0.00000426917280 0.018716007838 0.534936306 0.00237800522
## 361  0.7084202358 0.00408551844059 0.000280271075 0.237920343 0.04251848358
## 362  0.0906682001 0.00000417951662 0.034526323824 0.482423272 0.00236953460
## 363  0.5248762830 0.00102692940147 0.001792009146 0.410783571 0.03005033739
## 364  0.5002953597 0.00011930092072 0.001766478611 0.441844078 0.01017858842
## 365  0.1394412424 0.00007643935214 0.033523756755 0.550791836 0.01118072766
## 366  0.1394412424 0.00007643935214 0.033523756755 0.550791836 0.01118072766
## 367  0.7341170460 0.00371609591813 0.000201700080 0.218537631 0.03796255280
## 368  0.1718109428 0.00026330229226 0.029597160376 0.567040610 0.02124708227
## 369  0.8419264379 0.00097943723264 0.000037346511 0.131117744 0.02425860960
## 370  0.3073196370 0.00001187927398 0.005689038337 0.544427098 0.00370465426
## 371  0.5682798972 0.00014446755737 0.000999803861 0.390022324 0.01019894454
## 372  0.5681677421 0.00020059922250 0.001043277609 0.389025812 0.01210946596
## 373  0.1308915969 0.00001714941926 0.028207437630 0.534545598 0.00504571824
## 374  0.7080653334 0.00262143535639 0.000288300919 0.247212222 0.03428293201
## 375  0.2208547716 0.00000562545418 0.010008553823 0.553988325 0.00265608884
## 376  0.3399357832 0.00005641613001 0.005592550576 0.539344257 0.00822077684
## 377  0.3399357832 0.00005641613001 0.005592550576 0.539344257 0.00822077684
## 378  0.0103204955 0.00000027106406 0.122841555943 0.196000903 0.00044925241
## 379  0.4911885944 0.00027905024592 0.002110379726 0.446088179 0.01605868690
## 380  0.2208547716 0.00000562545418 0.010008553823 0.553988325 0.00265608884
## 381  0.7080653334 0.00262143535639 0.000288300919 0.247212222 0.03428293201
## 382  0.5392026141 0.01466341693909 0.001328298551 0.323777517 0.10568949531
## 383  0.0555476209 0.00000453048656 0.058941708598 0.416831064 0.00243074803
## 384  0.2350380953 0.00013059493161 0.014864970502 0.572668521 0.01404375709
## 385  0.6518542187 0.00145104690530 0.000546706958 0.304061618 0.02890309426
## 386  0.2486870522 0.00009037223286 0.012619720408 0.569130101 0.01142358822
## 387  0.6533382813 0.00584678768459 0.000500671440 0.274271064 0.05655131199
## 388  0.3912720996 0.00145810177483 0.005579419733 0.497759550 0.04264245680
## 389  0.7194002525 0.00007870370962 0.000208753043 0.263142607 0.00564397148
## 390  0.6791716101 0.00041657345509 0.000378693461 0.292646689 0.01450989464
## 391  0.6498068825 0.00092764905235 0.000552993341 0.311037547 0.02322145112
## 392  0.2051088506 0.00001379185607 0.013378327023 0.560585736 0.00433047805
## 393  0.2953120142 0.00003382673756 0.007394176328 0.554066761 0.00652504909
## 394  0.6251075587 0.00056031346126 0.000686117696 0.336446171 0.01879243017
## 395  0.4522397247 0.00014352527302 0.002668641894 0.475186885 0.01191093243
## 396  0.4757889323 0.00021415869432 0.002320896818 0.458075864 0.01426708222
## 397  0.3680323949 0.10887840655759 0.001564883182 0.243514309 0.26782327157
## 398  0.3571953209 0.00109905898341 0.007116812379 0.521428163 0.03824382592
## 399  0.1652550226 0.00011684425696 0.027744816446 0.563791912 0.01385466344
## 400  0.3571953209 0.00109905898341 0.007116812379 0.521428163 0.03824382592
## 401  0.0377614926 0.00001066933741 0.098060616849 0.364789014 0.00375427261
## 402  0.2619933080 0.00044819996417 0.014062655768 0.567080013 0.02630427652
## 403  0.7001711340 0.00094960147229 0.000316111224 0.267716811 0.02111041176
## 404  0.3161195923 0.00001912941221 0.005737117215 0.544073376 0.00473474367
## 405  0.0377614926 0.00001066933741 0.098060616849 0.364789014 0.00375427261
## 406  0.2619933080 0.00044819996417 0.014062655768 0.567080013 0.02630427652
## 407  0.7901882666 0.00721008966743 0.000079098733 0.156448087 0.04362541172
## 408  0.3426930832 0.00021157818120 0.006683462486 0.538396425 0.01646362355
## 409  0.0853239983 0.00000828369303 0.042256392169 0.478803702 0.00342837949
## 410  0.1767048420 0.00001778316674 0.018045105129 0.557349518 0.00504340659
## 411  0.2120759275 0.00000667594163 0.010870942622 0.558243795 0.00292836983
## 412  0.5064456450 0.00036180888116 0.001918572662 0.434413019 0.01715027913
## 413  0.5755482668 0.00022832845112 0.000991558410 0.382614807 0.01280699003
## 414  0.5296384908 0.00027945290876 0.001521215423 0.417628473 0.01524004672
## 415  0.4032869632 0.00003288340908 0.003188021120 0.504535182 0.00579449306
## 416  0.5960620475 0.00046553803787 0.000885687678 0.362010481 0.01792453201
## 417  0.5960620475 0.00046553803787 0.000885687678 0.362010481 0.01792453201
## 418  0.3550779190 0.00002007455155 0.004266285079 0.530691916 0.00468146518
## 419  0.7533219982 0.00914107286668 0.000128453025 0.180158002 0.05393628835
## 420  0.0034648326 0.00000041543807 0.186819707827 0.121116395 0.00048511026
## 421  0.5375858954 0.00022956150117 0.001387829639 0.412413156 0.01359949346
## 422  0.1220149763 0.00001758158038 0.031196880254 0.527637729 0.00512583986
## 423  0.5375858954 0.00022956150117 0.001387829639 0.412413156 0.01359949346
## 424  0.7092597566 0.00056119060234 0.000275407104 0.264324497 0.01583201542
## 425  0.7097619515 0.00178671214486 0.000285548007 0.251807414 0.02831260566
## 426  0.5931992353 0.00015400275428 0.000817701205 0.369431975 0.01016662723
## 427  0.6091328363 0.00122497493925 0.000839806316 0.341730925 0.02877887178
## 428  0.7502718669 0.03107747572323 0.000065501249 0.132089867 0.08491729313
## 429  0.7384783641 0.00162931163558 0.000202140501 0.227955559 0.02532189261
## 430  0.3732633916 0.00019057096596 0.005174558457 0.522954391 0.01510396438
## 431  0.5195549770 0.00195709188790 0.001935329385 0.405182337 0.04197383328
## 432  0.0207563618 0.00000161238245 0.108982962329 0.277129626 0.00128027064
## 433  0.4862112973 0.00001980700617 0.001492578763 0.452238972 0.00401425743
## 434  0.5529852407 0.00011130752089 0.001105448435 0.402687233 0.00910447655
## 435  0.5997110542 0.00219032482403 0.000931556376 0.340434211 0.03912762733
## 436  0.6376569661 0.00156071125023 0.000634338893 0.314930307 0.03080422673
## 437  0.4032869632 0.00003288340908 0.003188021120 0.504535182 0.00579449306
## 438  0.5681448079 0.00010395760529 0.000957866988 0.390930136 0.00858541454
## 439  0.6625963750 0.00086060873116 0.000477964310 0.301078647 0.02174716036
## 440  0.6738845168 0.00110465515046 0.000428076426 0.288767754 0.02411160022
## 441  0.6657359329 0.00134787486062 0.000470733716 0.293303623 0.02709480277
## 442  0.5842380662 0.00366562133097 0.001059655292 0.342035977 0.05157523396
## 443  0.7450012105 0.00207618633861 0.000181648340 0.219167525 0.02790047377
## 444  0.7450012105 0.00207618633861 0.000181648340 0.219167525 0.02790047377
## 445  0.6832000012 0.00090632500898 0.000386890079 0.282718115 0.02146631144
## 446  0.7434688198 0.00533800948473 0.000168796366 0.202755574 0.04378397726
## 447  0.6832000012 0.00090632500898 0.000386890079 0.282718115 0.02146631144
## 448  0.4474759790 0.00002735360355 0.002145997326 0.478484580 0.00499376398
## 449  0.3190343357 0.00007206375319 0.006896866287 0.548211658 0.00953923471
## 450  0.4468919492 0.03862868556172 0.002255016916 0.330719457 0.16388845232
## 451  0.5057639547 0.00007018003808 0.001548135725 0.438917813 0.00763521567
## 452  0.7006882469 0.02820835605221 0.000151801929 0.171943926 0.09606027823
## 453  0.7231442863 0.04968858680553 0.000059922599 0.121761506 0.10401660695
## 454  0.7206172022 0.05251163308811 0.000057833531 0.119578887 0.10595588857
## 455  0.2716577585 0.00001575015948 0.007880541889 0.556257040 0.00443232368
## 456  0.6625963750 0.00086060873116 0.000477964310 0.301078647 0.02174716036
## 457  0.6625963750 0.00086060873116 0.000477964310 0.301078647 0.02174716036
## 458  0.6625963750 0.00086060873116 0.000477964310 0.301078647 0.02174716036
## 459  0.4868995572 0.01565314071532 0.002149839034 0.361554863 0.11282851057
## 460  0.2229354272 0.00009789579518 0.015916073203 0.572351828 0.01215611188
## 461  0.1678163160 0.00003585486937 0.022174930410 0.559323168 0.00737022256
## 462  0.5454051890 0.00018847400959 0.001265657480 0.407122927 0.01213013714
## 463  0.0002929587 0.00000001385058 0.367952731103 0.031750903 0.00005077962
## 464  0.0500890163 0.00000320060152 0.060896795370 0.397855779 0.00200883917
## 465  0.5970304920 0.00033595318248 0.000849637157 0.363299433 0.01511871248
## 466  0.6683187080 0.00097517703127 0.000452400255 0.294901946 0.02290227427
## 467  0.5454051890 0.00018847400959 0.001265657480 0.407122927 0.01213013714
## 468  0.3889613833 0.00025007194275 0.004743509670 0.514261705 0.01715838739
## 469  0.6103714974 0.00060159575416 0.000795340531 0.348134482 0.01999642473
## 470  0.6103714974 0.00060159575416 0.000795340531 0.348134482 0.01999642473
## 471  0.6675461330 0.00023355510483 0.000404900607 0.305794906 0.01101585681
## 472  0.6414043942 0.00113092874824 0.000608037341 0.315903133 0.02607980358
## 473  0.6319941404 0.00137692969231 0.000669908990 0.321397624 0.02923991042
## 474  0.6119746100 0.00043462168165 0.000762747755 0.349221808 0.01687356129
## 475  0.5715913567 0.00007517376671 0.000910852054 0.388123683 0.00723040097
## 476  0.5715913567 0.00007517376671 0.000910852054 0.388123683 0.00723040097
## 477  0.7244001799 0.00841570838404 0.000197532151 0.205949324 0.05645387853
## 478  0.7244001799 0.00841570838404 0.000197532151 0.205949324 0.05645387853
## 479  0.5931992353 0.00015400275428 0.000817701205 0.369431975 0.01016662723
## 480  0.6730478463 0.01625116881890 0.000300791430 0.220653159 0.08435435813
## 481  0.6539404560 0.01223431304068 0.000419568616 0.247791359 0.07838563432
## 482  0.4061738785 0.00001921741452 0.002800679767 0.502804007 0.00433926799
## 483  0.4203435898 0.00016136267351 0.003491318150 0.495668414 0.01314678999
## 484  0.5220612033 0.00024516765009 0.001598055129 0.423965655 0.01438861324
## 485  0.3951071473 0.00565000269784 0.005379096868 0.464218433 0.08309049913
## 486  0.6354304693 0.14195589700736 0.000027723510 0.079891979 0.14211814970
## 487  0.3951071473 0.00565000269784 0.005379096868 0.464218433 0.08309049913
## 488  0.7198502926 0.00377938127196 0.000242232905 0.230237610 0.03968659675
## 489  0.5529852407 0.00011130752089 0.001105448435 0.402687233 0.00910447655
## 490  0.6582022118 0.06637983148856 0.000108346381 0.139571806 0.13384554606
## 491  0.7092597566 0.00056119060234 0.000275407104 0.264324497 0.01583201542
## 492  0.6252064081 0.00040385770329 0.000660576905 0.338857709 0.01584137057
## 493  0.6185019896 0.00035560071054 0.000696450358 0.345240352 0.01501022088
## 494  0.0325678784 0.00000900215850 0.107204284228 0.343138485 0.00338104116
## 495  0.7005451673 0.00320101340921 0.000314997830 0.249660770 0.03856385163
## 496  0.6458231099 0.00188217620958 0.000584117996 0.305279653 0.03328810336
## 497  0.2331817078 0.00003479538695 0.012314133420 0.566891859 0.00695916035
## 498  0.5372827588 0.16460524296701 0.000090914006 0.105588415 0.19116289377
## 499  0.7005451673 0.00320101340921 0.000314997830 0.249660770 0.03856385163
## 500  0.7136535140 0.00296620386325 0.000270253406 0.240031305 0.03605273784
## 501  0.5076649082 0.00009669439063 0.001615963866 0.438014854 0.00786456884
## 502  0.7014394154 0.01170969668985 0.000244376132 0.213653577 0.06796592964
## 503  0.5247985775 0.20193270831468 0.000052388512 0.086837994 0.18557478480
## 504  0.6539404560 0.01223431304068 0.000419568616 0.247791359 0.07838563432
## 505  0.3805861870 0.00021830609775 0.004957113502 0.518824321 0.01610299325
## 506  0.1907139982 0.00016407004468 0.023022595186 0.571163242 0.01634472482
## 507  0.5259426712 0.17224213603936 0.000089777594 0.106666021 0.19381322871
## 508  0.6574268084 0.00111786412798 0.000511336400 0.302650288 0.02507868099
## 509  0.6787189373 0.00830613869713 0.000351077243 0.242961701 0.06275862954
## 510  0.4751330398 0.00021377968436 0.002322702441 0.458717353 0.01426199121
## 511  0.6346088950 0.00099639442390 0.000643960444 0.323194831 0.02472000569
## 512  0.7031756429 0.00361274780443 0.000299139844 0.245199359 0.04044727787
## 513  0.6346088950 0.00099639442390 0.000643960444 0.323194831 0.02472000569
## 514  0.6658330612 0.00044904910057 0.000440355749 0.303675398 0.01549628570
## 515  0.4727692261 0.00004107979077 0.001869962144 0.462186756 0.00600578820
## 516  0.5249496624 0.00222619823379 0.001839672850 0.398891356 0.04433320802
## 517  0.4079115544 0.00299416647741 0.005021439346 0.473628429 0.06016076287
## 518  0.6602375746 0.00118989985186 0.000497465980 0.299524987 0.02573545430
## 519  0.6602375746 0.00118989985186 0.000497465980 0.299524987 0.02573545430
## 520  0.1779892080 0.00515824457627 0.037762992259 0.533871839 0.09898592801
## 521  0.6285432849 0.00087846545773 0.000679641081 0.329625981 0.02344968472
## 522  0.3914691428 0.01641173023864 0.004700752967 0.416606217 0.13650986282
## 523  0.7145591028 0.02772208901559 0.000126337713 0.163147944 0.09184932666
## 524  0.5828216252 0.00025979257426 0.000942097680 0.376186296 0.01353997968
## 525  0.6925036568 0.00115998560690 0.000348022463 0.272207188 0.02374830272
## 526  0.6468578930 0.11838581051281 0.000039357158 0.092694765 0.14123949380
## 527  0.7088903710 0.00168267099751 0.000291869912 0.253220382 0.02764689678
## 528  0.7448227559 0.00566863205366 0.000163811063 0.200181293 0.04482531491
## 529  0.3457797260 0.00372455919303 0.008436992946 0.503470935 0.07203701171
## 530  0.6366582825 0.00072037555175 0.000618540390 0.324765176 0.02088209747
## 531  0.5376563899 0.00011904380848 0.001274356859 0.414371810 0.00964449556
## 532  0.6251075587 0.00056031346126 0.000686117696 0.336446171 0.01879243017
## 533  0.6167582019 0.00008460311071 0.000613142530 0.351362023 0.00715680100
## 534  0.5970341664 0.00046627132631 0.000883411297 0.361056182 0.01793976697
## 535  0.6251075587 0.00056031346126 0.000686117696 0.336446171 0.01879243017
## 536  0.6991901693 0.00319737945257 0.000316948186 0.251032950 0.03851372491
## 537  0.6625963750 0.00086060873116 0.000477964310 0.301078647 0.02174716036
## 538  0.6991901693 0.00319737945257 0.000316948186 0.251032950 0.03851372491
## 539  0.6873099370 0.00047327597051 0.000355755342 0.284523141 0.01529032415
## 540  0.5437241856 0.04005383268792 0.000775620217 0.252582164 0.15439967967
## 541  0.4471930312 0.06779556799161 0.001318990134 0.258989140 0.21418202321
## 542  0.6808429422 0.03814097947988 0.000154149008 0.166979810 0.11109942129
## 543  0.6808429422 0.03814097947988 0.000154149008 0.166979810 0.11109942129
## 544  0.6265962128 0.00020998840146 0.000607373530 0.341090834 0.01125806811
## 545  0.6261635212 0.00121437228158 0.000707233200 0.327887931 0.02774575000
## 546  0.6837033055 0.00324324982802 0.000379536556 0.263747996 0.04015433037
## 547  0.6299740826 0.00462501835912 0.000667170167 0.299339761 0.05326922508
## 548  0.7120251377 0.00461335951554 0.000264219941 0.232128606 0.04462288708
## 549  0.7084202358 0.00408551844059 0.000280271075 0.237920343 0.04251848358
## 550  0.6895976804 0.00160273120774 0.000362025201 0.270645332 0.02808672942
## 551  0.6327696966 0.00137795879939 0.000668086274 0.320615496 0.02927274190
## 552  0.7063997770 0.00714678184252 0.000259533151 0.225449010 0.05499632263
## 553  0.6327696966 0.00137795879939 0.000668086274 0.320615496 0.02927274190
## 554  0.7281645381 0.00511561296624 0.000209036050 0.216504995 0.04473880587
## 555  0.6792893806 0.00125094066857 0.000404939856 0.282678685 0.02537729841
## 556  0.5474814031 0.00013622403279 0.001208236867 0.406110509 0.01022394290
## 557  0.5659826716 0.14072471339136 0.000089534707 0.113150147 0.17871996402
## 558  0.5322042461 0.00172005000172 0.001725245660 0.397831301 0.03861623339
## 559  0.3336470112 0.00009509492326 0.006371078022 0.542978617 0.01090274377
## 560  0.5659736342 0.00053448202778 0.001182668112 0.385251465 0.02020137586
## 561  0.6805381500 0.00125268311747 0.000402918508 0.281437186 0.02540607667
## 562  0.5220612033 0.00024516765009 0.001598055129 0.423965655 0.01438861324
## 563  0.6115238413 0.00130407395058 0.000819222405 0.339058594 0.02952321197
## 564  0.5057639547 0.00007018003808 0.001548135725 0.438917813 0.00763521567
## 565  0.5267848349 0.00074286974387 0.001721540552 0.412851855 0.02539018142
## 566  0.5267848349 0.00074286974387 0.001721540552 0.412851855 0.02539018142
## 567  0.7248292152 0.00274235098548 0.000233448833 0.232127920 0.03363784652
## 568  0.4764583762 0.00008004946413 0.002035028869 0.459104921 0.00851131252
## 569  0.6770867365 0.00269716824878 0.000413413917 0.272888125 0.03726590725
## 570  0.6440008532 0.00176967860399 0.000598572100 0.307623633 0.03248018130
## 571  0.3936601183 0.00076314143144 0.005153582507 0.504476312 0.03046213249
## 572  0.0169921340 0.00000047836137 0.099129249865 0.248462893 0.00065033572
## 573  0.6203778404 0.04038172193151 0.000316827836 0.203176732 0.13118221263
## 574  0.5677743708 0.00027831826712 0.001088275265 0.387917656 0.01437019289
## 575  0.2263531924 0.00003014023517 0.012726385939 0.567227073 0.00647422470
## 576  0.3426930832 0.00021157818120 0.006683462486 0.538396425 0.01646362355
## 577  0.5421354596 0.00069550130031 0.001495228534 0.401735661 0.02398375852
## 578  0.0512722108 0.00005356434606 0.101335837225 0.422190562 0.00913336995
## 579  0.6354822080 0.00099745619270 0.000642026515 0.322323840 0.02474660721
## 580  0.5439862354 0.00050282776899 0.001433915529 0.402917775 0.02025658644
## 581  0.0154378333 0.00000035043834 0.100415256434 0.240154743 0.00054243753
## 582  0.6948170878 0.00083878769499 0.000334294489 0.273582288 0.02006402976
## 583  0.4201866751 0.00022389612706 0.003646592398 0.495065155 0.01561284654
## 584  0.3805861870 0.00021830609775 0.004957113502 0.518824321 0.01610299325
## 585  0.2983098250 0.00017646792196 0.009292072369 0.557093391 0.01560738279
## 586  0.1353358844 0.00001958211403 0.027528631068 0.540348892 0.00462663891
## 587  0.1620805526 0.00003081362814 0.022823493853 0.556212809 0.00681698528
## 588  0.6858026826 0.00344825249222 0.000368807676 0.260725230 0.04115921121
## 589  0.6780714794 0.00446477437018 0.000393319646 0.261295704 0.04732086583
## 590  0.0032949721 0.00000039529480 0.253182385790 0.115809841 0.00046307783
## 591  0.5796853639 0.00069089312510 0.001066747426 0.372093299 0.02255433430
## 592  0.4197818237 0.00022363431662 0.003647048859 0.495458546 0.01561426821
## 593  0.1321269414 0.00000525591571 0.022378732805 0.527297262 0.00266998188
## 594  0.3116882300 0.00012078244756 0.007856022343 0.552371816 0.01262988882
## 595  0.4298586638 0.00218841222889 0.004138681631 0.467395380 0.04924112107
## 596  0.3341993925 0.00068142406290 0.008274271612 0.537129402 0.03062475110
## 597  0.5071422959 0.00026058937672 0.001839383412 0.435626915 0.01419268760
## 598  0.0591742014 0.00000227452702 0.048506593066 0.420429479 0.00168295752
## 599  0.0591742014 0.00000227452702 0.048506593066 0.420429479 0.00168295752
## 600  0.1240795642 0.00000754062080 0.026047610870 0.523689999 0.00324700311
## 601  0.5467913834 0.00236818941890 0.001515872869 0.380970908 0.04423859918
## 602  0.2983098250 0.00017646792196 0.009292072369 0.557093391 0.01560738279
## 603  0.7281645381 0.00511561296624 0.000209036050 0.216504995 0.04473880587
## 604  0.6392701175 0.00243946800199 0.000623589073 0.306265891 0.03830881950
## 605  0.6402447452 0.00380496514199 0.000609133798 0.295932548 0.04758182731
## 606  0.6392701175 0.00243946800199 0.000623589073 0.306265891 0.03830881950
## 607  0.5681677421 0.00020059922250 0.001043277609 0.389025812 0.01210946596
## 608  0.5681677421 0.00020059922250 0.001043277609 0.389025812 0.01210946596
## 609  0.2006936883 0.00002320016764 0.015213463184 0.563896969 0.00573196713
## 610  0.2006936883 0.00002320016764 0.015213463184 0.563896969 0.00573196713
## 611  0.2006936883 0.00002320016764 0.015213463184 0.563896969 0.00573196713
## 612  0.0898238898 0.00000298022159 0.032744140776 0.478579923 0.00197532692
## 613  0.2042819733 0.00000994944999 0.012714254490 0.560079225 0.00363438653
## 614  0.6859900900 0.00221226418410 0.000376230992 0.268854203 0.03318701720
## 615  0.3487387753 0.00009036346287 0.005615219134 0.535958052 0.01045725391
## 616  0.6484544577 0.00200308200507 0.000568179141 0.302077720 0.03415406565
## 617  0.6560646024 0.00241319082855 0.000522650646 0.292521690 0.03687080947
## 618  0.4106514033 0.00052109628996 0.004333648282 0.497138899 0.02452756930
## 619  0.3870746522 0.00004755993305 0.003810512911 0.515842604 0.00618563767
## 620  0.0598324634 0.00000319497658 0.051229304502 0.424521704 0.00202210518
## 621  0.2578738889 0.00154356306527 0.016940093998 0.555920844 0.05028577405
## 622  0.3397674342 0.00220986099616 0.008726111746 0.518735488 0.05577230908
## 623  0.0452729793 0.00000228707408 0.062573724419 0.381299731 0.00166469071
## 624  0.5819888480 0.00149955774048 0.001094437494 0.360967845 0.03335712160
## 625  0.5505162577 0.00653051877952 0.001380446707 0.351201707 0.07175181082
## 626  0.5894881570 0.01275166490066 0.000842345663 0.294151098 0.09117099117
## 627  0.2844391338 0.00035647484807 0.011472690816 0.560559428 0.02288589500
## 628  0.7212779674 0.06409546350701 0.000041543851 0.105039459 0.10858641020
## 629  0.6677474590 0.00328600591444 0.000453921164 0.276779381 0.04181597197
## 630  0.6280054947 0.00029211275791 0.000630271373 0.338140338 0.01336791665
## 631  0.6677474590 0.00328600591444 0.000453921164 0.276779381 0.04181597197
## 632  0.6349248546 0.00215484886977 0.000657130304 0.311930997 0.03643225158
## 633  0.4100431826 0.00072119104422 0.004516980708 0.494780011 0.02905383562
## 634  0.0217785522 0.00000099859650 0.096518057207 0.283832890 0.00099258211
## 635  0.4100431826 0.00072119104422 0.004516980708 0.494780011 0.02905383562
## 636  0.0217785522 0.00000099859650 0.096518057207 0.283832890 0.00099258211
## 637  0.0580847143 0.00000306599518 0.051468818026 0.423043577 0.00198745284
## 638  0.4195158361 0.00121421764008 0.004373993282 0.483930428 0.03765871931
## 639  0.4195158361 0.00121421764008 0.004373993282 0.483930428 0.03765871931
## 640  0.3873866735 0.00066449564258 0.005383287915 0.510021310 0.02863214109
## 641  0.3049112808 0.00028172875893 0.009341522996 0.554528195 0.01985250742
## 642  0.2180439594 0.00022820681684 0.018928872415 0.573234504 0.01910276509
## 643  0.3352066485 0.00025566719085 0.007277219102 0.541537443 0.01832135101
## 644  0.0101987069 0.00000089500810 0.154886429511 0.198468609 0.00085159792
## 645  0.1522643644 0.00000689589181 0.019219359189 0.539977076 0.00307336825
## 646  0.0713586864 0.00002000632760 0.060591711834 0.460400720 0.00547694733
## 647  0.0533383844 0.00000292219215 0.056402689107 0.405953431 0.00192044302
## 648  0.4246784356 0.00301884501475 0.004298398606 0.463456075 0.05900286481
## 649  0.4123498941 0.00010146325913 0.003492349416 0.500916127 0.01039454552
## 650  0.1828017491 0.00002067907973 0.017516153664 0.560027052 0.00544843740
## 651  0.2003393915 0.00039591384078 0.024035993610 0.571853944 0.02587837137
## 652  0.3180212418 0.00007177533761 0.006900816500 0.549143814 0.00953488342
## 653  0.2003393915 0.00039591384078 0.024035993610 0.571853944 0.02587837137
## 654  0.2150891475 0.00008421220029 0.016471173632 0.572589718 0.01129285133
## 655  0.1081528183 0.00000239769469 0.025164789082 0.499695745 0.00175920289
## 656  0.2556756887 0.00000841940691 0.008065781709 0.554836131 0.00321465672
## 657  0.7556259489 0.00464609504628 0.000148953656 0.197151150 0.03821065753
## 658  0.2150891475 0.00008421220029 0.016471173632 0.572589718 0.01129285133
## 659  0.0503643002 0.00000325274403 0.060692808509 0.400777832 0.00202131193
## 660  0.6231587481 0.00167711597981 0.000735306528 0.325885352 0.03279999509
## 661  0.5474814031 0.00013622403279 0.001208236867 0.406110509 0.01022394290
## 662  0.4698763807 0.00108995356194 0.002856877077 0.450556742 0.03336415894
## 663  0.0567491556 0.00000266547293 0.052203178631 0.413846409 0.00183434364
## 664  0.1730111882 0.00005776321521 0.022627032867 0.565341640 0.00949004361
## 665  0.0173393629 0.00000049765931 0.099229656621 0.254265459 0.00066447552
## 666  0.4525006172 0.00014360790875 0.002659316451 0.476082833 0.01192265669
## 667  0.0375649330 0.00000167220917 0.069294122652 0.356061951 0.00138181540
## 668  0.0840694287 0.00001956688182 0.050356548429 0.484612177 0.00542744079
## 669  0.0214869778 0.00000070882015 0.091151705148 0.280400876 0.00082390873
## 670  0.0188978132 0.00000010619944 0.068919915390 0.256061080 0.00029191575
## 671  0.0188978132 0.00000010619944 0.068919915390 0.256061080 0.00029191575
## 672  0.0214869778 0.00000070882015 0.091151705148 0.280400876 0.00082390873
## 673  0.1240795642 0.00000754062080 0.026047610870 0.523689999 0.00324700311
## 674  0.0461120760 0.00000327520002 0.065931174079 0.388619951 0.00201677975
## 675  0.1916351326 0.00000423663935 0.011935826886 0.552380321 0.00232457993
## 676  0.1350024238 0.00001430734830 0.026137216236 0.536071037 0.00457303979
## 677  0.2639112754 0.00032282169332 0.013441608044 0.567629745 0.02214424240
## 678  0.2356182198 0.00009416044724 0.014182197804 0.570934016 0.01179372172
## 679  0.6925036568 0.00115998560690 0.000348022463 0.272207188 0.02374830272
## 680  0.6602375746 0.00118989985186 0.000497465980 0.299524987 0.02573545430
## 681  0.2356182198 0.00009416044724 0.014182197804 0.570934016 0.01179372172
## 682  0.7510692605 0.00411872203933 0.000158095474 0.202107686 0.03804392166
## 683  0.0537893550 0.00000747204320 0.066966726023 0.413819732 0.00318359482
## 684  0.1412613938 0.00000505811749 0.020260628599 0.530967932 0.00261373334
## 685  0.0438401075 0.00000277073023 0.066802451875 0.380481329 0.00183623653
## 686  0.5757810003 0.00016448950695 0.000950368330 0.383650620 0.01078881155
## 687  0.7409050967 0.00183785248524 0.000192513231 0.224439763 0.02657313388
## 688  0.1564341275 0.00002653809332 0.023446925097 0.553263995 0.00630282124
## 689  0.3887273423 0.00025047739352 0.004746600244 0.513696891 0.01714875171
## 690  0.6557948459 0.03130497369584 0.000253214880 0.196958846 0.11155001486
## 691  0.0364616733 0.00001771919933 0.110645880679 0.361636212 0.00491120932
## 692  0.3887273423 0.00025047739352 0.004746600244 0.513696891 0.01714875171
## 693  0.2705785332 0.00037296186259 0.012947134516 0.564465428 0.02372502374
## 694  0.5373266164 0.00008562034704 0.001220641967 0.415203958 0.00811557706
## 695  0.5606800248 0.00012683335797 0.001051471544 0.396369978 0.00963791738
## 696  0.1608200562 0.00000868503765 0.018445939813 0.545965547 0.00346469202
## 697  0.5606800248 0.00012683335797 0.001051471544 0.396369978 0.00963791738
## 698  0.5213359524 0.00006575073159 0.001346014130 0.427516968 0.00722314726
## 699  0.5213359524 0.00006575073159 0.001346014130 0.427516968 0.00722314726
## 700  0.5538827257 0.00124358699855 0.001403572701 0.385920358 0.03172852994
## 701  0.7723299600 0.03539906405377 0.000039584975 0.109512357 0.08165762903
## 702  0.0808429928 0.00028792291947 0.083421944229 0.485402612 0.02281208636
## 703  0.1420709134 0.00003273770515 0.028113796386 0.547129332 0.00709542558
## 704  0.3800530295 0.00011305296980 0.004541565054 0.519911149 0.01139833099
## 705  0.0180505466 0.00000139137904 0.117875885072 0.263732298 0.00116185217
## 706  0.0620726858 0.00000268165420 0.047745154323 0.428266387 0.00184352643
## 707  0.0650789765 0.00000315983547 0.046971981249 0.436024877 0.00201832450
## 708  0.0555476209 0.00000453048656 0.058941708598 0.416831064 0.00243074803
## 709  0.0250664306 0.00000084526897 0.084046092324 0.299843451 0.00092094562
## 710  0.2726289372 0.00002198609306 0.008260665861 0.558079657 0.00528872607
## 711  0.5598626201 0.14770236289872 0.000085778201 0.110309101 0.18076736602
## 712  0.6342328363 0.00523134074230 0.000630067814 0.292530079 0.05599967015
## 713  0.2914372306 0.00041032731416 0.011032408273 0.557722763 0.02448417653
## 714  0.0275246823 0.00000279913086 0.098778465746 0.318515836 0.00177287715
## 715  0.0069767895 0.00000006450616 0.117533965722 0.158422797 0.00019640325
## 716  0.4118129046 0.00027110257072 0.003981720406 0.499785260 0.01742720188
## 717  0.0662558739 0.00000615475897 0.052526456291 0.442034488 0.00289977868
## 718  0.0662558739 0.00000615475897 0.052526456291 0.442034488 0.00289977868
## 719  0.3960809365 0.00028679247224 0.004542523411 0.509088671 0.01826675559
## 720  0.0308320842 0.00000163764283 0.081153775664 0.327108534 0.00134621047
## 721  0.4492763690 0.00073143578647 0.003291523438 0.469856747 0.02798892282
## 722  0.5952496354 0.01828504382204 0.000701560886 0.271415678 0.10487930423
## 723  0.0182674352 0.00000080571133 0.104364514038 0.259027450 0.00086853235
## 724  0.3395492387 0.00545173593594 0.008539873017 0.497050971 0.08701823871
## 725  0.4492763690 0.00073143578647 0.003291523438 0.469856747 0.02798892282
## 726  0.7165056796 0.02331851925608 0.000139382214 0.170895861 0.08624906641
## 727  0.6983212733 0.00923970479447 0.000273608056 0.223368420 0.06313365694
## 728  0.2671366929 0.00003712289231 0.009399171891 0.563099958 0.00701620955
## 729  0.0217785522 0.00000099859650 0.096518057207 0.283832890 0.00099258211
## 730  0.0323411493 0.00000466847660 0.095885599968 0.342680766 0.00237181854
## 731  0.2562345629 0.00014522942562 0.012748870948 0.568733519 0.01460029177
## 732  0.5451910176 0.00036314419272 0.001375037716 0.404115052 0.01708833893
## 733  0.0512123364 0.00000632742757 0.067965593888 0.405718170 0.00290251112
## 734  0.1629828338 0.00004303566714 0.023975547506 0.558600618 0.00814497003
## 735  0.5244341327 0.00842959119374 0.001723127448 0.360374535 0.08453940859
## 736  0.3566750050 0.00010385458242 0.005387615252 0.532164836 0.01116568983
## 737  0.2909967726 0.00015322433302 0.009658134344 0.559565956 0.01458125170
## 738  0.3202522567 0.00019354213988 0.007893341659 0.548565646 0.01605579136
## 739  0.6532659327 0.00034899850238 0.000490727610 0.316020137 0.01394727196
## 740  0.0532728435 0.00007102273846 0.098223778243 0.430544684 0.01064267768
## 741  0.0178170475 0.00000098816853 0.111312706870 0.260610531 0.00096475717
## 742  0.7614650735 0.00337826301247 0.000142001017 0.196838288 0.03384370958
## 743  0.0885224103 0.00003213211753 0.051998500899 0.494951008 0.00708982368
## 744  0.6474032144 0.00022168101940 0.000496435932 0.323287283 0.01114754047
## 745  0.1819415824 0.00013125646979 0.024119280027 0.570169064 0.01460086211
## 746  0.0885224103 0.00003213211753 0.051998500899 0.494951008 0.00708982368
## 747  0.3143272686 0.00000980990014 0.005225659043 0.540813521 0.00332641430
## 748  0.0355027513 0.00000465916269 0.086226569528 0.354673272 0.00238669925
## 749  0.1308915969 0.00001714941926 0.028207437630 0.534545598 0.00504571824
## 750  0.0540228512 0.00000225598227 0.052987725418 0.405662105 0.00167198085
## 751  0.2728304603 0.00218685300657 0.015294021001 0.546116887 0.05930649840
## 752  0.5382502086 0.00132879784983 0.001618157191 0.397158626 0.03359526374
## 753  0.0642032698 0.00003413824551 0.074798861896 0.451695511 0.00725865058
## 754  0.1697682036 0.00001100286250 0.017649349057 0.552752745 0.00390926460
## 755  0.4078652683 0.00099812626170 0.004704362743 0.493023411 0.03441284373
## 756  0.1489770308 0.00001167837111 0.021795044980 0.543900018 0.00407346956
## 757  0.7695172923 0.01522731350760 0.000080399705 0.150188034 0.06285574469
## 758  0.4315459286 0.00107590932568 0.003929094671 0.476712327 0.03480697702
## 759  0.1028673019 0.00000667608049 0.032506743510 0.500495108 0.00305744574
## 760  0.1874269430 0.00002380772647 0.017009394222 0.563689368 0.00586704400
## 761  0.0279773659 0.00000119223111 0.082562994594 0.315523628 0.00112093400
## 762  0.0279773659 0.00000119223111 0.082562994594 0.315523628 0.00112093400
## 763  0.5321476102 0.00010483960096 0.001333274129 0.418347373 0.00911186822
## 764  0.0767629247 0.00001408261550 0.052504565956 0.468439418 0.00454740356
## 765  0.5821527959 0.00036022138116 0.000982415358 0.374987714 0.01606035326
## 766  0.0884443696 0.00000699721576 0.039163408874 0.483292081 0.00312498301
## 767  0.0737631573 0.00000108350946 0.033526270736 0.440957681 0.00114321378
## 768  0.4605657279 0.00011835765651 0.002428469925 0.471026043 0.01066470231
## 769  0.4605657279 0.00011835765651 0.002428469925 0.471026043 0.01066470231
## 770  0.0468612342 0.00000139587297 0.051894993349 0.384788143 0.00127505258
## 771  0.1117394554 0.00000916737020 0.031076636745 0.512841276 0.00362207723
## 772  0.2054675909 0.00017035402177 0.020250023178 0.572830429 0.01651034324
## 773  0.0455724147 0.00000233025967 0.062374754548 0.384579120 0.00167737289
## 774  0.4765224966 0.00394875509346 0.002812071418 0.420652876 0.06316393096
## 775  0.4765224966 0.00394875509346 0.002812071418 0.420652876 0.06316393096
## 776  0.6506990803 0.00066963989262 0.000533033584 0.313548044 0.01959121836
## 777  0.0295684970 0.00000194268281 0.086709102357 0.322632081 0.00146986868
## 778  0.1035315817 0.00004304008724 0.045352185324 0.514599554 0.00830346333
## 779  0.1035315817 0.00004304008724 0.045352185324 0.514599554 0.00830346333
## 780  0.0603059440 0.00002045276028 0.072267340027 0.436214105 0.00550099758
## 781  0.0518863980 0.00004680285630 0.093968328492 0.424786682 0.00850718656
## 782  0.0650789765 0.00000315983547 0.046971981249 0.436024877 0.00201832450
## 783  0.7309299213 0.01522485679784 0.000145017331 0.179629844 0.07081375813
## 784  0.2979262220 0.00012697211593 0.008883025189 0.557095678 0.01312129461
## 785  0.5283057209 0.00053696220900 0.001652384399 0.414516902 0.02143608597
## 786  0.0520675773 0.00000900577834 0.071574763691 0.412792634 0.00350569754
## 787  0.1648235320 0.00001312586412 0.019119113539 0.551053391 0.00431361306
## 788  0.0056898310 0.00000057693984 0.198172986559 0.148120369 0.00061684774
## 789  0.3452027715 0.00171297548099 0.008218790773 0.520640982 0.04870977016
## 790  0.3452027715 0.00171297548099 0.008218790773 0.520640982 0.04870977016
## 791  0.3452027715 0.00171297548099 0.008218790773 0.520640982 0.04870977016
## 792  0.0091168951 0.00000087987733 0.164897573638 0.187980036 0.00083038172
## 793  0.0683180734 0.00017386096786 0.088910504352 0.469991868 0.01735365741
## 794  0.0309513411 0.00001830340509 0.111288596312 0.345436838 0.00493484959
## 795  0.0656566260 0.00002024537563 0.066222652356 0.448528496 0.00549350421
## 796  0.0822358398 0.00000215945528 0.034043686651 0.464619621 0.00165819110
## 797  0.3457797260 0.00372455919303 0.008436992946 0.503470935 0.07203701171
## 798  0.4513179649 0.00014315015609 0.002671339797 0.476079192 0.01190528942
## 799  0.4862721620 0.00102406891990 0.002489583715 0.439486528 0.03165525133
## 800  0.0046524730 0.00000030098577 0.202115275010 0.137115847 0.00042303663
## 801  0.2229354272 0.00009789579518 0.015916073203 0.572351828 0.01215611188
## 802  0.0517088965 0.00000194487578 0.053589314948 0.400660637 0.00153470397
## 803  0.0382213227 0.00000097438087 0.061369520671 0.351897060 0.00103739339
## 804  0.2112190216 0.00014172163026 0.018694185179 0.572815776 0.01491536890
## 805  0.6406722925 0.00019521715044 0.000523630520 0.329522138 0.01056579409
## 806  0.6251075587 0.00056031346126 0.000686117696 0.336446171 0.01879243017
## 807  0.5474814031 0.00013622403279 0.001208236867 0.406110509 0.01022394290
## 808  0.1952930165 0.00002790946486 0.016476678386 0.564426407 0.00634732868
## 809  0.1686975009 0.00005005679902 0.023287892866 0.561529538 0.00880303693
## 810  0.2838380723 0.00000770885371 0.006360424336 0.548438367 0.00300149140
## 811  0.3376656786 0.00002900153307 0.005108747820 0.538574856 0.00578847438
## 812  0.1885175682 0.00000371258091 0.012275186156 0.546601773 0.00216836915
## 813  0.5524184958 0.00041336706097 0.001307533842 0.397675606 0.01807952627
## 814  0.0939849808 0.00001609852767 0.042626119993 0.497459285 0.00489364760
## 815  0.1090641003 0.00001537604725 0.035264916629 0.514206066 0.00478168521
## 816  0.0552943854 0.00000446800664 0.059143319802 0.414213022 0.00241861066
## 817  0.0831134102 0.00008881846980 0.066805544973 0.488484713 0.01221112895
## 818  0.6174261485 0.00147914278860 0.000776268989 0.332464958 0.03112393126
## 819  0.2026047851 0.00004519989536 0.016754076784 0.568126183 0.00817025418
## 820  0.6174261485 0.00147914278860 0.000776268989 0.332464958 0.03112393126
## 821  0.0308005707 0.00000035882528 0.060430738234 0.320348164 0.00059222752
## 822  0.0352263627 0.00001532949156 0.112090147034 0.361422378 0.00453267588
## 823  0.0627494852 0.00000376560052 0.050415703003 0.432346888 0.00221445833
## 824  0.6548386204 0.01298841232411 0.000407030493 0.244552121 0.08022422746
## 825  0.0283417464 0.00000167823790 0.087380442143 0.319220627 0.00134954242
## 826  0.0526421235 0.00000378274325 0.060029228776 0.406065406 0.00220485609
## 827  0.1811625411 0.00009424590520 0.023014451594 0.567904793 0.01224638339
## 828  0.2810098858 0.00003541043616 0.008345877691 0.558491023 0.00676684376
## 829  0.0517352078 0.00000888572892 0.071773450433 0.409286680 0.00348567849
## 830  0.5165202415 0.00008055826287 0.001469181568 0.430325052 0.00810881888
## 831  0.5165202415 0.00008055826287 0.001469181568 0.430325052 0.00810881888
## 832  0.2503571948 0.00046908788780 0.015827801243 0.568200624 0.02722654788
## 833  0.4579008720 0.02123940535145 0.002589498863 0.365030742 0.13110419874
## 834  0.4170360685 0.02856890458579 0.003074099899 0.362218606 0.16608183588
## 835  0.1767048420 0.00001778316674 0.018045105129 0.557349518 0.00504340659
## 836  0.1343440431 0.00001978368242 0.027522285911 0.540541455 0.00545067254
## 837  0.7358164230 0.00394806254859 0.000195841856 0.215867255 0.03888345029
## 838  0.3989008522 0.00120695267894 0.005126861778 0.496256239 0.03832190555
## 839  0.3989008522 0.00120695267894 0.005126861778 0.496256239 0.03832190555
## 840  0.6606718562 0.10341897359237 0.000053838147 0.105368794 0.12946290542
## 841  0.0351373918 0.00000456699491 0.088868312194 0.350581889 0.00236563942
## 842  0.5242556914 0.02842926149559 0.001133827486 0.293706209 0.14055350691
## 843  0.0181122718 0.00000042035996 0.093087199957 0.258235164 0.00060977924
## 844  0.7292669847 0.01007813337987 0.000178277510 0.195825435 0.06054632964
## 845  0.5698602468 0.00020119084049 0.001039626660 0.387387448 0.01211925186
## 846  0.5998182625 0.00101316963013 0.000909811231 0.351685205 0.02656133912
## 847  0.1412613938 0.00000505811749 0.020260628599 0.530967932 0.00261373334
## 848  0.6668123692 0.00134946771792 0.000468762075 0.292227859 0.02712684593
## 849  0.5998182625 0.00101316963013 0.000909811231 0.351685205 0.02656133912
## 850  0.1392519381 0.00001200464460 0.024165107114 0.538339584 0.00414890320
## 851  0.1099800375 0.00002161651851 0.036867075053 0.518504080 0.00572924478
## 852  0.7408858357 0.00988501060941 0.000149918094 0.187634575 0.05780047600
## 853  0.1828258871 0.00002076375390 0.017495972336 0.560783319 0.00545372830
## 854  0.1828258871 0.00002076375390 0.017495972336 0.560783319 0.00545372830
## 855  0.6367353933 0.00591302602234 0.000597607363 0.287263413 0.05878004386
## 856  0.1828258871 0.00002076375390 0.017495972336 0.560783319 0.00545372830
## 857  0.1668583498 0.00002574204412 0.021085625806 0.557322121 0.00617010792
## 858  0.5195549770 0.00195709188790 0.001935329385 0.405182337 0.04197383328
## 859  0.5195549770 0.00195709188790 0.001935329385 0.405182337 0.04197383328
## 860  0.2801353452 0.00002539626819 0.007965113672 0.557032822 0.00567540183
## 861  0.6612985113 0.00119134544910 0.000495472750 0.298467330 0.02576502354
## 862  0.2204736522 0.00003618493115 0.013809539865 0.567638421 0.00717030217
## 863  0.0913535921 0.00000579973920 0.036511002630 0.484646240 0.00283359020
## 864  0.0913535921 0.00000579973920 0.036511002630 0.484646240 0.00283359020
## 865  0.3491690759 0.00006519255436 0.005364808019 0.534766351 0.00879145342
## 866  0.6116725927 0.00031300217148 0.000734049528 0.351636603 0.01421813931
## 867  0.7199942099 0.00155550704984 0.000252056252 0.244834265 0.02580114559
## 868  0.6462696688 0.00128058569068 0.000577560123 0.310409294 0.02744427962
## 869  0.0067715313 0.00000088598264 0.200377823854 0.167137900 0.00079905600
## 870  0.5681677421 0.00020059922250 0.001043277609 0.389025812 0.01210946596
## 871  0.0303107192 0.00000034555845 0.060402555434 0.314133526 0.00058087182
## 872  0.5135058456 0.01224526856989 0.001727898325 0.352264725 0.10121440116
## 873  0.5681677421 0.00020059922250 0.001043277609 0.389025812 0.01210946596
## 874  0.1144657896 0.00084104177707 0.063742831805 0.527532730 0.04017204292
## 875  0.6695650868 0.00097661983859 0.000450290692 0.293668555 0.02292674895
## 876  0.1144657896 0.00084104177707 0.063742831805 0.527532730 0.04017204292
## 877  0.7099457032 0.00805697499044 0.000244446243 0.219740360 0.05663103578
## 878  0.2301186408 0.00081018727576 0.020140373117 0.571122271 0.03376000890
## 879  0.7165006364 0.00214775902519 0.000262046811 0.243281960 0.03049596466
## 880  0.6545758117 0.00105010547965 0.000525552752 0.305784862 0.02443678692
## 881  0.4265138597 0.00049203050984 0.003793812189 0.487463575 0.02337273075
## 882  0.6436956358 0.00754844543940 0.000532212707 0.273989320 0.06482042816
## 883  0.3716581687 0.00070377075350 0.006137556338 0.517614221 0.02994614443
## 884  0.6054582698 0.00114931440492 0.000864247461 0.345662386 0.02799505164
## 885  0.6728665618 0.00652099542050 0.000395144345 0.255307606 0.05703708240
## 886  0.7031756429 0.00361274780443 0.000299139844 0.245199359 0.04044727787
## 887  0.4379257669 0.00266742141150 0.003852160548 0.457508990 0.05458058892
## 888  0.7245318453 0.00175854198026 0.000238019537 0.239266190 0.02711023168
## 889  0.3347910386 0.00049181025088 0.007933346850 0.539111428 0.02582267535
## 890  0.3117177494 0.00086396427998 0.010193767000 0.544990924 0.03542588577
## 891  0.7267892910 0.00291460078207 0.000226757871 0.229378268 0.03446647693
## 892  0.4399812156 0.10526785019179 0.001021587772 0.232497265 0.21328663983
## 893  0.5143926005 0.00021499985762 0.001678168533 0.430241196 0.01357951469
## 894  0.0788149052 0.00000841520531 0.046325293454 0.468336451 0.00345146146
## 895  0.4880108975 0.00074072113512 0.002391725071 0.441751451 0.02674459104
## 896  0.4880108975 0.00074072113512 0.002391725071 0.441751451 0.02674459104
## 897  0.1573684843 0.00003697618080 0.024669361065 0.555353636 0.00753157841
## 898  0.5550280023 0.00015519137094 0.001149588719 0.399912013 0.01082405502
## 899  0.0023690203 0.00000017281948 0.246681296035 0.093064040 0.00028042679
## 900  0.1190178867 0.00002944919454 0.035398762171 0.528553384 0.00676147744
## 901  0.2085734419 0.00007266387127 0.017025425905 0.571911401 0.01048893806
## 902  0.7026213943 0.00148539656736 0.000310952068 0.260465509 0.02626893423
## 903  0.2914372306 0.00041032731416 0.011032408273 0.557722763 0.02448417653
## 904  0.7227320337 0.00703990062991 0.000214262955 0.212286816 0.05269661405
## 905  0.0694166191 0.00000985377464 0.054520784353 0.454652929 0.00302722923
## 906  0.6813627314 0.00474963761681 0.000379882286 0.256803033 0.04855529810
## 907  0.7227320337 0.00703990062991 0.000214262955 0.212286816 0.05269661405
## 908  0.0838551103 0.00000425132274 0.037877056135 0.472468172 0.00238808720
## 909  0.3809967088 0.00015744489122 0.004744641065 0.518949758 0.01355048001
## 910  0.3809967088 0.00015744489122 0.004744641065 0.518949758 0.01355048001
## 911  0.4761541728 0.00616005261524 0.002752994780 0.406835272 0.07834749518
## 912  0.5510557143 0.00171661475874 0.001458645559 0.383316094 0.03749706790
## 913  0.2398025233 0.00005583308522 0.012482182894 0.569506122 0.00891599450
## 914  0.2870930232 0.00004061031526 0.008048853471 0.558305082 0.00724609604
## 915  0.5312622144 0.00116873247034 0.001704111269 0.404371055 0.03176660597
## 916  0.5312622144 0.00116873247034 0.001704111269 0.404371055 0.03176660597
## 917  0.4389613557 0.00417852174942 0.003794567266 0.445519081 0.06800240335
## 918  0.3965493717 0.00112829441885 0.005243633436 0.498175267 0.03716752062
## 919  0.0396115288 0.00000496440316 0.081653551119 0.367755162 0.00249985349
## 920  0.6905902669 0.00250203268880 0.000355447943 0.262861728 0.03488618548
## 921  0.1084338810 0.00007037676765 0.046614767320 0.522499436 0.01079418827
## 922  0.1269263567 0.00018257414703 0.044287865313 0.542703444 0.01786303740
## 923  0.1010179874 0.27574332845992 0.000003176878 0.007786644 0.61542937071
## 924  0.1081460746 0.00024709029334 0.057568520134 0.524734782 0.02106895866
## 925  0.3539098256 0.01180024409127 0.007312121468 0.454177577 0.12431528983
## 926  0.1554726768 0.00001892883502 0.022338505643 0.549950651 0.00526988463
## 927  0.7687991338 0.01922095757546 0.000070702760 0.141540101 0.06851921762
## 928  0.6231587481 0.00167711597981 0.000735306528 0.325885352 0.03279999509
## 929  0.6045392489 0.00387412752801 0.000867403742 0.324548736 0.05113208087
## 930  0.7370689976 0.00253675331652 0.000200088828 0.222946418 0.03139890267
## 931  0.0400864693 0.00001770683362 0.102256410294 0.375437146 0.00495047341
## 932  0.2502887758 0.48254393578695 0.000040735532 0.045845925 0.22086993100
## 933  0.6349248546 0.00215484886977 0.000657130304 0.311930997 0.03643225158
## 934  0.1509278246 0.00104817360616 0.044022692730 0.552793797 0.04446210456
## 935  0.7837999942 0.01409002591614 0.000067521993 0.141576654 0.05855946383
## 936  0.1509278246 0.00104817360616 0.044022692730 0.552793797 0.04446210456
## 937  0.1100215523 0.00000901786073 0.031112456317 0.514149034 0.00359910605
## 938  0.3348594587 0.00013258261146 0.006660790894 0.542319540 0.01296978102
## 939  0.3348594587 0.00013258261146 0.006660790894 0.542319540 0.01296978102
## 940  0.3348594587 0.00013258261146 0.006660790894 0.542319540 0.01296978102
## 941  0.3348594587 0.00013258261146 0.006660790894 0.542319540 0.01296978102
## 942  0.6703506540 0.00070491216001 0.000434459201 0.296309721 0.01934372884
## 943  0.6181040590 0.00147989457743 0.000774535606 0.331777826 0.03115697150
## 944  0.6181040590 0.00147989457743 0.000774535606 0.331777826 0.03115697150
## 945  0.7476547229 0.04773871215447 0.000041229027 0.108975569 0.09456592159
## 946  0.4924063821 0.00010448780910 0.001852508213 0.447700050 0.00959317209
## 947  0.7164199430 0.01377390822664 0.000185571515 0.194798532 0.07085706423
## 948  0.6583376793 0.02344184098828 0.000297947342 0.212615798 0.10035640451
## 949  0.0733783035 0.00007676686627 0.074706126929 0.470240029 0.01125840117
## 950  0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 951  0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 952  0.6174377757 0.00049270979272 0.000725955757 0.343973278 0.01779408383
## 953  0.3964228514 0.00028695272113 0.004542919503 0.508764639 0.01825991514
## 954  0.3964228514 0.00028695272113 0.004542919503 0.508764639 0.01825991514
## 955  0.3964228514 0.00028695272113 0.004542919503 0.508764639 0.01825991514
## 956  0.3964228514 0.00028695272113 0.004542919503 0.508764639 0.01825991514
## 957  0.2201007672 0.00005016083823 0.014493083747 0.570421341 0.00854453583
## 958  0.4124296779 0.00014091670981 0.003650016961 0.500722029 0.01235348394
## 959  0.2553493375 0.00038872944278 0.014602519997 0.569108156 0.02455130175
## 960  0.7012098966 0.00339886016013 0.000307928506 0.248109298 0.03947024934
## 961  0.2003393915 0.00039591384078 0.024035993610 0.571853944 0.02587837137
## 962  0.5378202668 0.00195597319838 0.001639561693 0.391467000 0.04077632238
## 963  0.3376656786 0.00002900153307 0.005108747820 0.538574856 0.00578847438
## 964  0.3540169614 0.00003842507733 0.004710481177 0.531935802 0.00661494944
## 965  0.2090508991 0.00005240867041 0.016222691056 0.569339807 0.00880270565
## 966  0.6949925948 0.00282886535362 0.000335702561 0.256920825 0.03666089215
## 967  0.4794871989 0.00025517935372 0.002299402557 0.454846202 0.01556083723
## 968  0.6421192443 0.02668866076397 0.000334179453 0.216535938 0.10910834613
## 969  0.4794871989 0.00025517935372 0.002299402557 0.454846202 0.01556083723
## 970  0.1914935152 0.00031772036963 0.025266835486 0.571294575 0.02318057985
## 971  0.6787189373 0.00830613869713 0.000351077243 0.242961701 0.06275862954
## 972  0.4192822155 0.00043023269762 0.003971810098 0.492844067 0.02198344646
## 973  0.6873282461 0.01191289980897 0.000290254654 0.222602768 0.07226115802
## 974  0.7693487963 0.01711181560769 0.000075415066 0.145836136 0.06564174562
## 975  0.2120910079 0.00027432356490 0.020505837099 0.573127537 0.02114623804
## 976  0.7693487963 0.01711181560769 0.000075415066 0.145836136 0.06564174562
## 977  0.6498599993 0.04160542232258 0.000214049499 0.181504193 0.12337575919
## 978  0.4917567614 0.00020126426199 0.002021621727 0.446879168 0.01353157809
## 979  0.3724430850 0.00050818998296 0.005887267839 0.519639375 0.02526144698
## 980  0.3724430850 0.00050818998296 0.005887267839 0.519639375 0.02526144698
## 981  0.5966179210 0.00139905192518 0.000948001991 0.350272453 0.03138423664
## 982  0.5966179210 0.00139905192518 0.000948001991 0.350272453 0.03138423664
## 983  0.7287006267 0.01133405670351 0.000169500852 0.192613946 0.06331267801
## 984  0.7664661248 0.02421597968262 0.000062038485 0.133109036 0.07454466690
## 985  0.6770867365 0.00269716824878 0.000413413917 0.272888125 0.03726590725
## 986  0.5347425502 0.00183478270671 0.001682625108 0.394943450 0.03967501809
## 987  0.0552944470 0.00002062714224 0.078743728213 0.423503527 0.00549930313
## 988  0.3762288431 0.00111493881654 0.006116000419 0.510694023 0.03774396363
## 989  0.6287149590 0.00190091008401 0.000696256394 0.319323412 0.03455423922
## 990  0.4742321506 0.00041118489826 0.002527561094 0.456289133 0.02007905965
## 991  0.7054169706 0.00479229498866 0.000285224003 0.236708838 0.04614801396
## 992  0.7003399718 0.00423906043809 0.000304544620 0.244071679 0.04391127329
## 993  0.5904887372 0.00123257216116 0.000999721420 0.356960616 0.02974872002
## 994  0.3757488928 0.00154035986129 0.006356048761 0.505938924 0.04462990288
## 995  0.6434800202 0.00430288364012 0.000577816346 0.290532835 0.04997096979
## 996  0.0494921616 0.00000227324755 0.057620843015 0.393590596 0.00166958210
## 997  0.3718645978 0.00003686575627 0.002979727082 0.523487197 0.00635370548
## 998  0.3426930832 0.00021157818120 0.006683462486 0.538396425 0.01646362355
## 999  0.1307340239 0.00000369995797 0.021309174500 0.520836234 0.00221720470
## 1000 0.3502733301 0.00024294601840 0.006411277296 0.534439144 0.01757032823
## 1001 0.0227288347 0.00000084293454 0.090452380144 0.287992721 0.00091012889
## 1002 0.3502733301 0.00024294601840 0.006411277296 0.534439144 0.01757032823
## 1003 0.3399572834 0.03536781465378 0.005942899891 0.383492758 0.20216735639
## 1004 0.3425294548 0.00015236778923 0.006394389175 0.538780038 0.01385257329
## 1005 0.1307340239 0.00000369995797 0.021309174500 0.520836234 0.00221720470
## 1006 0.5334481999 0.00084547884985 0.001637670230 0.406504612 0.02684886389
## 1007 0.4570095766 0.00004369778925 0.002142863156 0.472803447 0.00632614460
## 1008 0.6845287021 0.00141616688720 0.000382939298 0.276637146 0.02670158496
## 1009 0.4570095766 0.00004369778925 0.002142863156 0.472803447 0.00632614460
## 1010 0.0461120760 0.00000327520002 0.065931174079 0.388619951 0.00201677975
## 1011 0.5728936026 0.00060779015038 0.001123409739 0.378681426 0.02134928152
## 1012 0.6194190804 0.00231371311171 0.000763691848 0.323560954 0.03873500699
## 1013 0.5728936026 0.00060779015038 0.001123409739 0.378681426 0.02134928152
## 1014 0.5682798972 0.00014446755737 0.000999803861 0.390022324 0.01019894454
## 1015 0.2240520083 0.00018976662284 0.017466656677 0.573011754 0.01724960108
## 1016 0.2986695088 0.00024409540935 0.009715930225 0.557515061 0.01758222020
## 1017 0.1772164979 0.00003442586167 0.019921822393 0.563630183 0.00718542344
## 1018 0.3762288431 0.00111493881654 0.006116000419 0.510694023 0.03774396363
## 1019 0.0598025272 0.00000076059166 0.037877322428 0.415808117 0.00093959786
## 1020 0.3408064781 0.00007858232681 0.005849711331 0.539519678 0.00978881999
## 1021 0.4761492767 0.00015437172452 0.002222349014 0.458658175 0.01201620535
## 1022 0.4045626448 0.00008867395666 0.003638955900 0.506727123 0.00977213042
## 1023 0.7369574767 0.00104290459219 0.000205573535 0.234368475 0.02036410195
## 1024 0.7360075782 0.00017976101638 0.000178094237 0.246525577 0.00825996462
## 1025 0.4706216644 0.03420636371620 0.001708109213 0.314230428 0.16422773339
## 1026 0.5018501961 0.00096211962893 0.002167777880 0.428917541 0.02999657055
## 1027 0.3831478526 0.00158174793479 0.005994185786 0.501267385 0.04486413923
## 1028 0.1920606786 0.00024446652662 0.023759930233 0.573756900 0.02016519773
## 1029 0.7194972762 0.01551712066729 0.000172120800 0.187020173 0.07413220035
## 1030 0.6720476062 0.00371565692204 0.000428755448 0.270553299 0.04394830815
## 1031 0.1455885031 0.00001957367508 0.023924592816 0.546043973 0.00538166365
## 1032 0.1402133547 0.00001677795192 0.025421373408 0.541365714 0.00496283905
## 1033 0.1591490397 0.00001134406074 0.019627853591 0.548711796 0.00399348844
## 1034 0.2123088479 0.00027391653629 0.020484645115 0.574714087 0.02114444791
## 1035 0.2621104457 0.00008661344788 0.011213937237 0.566504222 0.01104954686
## 1036 0.5114925525 0.03213418630103 0.001245952054 0.291313933 0.15150612979
## 1037 0.7092597566 0.00056119060234 0.000275407104 0.264324497 0.01583201542
## 1038 0.2277737947 0.00001262600688 0.010685465118 0.562664188 0.00407333195
## 1039 0.0295726384 0.00000042627119 0.064574862066 0.316276120 0.00064731702
## 1040 0.3496290846 0.00009066237714 0.005612328646 0.535124133 0.01046028945
## 1041 0.6560875235 0.01296419894013 0.000406789351 0.244354469 0.07919771792
## 1042 0.4157425542 0.00113993777368 0.004489771401 0.486173465 0.03653937869
## 1043 0.6319941404 0.00137692969231 0.000669908990 0.321397624 0.02923991042
## 1044 0.4914877920 0.00027884676613 0.002102078422 0.446754094 0.01607103765
## 1045 0.4483995754 0.14145726787865 0.000572027054 0.187706381 0.21698281158
## 1046 0.4914877920 0.00027884676613 0.002102078422 0.446754094 0.01607103765
## 1047 0.6225982002 0.12001558207688 0.000055511597 0.101126307 0.15522074542
## 1048 0.6799611058 0.00474580515972 0.000382097081 0.258232330 0.04849284273
## 1049 0.1151085986 0.00049749618855 0.056672321091 0.538383249 0.03040601004
## 1050 0.1601058340 0.00001576641301 0.020668878446 0.550613980 0.00476875327
## 1051 0.3481798435 0.00064732662560 0.007290649759 0.531156083 0.02937681030
## 1052 0.7485010974 0.00069496363034 0.000170559133 0.227936217 0.01602653251
## 1053 0.0097358421 0.00000230572045 0.193455065452 0.201376422 0.00140698775
## 1054 0.7485010974 0.00069496363034 0.000170559133 0.227936217 0.01602653251
## 1055 0.0091950078 0.00000216226202 0.197770502136 0.195849538 0.00134830564
## 1056 0.6268121261 0.03154388097463 0.000350715644 0.213327591 0.12285318782
## 1057 0.2016004149 0.00000972445294 0.012760792874 0.559938901 0.00360487254
## 1058 0.5663103873 0.00160544920515 0.001265852451 0.372779148 0.03506316123
## 1059 0.2016004149 0.00000972445294 0.012760792874 0.559938901 0.00360487254
## 1060 0.2166410304 0.00001838129558 0.012561193743 0.565052662 0.00501615279
## 1061 0.6655154138 0.00308978283266 0.000466987740 0.279908093 0.04078356730
## 1062 0.5580963799 0.00305136557379 0.001363213429 0.366843952 0.04924174918
## 1063 0.4673667577 0.00150552952561 0.002970911382 0.447842806 0.03944559453
## 1064 0.2225417142 0.00018905153292 0.017479067720 0.574322453 0.01723789637
## 1065 0.0148620392 0.00000023703987 0.094536756826 0.230795145 0.00043825034
## 1066 0.1886690460 0.00051699090476 0.027084434326 0.572695401 0.02996543120
## 1067 0.6012785816 0.00073215393605 0.000875560172 0.354004382 0.02241915670
## 1068 0.3556957770 0.00002793563616 0.004472762933 0.531231481 0.00557582943
## 1069 0.3119428538 0.00008707785219 0.007506517327 0.551406288 0.01061294038
## 1070 0.3340028248 0.00284836561578 0.009254173090 0.516123489 0.06379325939
## 1071 0.3340028248 0.00284836561578 0.009254173090 0.516123489 0.06379325939
## 1072 0.7418010008 0.02521543809031 0.000090173919 0.148785512 0.08202762780
## 1073 0.2348900508 0.00006761015314 0.013533783436 0.569884785 0.00989640791
## 1074 0.1308915969 0.00001714941926 0.028207437630 0.534545598 0.00504571824
## 1075 0.6597826771 0.00830357040812 0.000425896711 0.253080316 0.07077019406
## 1076 0.5153761482 0.01151647144745 0.001767640738 0.353007369 0.09878188015
## 1077 0.1308915969 0.00001714941926 0.028207437630 0.534545598 0.00504571824
## 1078 0.1974188527 0.00000848561219 0.013143989824 0.555752469 0.00335658372
## 1079 0.0777503426 0.00000103396591 0.030674160317 0.453236142 0.00112027550
## 1080 0.4684086368 0.00007002018014 0.002131700428 0.464638270 0.00801219005
## 1081 0.6620431270 0.00452267529563 0.000470288642 0.274140422 0.04926776388
## 1082 0.7588850263 0.03376334724561 0.000053383498 0.121041124 0.08492437460
## 1083 0.7571324740 0.03356075209026 0.000055408494 0.122548553 0.08533179606
## 1084 0.4585611114 0.00043714291566 0.002897411803 0.466770305 0.02114509383
## 1085 0.3649803001 0.00016583582060 0.005399645815 0.527758985 0.01416811917
## 1086 0.5891349147 0.00415327818366 0.001002978001 0.335009510 0.05431396218
## 1087 0.2292309786 0.00001767715205 0.011207775379 0.564635920 0.00486987956
## 1088 0.3961975557 0.00020662050617 0.004350775657 0.509997803 0.01538237025
## 1089 0.5598509995 0.00033906771814 0.001193951057 0.393156043 0.01611697062
## 1090 0.5761590174 0.00031733217525 0.001031486530 0.380350495 0.01520631942
## 1091 0.3161195923 0.00001912941221 0.005737117215 0.544073376 0.00473474367
## 1092 0.5853513255 0.00366480706068 0.001056981589 0.340919112 0.05161916983
## 1093 0.1795865778 0.00004845550429 0.020896881097 0.564586233 0.00859960657
## 1094 0.5914957791 0.00442020017888 0.000975617582 0.331494141 0.05572820291
## 1095 0.5510697642 0.00057220423244 0.001363168205 0.396382101 0.02142605363
## 1096 0.6477414923 0.00015967106219 0.000475768063 0.324249293 0.00939077243
## 1097 0.1825694091 0.00018280120703 0.025280915954 0.571346355 0.01740642733
## 1098 0.6084268917 0.00083208849447 0.000828667324 0.346757605 0.02368086375
## 1099 0.1746723259 0.00042149031369 0.030074070775 0.570588700 0.02715663761
## 1100 0.1759843569 0.00011313472144 0.024896763496 0.567155626 0.01353747945
## 1101 0.1554793568 0.00001900689725 0.022305216334 0.550587122 0.00527358190
## 1102 0.5727332179 0.00182268548633 0.001199021276 0.365268604 0.03734605502
## 1103 0.5107391822 0.00079245781841 0.001981623558 0.424403964 0.02682891198
## 1104 0.3328841638 0.00006829963158 0.006091131224 0.542842137 0.00915842738
## 1105 0.1212133712 0.00001263983248 0.028723823443 0.525479630 0.00428851255
## 1106 0.7233484291 0.00426691616831 0.000228423566 0.224698970 0.04164511327
## 1107 0.3386306761 0.00149553914119 0.008590878401 0.526067886 0.04575736594
## 1108 0.7400812130 0.00931456814260 0.000154595580 0.190183547 0.05649589976
## 1109 0.4229228400 0.00053998325971 0.003958429791 0.489773157 0.02468861503
## 1110 0.6647727273 0.04099488810713 0.000178668790 0.172721955 0.11829330690
## 1111 0.4888571254 0.01774173937290 0.002010899605 0.347786116 0.12419345020
## 1112 0.6905902669 0.00250203268880 0.000355447943 0.262861728 0.03488618548
## 1113 0.5966179210 0.00139905192518 0.000948001991 0.350272453 0.03138423664
## 1114 0.5966179210 0.00139905192518 0.000948001991 0.350272453 0.03138423664
## 1115 0.5966179210 0.00139905192518 0.000948001991 0.350272453 0.03138423664
## 1116 0.6068940514 0.00412257329744 0.000843635092 0.321104502 0.05245686191
## 1117 0.6068940514 0.00412257329744 0.000843635092 0.321104502 0.05245686191
## 1118 0.4204145021 0.00179764036749 0.004450691015 0.476288009 0.04584114413
## 1119 0.0639059215 0.00000065819813 0.035238232963 0.416983643 0.00086864510
## 1120 0.6068940514 0.00412257329744 0.000843635092 0.321104502 0.05245686191
## 1121 0.7104089288 0.00121604549653 0.000282427275 0.256156302 0.02335077403
## 1122 0.1871207038 0.00010937804903 0.022309216764 0.569646353 0.01320778116
## 1123 0.0329441279 0.00000273791751 0.084972838125 0.338958689 0.00178620877
## 1124 0.1777237110 0.00002485447245 0.018953785096 0.560028713 0.00602797980
## 1125 0.7137782695 0.00520141139692 0.000250965960 0.228033929 0.04675798678
## 1126 0.0831134102 0.00008881846980 0.066805544973 0.488484713 0.01221112895
## 1127 0.1444017636 0.00008893881973 0.032669895971 0.553039741 0.01210188396
## 1128 0.1806486228 0.00001057223779 0.015875425656 0.554286346 0.00381119017
## 1129 0.2298483024 0.00113111330558 0.021005949442 0.564683532 0.04384742459
## 1130 0.3319850977 0.00130495075886 0.008974330926 0.531221813 0.04295877367
## 1131 0.0632019783 0.00000522157210 0.053414090614 0.434184040 0.00264875739
## 1132 0.2349122541 0.00139133808309 0.019878985749 0.564705416 0.04844124951
## 1133 0.5220612033 0.00024516765009 0.001598055129 0.423965655 0.01438861324
## 1134 0.0809942946 0.00000507490389 0.040724094326 0.469290988 0.00262465030
## 1135 0.0986093100 0.00000569148386 0.033217773086 0.493984026 0.00280642354
## 1136 0.3788500971 0.00080589065214 0.005871494055 0.512327234 0.03187306600
## 1137 0.1937176668 0.00017665147718 0.022655035245 0.571706143 0.01696489242
## 1138 0.3131928162 0.00261617726107 0.010974119767 0.527570779 0.06245139260
## 1139 0.2841166932 0.00018482668641 0.010497098385 0.561768605 0.01619730405
## 1140 0.6871925948 0.00221474687500 0.000374290956 0.267642009 0.03322956139
## 1141 0.4628991800 0.00095575439990 0.002998546610 0.457024943 0.03147838837
## 1142 0.2704938205 0.00026859602386 0.012386110118 0.565310124 0.01996254855
## 1143 0.5595763080 0.00207857876699 0.001349589221 0.373489827 0.04064701233
##          Very Good
## 1    0.00476915808
## 2    0.00258150823
## 3    0.00604226893
## 4    0.09635468413
## 5    0.00476915808
## 6    0.00620388676
## 7    0.00911295268
## 8    0.01587224536
## 9    0.01141712419
## 10   0.00756281662
## 11   0.01770721650
## 12   0.00531652806
## 13   0.19976510331
## 14   0.03590591085
## 15   0.04841812547
## 16   0.02945310355
## 17   0.01792665194
## 18   0.04579619456
## 19   0.02788914119
## 20   0.03300392327
## 21   0.00446160059
## 22   0.01266208618
## 23   0.01649650393
## 24   0.01192405595
## 25   0.03608940053
## 26   0.00931465116
## 27   0.06545040210
## 28   0.04948384953
## 29   0.09641492737
## 30   0.00731702471
## 31   0.07929202174
## 32   0.02411504677
## 33   0.51919904343
## 34   0.00060597967
## 35   0.00450231441
## 36   0.01491920654
## 37   0.01683911067
## 38   0.03400629357
## 39   0.04903651117
## 40   0.03584694635
## 41   0.02375775511
## 42   0.03203962148
## 43   0.02277371981
## 44   0.00433819325
## 45   0.00713521759
## 46   0.03773009647
## 47   0.03773009647
## 48   0.03232679722
## 49   0.02444225863
## 50   0.00597743760
## 51   0.00407947964
## 52   0.11632746901
## 53   0.01986334866
## 54   0.01027873646
## 55   0.00482364082
## 56   0.01691686169
## 57   0.01069867890
## 58   0.15306067116
## 59   0.03440404938
## 60   0.03659669674
## 61   0.02401709688
## 62   0.03693390422
## 63   0.00423598550
## 64   0.01737079855
## 65   0.03659669674
## 66   0.02401709688
## 67   0.00259925074
## 68   0.02123985533
## 69   0.00221509071
## 70   0.00683922271
## 71   0.02804894660
## 72   0.00683922271
## 73   0.00780726551
## 74   0.01792665194
## 75   0.00780726551
## 76   0.02483698804
## 77   0.00642921878
## 78   0.01362688144
## 79   0.01481022375
## 80   0.07352545722
## 81   0.01362688144
## 82   0.12167812267
## 83   0.03170430303
## 84   0.00011095727
## 85   0.09461686285
## 86   0.00356623635
## 87   0.01957619698
## 88   0.00008140059
## 89   0.00008140059
## 90   0.04622293332
## 91   0.00352201922
## 92   0.52066935418
## 93   0.00073798379
## 94   0.00486400158
## 95   0.02084602075
## 96   0.00486400158
## 97   0.67192243553
## 98   0.03213377515
## 99   0.67192243553
## 100  0.00581214756
## 101  0.01378806398
## 102  0.05455652171
## 103  0.13420760313
## 104  0.01496902758
## 105  0.02583375478
## 106  0.02583375478
## 107  0.10600545467
## 108  0.10600545467
## 109  0.10600545467
## 110  0.00463600548
## 111  0.00775671503
## 112  0.00105686867
## 113  0.00394594138
## 114  0.03355194497
## 115  0.00911295268
## 116  0.00970550227
## 117  0.00880433923
## 118  0.02354570906
## 119  0.00666978320
## 120  0.03298619137
## 121  0.00077223111
## 122  0.02015333124
## 123  0.13196090030
## 124  0.01957619698
## 125  0.03905130958
## 126  0.06816618126
## 127  0.00321674193
## 128  0.00999047569
## 129  0.00999047569
## 130  0.00731163308
## 131  0.00331418547
## 132  0.00731163308
## 133  0.00682084056
## 134  0.07369622809
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## 
## $terms
## quality ~ alcohol + `volatile acidity`
## attr(,"variables")
## list(quality, alcohol, `volatile acidity`)
## attr(,"factors")
##                    alcohol `volatile acidity`
## quality                  0                  0
## alcohol                  1                  0
## `volatile acidity`       0                  1
## attr(,"term.labels")
## [1] "alcohol"            "`volatile acidity`"
## attr(,"order")
## [1] 1 1
## attr(,"intercept")
## [1] 1
## attr(,"response")
## [1] 1
## attr(,".Environment")
## <environment: R_GlobalEnv>
## attr(,"predvars")
## list(quality, alcohol, `volatile acidity`)
## attr(,"dataClasses")
##          quality          alcohol volatile acidity 
##      "character"        "numeric"        "numeric" 
## 
## $call
## lda(formula = quality ~ ., data = df, CV = TRUE)
## 
## $xlevels
## named list()
attach(df)
## The following objects are masked from df (pos = 8):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 9):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 10):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 11):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 23):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 26):
## 
##     alcohol, quality, volatile acidity
head(r2$class)
## [1] Average Average Average Good    Average Average
## Levels: Average Bad Excellent Good Poor Very Good
#the Maximum a Posteriori Probability (MAP) classification (a factor)
#posterior: posterior probabilities for the classes.
head(r2$posterior, 3)
##     Average         Bad    Excellent      Good       Poor   Very Good
## 1 0.7324358 0.006128663 0.0001911400 0.2084485 0.04802675 0.004769158
## 2 0.6776194 0.042690611 0.0001439515 0.1614247 0.11553985 0.002581508
## 3 0.6833591 0.010562113 0.0003113378 0.2307911 0.06893412 0.006042269
train <- sample(1:150, 75)
train
##  [1]  70 120 135  63  60  54  89  84   5  95  48  10  15  51 117 126  21   4  47
## [20] 136 141  59   9  96  53  97  33  91   8  85 113  35  28  82  24 127 145  37
## [39] 133 115 104  16  30 112 139  25  19 148 144 116  57 110  40  50  14 125  42
## [58]  12  83  76 132  44   6   2  92 123 130  18 114  29  11  32  72  26 100
# Assuming `train` is a vector of indices
train_indices <- train
train_df <- df[train_indices, ]

# Calculate prior probabilities
unique_classes <- unique(train_df$quality)
num_classes <- length(unique_classes)
prior <- rep(1/num_classes, num_classes)

# Train the LDA model
r3 <- lda(quality ~ ., 
          train_df,
          prior = prior)
  1. Model Insights (10 points)

  2. Prediction

Observation 1 has a high LD1 value and a moderate LD2 value, suggesting a higher probability of belonging to the “Average” quality class.

Observation 2 has a moderate LD1 value and a negative LD2 value, suggesting a higher probability of belonging to the “Poor” quality class.

Observation 3 has a negative LD1 value and a high LD2 value, indicating a higher probability of belonging to the “Very Good” quality class.

Observation 4 has a moderate LD1 value and a moderate LD2 value, suggesting a higher probability of belonging to the “Average” quality class.

Observation 5 has a high LD1 value and a negative LD2 value, indicating a higher probability of belonging to the “Average” quality class.

Observation 6 has a negative LD1 value and a positive LD2 value, suggesting a higher probability of belonging to the “Good” quality class.

plda = predict(object = r3, # predictions
               newdata = df[-train, ])
head(plda$class)
## [1] Average   Average   Average   Very Good Very Good Very Good
## Levels: Average Good Poor Very Good
head(plda$posterior, 6) # posterior prob.
##      Average      Good      Poor Very Good
## 1 0.38216170 0.1633311 0.2892684 0.1652388
## 2 0.37850895 0.1566560 0.3285556 0.1362794
## 3 0.31447365 0.2051794 0.2574410 0.2229060
## 4 0.08262368 0.3840338 0.1441641 0.3891784
## 5 0.24082876 0.2502410 0.2149044 0.2940259
## 6 0.18516034 0.2852671 0.1842011 0.3453714
head(plda$x, 3)
##         LD1        LD2
## 1 1.0222251 -0.3068424
## 2 1.2303376  0.2122278
## 3 0.4500579 -0.4699968
plot(r)

plot(r3)

r <- lda(quality ~ .,
         train_df,
         prior = prior)
prop.lda = r$svd^2/sum(r$svd^2)
plda <- predict(object = r,
                newdata = df)
dataset = data.frame(species = df[,"quality"],lda = plda$x)
ggplot(dataset) + geom_point(aes(lda.LD1, lda.LD2, colour = quality, shape = quality), size = 2.5) + labs(x = paste("LD1 (", percent(prop.lda[1]), ")", sep=""),y = paste("LD2 (", percent(prop.lda[2]), ")", sep=""))

# lets play with accuracy
# lets look at another way to divide a dataset

set.seed(101) # Nothing is random!!
sample_n(df,10)
## # A tibble: 10 × 3
##    alcohol `volatile acidity` quality  
##      <dbl>              <dbl> <chr>    
##  1    12.4              0.33  Very Good
##  2     9.2              0.415 Average  
##  3    10.5              0.51  Good     
##  4    11.2              0.48  Average  
##  5     9.2              0.58  Average  
##  6     9.6              0.55  Average  
##  7    11.1              0.34  Average  
##  8     9                0.52  Good     
##  9    10.2              0.45  Good     
## 10     9.4              0.46  Average
# Lets take a sample of 75/25 like before. Dplyr preserves class. 
training_sample <- sample(c(TRUE, FALSE), nrow(df), replace = T, prob = c(0.75,0.25))
train <- df[training_sample, ]
test <- df[!training_sample, ]
#lets run LDA like before
lda.df <- lda(quality ~ ., train)
# do a quick plot to understand how good the model is
plot(lda.df, col = as.integer(train$quality))
## Warning in eqscplot(X[, 1L:2L], xlab = xlab, ylab = ylab, type = "n", ...): NAs
## introduced by coercion

# Sometime bell curves are better
# Set outer margin to zero
par(oma = c(0, 0, 0, 0))

# Set inner margin to a smaller value
par(mar = c(2, 2, 2, 2))
# Set outer margin to zero
par(oma = c(0, 0, 0, 0))

# Set inner margin to a smaller value
par(mar = c(2, 2, 2, 2))

# Set the plot region directly
par(plt = c(0.1, 0.9, 0.1, 0.9))

# Plot the LDA result
plot(lda.df, dimen = 1, type = "b")

# Reset plotting parameters
par(oma = c(0, 0, 0, 0))
par(mar = c(5, 4, 4, 2) + 0.1)  # Reset to default values
attach(train)
## The following objects are masked from df (pos = 3):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 9):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 10):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 11):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 12):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 24):
## 
##     alcohol, quality, volatile acidity
## The following objects are masked from df (pos = 27):
## 
##     alcohol, quality, volatile acidity
train
## # A tibble: 861 × 3
##    alcohol `volatile acidity` quality  
##      <dbl>              <dbl> <chr>    
##  1     9.8              0.88  Average  
##  2     9.8              0.76  Average  
##  3     9.4              0.66  Average  
##  4     9.4              0.6   Average  
##  5    10                0.65  Very Good
##  6     9.5              0.58  Very Good
##  7     9.2              0.58  Average  
##  8     9.9              0.615 Average  
##  9     9.1              0.61  Average  
## 10    10.5              0.28  Very Good
## # ℹ 851 more rows
  1. Residual Analysis

The residual analysis for the predictor variable “volatile acidity” reveals significant variability in the response variable “quality” that is not explained by this predictor.

The residual sum of squares (SS) is 30.4343, indicating the total unexplained variability in the response variable after accounting for “volatile acidity.”

The mean square (MS) represents the average unexplained variability per degree of freedom, which is 0.02677.

The associated F-value (F) is 47.938, indicating that there is a significant difference in the mean response variable among the groups defined by “quality.”

The p-value (Pr(>F)) is less than 2.2e-16, indicating strong evidence against the null hypothesis. This suggests that “volatile acidity” significantly influences the quality of the product.

Overall, the residual analysis underscores the importance of “volatile acidity” as a predictor of product quality. However, it also implies that other factors not included in the model may contribute to the remaining variability in product quality.

Further investigation or refinement of the model may be necessary to capture these additional influences.

  1. Model Accuracy (2 points) Df (Degrees of Freedom): For the factor “quality”: 5 degrees of freedom, representing the number of quality levels minus 1.

For residuals: 1137 degrees of freedom, representing the error or unexplained variability.

Sum Sq (Sum of Squares):

For the factor “quality”: 356.83, which is the variability in alcohol content explained by the quality levels. For residuals: 980.62, which is the unexplained variability or error.

Mean Sq (Mean Square):

For the factor “quality”: 71.366, which is the average amount of variability in alcohol content explained by the quality levels.

For residuals: 0.862, which is the average amount of unexplained variability or error.

F value (F-statistic):

This value tests the null hypothesis that there is no relationship between alcohol content and quality levels. The obtained F value of 82.747 is highly significant (p < 0.05), indicating strong evidence against the null hypothesis.

Pr(>F) (p-value):

This is the probability of observing an F statistic as extreme as the one obtained if the null hypothesis were true.

The very small p-value (< 2.2e-16) indicates strong evidence against the null hypothesis, suggesting a significant relationship between alcohol content and quality levels.

Overall, the ANOVA results suggest that alcohol content significantly influences the quality levels of the observations.

# Reset to default values
# THis plot shows the essense of LDA. It puts everything on a line and finds cutoffs. 
# Partition plots
# Print the column names of the train data frame
train$quality <- factor(train$quality)

partimat(train$quality ~ train$alcohol + train$`volatile acidity` , data=train, method="lda")

# Lets focus on accuracy. Table function
lda.train <- predict(lda.df)
train$lda <- lda.train$class
table(train$lda,train$quality)
##            
##             Average Bad Excellent Good Poor Very Good
##   Average       283   3         0  132   22         5
##   Bad             1   1         0    0    1         0
##   Excellent       0   0         0    0    0         0
##   Good           77   0         5  186    6        62
##   Poor            0   0         0    0    0         0
##   Very Good       4   0         4   31    1        37
# running accuracy on the training set shows how good the model is. It is not an indication of "true" accuracy. We will use the test set to approximate accuracy
lda.test <- predict(lda.df,test)
test$lda <- lda.test$class
table(test$lda,test$quality)
##            
##             Average Bad Excellent Good Poor Very Good
##   Average        92   2         0   44    3         1
##   Bad             3   0         0    0    0         0
##   Excellent       0   0         0    0    0         0
##   Good           22   0         3   54    0        24
##   Poor            0   0         0    0    0         0
##   Very Good       1   0         4   15    0        14
# Wilk's Lambda and F test for each variablw
m <- manova(cbind(alcohol,`volatile acidity`)~quality,data=df)
summary(m,test="Wilks")
##             Df   Wilks approx F num Df den Df                Pr(>F)    
## quality      5 0.63168   58.665     10   2272 < 0.00000000000000022 ***
## Residuals 1137                                                         
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary(m,test="Pillai")
##             Df  Pillai approx F num Df den Df                Pr(>F)    
## quality      5 0.37817   53.024     10   2274 < 0.00000000000000022 ***
## Residuals 1137                                                         
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
summary.aov(m)
##  Response alcohol :
##               Df Sum Sq Mean Sq F value                Pr(>F)    
## quality        5 356.83  71.366  82.747 < 0.00000000000000022 ***
## Residuals   1137 980.62   0.862                                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
##  Response volatile acidity :
##               Df  Sum Sq Mean Sq F value                Pr(>F)    
## quality        5  6.4158 1.28317  47.938 < 0.00000000000000022 ***
## Residuals   1137 30.4343 0.02677                                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
  1. Learnings and Takeaways (20 points)

Positive Attributes (Positive Correlation with Quality):

Alcohol: Generally indicates that higher alcohol levels might be associated with better quality wines.

Sulphates: A slight positive relationship with quality may suggest that sulphates contribute favorably to certain aspects of wine preservation that are appreciated in quality wines.

Free Sulfur Dioxide: A mild positive link suggests a small favorable effect on quality, possibly through its role in maintaining freshness. Citric Acid: Weak positive association indicates it might have a slightly favorable impact on wine’s taste and perceived quality.

Negative Attributes (Negative Correlation with Quality):

Volatile Acidity: A negative association suggests that higher levels are typically found in lower quality wines due to the potential for undesirable flavors.

Density: Seems to have a negative impact, where higher density may be associated with lower quality wines. Fixed Acidity: Slight negative correlation may imply that higher levels of fixed acidity aren’t typically preferred in quality wines.

Neutral Attributes (Minimal or No Correlation with Quality):

pH: The correlation is so minimal that pH levels seem to have a negligible impact on quality in this context. Total Sulfur Dioxide: Very low positive correlation, not significantly affecting quality perception.

Chlorides: Very weak correlation, indicating that the presence of chlorides does not have a strong influence on the quality. Residual

Sugar: Has a very low correlation, suggesting that sugar levels do not play a major role in determining the quality of these wines.